Results of Elementary Functions II
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 4.24.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acos@@{z} = (2(1-z))^{1/2}\*\left(1+\sum_{n=1}^{\infty}\frac{1\cdot 3\cdot 5\cdots(2n-1)}{2^{2n}(2n+1)n!}(1-z)^{n}\right)}
\acos@@{z} = (2(1-z))^{1/2}\*\left(1+\sum_{n=1}^{\infty}\frac{1\cdot 3\cdot 5\cdots(2n-1)}{2^{2n}(2n+1)n!}(1-z)^{n}\right) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |1-z| \leq 2} | arccos(z) = (2*(1 - z))^(1/2)*(1 + sum((1 * 3 * 5*(2*n - 1))/((2)^(2*n)*(2*n + 1)*factorial(n))*(1 - z)^(n), n = 1..infinity))
|
ArcCos[z] == (2*(1 - z))^(1/2)*(1 + Sum[Divide[1 * 3 * 5*(2*n - 1),(2)^(2*n)*(2*n + 1)*(n)!]*(1 - z)^(n), {n, 1, Infinity}, GenerateConditions->None])
|
Failure | Failure | Failed [7 / 7] Result: .3065228369+.5552108774*I
Test Values: {z = 1/2*3^(1/2)+1/2*I}
Result: -3.012742443+4.300365362*I
Test Values: {z = -1/2+1/2*I*3^(1/2)}
Result: .3498215011-1.819822265*I
Test Values: {z = 1/2-1/2*I*3^(1/2)}
Result: -5.876013992-3.037981862*I
Test Values: {z = -1/2*3^(1/2)-1/2*I}
... skip entries to safe data |
Failed [7 / 7]
Result: Complex[0.3065228364484756, 0.5552108781095243]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}
Result: Complex[-3.0127424460165777, 4.300365361528893]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}
... skip entries to safe data |
| 4.24.E6 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x^{2}-y^{2} = -\tfrac{1}{2}}
x^{2}-y^{2} = -\tfrac{1}{2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (x)^(2)- (y)^(2) = -(1)/(2) |
(x)^(2)- (y)^(2) == -Divide[1,2] |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.24.E7 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\asin@@{z} = (1-z^{2})^{-1/2}}
\deriv{}{z}\asin@@{z} = (1-z^{2})^{-1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arcsin(z), z) = (1 - (z)^(2))^(- 1/2)
|
D[ArcSin[z], z] == (1 - (z)^(2))^(- 1/2)
|
Successful | Successful | - | Successful [Tested: 7] |
| 4.24.E8 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\acos@@{z} = -(1-z^{2})^{-1/2}}
\deriv{}{z}\acos@@{z} = -(1-z^{2})^{-1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arccos(z), z) = -(1 - (z)^(2))^(- 1/2)
|
D[ArcCos[z], z] == -(1 - (z)^(2))^(- 1/2)
|
Successful | Successful | - | Successful [Tested: 7] |
| 4.24.E9 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\atan@@{z} = \frac{1}{1+z^{2}}}
\deriv{}{z}\atan@@{z} = \frac{1}{1+z^{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arctan(z), z) = (1)/(1 + (z)^(2))
|
D[ArcTan[z], z] == Divide[1,1 + (z)^(2)]
|
Successful | Successful | - | Successful [Tested: 7] |
| 4.24.E10 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\acsc@@{z} = -\frac{1}{z(z^{2}-1)^{1/2}}}
\deriv{}{z}\acsc@@{z} = -\frac{1}{z(z^{2}-1)^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arccsc(z), z) = -(1)/(z*((z)^(2)- 1)^(1/2))
|
D[ArcCsc[z], z] == -Divide[1,z*((z)^(2)- 1)^(1/2)]
|
Failure | Failure | Failed [2 / 7] Result: 1.074569932-1.074569932*I
Test Values: {z = -1/2+1/2*I*3^(1/2), z = 1/2}
Result: -.6696152420e-9+2.000000000*I
Test Values: {z = -1/2*3^(1/2)-1/2*I, z = 1/2}
|
Successful [Tested: 1] |
| 4.24.E10 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\acsc@@{z} = +\frac{1}{z(z^{2}-1)^{1/2}}}
\deriv{}{z}\acsc@@{z} = +\frac{1}{z(z^{2}-1)^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arccsc(z), z) = +(1)/(z*((z)^(2)- 1)^(1/2))
|
D[ArcCsc[z], z] == +Divide[1,z*((z)^(2)- 1)^(1/2)]
|
Failure | Failure | Failed [5 / 7] Result: -.6696152420e-9+2.000000000*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, z = 1/2}
Result: 1.074569932-1.074569932*I
Test Values: {z = 1/2-1/2*I*3^(1/2), z = 1/2}
Result: -1.192569588
Test Values: {z = 1.5, z = 1/2}
Result: 4.618802153*I
Test Values: {z = .5, z = 1/2}
... skip entries to safe data |
Failed [1 / 1]
Result: Complex[0.0, 4.618802153517007]
Test Values: {Rule[z, Rational[1, 2]]}
|
| 4.24.E11 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\asec@@{z} = +\frac{1}{z(z^{2}-1)^{1/2}}}
\deriv{}{z}\asec@@{z} = +\frac{1}{z(z^{2}-1)^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arcsec(z), z) = +(1)/(z*((z)^(2)- 1)^(1/2))
|
D[ArcSec[z], z] == +Divide[1,z*((z)^(2)- 1)^(1/2)]
|
Failure | Failure | Failed [2 / 7] Result: -1.074569932+1.074569932*I
Test Values: {z = -1/2+1/2*I*3^(1/2), z = 1/2}
Result: .6696152420e-9-2.000000000*I
Test Values: {z = -1/2*3^(1/2)-1/2*I, z = 1/2}
|
Successful [Tested: 1] |
| 4.24.E11 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\asec@@{z} = -\frac{1}{z(z^{2}-1)^{1/2}}}
\deriv{}{z}\asec@@{z} = -\frac{1}{z(z^{2}-1)^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arcsec(z), z) = -(1)/(z*((z)^(2)- 1)^(1/2))
|
D[ArcSec[z], z] == -Divide[1,z*((z)^(2)- 1)^(1/2)]
|
Failure | Failure | Failed [5 / 7] Result: .6696152420e-9-2.000000000*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, z = 1/2}
Result: -1.074569932+1.074569932*I
Test Values: {z = 1/2-1/2*I*3^(1/2), z = 1/2}
Result: 1.192569588
Test Values: {z = 1.5, z = 1/2}
Result: -4.618802153*I
Test Values: {z = .5, z = 1/2}
... skip entries to safe data |
Failed [1 / 1]
Result: Complex[0.0, -4.618802153517007]
Test Values: {Rule[z, Rational[1, 2]]}
|
| 4.24.E12 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\acot@@{z} = -\frac{1}{1+z^{2}}}
\deriv{}{z}\acot@@{z} = -\frac{1}{1+z^{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arccot(z), z) = -(1)/(1 + (z)^(2))
|
D[ArcCot[z], z] == -Divide[1,1 + (z)^(2)]
|
Successful | Successful | - | Successful [Tested: 7] |
| 4.24.E13 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asin@@{u}+\Asin@@{v} = \Asin@{u(1-v^{2})^{1/2}+ v(1-u^{2})^{1/2}}}
\Asin@@{u}+\Asin@@{v} = \Asin@{u(1-v^{2})^{1/2}+ v(1-u^{2})^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
ArcSin[u]+ ArcSin[v] == ArcSin[u*(1 - (v)^(2))^(1/2)+ v*(1 - (u)^(2))^(1/2)]
|
Missing Macro Error | Failure | - | Failed [34 / 100]
Result: Complex[4.440892098500626*^-16, 2.633915793849633]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}
Result: Complex[1.5707963267948966, -0.6078894033135972]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, 1.5]}
... skip entries to safe data |
| 4.24.E13 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asin@@{u}-\Asin@@{v} = \Asin@{u(1-v^{2})^{1/2}- v(1-u^{2})^{1/2}}}
\Asin@@{u}-\Asin@@{v} = \Asin@{u(1-v^{2})^{1/2}- v(1-u^{2})^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
ArcSin[u]- ArcSin[v] == ArcSin[u*(1 - (v)^(2))^(1/2)- v*(1 - (u)^(2))^(1/2)]
|
Missing Macro Error | Failure | - | Failed [34 / 100]
Result: Complex[4.440892098500626*^-16, 2.633915793849633]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}
Result: Complex[1.5707963267948966, -0.6078894033135972]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, -1.5]}
... skip entries to safe data |
| 4.24.E14 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Acos@@{u}+\Acos@@{v} = \Acos@{uv-((1-u^{2})(1-v^{2}))^{1/2}}}
\Acos@@{u}+\Acos@@{v} = \Acos@{uv-((1-u^{2})(1-v^{2}))^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
ArcCos[u]+ ArcCos[v] == ArcCos[u*v -((1 - (u)^(2))*(1 - (v)^(2)))^(1/2)]
|
Missing Macro Error | Failure | - | Failed [63 / 100]
Result: Complex[1.5707963267948963, -3.2418051971632305]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, -1.5]}
Result: Complex[1.5707963267948966, -3.9508736907744497]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, -2]}
... skip entries to safe data |
| 4.24.E14 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Acos@@{u}-\Acos@@{v} = \Acos@{uv+((1-u^{2})(1-v^{2}))^{1/2}}}
\Acos@@{u}-\Acos@@{v} = \Acos@{uv+((1-u^{2})(1-v^{2}))^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
ArcCos[u]- ArcCos[v] == ArcCos[u*v +((1 - (u)^(2))*(1 - (v)^(2)))^(1/2)]
|
Missing Macro Error | Failure | - | Failed [63 / 100]
Result: Complex[-2.3202651922123767, 0.3459279941338042]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}
Result: Complex[-0.8213274613774166, -2.979843787983438]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}
... skip entries to safe data |
| 4.24.E15 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atan@@{u}+\Atan@@{v} = \Atan@{\frac{u+ v}{1- uv}}}
\Atan@@{u}+\Atan@@{v} = \Atan@{\frac{u+ v}{1- uv}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
ArcTan[u]+ ArcTan[v] == ArcTan[Divide[u + v,1 - u*v]]
|
Missing Macro Error | Failure | - | Successful [Tested: 1] |
| 4.24.E15 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atan@@{u}-\Atan@@{v} = \Atan@{\frac{u- v}{1+ uv}}}
\Atan@@{u}-\Atan@@{v} = \Atan@{\frac{u- v}{1+ uv}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
ArcTan[u]- ArcTan[v] == ArcTan[Divide[u - v,1 + u*v]]
|
Missing Macro Error | Failure | - | Successful [Tested: 1] |
| 4.24.E16 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asin@@{u}+\Acos@@{v} = \Asin@{uv+((1-u^{2})(1-v^{2}))^{1/2}}}
\Asin@@{u}+\Acos@@{v} = \Asin@{uv+((1-u^{2})(1-v^{2}))^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
ArcSin[u]+ ArcCos[v] == ArcSin[u*v +((1 - (u)^(2))*(1 - (v)^(2)))^(1/2)]
|
Missing Macro Error | Failure | - | Failed [63 / 100]
Result: Complex[2.3202651922123767, -0.3459279941338042]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}
Result: Complex[0.8213274613774166, 2.979843787983438]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}
... skip entries to safe data |
| 4.24.E16 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asin@@{u}-\Acos@@{v} = \Asin@{uv-((1-u^{2})(1-v^{2}))^{1/2}}}
\Asin@@{u}-\Acos@@{v} = \Asin@{uv-((1-u^{2})(1-v^{2}))^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
ArcSin[u]- ArcCos[v] == ArcSin[u*v -((1 - (u)^(2))*(1 - (v)^(2)))^(1/2)]
|
Missing Macro Error | Failure | - | Failed [63 / 100]
Result: Complex[-1.5707963267948963, 3.2418051971632305]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, -1.5]}
Result: Complex[-1.5707963267948966, 3.9508736907744497]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, -2]}
... skip entries to safe data |
| 4.24.E16 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asin@{uv+((1-u^{2})(1-v^{2}))^{1/2}} = \Acos@{v(1-u^{2})^{1/2}- u(1-v^{2})^{1/2}}}
\Asin@{uv+((1-u^{2})(1-v^{2}))^{1/2}} = \Acos@{v(1-u^{2})^{1/2}- u(1-v^{2})^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
ArcSin[u*v +((1 - (u)^(2))*(1 - (v)^(2)))^(1/2)] == ArcCos[v*(1 - (u)^(2))^(1/2)- u*(1 - (v)^(2))^(1/2)]
|
Missing Macro Error | Failure | - | Failed [72 / 100]
Result: Complex[-2.3202651922123763, 0.3459279941338042]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}
Result: Complex[-0.8213274613774164, -2.979843787983438]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}
... skip entries to safe data |
| 4.24.E16 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asin@{uv-((1-u^{2})(1-v^{2}))^{1/2}} = \Acos@{v(1-u^{2})^{1/2}+ u(1-v^{2})^{1/2}}}
\Asin@{uv-((1-u^{2})(1-v^{2}))^{1/2}} = \Acos@{v(1-u^{2})^{1/2}+ u(1-v^{2})^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
ArcSin[u*v -((1 - (u)^(2))*(1 - (v)^(2)))^(1/2)] == ArcCos[v*(1 - (u)^(2))^(1/2)+ u*(1 - (v)^(2))^(1/2)]
|
Missing Macro Error | Failure | - | Failed [91 / 100]
Result: Complex[-2.3202651922123767, 2.979843787983438]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}
Result: Complex[-0.8213274613774161, -0.3459279941338048]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}
... skip entries to safe data |
| 4.24.E17 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atan@@{u}+\Acot@@{v} = \Atan@{\frac{uv+ 1}{v- u}}}
\Atan@@{u}+\Acot@@{v} = \Atan@{\frac{uv+ 1}{v- u}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
ArcTan[u]+ ArcCot[v] == ArcTan[Divide[u*v + 1,v - u]]
|
Missing Macro Error | Failure | - | Failed [1 / 10]
Result: Indeterminate
Test Values: {Rule[u, Rational[1, 2]], Rule[v, 0.5]}
|
| 4.24.E17 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atan@@{u}-\Acot@@{v} = \Atan@{\frac{uv- 1}{v+ u}}}
\Atan@@{u}-\Acot@@{v} = \Atan@{\frac{uv- 1}{v+ u}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
ArcTan[u]- ArcCot[v] == ArcTan[Divide[u*v - 1,v + u]] |
Missing Macro Error | Failure | - | Failed [1 / 10]
Result: Indeterminate
Test Values: {Rule[u, Rational[1, 2]], Rule[v, -0.5]} |
| 4.24.E17 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atan@{\frac{uv+ 1}{v- u}} = \Acot@{\frac{v- u}{uv+ 1}}}
\Atan@{\frac{uv+ 1}{v- u}} = \Acot@{\frac{v- u}{uv+ 1}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcTan[Divide[u*v + 1,v - u]] == ArcCot[Divide[v - u,u*v + 1]] |
Missing Macro Error | Failure | - | Failed [1 / 10]
Result: Indeterminate
Test Values: {Rule[u, Rational[1, 2]], Rule[v, 0.5]} |
| 4.24.E17 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atan@{\frac{uv- 1}{v+ u}} = \Acot@{\frac{v+ u}{uv- 1}}}
\Atan@{\frac{uv- 1}{v+ u}} = \Acot@{\frac{v+ u}{uv- 1}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcTan[Divide[u*v - 1,v + u]] == ArcCot[Divide[v + u,u*v - 1]] |
Missing Macro Error | Failure | - | Failed [1 / 10]
Result: Indeterminate
Test Values: {Rule[u, Rational[1, 2]], Rule[v, -0.5]} |
| 4.26.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\sin@@{x}\diff{x} = -\cos@@{x}}
\int\sin@@{x}\diff{x} = -\cos@@{x} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | int(sin(x), x) = - cos(x) |
Integrate[Sin[x], x, GenerateConditions->None] == - Cos[x] |
Successful | Successful | - | Successful [Tested: 3] |
| 4.26.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\cos@@{x}\diff{x} = \sin@@{x}}
\int\cos@@{x}\diff{x} = \sin@@{x} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | int(cos(x), x) = sin(x) |
Integrate[Cos[x], x, GenerateConditions->None] == Sin[x] |
Successful | Successful | - | Successful [Tested: 3] |
| 4.26.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\tan@@{x}\diff{x} = -\ln@{\cos@@{x}}}
\int\tan@@{x}\diff{x} = -\ln@{\cos@@{x}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\tfrac{1}{2}\pi < x, x < \tfrac{1}{2}\pi} | int(tan(x), x) = - ln(cos(x)) |
Integrate[Tan[x], x, GenerateConditions->None] == - Log[Cos[x]] |
Successful | Successful | - | Successful [Tested: 2] |
| 4.26.E4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\csc@@{x}\diff{x} = \ln@{\tan@@{\tfrac{1}{2}x}}}
\int\csc@@{x}\diff{x} = \ln@{\tan@@{\tfrac{1}{2}x}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < x, x < \pi} | int(csc(x), x) = ln(tan((1)/(2)*x)) |
Integrate[Csc[x], x, GenerateConditions->None] == Log[Tan[Divide[1,2]*x]] |
Failure | Successful | Successful [Tested: 3] | Successful [Tested: 3] |
| 4.26.E5 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\sec@@{x}\diff{x} = \aGudermannian@{x}}
\int\sec@@{x}\diff{x} = \aGudermannian@{x} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\frac{1}{2}\pi < x, x < \frac{1}{2}\pi} | int(sec(x), x) = arctanh(sin(x)) |
Integrate[Sec[x], x, GenerateConditions->None] == InverseGudermannian[x] |
Failure | Failure | Successful [Tested: 2] | Successful [Tested: 2] |
| 4.26.E6 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\cot@@{x}\diff{x} = \ln@{\sin@@{x}}}
\int\cot@@{x}\diff{x} = \ln@{\sin@@{x}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < x, x < \pi} | int(cot(x), x) = ln(sin(x)) |
Integrate[Cot[x], x, GenerateConditions->None] == Log[Sin[x]] |
Successful | Successful | - | Successful [Tested: 3] |
| 4.26.E7 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int e^{ax}\sin@{bx}\diff{x} = \frac{e^{ax}}{a^{2}+b^{2}}(a\sin@{bx}-b\cos@{bx})}
\int e^{ax}\sin@{bx}\diff{x} = \frac{e^{ax}}{a^{2}+b^{2}}(a\sin@{bx}-b\cos@{bx}) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | int(exp(a*x)*sin(b*x), x) = (exp(a*x))/((a)^(2)+ (b)^(2))*(a*sin(b*x)- b*cos(b*x)) |
Integrate[Exp[a*x]*Sin[b*x], x, GenerateConditions->None] == Divide[Exp[a*x],(a)^(2)+ (b)^(2)]*(a*Sin[b*x]- b*Cos[b*x]) |
Successful | Successful | - | Successful [Tested: 108] |
| 4.26.E8 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int e^{ax}\cos@{bx}\diff{x} = \frac{e^{ax}}{a^{2}+b^{2}}(a\cos@{bx}+b\sin@{bx})}
\int e^{ax}\cos@{bx}\diff{x} = \frac{e^{ax}}{a^{2}+b^{2}}(a\cos@{bx}+b\sin@{bx}) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | int(exp(a*x)*cos(b*x), x) = (exp(a*x))/((a)^(2)+ (b)^(2))*(a*cos(b*x)+ b*sin(b*x)) |
Integrate[Exp[a*x]*Cos[b*x], x, GenerateConditions->None] == Divide[Exp[a*x],(a)^(2)+ (b)^(2)]*(a*Cos[b*x]+ b*Sin[b*x]) |
Successful | Successful | - | Successful [Tested: 108] |
| 4.26.E9 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\pi}\sin@{mt}\sin@{nt}\diff{t} = 0}
\int_{0}^{\pi}\sin@{mt}\sin@{nt}\diff{t} = 0 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m \neq n} | int(sin(m*t)*sin(n*t), t = 0..Pi) = 0 |
Integrate[Sin[m*t]*Sin[n*t], {t, 0, Pi}, GenerateConditions->None] == 0 |
Successful | Failure | - | Successful [Tested: 6] |
| 4.26.E10 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\pi}\cos@{mt}\cos@{nt}\diff{t} = 0}
\int_{0}^{\pi}\cos@{mt}\cos@{nt}\diff{t} = 0 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m \neq n} | int(cos(m*t)*cos(n*t), t = 0..Pi) = 0 |
Integrate[Cos[m*t]*Cos[n*t], {t, 0, Pi}, GenerateConditions->None] == 0 |
Successful | Failure | - | Successful [Tested: 6] |
| 4.26.E11 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\pi}\sin^{2}@{nt}\diff{t} = \int_{0}^{\pi}\cos^{2}@{nt}\diff{t}}
\int_{0}^{\pi}\sin^{2}@{nt}\diff{t} = \int_{0}^{\pi}\cos^{2}@{nt}\diff{t} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n \neq 0} | int((sin(n*t))^(2), t = 0..Pi) = int((cos(n*t))^(2), t = 0..Pi) |
Integrate[(Sin[n*t])^(2), {t, 0, Pi}, GenerateConditions->None] == Integrate[(Cos[n*t])^(2), {t, 0, Pi}, GenerateConditions->None] |
Successful | Failure | - | Successful [Tested: 3] |
| 4.26.E11 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\pi}\cos^{2}@{nt}\diff{t} = \tfrac{1}{2}\pi}
\int_{0}^{\pi}\cos^{2}@{nt}\diff{t} = \tfrac{1}{2}\pi |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n \neq 0} | int((cos(n*t))^(2), t = 0..Pi) = (1)/(2)*Pi |
Integrate[(Cos[n*t])^(2), {t, 0, Pi}, GenerateConditions->None] == Divide[1,2]*Pi |
Successful | Failure | - | Successful [Tested: 3] |
| 4.26.E13 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}\sin@{t^{2}}\diff{t} = \int_{0}^{\infty}\cos@{t^{2}}\diff{t}}
\int_{0}^{\infty}\sin@{t^{2}}\diff{t} = \int_{0}^{\infty}\cos@{t^{2}}\diff{t} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | int(sin((t)^(2)), t = 0..infinity) = int(cos((t)^(2)), t = 0..infinity) |
Integrate[Sin[(t)^(2)], {t, 0, Infinity}, GenerateConditions->None] == Integrate[Cos[(t)^(2)], {t, 0, Infinity}, GenerateConditions->None] |
Successful | Successful | - | Successful [Tested: 1] |
| 4.26.E13 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}\cos@{t^{2}}\diff{t} = \frac{1}{2}\sqrt{\frac{\pi}{2}}}
\int_{0}^{\infty}\cos@{t^{2}}\diff{t} = \frac{1}{2}\sqrt{\frac{\pi}{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | int(cos((t)^(2)), t = 0..infinity) = (1)/(2)*sqrt((Pi)/(2)) |
Integrate[Cos[(t)^(2)], {t, 0, Infinity}, GenerateConditions->None] == Divide[1,2]*Sqrt[Divide[Pi,2]] |
Successful | Successful | - | Successful [Tested: 1] |
| 4.26.E14 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\asin@@{x}\diff{x} = x\asin@@{x}+(1-x^{2})^{1/2}}
\int\asin@@{x}\diff{x} = x\asin@@{x}+(1-x^{2})^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 < x, x < 1} | int(arcsin(x), x) = x*arcsin(x)+(1 - (x)^(2))^(1/2) |
Integrate[ArcSin[x], x, GenerateConditions->None] == x*ArcSin[x]+(1 - (x)^(2))^(1/2) |
Successful | Successful | - | Successful [Tested: 1] |
| 4.26.E15 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\acos@@{x}\diff{x} = x\acos@@{x}-(1-x^{2})^{1/2}}
\int\acos@@{x}\diff{x} = x\acos@@{x}-(1-x^{2})^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 < x, x < 1} | int(arccos(x), x) = x*arccos(x)-(1 - (x)^(2))^(1/2) |
Integrate[ArcCos[x], x, GenerateConditions->None] == x*ArcCos[x]-(1 - (x)^(2))^(1/2) |
Successful | Successful | - | Successful [Tested: 1] |
| 4.26.E16 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\atan@@{x}\diff{x} = x\atan@@{x}-\tfrac{1}{2}\ln@{1+x^{2}}}
\int\atan@@{x}\diff{x} = x\atan@@{x}-\tfrac{1}{2}\ln@{1+x^{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < \infty} | int(arctan(x), x) = x*arctan(x)-(1)/(2)*ln(1 + (x)^(2)) |
Integrate[ArcTan[x], x, GenerateConditions->None] == x*ArcTan[x]-Divide[1,2]*Log[1 + (x)^(2)] |
Successful | Successful | - | Successful [Tested: 3] |
| 4.26.E17 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\acsc@@{x}\diff{x} = x\acsc@@{x}+\ln@{x+(x^{2}-1)^{1/2}}}
\int\acsc@@{x}\diff{x} = x\acsc@@{x}+\ln@{x+(x^{2}-1)^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 1 < x, x < \infty} | int(arccsc(x), x) = x*arccsc(x)+ ln(x +((x)^(2)- 1)^(1/2)) |
Integrate[ArcCsc[x], x, GenerateConditions->None] == x*ArcCsc[x]+ Log[x +((x)^(2)- 1)^(1/2)] |
Successful | Failure | - | Failed [2 / 2]
Result: Complex[-1.1102230246251565*^-16, -1.5707963267948966]
Test Values: {Rule[x, 1.5]}Result: Complex[-4.440892098500626*^-16, -1.5707963267948966]
Test Values: {Rule[x, 2]} |
| 4.26.E18 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\asec@@{x}\diff{x} = x\asec@@{x}-\ln@{x+(x^{2}-1)^{1/2}}}
\int\asec@@{x}\diff{x} = x\asec@@{x}-\ln@{x+(x^{2}-1)^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 1 < x, x < \infty} | int(arcsec(x), x) = x*arcsec(x)- ln(x +((x)^(2)- 1)^(1/2)) |
Integrate[ArcSec[x], x, GenerateConditions->None] == x*ArcSec[x]- Log[x +((x)^(2)- 1)^(1/2)] |
Successful | Failure | - | Failed [2 / 2]
Result: Complex[1.1102230246251565*^-16, 1.5707963267948966]
Test Values: {Rule[x, 1.5]}Result: Complex[4.440892098500626*^-16, 1.5707963267948966]
Test Values: {Rule[x, 2]} |
| 4.26.E19 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\acot@@{x}\diff{x} = x\acot@@{x}+\tfrac{1}{2}\ln@{1+x^{2}}}
\int\acot@@{x}\diff{x} = x\acot@@{x}+\tfrac{1}{2}\ln@{1+x^{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < x, x < \infty} | int(arccot(x), x) = x*arccot(x)+(1)/(2)*ln(1 + (x)^(2)) |
Integrate[ArcCot[x], x, GenerateConditions->None] == x*ArcCot[x]+Divide[1,2]*Log[1 + (x)^(2)] |
Successful | Successful | - | Successful [Tested: 3] |
| 4.26.E20 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int x\asin@@{x}\diff{x} = \left(\frac{x^{2}}{2}-\frac{1}{4}\right)\asin@@{x}+\frac{x}{4}(1-x^{2})^{1/2}}
\int x\asin@@{x}\diff{x} = \left(\frac{x^{2}}{2}-\frac{1}{4}\right)\asin@@{x}+\frac{x}{4}(1-x^{2})^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 < x, x < 1} | int(x*arcsin(x), x) = (((x)^(2))/(2)-(1)/(4))*arcsin(x)+(x)/(4)*(1 - (x)^(2))^(1/2) |
Integrate[x*ArcSin[x], x, GenerateConditions->None] == (Divide[(x)^(2),2]-Divide[1,4])*ArcSin[x]+Divide[x,4]*(1 - (x)^(2))^(1/2) |
Successful | Successful | - | Successful [Tested: 1] |
| 4.26.E21 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int x\acos@@{x}\diff{x} = \left(\frac{x^{2}}{2}-\frac{1}{4}\right)\acos@@{x}-\frac{x}{4}(1-x^{2})^{1/2}}
\int x\acos@@{x}\diff{x} = \left(\frac{x^{2}}{2}-\frac{1}{4}\right)\acos@@{x}-\frac{x}{4}(1-x^{2})^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 < x, x < 1} | int(x*arccos(x), x) = (((x)^(2))/(2)-(1)/(4))*arccos(x)-(x)/(4)*(1 - (x)^(2))^(1/2) |
Integrate[x*ArcCos[x], x, GenerateConditions->None] == (Divide[(x)^(2),2]-Divide[1,4])*ArcCos[x]-Divide[x,4]*(1 - (x)^(2))^(1/2) |
Failure | Failure | Failed [1 / 1] Result: .3926990817
Test Values: {x = .5} |
Failed [1 / 1]
Result: 0.3926990816987242
Test Values: {Rule[x, 0.5]} |
| 4.28.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@@{z} = \frac{e^{z}-e^{-z}}{2}}
\sinh@@{z} = \frac{e^{z}-e^{-z}}{2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sinh(z) = (exp(z)- exp(- z))/(2) |
Sinh[z] == Divide[Exp[z]- Exp[- z],2] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.28.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{z} = \frac{e^{z}+e^{-z}}{2}}
\cosh@@{z} = \frac{e^{z}+e^{-z}}{2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(z) = (exp(z)+ exp(- z))/(2) |
Cosh[z] == Divide[Exp[z]+ Exp[- z],2] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.28.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{z}+\sinh@@{z} = e^{+ z}}
\cosh@@{z}+\sinh@@{z} = e^{+ z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(z)+ sinh(z) = exp(+ z) |
Cosh[z]+ Sinh[z] == Exp[+ z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.28.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{z}-\sinh@@{z} = e^{- z}}
\cosh@@{z}-\sinh@@{z} = e^{- z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(z)- sinh(z) = exp(- z) |
Cosh[z]- Sinh[z] == Exp[- z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.28.E4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@@{z} = \frac{\sinh@@{z}}{\cosh@@{z}}}
\tanh@@{z} = \frac{\sinh@@{z}}{\cosh@@{z}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | tanh(z) = (sinh(z))/(cosh(z)) |
Tanh[z] == Divide[Sinh[z],Cosh[z]] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.28.E5 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \csch@@{z} = \frac{1}{\sinh@@{z}}}
\csch@@{z} = \frac{1}{\sinh@@{z}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | csch(z) = (1)/(sinh(z)) |
Csch[z] == Divide[1,Sinh[z]] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.28.E6 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sech@@{z} = \frac{1}{\cosh@@{z}}}
\sech@@{z} = \frac{1}{\cosh@@{z}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sech(z) = (1)/(cosh(z)) |
Sech[z] == Divide[1,Cosh[z]] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.28.E7 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \coth@@{z} = \frac{1}{\tanh@@{z}}}
\coth@@{z} = \frac{1}{\tanh@@{z}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | coth(z) = (1)/(tanh(z)) |
Coth[z] == Divide[1,Tanh[z]] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.28.E8 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@{iz} = i\sinh@@{z}}
\sin@{iz} = i\sinh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sin(I*z) = I*sinh(z) |
Sin[I*z] == I*Sinh[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.28.E9 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@{iz} = \cosh@@{z}}
\cos@{iz} = \cosh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cos(I*z) = cosh(z) |
Cos[I*z] == Cosh[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.28.E10 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tan@{iz} = i\tanh@@{z}}
\tan@{iz} = i\tanh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | tan(I*z) = I*tanh(z) |
Tan[I*z] == I*Tanh[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.28.E11 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \csc@{iz} = -i\csch@@{z}}
\csc@{iz} = -i\csch@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | csc(I*z) = - I*csch(z) |
Csc[I*z] == - I*Csch[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.28.E12 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sec@{iz} = \sech@@{z}}
\sec@{iz} = \sech@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sec(I*z) = sech(z) |
Sec[I*z] == Sech[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.28.E13 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cot@{iz} = -i\coth@@{z}}
\cot@{iz} = -i\coth@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cot(I*z) = - I*coth(z) |
Cot[I*z] == - I*Coth[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.31.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{z\to 0}\frac{\sinh@@{z}}{z} = 1}
\lim_{z\to 0}\frac{\sinh@@{z}}{z} = 1 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | limit((sinh(z))/(z), z = 0) = 1 |
Limit[Divide[Sinh[z],z], z -> 0, GenerateConditions->None] == 1 |
Successful | Successful | - | Successful [Tested: 1] |
| 4.31.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{z\to 0}\frac{\tanh@@{z}}{z} = 1}
\lim_{z\to 0}\frac{\tanh@@{z}}{z} = 1 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | limit((tanh(z))/(z), z = 0) = 1 |
Limit[Divide[Tanh[z],z], z -> 0, GenerateConditions->None] == 1 |
Successful | Successful | - | Successful [Tested: 1] |
| 4.31.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{z\to 0}\frac{\cosh@@{z}-1}{z^{2}} = \frac{1}{2}}
\lim_{z\to 0}\frac{\cosh@@{z}-1}{z^{2}} = \frac{1}{2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | limit((cosh(z)- 1)/((z)^(2)), z = 0) = (1)/(2) |
Limit[Divide[Cosh[z]- 1,(z)^(2)], z -> 0, GenerateConditions->None] == Divide[1,2] |
Successful | Successful | - | Successful [Tested: 1] |
| 4.32.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{x} \leq \left(\frac{\sinh@@{x}}{x}\right)^{3}}
\cosh@@{x} \leq \left(\frac{\sinh@@{x}}{x}\right)^{3} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(x) <= ((sinh(x))/(x))^(3) |
Cosh[x] <= (Divide[Sinh[x],x])^(3) |
Failure | Failure | Successful [Tested: 3] | Successful [Tested: 3] |
| 4.32.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{x}\cos@@{x} < \tanh@@{x}}
\sin@@{x}\cos@@{x} < \tanh@@{x} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x > 0} | sin(x)*cos(x) < tanh(x) |
Sin[x]*Cos[x] < Tanh[x] |
Failure | Failure | Successful [Tested: 3] | Successful [Tested: 3] |
| 4.32.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@@{x} < x}
\tanh@@{x} < x |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x > 0} | tanh(x) < x |
Tanh[x] < x |
Failure | Failure | Successful [Tested: 3] | Successful [Tested: 3] |
| 4.32.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\cosh@@{x}-\cosh@@{y}| \geq |x-y|\sqrt{\sinh@@{x}\sinh@@{y}}}
|\cosh@@{x}-\cosh@@{y}| \geq |x-y|\sqrt{\sinh@@{x}\sinh@@{y}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x > 0, y > 0} | abs(cosh(x)- cosh(y)) >= abs(x - y)*sqrt(sinh(x)*sinh(y)) |
Abs[Cosh[x]- Cosh[y]] >= Abs[x - y]*Sqrt[Sinh[x]*Sinh[y]] |
Failure | Failure | Successful [Tested: 9] | Successful [Tested: 9] |
| 4.32.E4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atan@@{x} \leq \tfrac{1}{2}\pi\tanh@@{x}}
\atan@@{x} \leq \tfrac{1}{2}\pi\tanh@@{x} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x \geq 0} | arctan(x) <= (1)/(2)*Pi*tanh(x) |
ArcTan[x] <= Divide[1,2]*Pi*Tanh[x] |
Failure | Failure | Successful [Tested: 3] | Successful [Tested: 3] |
| 4.34.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\sinh@@{z} = \cosh@@{z}}
\deriv{}{z}\sinh@@{z} = \cosh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(sinh(z), z) = cosh(z) |
D[Sinh[z], z] == Cosh[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.34.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\cosh@@{z} = \sinh@@{z}}
\deriv{}{z}\cosh@@{z} = \sinh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(cosh(z), z) = sinh(z) |
D[Cosh[z], z] == Sinh[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.34.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\tanh@@{z} = \sech^{2}@@{z}}
\deriv{}{z}\tanh@@{z} = \sech^{2}@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(tanh(z), z) = (sech(z))^(2) |
D[Tanh[z], z] == (Sech[z])^(2) |
Successful | Successful | - | Successful [Tested: 7] |
| 4.34.E4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\csch@@{z} = -\csch@@{z}\coth@@{z}}
\deriv{}{z}\csch@@{z} = -\csch@@{z}\coth@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(csch(z), z) = - csch(z)*coth(z) |
D[Csch[z], z] == - Csch[z]*Coth[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.34.E5 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\sech@@{z} = -\sech@@{z}\tanh@@{z}}
\deriv{}{z}\sech@@{z} = -\sech@@{z}\tanh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(sech(z), z) = - sech(z)*tanh(z) |
D[Sech[z], z] == - Sech[z]*Tanh[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.34.E6 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\coth@@{z} = -\csch^{2}@@{z}}
\deriv{}{z}\coth@@{z} = -\csch^{2}@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(coth(z), z) = - (csch(z))^(2) |
D[Coth[z], z] == - (Csch[z])^(2) |
Successful | Successful | - | Successful [Tested: 7] |
| 4.34.E7 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[2]{w}{z}-a^{2}w = 0}
\deriv[2]{w}{z}-a^{2}w = 0 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(w, [z$(2)])- (a)^(2)* w = 0 |
D[w, {z, 2}]- (a)^(2)* w == 0 |
Failure | Failure | Failed [300 / 300] Result: -1.948557159-1.125000000*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}Result: -1.948557159-1.125000000*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}Result: -1.948557159-1.125000000*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}Result: -1.948557159-1.125000000*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[-1.948557158514987, -1.1249999999999998]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[-1.948557158514987, -1.1249999999999998]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.34.E8 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \left(\deriv{w}{z}\right)^{2}-a^{2}w^{2} = 1}
\left(\deriv{w}{z}\right)^{2}-a^{2}w^{2} = 1 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (diff(w, z))^(2)- (a)^(2)* (w)^(2) = 1 |
(D[w, z])^(2)- (a)^(2)* (w)^(2) == 1 |
Failure | Failure | Failed [300 / 300] Result: -2.125000001-1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}Result: -2.125000001-1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}Result: -2.125000001-1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}Result: -2.125000001-1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[-2.125, -1.9485571585149868]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[-2.125, -1.9485571585149868]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.34.E9 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \left(\deriv{w}{z}\right)^{2}-a^{2}w^{2} = -1}
\left(\deriv{w}{z}\right)^{2}-a^{2}w^{2} = -1 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (diff(w, z))^(2)- (a)^(2)* (w)^(2) = - 1 |
(D[w, z])^(2)- (a)^(2)* (w)^(2) == - 1 |
Failure | Failure | Failed [272 / 300] Result: -.125000001-1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}Result: -.125000001-1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}Result: -.125000001-1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}Result: -.125000001-1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}... skip entries to safe data |
Failed [272 / 300]
Result: Complex[-0.12500000000000022, -1.9485571585149868]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[-0.12500000000000022, -1.9485571585149868]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.34.E10 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{w}{z}+a^{2}w^{2} = 1}
\deriv{w}{z}+a^{2}w^{2} = 1 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(w, z)+ (a)^(2)* (w)^(2) = 1 |
D[w, z]+ (a)^(2)* (w)^(2) == 1 |
Failure | Failure | Failed [272 / 300] Result: .125000001+1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}Result: .125000001+1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}Result: .125000001+1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}Result: .125000001+1.948557159*I
Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}... skip entries to safe data |
Failed [272 / 300]
Result: Complex[0.12500000000000022, 1.9485571585149868]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[0.12500000000000022, 1.9485571585149868]
Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.34.E11 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = A\cosh@{az}+B\sinh@{az}}
w = A\cosh@{az}+B\sinh@{az} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | w = A*cosh(a*z)+ B*sinh(a*z) |
w == A*Cosh[a*z]+ B*Sinh[a*z] |
Failure | Failure | Failed [300 / 300] Result: .6001928989+.561234643*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}Result: -.6457530113+1.981963256*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}Result: .9837329493+.425340516e-1*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}Result: -.2074648399-3.005064943*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[0.6001928983405861, 0.5612346426489729]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[-0.645753012062901, 1.9819632558589868]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.34.E12 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = (1/a)\sinh@{az+c}}
w = (1/a)\sinh@{az+c} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | w = (1/a)*sinh(a*z + c) |
w == (1/a)*Sinh[a*z + c] |
Failure | Failure | Failed [300 / 300] Result: -3.126061208-3.246674013*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}Result: .7188715257-.3314459800*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}Result: .265391293e-1+3.580357057*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}Result: .7673365303+.9636329126*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[-3.126061206522873, -3.246674011194613]
Test Values: {Rule[a, -1.5], Rule[c, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[0.7188715253469982, -0.33144598009263954]
Test Values: {Rule[a, -1.5], Rule[c, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.34.E13 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = (1/a)\cosh@{az+c}}
w = (1/a)\cosh@{az+c} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | w = (1/a)*cosh(a*z + c) |
w == (1/a)*Cosh[a*z + c] |
Failure | Failure | Failed [300 / 300] Result: 4.887803259+4.219013756*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}Result: 1.097709449+1.028092043*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}Result: 1.724372908-2.512669644*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}Result: 1.363701096+.4080617947*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[4.887803257491119, 4.219013753952423]
Test Values: {Rule[a, -1.5], Rule[c, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[1.0977094487385304, 1.0280920432224616]
Test Values: {Rule[a, -1.5], Rule[c, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.34.E14 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = (1/a)\coth@{az+c}}
w = (1/a)\coth@{az+c} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | w = (1/a)*coth(a*z + c) |
w == (1/a)*Coth[a*z + c] |
Failure | Failure | Failed [300 / 300] Result: .1990274306+.5049301211*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}Result: .4235738270+.6074604561*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}Result: .2119596261+.4924838498*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}Result: .5938323036-.1576784256*I
Test Values: {a = -1.5, c = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[0.19902743024251868, 0.504930121080845]
Test Values: {Rule[a, -1.5], Rule[c, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[0.423573826800421, 0.6074604562830159]
Test Values: {Rule[a, -1.5], Rule[c, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.35.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@{u+ v} = \sinh@@{u}\cosh@@{v}+\cosh@@{u}\sinh@@{v}}
\sinh@{u+ v} = \sinh@@{u}\cosh@@{v}+\cosh@@{u}\sinh@@{v} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sinh(u + v) = sinh(u)*cosh(v)+ cosh(u)*sinh(v) |
Sinh[u + v] == Sinh[u]*Cosh[v]+ Cosh[u]*Sinh[v] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@{u- v} = \sinh@@{u}\cosh@@{v}-\cosh@@{u}\sinh@@{v}}
\sinh@{u- v} = \sinh@@{u}\cosh@@{v}-\cosh@@{u}\sinh@@{v} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sinh(u - v) = sinh(u)*cosh(v)- cosh(u)*sinh(v) |
Sinh[u - v] == Sinh[u]*Cosh[v]- Cosh[u]*Sinh[v] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@{u+ v} = \cosh@@{u}\cosh@@{v}+\sinh@@{u}\sinh@@{v}}
\cosh@{u+ v} = \cosh@@{u}\cosh@@{v}+\sinh@@{u}\sinh@@{v} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(u + v) = cosh(u)*cosh(v)+ sinh(u)*sinh(v) |
Cosh[u + v] == Cosh[u]*Cosh[v]+ Sinh[u]*Sinh[v] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@{u- v} = \cosh@@{u}\cosh@@{v}-\sinh@@{u}\sinh@@{v}}
\cosh@{u- v} = \cosh@@{u}\cosh@@{v}-\sinh@@{u}\sinh@@{v} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(u - v) = cosh(u)*cosh(v)- sinh(u)*sinh(v) |
Cosh[u - v] == Cosh[u]*Cosh[v]- Sinh[u]*Sinh[v] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@{u+ v} = \frac{\tanh@@{u}+\tanh@@{v}}{1+\tanh@@{u}\tanh@@{v}}}
\tanh@{u+ v} = \frac{\tanh@@{u}+\tanh@@{v}}{1+\tanh@@{u}\tanh@@{v}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | tanh(u + v) = (tanh(u)+ tanh(v))/(1 + tanh(u)*tanh(v)) |
Tanh[u + v] == Divide[Tanh[u]+ Tanh[v],1 + Tanh[u]*Tanh[v]] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@{u- v} = \frac{\tanh@@{u}-\tanh@@{v}}{1-\tanh@@{u}\tanh@@{v}}}
\tanh@{u- v} = \frac{\tanh@@{u}-\tanh@@{v}}{1-\tanh@@{u}\tanh@@{v}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | tanh(u - v) = (tanh(u)- tanh(v))/(1 - tanh(u)*tanh(v)) |
Tanh[u - v] == Divide[Tanh[u]- Tanh[v],1 - Tanh[u]*Tanh[v]] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \coth@{u+ v} = \frac{+\coth@@{u}\coth@@{v}+1}{\coth@@{u}+\coth@@{v}}}
\coth@{u+ v} = \frac{+\coth@@{u}\coth@@{v}+1}{\coth@@{u}+\coth@@{v}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | coth(u + v) = (+ coth(u)*coth(v)+ 1)/(coth(u)+ coth(v)) |
Coth[u + v] == Divide[+ Coth[u]*Coth[v]+ 1,Coth[u]+ Coth[v]] |
Successful | Successful | - | Failed [10 / 100]
Result: Indeterminate
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}Result: Complex[4.333014420201075*^14, -2.3525621062227262*^14]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}... skip entries to safe data |
| 4.35.E4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \coth@{u- v} = \frac{-\coth@@{u}\coth@@{v}+1}{\coth@@{u}-\coth@@{v}}}
\coth@{u- v} = \frac{-\coth@@{u}\coth@@{v}+1}{\coth@@{u}-\coth@@{v}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | coth(u - v) = (- coth(u)*coth(v)+ 1)/(coth(u)- coth(v)) |
Coth[u - v] == Divide[- Coth[u]*Coth[v]+ 1,Coth[u]- Coth[v]] |
Successful | Successful | - | Failed [10 / 100]
Result: Indeterminate
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Indeterminate
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.35.E5 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@@{u}+\sinh@@{v} = 2\sinh@{\frac{u+v}{2}}\cosh@{\frac{u-v}{2}}}
\sinh@@{u}+\sinh@@{v} = 2\sinh@{\frac{u+v}{2}}\cosh@{\frac{u-v}{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sinh(u)+ sinh(v) = 2*sinh((u + v)/(2))*cosh((u - v)/(2)) |
Sinh[u]+ Sinh[v] == 2*Sinh[Divide[u + v,2]]*Cosh[Divide[u - v,2]] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E6 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@@{u}-\sinh@@{v} = 2\cosh@{\frac{u+v}{2}}\sinh@{\frac{u-v}{2}}}
\sinh@@{u}-\sinh@@{v} = 2\cosh@{\frac{u+v}{2}}\sinh@{\frac{u-v}{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sinh(u)- sinh(v) = 2*cosh((u + v)/(2))*sinh((u - v)/(2)) |
Sinh[u]- Sinh[v] == 2*Cosh[Divide[u + v,2]]*Sinh[Divide[u - v,2]] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E7 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{u}+\cosh@@{v} = 2\cosh@{\frac{u+v}{2}}\cosh@{\frac{u-v}{2}}}
\cosh@@{u}+\cosh@@{v} = 2\cosh@{\frac{u+v}{2}}\cosh@{\frac{u-v}{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(u)+ cosh(v) = 2*cosh((u + v)/(2))*cosh((u - v)/(2)) |
Cosh[u]+ Cosh[v] == 2*Cosh[Divide[u + v,2]]*Cosh[Divide[u - v,2]] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E8 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{u}-\cosh@@{v} = 2\sinh@{\frac{u+v}{2}}\sinh@{\frac{u-v}{2}}}
\cosh@@{u}-\cosh@@{v} = 2\sinh@{\frac{u+v}{2}}\sinh@{\frac{u-v}{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(u)- cosh(v) = 2*sinh((u + v)/(2))*sinh((u - v)/(2)) |
Cosh[u]- Cosh[v] == 2*Sinh[Divide[u + v,2]]*Sinh[Divide[u - v,2]] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E9 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@@{u}+\tanh@@{v} = \frac{\sinh@{u+ v}}{\cosh@@{u}\cosh@@{v}}}
\tanh@@{u}+\tanh@@{v} = \frac{\sinh@{u+ v}}{\cosh@@{u}\cosh@@{v}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | tanh(u)+ tanh(v) = (sinh(u + v))/(cosh(u)*cosh(v)) |
Tanh[u]+ Tanh[v] == Divide[Sinh[u + v],Cosh[u]*Cosh[v]] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E9 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@@{u}-\tanh@@{v} = \frac{\sinh@{u- v}}{\cosh@@{u}\cosh@@{v}}}
\tanh@@{u}-\tanh@@{v} = \frac{\sinh@{u- v}}{\cosh@@{u}\cosh@@{v}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | tanh(u)- tanh(v) = (sinh(u - v))/(cosh(u)*cosh(v)) |
Tanh[u]- Tanh[v] == Divide[Sinh[u - v],Cosh[u]*Cosh[v]] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E10 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \coth@@{u}+\coth@@{v} = \frac{\sinh@{v+ u}}{\sinh@@{u}\sinh@@{v}}}
\coth@@{u}+\coth@@{v} = \frac{\sinh@{v+ u}}{\sinh@@{u}\sinh@@{v}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | coth(u)+ coth(v) = (sinh(v + u))/(sinh(u)*sinh(v)) |
Coth[u]+ Coth[v] == Divide[Sinh[v + u],Sinh[u]*Sinh[v]] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E10 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \coth@@{u}-\coth@@{v} = \frac{\sinh@{v- u}}{\sinh@@{u}\sinh@@{v}}}
\coth@@{u}-\coth@@{v} = \frac{\sinh@{v- u}}{\sinh@@{u}\sinh@@{v}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | coth(u)- coth(v) = (sinh(v - u))/(sinh(u)*sinh(v)) |
Coth[u]- Coth[v] == Divide[Sinh[v - u],Sinh[u]*Sinh[v]] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E11 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh^{2}@@{z}-\sinh^{2}@@{z} = 1}
\cosh^{2}@@{z}-\sinh^{2}@@{z} = 1 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (cosh(z))^(2)- (sinh(z))^(2) = 1 |
(Cosh[z])^(2)- (Sinh[z])^(2) == 1 |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E12 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sech^{2}@@{z} = 1-\tanh^{2}@@{z}}
\sech^{2}@@{z} = 1-\tanh^{2}@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (sech(z))^(2) = 1 - (tanh(z))^(2) |
(Sech[z])^(2) == 1 - (Tanh[z])^(2) |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E13 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \csch^{2}@@{z} = \coth^{2}@@{z}-1}
\csch^{2}@@{z} = \coth^{2}@@{z}-1 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (csch(z))^(2) = (coth(z))^(2)- 1 |
(Csch[z])^(2) == (Coth[z])^(2)- 1 |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E14 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\sinh@@{u}\sinh@@{v} = \cosh@{u+v}-\cosh@{u-v}}
2\sinh@@{u}\sinh@@{v} = \cosh@{u+v}-\cosh@{u-v} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | 2*sinh(u)*sinh(v) = cosh(u + v)- cosh(u - v) |
2*Sinh[u]*Sinh[v] == Cosh[u + v]- Cosh[u - v] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E15 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\cosh@@{u}\cosh@@{v} = \cosh@{u+v}+\cosh@{u-v}}
2\cosh@@{u}\cosh@@{v} = \cosh@{u+v}+\cosh@{u-v} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | 2*cosh(u)*cosh(v) = cosh(u + v)+ cosh(u - v) |
2*Cosh[u]*Cosh[v] == Cosh[u + v]+ Cosh[u - v] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E16 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\sinh@@{u}\cosh@@{v} = \sinh@{u+v}+\sinh@{u-v}}
2\sinh@@{u}\cosh@@{v} = \sinh@{u+v}+\sinh@{u-v} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | 2*sinh(u)*cosh(v) = sinh(u + v)+ sinh(u - v) |
2*Sinh[u]*Cosh[v] == Sinh[u + v]+ Sinh[u - v] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E17 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh^{2}@@{u}-\sinh^{2}@@{v} = \sinh@{u+v}\sinh@{u-v}}
\sinh^{2}@@{u}-\sinh^{2}@@{v} = \sinh@{u+v}\sinh@{u-v} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (sinh(u))^(2)- (sinh(v))^(2) = sinh(u + v)*sinh(u - v) |
(Sinh[u])^(2)- (Sinh[v])^(2) == Sinh[u + v]*Sinh[u - v] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E18 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh^{2}@@{u}-\cosh^{2}@@{v} = \sinh@{u+v}\sinh@{u-v}}
\cosh^{2}@@{u}-\cosh^{2}@@{v} = \sinh@{u+v}\sinh@{u-v} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (cosh(u))^(2)- (cosh(v))^(2) = sinh(u + v)*sinh(u - v) |
(Cosh[u])^(2)- (Cosh[v])^(2) == Sinh[u + v]*Sinh[u - v] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E19 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh^{2}@@{u}+\cosh^{2}@@{v} = \cosh@{u+v}\cosh@{u-v}}
\sinh^{2}@@{u}+\cosh^{2}@@{v} = \cosh@{u+v}\cosh@{u-v} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (sinh(u))^(2)+ (cosh(v))^(2) = cosh(u + v)*cosh(u - v) |
(Sinh[u])^(2)+ (Cosh[v])^(2) == Cosh[u + v]*Cosh[u - v] |
Successful | Successful | - | Successful [Tested: 100] |
| 4.35.E20 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@@{\frac{z}{2}} = \left(\frac{\cosh@@{z}-1}{2}\right)^{1/2}}
\sinh@@{\frac{z}{2}} = \left(\frac{\cosh@@{z}-1}{2}\right)^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sinh((z)/(2)) = ((cosh(z)- 1)/(2))^(1/2) |
Sinh[Divide[z,2]] == (Divide[Cosh[z]- 1,2])^(1/2) |
Failure | Failure | Failed [2 / 7] Result: -.4585952894+.8655770340*I
Test Values: {z = -1/2+1/2*I*3^(1/2)}Result: -.8655716642-.5419255224*I
Test Values: {z = -1/2*3^(1/2)-1/2*I} |
Failed [2 / 7]
Result: Complex[-0.4585952893468803, 0.8655770337160631]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}Result: Complex[-0.8655716640572735, -0.5419255224573363]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]} |
| 4.35.E21 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{\frac{z}{2}} = \left(\frac{\cosh@@{z}+1}{2}\right)^{1/2}}
\cosh@@{\frac{z}{2}} = \left(\frac{\cosh@@{z}+1}{2}\right)^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh((z)/(2)) = ((cosh(z)+ 1)/(2))^(1/2) |
Cosh[Divide[z,2]] == (Divide[Cosh[z]+ 1,2])^(1/2) |
Failure | Failure | Successful [Tested: 7] | Successful [Tested: 7] |
| 4.35.E22 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@@{\frac{z}{2}} = \left(\frac{\cosh@@{z}-1}{\cosh@@{z}+1}\right)^{1/2}}
\tanh@@{\frac{z}{2}} = \left(\frac{\cosh@@{z}-1}{\cosh@@{z}+1}\right)^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | tanh((z)/(2)) = ((cosh(z)- 1)/(cosh(z)+ 1))^(1/2) |
Tanh[Divide[z,2]] == (Divide[Cosh[z]- 1,Cosh[z]+ 1])^(1/2) |
Failure | Failure | Failed [2 / 7] Result: -.5869891489+.8580864930*I
Test Values: {z = -1/2+1/2*I*3^(1/2)}Result: -.8595320616-.4211742148*I
Test Values: {z = -1/2*3^(1/2)-1/2*I} |
Failed [2 / 7]
Result: Complex[-0.5869891488727425, 0.858086492859854]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}Result: Complex[-0.8595320613685857, -0.42117421488499707]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]} |
| 4.35.E22 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \left(\frac{\cosh@@{z}-1}{\cosh@@{z}+1}\right)^{1/2} = \frac{\cosh@@{z}-1}{\sinh@@{z}}}
\left(\frac{\cosh@@{z}-1}{\cosh@@{z}+1}\right)^{1/2} = \frac{\cosh@@{z}-1}{\sinh@@{z}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | ((cosh(z)- 1)/(cosh(z)+ 1))^(1/2) = (cosh(z)- 1)/(sinh(z)) |
(Divide[Cosh[z]- 1,Cosh[z]+ 1])^(1/2) == Divide[Cosh[z]- 1,Sinh[z]] |
Failure | Failure | Failed [2 / 7] Result: .5869891489-.8580864930*I
Test Values: {z = -1/2+1/2*I*3^(1/2)}Result: .8595320615+.4211742148*I
Test Values: {z = -1/2*3^(1/2)-1/2*I} |
Failed [2 / 7]
Result: Complex[0.5869891488727426, -0.8580864928598539]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}Result: Complex[0.859532061368586, 0.42117421488499684]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]} |
| 4.35.E22 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{\cosh@@{z}-1}{\sinh@@{z}} = \frac{\sinh@@{z}}{\cosh@@{z}+1}}
\frac{\cosh@@{z}-1}{\sinh@@{z}} = \frac{\sinh@@{z}}{\cosh@@{z}+1} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (cosh(z)- 1)/(sinh(z)) = (sinh(z))/(cosh(z)+ 1) |
Divide[Cosh[z]- 1,Sinh[z]] == Divide[Sinh[z],Cosh[z]+ 1] |
Successful | Successful | Skip - symbolical successful subtest | Successful [Tested: 7] |
| 4.35.E23 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@{-z} = -\sinh@@{z}}
\sinh@{-z} = -\sinh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sinh(- z) = - sinh(z) |
Sinh[- z] == - Sinh[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E24 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@{-z} = \cosh@@{z}}
\cosh@{-z} = \cosh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(- z) = cosh(z) |
Cosh[- z] == Cosh[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E25 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@{-z} = -\tanh@@{z}}
\tanh@{-z} = -\tanh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | tanh(- z) = - tanh(z) |
Tanh[- z] == - Tanh[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E26 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@{2z} = 2\sinh@@{z}\cosh@@{z}}
\sinh@{2z} = 2\sinh@@{z}\cosh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sinh(2*z) = 2*sinh(z)*cosh(z) |
Sinh[2*z] == 2*Sinh[z]*Cosh[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E26 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\sinh@@{z}\cosh@@{z} = \frac{2\tanh@@{z}}{1-\tanh^{2}@@{z}}}
2\sinh@@{z}\cosh@@{z} = \frac{2\tanh@@{z}}{1-\tanh^{2}@@{z}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | 2*sinh(z)*cosh(z) = (2*tanh(z))/(1 - (tanh(z))^(2)) |
2*Sinh[z]*Cosh[z] == Divide[2*Tanh[z],1 - (Tanh[z])^(2)] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E27 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@{2z} = 2\cosh^{2}@@{z}-1}
\cosh@{2z} = 2\cosh^{2}@@{z}-1 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(2*z) = 2*(cosh(z))^(2)- 1 |
Cosh[2*z] == 2*(Cosh[z])^(2)- 1 |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E27 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\cosh^{2}@@{z}-1 = 2\sinh^{2}@@{z}+1\\}
2\cosh^{2}@@{z}-1 = 2\sinh^{2}@@{z}+1\\ |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | 2*(cosh(z))^(2)- 1 = 2*(sinh(z))^(2)+ 1 |
2*(Cosh[z])^(2)- 1 == 2*(Sinh[z])^(2)+ 1 |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E27 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\sinh^{2}@@{z}+1\\ = \cosh^{2}@@{z}+\sinh^{2}@@{z}}
2\sinh^{2}@@{z}+1\\ = \cosh^{2}@@{z}+\sinh^{2}@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | 2*(sinh(z))^(2)+ 1 = (cosh(z))^(2)+ (sinh(z))^(2) |
2*(Sinh[z])^(2)+ 1 == (Cosh[z])^(2)+ (Sinh[z])^(2) |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E28 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@{2z} = \frac{2\tanh@@{z}}{1+\tanh^{2}@@{z}}}
\tanh@{2z} = \frac{2\tanh@@{z}}{1+\tanh^{2}@@{z}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | tanh(2*z) = (2*tanh(z))/(1 + (tanh(z))^(2)) |
Tanh[2*z] == Divide[2*Tanh[z],1 + (Tanh[z])^(2)] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E29 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@{3z} = 3\sinh@@{z}+4\sinh^{3}@@{z}}
\sinh@{3z} = 3\sinh@@{z}+4\sinh^{3}@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sinh(3*z) = 3*sinh(z)+ 4*(sinh(z))^(3) |
Sinh[3*z] == 3*Sinh[z]+ 4*(Sinh[z])^(3) |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E30 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@{3z} = -3\cosh@@{z}+4\cosh^{3}@@{z}}
\cosh@{3z} = -3\cosh@@{z}+4\cosh^{3}@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(3*z) = - 3*cosh(z)+ 4*(cosh(z))^(3) |
Cosh[3*z] == - 3*Cosh[z]+ 4*(Cosh[z])^(3) |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E31 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@{4z} = 4\sinh^{3}@@{z}\cosh@@{z}+4\cosh^{3}@@{z}\sinh@@{z}}
\sinh@{4z} = 4\sinh^{3}@@{z}\cosh@@{z}+4\cosh^{3}@@{z}\sinh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sinh(4*z) = 4*(sinh(z))^(3)* cosh(z)+ 4*(cosh(z))^(3)* sinh(z) |
Sinh[4*z] == 4*(Sinh[z])^(3)* Cosh[z]+ 4*(Cosh[z])^(3)* Sinh[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E32 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@{4z} = \cosh^{4}@@{z}+6\sinh^{2}@@{z}\cosh^{2}@@{z}+\sinh^{4}@@{z}}
\cosh@{4z} = \cosh^{4}@@{z}+6\sinh^{2}@@{z}\cosh^{2}@@{z}+\sinh^{4}@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(4*z) = (cosh(z))^(4)+ 6*(sinh(z))^(2)* (cosh(z))^(2)+ (sinh(z))^(4) |
Cosh[4*z] == (Cosh[z])^(4)+ 6*(Sinh[z])^(2)* (Cosh[z])^(2)+ (Sinh[z])^(4) |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E33 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@{nz}+\sinh@{nz} = (\cosh@@{z}+\sinh@@{z})^{n}}
\cosh@{nz}+\sinh@{nz} = (\cosh@@{z}+\sinh@@{z})^{n} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(n*z)+ sinh(n*z) = (cosh(z)+ sinh(z))^(n) |
Cosh[n*z]+ Sinh[n*z] == (Cosh[z]+ Sinh[z])^(n) |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E33 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@{nz}-\sinh@{nz} = (\cosh@@{z}-\sinh@@{z})^{n}}
\cosh@{nz}-\sinh@{nz} = (\cosh@@{z}-\sinh@@{z})^{n} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(n*z)- sinh(n*z) = (cosh(z)- sinh(z))^(n) |
Cosh[n*z]- Sinh[n*z] == (Cosh[z]- Sinh[z])^(n) |
Successful | Successful | - | Successful [Tested: 7] |
| 4.35.E34 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@@{z} = \sinh@@{x}\cos@@{y}+i\cosh@@{x}\sin@@{y}}
\sinh@@{z} = \sinh@@{x}\cos@@{y}+i\cosh@@{x}\sin@@{y} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sinh(x + y*I) = sinh(x)*cos(y)+ I*cosh(x)*sin(y) |
Sinh[x + y*I] == Sinh[x]*Cos[y]+ I*Cosh[x]*Sin[y] |
Successful | Successful | - | Successful [Tested: 18] |
| 4.35.E35 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{z} = \cosh@@{x}\cos@@{y}+i\sinh@@{x}\sin@@{y}}
\cosh@@{z} = \cosh@@{x}\cos@@{y}+i\sinh@@{x}\sin@@{y} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(x + y*I) = cosh(x)*cos(y)+ I*sinh(x)*sin(y) |
Cosh[x + y*I] == Cosh[x]*Cos[y]+ I*Sinh[x]*Sin[y] |
Successful | Successful | - | Successful [Tested: 18] |
| 4.35.E36 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@@{z} = \frac{\sinh@{2x}+i\sin@{2y}}{\cosh@{2x}+\cos@{2y}}}
\tanh@@{z} = \frac{\sinh@{2x}+i\sin@{2y}}{\cosh@{2x}+\cos@{2y}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | tanh(x + y*I) = (sinh(2*x)+ I*sin(2*y))/(cosh(2*x)+ cos(2*y)) |
Tanh[x + y*I] == Divide[Sinh[2*x]+ I*Sin[2*y],Cosh[2*x]+ Cos[2*y]] |
Successful | Successful | - | Successful [Tested: 18] |
| 4.35.E37 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \coth@@{z} = \frac{\sinh@{2x}-i\sin@{2y}}{\cosh@{2x}-\cos@{2y}}}
\coth@@{z} = \frac{\sinh@{2x}-i\sin@{2y}}{\cosh@{2x}-\cos@{2y}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | coth(x + y*I) = (sinh(2*x)- I*sin(2*y))/(cosh(2*x)- cos(2*y)) |
Coth[x + y*I] == Divide[Sinh[2*x]- I*Sin[2*y],Cosh[2*x]- Cos[2*y]] |
Successful | Successful | - | Successful [Tested: 18] |
| 4.35.E38 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\sinh@@{z}| = (\sinh^{2}@@{x}+\sin^{2}@@{y})^{1/2}}
|\sinh@@{z}| = (\sinh^{2}@@{x}+\sin^{2}@@{y})^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | abs(sinh(x + y*I)) = ((sinh(x))^(2)+ (sin(y))^(2))^(1/2) |
Abs[Sinh[x + y*I]] == ((Sinh[x])^(2)+ (Sin[y])^(2))^(1/2) |
Successful | Failure | - | Successful [Tested: 18] |
| 4.35.E38 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (\sinh^{2}@@{x}+\sin^{2}@@{y})^{1/2} = \left(\tfrac{1}{2}(\cosh@{2x}-\cos@{2y})\right)^{1/2}}
(\sinh^{2}@@{x}+\sin^{2}@@{y})^{1/2} = \left(\tfrac{1}{2}(\cosh@{2x}-\cos@{2y})\right)^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | ((sinh(x))^(2)+ (sin(y))^(2))^(1/2) = ((1)/(2)*(cosh(2*x)- cos(2*y)))^(1/2) |
((Sinh[x])^(2)+ (Sin[y])^(2))^(1/2) == (Divide[1,2]*(Cosh[2*x]- Cos[2*y]))^(1/2) |
Successful | Successful | - | Successful [Tested: 18] |
| 4.35.E39 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\cosh@@{z}| = (\sinh^{2}@@{x}+\cos^{2}@@{y})^{1/2}}
|\cosh@@{z}| = (\sinh^{2}@@{x}+\cos^{2}@@{y})^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | abs(cosh(x + y*I)) = ((sinh(x))^(2)+ (cos(y))^(2))^(1/2) |
Abs[Cosh[x + y*I]] == ((Sinh[x])^(2)+ (Cos[y])^(2))^(1/2) |
Successful | Failure | - | Successful [Tested: 18] |
| 4.35.E39 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (\sinh^{2}@@{x}+\cos^{2}@@{y})^{1/2} = \left(\tfrac{1}{2}(\cosh@{2x}+\cos@{2y})\right)^{1/2}}
(\sinh^{2}@@{x}+\cos^{2}@@{y})^{1/2} = \left(\tfrac{1}{2}(\cosh@{2x}+\cos@{2y})\right)^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | ((sinh(x))^(2)+ (cos(y))^(2))^(1/2) = ((1)/(2)*(cosh(2*x)+ cos(2*y)))^(1/2) |
((Sinh[x])^(2)+ (Cos[y])^(2))^(1/2) == (Divide[1,2]*(Cosh[2*x]+ Cos[2*y]))^(1/2) |
Successful | Successful | - | Successful [Tested: 18] |
| 4.35.E40 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\tanh@@{z}| = \left(\frac{\cosh@{2x}-\cos@{2y}}{\cosh@{2x}+\cos@{2y}}\right)^{1/2}}
|\tanh@@{z}| = \left(\frac{\cosh@{2x}-\cos@{2y}}{\cosh@{2x}+\cos@{2y}}\right)^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | abs(tanh(x + y*I)) = ((cosh(2*x)- cos(2*y))/(cosh(2*x)+ cos(2*y)))^(1/2) |
Abs[Tanh[x + y*I]] == (Divide[Cosh[2*x]- Cos[2*y],Cosh[2*x]+ Cos[2*y]])^(1/2) |
Successful | Failure | - | Successful [Tested: 18] |
| 4.36.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@@{z} = z\prod_{n=1}^{\infty}\left(1+\frac{z^{2}}{n^{2}\pi^{2}}\right)}
\sinh@@{z} = z\prod_{n=1}^{\infty}\left(1+\frac{z^{2}}{n^{2}\pi^{2}}\right) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sinh(z) = z*product(1 +((z)^(2))/((n)^(2)* (Pi)^(2)), n = 1..infinity) |
Sinh[z] == z*Product[1 +Divide[(z)^(2),(n)^(2)* (Pi)^(2)], {n, 1, Infinity}, GenerateConditions->None] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.36.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{z} = \prod_{n=1}^{\infty}\left(1+\frac{4z^{2}}{(2n-1)^{2}\pi^{2}}\right)}
\cosh@@{z} = \prod_{n=1}^{\infty}\left(1+\frac{4z^{2}}{(2n-1)^{2}\pi^{2}}\right) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cosh(z) = product(1 +(4*(z)^(2))/((2*n - 1)^(2)* (Pi)^(2)), n = 1..infinity) |
Cosh[z] == Product[1 +Divide[4*(z)^(2),(2*n - 1)^(2)* (Pi)^(2)], {n, 1, Infinity}, GenerateConditions->None] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.36.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \coth@@{z} = \frac{1}{z}+2z\sum_{n=1}^{\infty}\frac{1}{z^{2}+n^{2}\pi^{2}}}
\coth@@{z} = \frac{1}{z}+2z\sum_{n=1}^{\infty}\frac{1}{z^{2}+n^{2}\pi^{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | coth(z) = (1)/(z)+ 2*z*sum((1)/((z)^(2)+ (n)^(2)* (Pi)^(2)), n = 1..infinity) |
Coth[z] == Divide[1,z]+ 2*z*Sum[Divide[1,(z)^(2)+ (n)^(2)* (Pi)^(2)], {n, 1, Infinity}, GenerateConditions->None] |
Failure | Successful | Successful [Tested: 7] | Successful [Tested: 7] |
| 4.36.E4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \csch^{2}@@{z} = \sum_{n=-\infty}^{\infty}\frac{1}{(z-n\pi i)^{2}}}
\csch^{2}@@{z} = \sum_{n=-\infty}^{\infty}\frac{1}{(z-n\pi i)^{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (csch(z))^(2) = sum((1)/((z - n*Pi*I)^(2)), n = - infinity..infinity) |
(Csch[z])^(2) == Sum[Divide[1,(z - n*Pi*I)^(2)], {n, - Infinity, Infinity}, GenerateConditions->None] |
Failure | Successful | Successful [Tested: 7] | Successful [Tested: 7] |
| 4.36.E5 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \csch@@{z} = \frac{1}{z}+2z\sum_{n=1}^{\infty}\frac{(-1)^{n}}{z^{2}+n^{2}\pi^{2}}}
\csch@@{z} = \frac{1}{z}+2z\sum_{n=1}^{\infty}\frac{(-1)^{n}}{z^{2}+n^{2}\pi^{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | csch(z) = (1)/(z)+ 2*z*sum(((- 1)^(n))/((z)^(2)+ (n)^(2)* (Pi)^(2)), n = 1..infinity) |
Csch[z] == Divide[1,z]+ 2*z*Sum[Divide[(- 1)^(n),(z)^(2)+ (n)^(2)* (Pi)^(2)], {n, 1, Infinity}, GenerateConditions->None] |
Failure | Successful | Successful [Tested: 7] | Successful [Tested: 7] |
| 4.37.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asinh@@{z} = \int_{0}^{z}\frac{\diff{t}}{(1+t^{2})^{1/2}}}
\Asinh@@{z} = \int_{0}^{z}\frac{\diff{t}}{(1+t^{2})^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcSinh[z] == Integrate[Divide[1,(1 + (t)^(2))^(1/2)], {t, 0, z}, GenerateConditions->None] |
Missing Macro Error | Successful | - | Successful [Tested: 7] |
| 4.37.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Acosh@@{z} = \int_{1}^{z}\frac{\diff{t}}{(t^{2}-1)^{1/2}}}
\Acosh@@{z} = \int_{1}^{z}\frac{\diff{t}}{(t^{2}-1)^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcCosh[z] == Integrate[Divide[1,((t)^(2)- 1)^(1/2)], {t, 1, z}, GenerateConditions->None] |
Missing Macro Error | Aborted | - | Skipped - Because timed out |
| 4.37.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atanh@@{z} = \int_{0}^{z}\frac{\diff{t}}{1-t^{2}}}
\Atanh@@{z} = \int_{0}^{z}\frac{\diff{t}}{1-t^{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcTanh[z] == Integrate[Divide[1,1 - (t)^(2)], {t, 0, z}, GenerateConditions->None] |
Missing Macro Error | Successful | - | Successful [Tested: 1] |
| 4.37.E4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Acsch@@{z} = \Asinh@{1/z}}
\Acsch@@{z} = \Asinh@{1/z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcCsch[z] == ArcSinh[1/z] |
Missing Macro Error | Successful | - | Successful [Tested: 7] |
| 4.37.E5 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asech@@{z} = \Acosh@{1/z}}
\Asech@@{z} = \Acosh@{1/z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcSech[z] == ArcCosh[1/z] |
Missing Macro Error | Successful | - | Successful [Tested: 7] |
| 4.37.E6 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Acoth@@{z} = \Atanh@{1/z}}
\Acoth@@{z} = \Atanh@{1/z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcCoth[z] == ArcTanh[1/z] |
Missing Macro Error | Successful | - | Successful [Tested: 7] |
| 4.37.E7 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acsch@@{z} = \asinh@{1/z}}
\acsch@@{z} = \asinh@{1/z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arccsch(z) = arcsinh(1/z) |
ArcCsch[z] == ArcSinh[1/z] |
Failure | Successful | Successful [Tested: 7] | Successful [Tested: 7] |
| 4.37.E8 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asech@@{z} = \acosh@{1/z}}
\asech@@{z} = \acosh@{1/z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arcsech(z) = arccosh(1/z) |
ArcSech[z] == ArcCosh[1/z] |
Failure | Successful | Successful [Tested: 7] | Successful [Tested: 7] |
| 4.37.E9 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acoth@@{z} = \atanh@{1/z}}
\acoth@@{z} = \atanh@{1/z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arccoth(z) = arctanh(1/z) |
ArcCoth[z] == ArcTanh[1/z] |
Failure | Successful | Successful [Tested: 7] | Successful [Tested: 1] |
| 4.37.E10 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asinh@{-z} = -\asinh@@{z}}
\asinh@{-z} = -\asinh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arcsinh(- z) = - arcsinh(z) |
ArcSinh[- z] == - ArcSinh[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.37.E11 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acosh@{-z} = +\pi i+\acosh@@{z}}
\acosh@{-z} = +\pi i+\acosh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arccosh(- z) = + Pi*I + arccosh(z) |
ArcCosh[- z] == + Pi*I + ArcCosh[z] |
Failure | Failure | Failed [3 / 7] Result: 0.-6.283185307*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, Im(z) = 1/2}Result: 0.-6.283185307*I
Test Values: {z = -1/2+1/2*I*3^(1/2), Im(z) = 1/2}Result: -2.094395103*I
Test Values: {z = .5, Im(z) = 1/2} |
Failed [1 / 1]
Result: Complex[0.0, -6.283185307179586]
Test Values: {Rule[z, Complex[0, Rational[1, 2]]]} |
| 4.37.E11 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acosh@{-z} = -\pi i+\acosh@@{z}}
\acosh@{-z} = -\pi i+\acosh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arccosh(- z) = - Pi*I + arccosh(z) |
ArcCosh[- z] == - Pi*I + ArcCosh[z] |
Failure | Failure | Failed [5 / 7] Result: 0.+6.283185307*I
Test Values: {z = 1/2-1/2*I*3^(1/2), Im(z) = 1/2}Result: 0.+6.283185307*I
Test Values: {z = -1/2*3^(1/2)-1/2*I, Im(z) = 1/2}Result: 0.+6.283185308*I
Test Values: {z = 1.5, Im(z) = 1/2}Result: 4.188790205*I
Test Values: {z = .5, Im(z) = 1/2}... skip entries to safe data |
Successful [Tested: 1] |
| 4.37.E12 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atanh@{-z} = -\atanh@@{z}}
\atanh@{-z} = -\atanh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arctanh(- z) = - arctanh(z) |
ArcTanh[- z] == - ArcTanh[z] |
Successful | Successful | - | Successful [Tested: 1] |
| 4.37.E13 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acsch@{-z} = -\acsch@@{z}}
\acsch@{-z} = -\acsch@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arccsch(- z) = - arccsch(z) |
ArcCsch[- z] == - ArcCsch[z] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.37.E14 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asech@{-z} = -\pi i+\asech@@{z}}
\asech@{-z} = -\pi i+\asech@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arcsech(- z) = - Pi*I + arcsech(z) |
ArcSech[- z] == - Pi*I + ArcSech[z] |
Failure | Failure | Failed [5 / 7] Result: 0.+6.283185307*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, Im(z) = 1/2}Result: 0.+6.283185307*I
Test Values: {z = -1/2+1/2*I*3^(1/2), Im(z) = 1/2}Result: 4.601047966*I
Test Values: {z = 1.5, Im(z) = 1/2}Result: 0.+6.283185308*I
Test Values: {z = .5, Im(z) = 1/2}... skip entries to safe data |
Failed [1 / 1]
Result: Complex[0.0, 6.283185307179586]
Test Values: {Rule[z, Complex[0, Rational[1, 2]]]} |
| 4.37.E14 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asech@{-z} = +\pi i+\asech@@{z}}
\asech@{-z} = +\pi i+\asech@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arcsech(- z) = + Pi*I + arcsech(z) |
ArcSech[- z] == + Pi*I + ArcSech[z] |
Failure | Failure | Failed [4 / 7] Result: 0.-6.283185307*I
Test Values: {z = 1/2-1/2*I*3^(1/2), Im(z) = 1/2}Result: 0.-6.283185307*I
Test Values: {z = -1/2*3^(1/2)-1/2*I, Im(z) = 1/2}Result: -1.682137342*I
Test Values: {z = 1.5, Im(z) = 1/2}Result: -2.094395103*I
Test Values: {z = 2, Im(z) = 1/2} |
Successful [Tested: 1] |
| 4.37.E15 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acoth@{-z} = -\acoth@@{z}}
\acoth@{-z} = -\acoth@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arccoth(- z) = - arccoth(z) |
ArcCoth[- z] == - ArcCoth[z] |
Failure | Successful | Failed [1 / 7] Result: 0.-3.141592654*I
Test Values: {z = .5, z = 1/2} |
Successful [Tested: 1] |
| 4.37.E16 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asinh@@{z} = \ln@{(z^{2}+1)^{1/2}+z}}
\asinh@@{z} = \ln@{(z^{2}+1)^{1/2}+z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arcsinh(z) = ln(((z)^(2)+ 1)^(1/2)+ z) |
ArcSinh[z] == Log[((z)^(2)+ 1)^(1/2)+ z] |
Failure | Successful | Successful [Tested: 7] | Successful [Tested: 1] |
| 4.37.E17 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asinh@{iy} = \tfrac{1}{2}\pi i+\ln@{(y^{2}-1)^{1/2}+y}}
\asinh@{iy} = \tfrac{1}{2}\pi i+\ln@{(y^{2}-1)^{1/2}+y} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arcsinh(I*y) = (1)/(2)*Pi*I + ln(((y)^(2)- 1)^(1/2)+ y) |
ArcSinh[I*y] == Divide[1,2]*Pi*I + Log[((y)^(2)- 1)^(1/2)+ y] |
Failure | Successful | Failed [4 / 6] Result: .7e-9-6.283185308*I
Test Values: {y = -1.5, y = 3/2}Result: -.1347500000e-10-4.188790205*I
Test Values: {y = -.5, y = 3/2}Result: -.1347500000e-10-2.094395102*I
Test Values: {y = .5, y = 3/2}Result: .2e-8-6.283185308*I
Test Values: {y = -2, y = 3/2} |
Successful [Tested: 1] |
| 4.37.E17 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asinh@{iy} = \tfrac{1}{2}\pi i-\ln@{(y^{2}-1)^{1/2}+y}}
\asinh@{iy} = \tfrac{1}{2}\pi i-\ln@{(y^{2}-1)^{1/2}+y} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arcsinh(I*y) = (1)/(2)*Pi*I - ln(((y)^(2)- 1)^(1/2)+ y) |
ArcSinh[I*y] == Divide[1,2]*Pi*I - Log[((y)^(2)- 1)^(1/2)+ y] |
Failure | Failure | Failed [4 / 6] Result: -1.924847301+0.*I
Test Values: {y = -1.5, y = 3/2}Result: 1.924847300+0.*I
Test Values: {y = 1.5, y = 3/2}Result: -2.633915796+0.*I
Test Values: {y = -2, y = 3/2}Result: 2.633915794+0.*I
Test Values: {y = 2, y = 3/2} |
Failed [1 / 1]
Result: Complex[1.9248473002384139, 0.0]
Test Values: {Rule[y, Rational[3, 2]]} |
| 4.37.E18 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asinh@{iy} = -\tfrac{1}{2}\pi i+\ln@{(y^{2}-1)^{1/2}-y}}
\asinh@{iy} = -\tfrac{1}{2}\pi i+\ln@{(y^{2}-1)^{1/2}-y} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arcsinh(I*y) = -(1)/(2)*Pi*I + ln(((y)^(2)- 1)^(1/2)- y) |
ArcSinh[I*y] == -Divide[1,2]*Pi*I + Log[((y)^(2)- 1)^(1/2)- y] |
Failure | Failure | Failed [4 / 6] Result: -1.924847300+0.*I
Test Values: {y = -1.5, y = -2}Result: 1.924847301+0.*I
Test Values: {y = 1.5, y = -2}Result: -2.633915794+0.*I
Test Values: {y = -2, y = -2}Result: 2.633915796+0.*I
Test Values: {y = 2, y = -2} |
Failed [1 / 1]
Result: Complex[-2.633915793849633, 0.0]
Test Values: {Rule[y, -2]} |
| 4.37.E18 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asinh@{iy} = -\tfrac{1}{2}\pi i-\ln@{(y^{2}-1)^{1/2}-y}}
\asinh@{iy} = -\tfrac{1}{2}\pi i-\ln@{(y^{2}-1)^{1/2}-y} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arcsinh(I*y) = -(1)/(2)*Pi*I - ln(((y)^(2)- 1)^(1/2)- y) |
ArcSinh[I*y] == -Divide[1,2]*Pi*I - Log[((y)^(2)- 1)^(1/2)- y] |
Failure | Failure | Failed [4 / 6] Result: -.7e-9+6.283185308*I
Test Values: {y = 1.5, y = -2}Result: .1347500000e-10+2.094395102*I
Test Values: {y = -.5, y = -2}Result: .1347500000e-10+4.188790205*I
Test Values: {y = .5, y = -2}Result: -.2e-8+6.283185308*I
Test Values: {y = 2, y = -2} |
Successful [Tested: 1] |
| 4.37.E19 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acosh@@{z} = \ln@{+(z^{2}-1)^{1/2}+z}}
\acosh@@{z} = \ln@{+(z^{2}-1)^{1/2}+z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arccosh(z) = ln(+((z)^(2)- 1)^(1/2)+ z) |
ArcCosh[z] == Log[+((z)^(2)- 1)^(1/2)+ z] |
Failure | Failure | Failed [2 / 7] Result: 1.662885893+3.891061519*I
Test Values: {z = -1/2+1/2*I*3^(1/2), z = 3/2}Result: 1.316957897-4.712388980*I
Test Values: {z = -1/2*3^(1/2)-1/2*I, z = 3/2} |
Successful [Tested: 1] |
| 4.37.E19 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acosh@@{z} = \ln@{-(z^{2}-1)^{1/2}+z}}
\acosh@@{z} = \ln@{-(z^{2}-1)^{1/2}+z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arccosh(z) = ln(-((z)^(2)- 1)^(1/2)+ z) |
ArcCosh[z] == Log[-((z)^(2)- 1)^(1/2)+ z] |
Failure | Failure | Failed [5 / 7] Result: 1.316957897+1.570796326*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, z = 3/2}Result: 1.662885893-2.392123788*I
Test Values: {z = 1/2-1/2*I*3^(1/2), z = 3/2}Result: 1.924847301
Test Values: {z = 1.5, z = 3/2}Result: -.1347500000e-10+2.094395102*I
Test Values: {z = .5, z = 3/2}... skip entries to safe data |
Failed [1 / 1]
Result: 1.9248473002384139
Test Values: {Rule[z, Rational[3, 2]]} |
| 4.37.E20 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acosh@{\iunit y} = +\tfrac{1}{2}\pi\iunit+\ln@{(y^{2}+1)^{1/2}+ y}}
\acosh@{\iunit y} = +\tfrac{1}{2}\pi\iunit+\ln@{(y^{2}+1)^{1/2}+ y} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arccosh(I*y) = +(1)/(2)*Pi*I + ln(((y)^(2)+ 1)^(1/2)+ y) |
ArcCosh[I*y] == +Divide[1,2]*Pi*I + Log[((y)^(2)+ 1)^(1/2)+ y] |
Failure | Failure | Failed [3 / 6] Result: 2.389526433-3.141592654*I
Test Values: {y = -1.5, y = 1/2}Result: .9624236498-3.141592654*I
Test Values: {y = -.5, y = 1/2}Result: 2.887270952-3.141592654*I
Test Values: {y = -2, y = 1/2} |
Successful [Tested: 1] |
| 4.37.E20 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acosh@{\iunit y} = -\tfrac{1}{2}\pi\iunit+\ln@{(y^{2}+1)^{1/2}- y}}
\acosh@{\iunit y} = -\tfrac{1}{2}\pi\iunit+\ln@{(y^{2}+1)^{1/2}- y} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arccosh(I*y) = -(1)/(2)*Pi*I + ln(((y)^(2)+ 1)^(1/2)- y) |
ArcCosh[I*y] == -Divide[1,2]*Pi*I + Log[((y)^(2)+ 1)^(1/2)- y] |
Failure | Failure | Failed [3 / 6] Result: 2.389526433+3.141592654*I
Test Values: {y = 1.5, y = 1/2}Result: .9624236498+3.141592654*I
Test Values: {y = .5, y = 1/2}Result: 2.887270952+3.141592654*I
Test Values: {y = 2, y = 1/2} |
Failed [1 / 1]
Result: Complex[0.9624236501192068, 3.141592653589793]
Test Values: {Rule[y, Rational[1, 2]]} |
| 4.37.E21 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acosh@@{z} = 2\ln@{\left(\frac{z+1}{2}\right)^{1/2}+\left(\frac{z-1}{2}\right)^{1/2}}}
\acosh@@{z} = 2\ln@{\left(\frac{z+1}{2}\right)^{1/2}+\left(\frac{z-1}{2}\right)^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arccosh(z) = 2*ln(((z + 1)/(2))^(1/2)+((z - 1)/(2))^(1/2)) |
ArcCosh[z] == 2*Log[(Divide[z + 1,2])^(1/2)+(Divide[z - 1,2])^(1/2)] |
Failure | Failure | Successful [Tested: 7] | Successful [Tested: 1] |
| 4.37.E22 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acosh@@{x} = +\ln@{i(1-x^{2})^{1/2}+x}}
\acosh@@{x} = +\ln@{i(1-x^{2})^{1/2}+x} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arccosh(x) = + ln(I*(1 - (x)^(2))^(1/2)+ x) |
ArcCosh[x] == + Log[I*(1 - (x)^(2))^(1/2)+ x] |
Failure | Failure | Failed [2 / 3] Result: 1.924847301
Test Values: {x = 1.5, x = 1/2}Result: 2.633915796
Test Values: {x = 2, x = 1/2} |
Successful [Tested: 1] |
| 4.37.E22 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acosh@@{x} = -\ln@{i(1-x^{2})^{1/2}+x}}
\acosh@@{x} = -\ln@{i(1-x^{2})^{1/2}+x} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arccosh(x) = - ln(I*(1 - (x)^(2))^(1/2)+ x) |
ArcCosh[x] == - Log[I*(1 - (x)^(2))^(1/2)+ x] |
Failure | Failure | Failed [1 / 3] Result: .1347500000e-10+2.094395102*I
Test Values: {x = .5, x = 1/2} |
Failed [1 / 1]
Result: Complex[0.0, 2.0943951023931953]
Test Values: {Rule[x, Rational[1, 2]]} |
| 4.37.E23 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acosh@@{x} = +\pi i+\ln@{(x^{2}-1)^{1/2}-x}}
\acosh@@{x} = +\pi i+\ln@{(x^{2}-1)^{1/2}-x} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arccosh(x) = + Pi*I + ln(((x)^(2)- 1)^(1/2)- x) |
ArcCosh[x] == + Pi*I + Log[((x)^(2)- 1)^(1/2)- x] |
Failure | Failure | Failed [3 / 3] Result: 1.924847301-6.283185308*I
Test Values: {x = 1.5, x = -2}Result: -.1347500000e-10-4.188790205*I
Test Values: {x = .5, x = -2}Result: 2.633915796-6.283185308*I
Test Values: {x = 2, x = -2} |
Successful [Tested: 1] |
| 4.37.E23 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acosh@@{x} = -\pi i+\ln@{(x^{2}-1)^{1/2}-x}}
\acosh@@{x} = -\pi i+\ln@{(x^{2}-1)^{1/2}-x} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arccosh(x) = - Pi*I + ln(((x)^(2)- 1)^(1/2)- x) |
ArcCosh[x] == - Pi*I + Log[((x)^(2)- 1)^(1/2)- x] |
Failure | Failure | Failed [3 / 3] Result: 1.924847301+0.*I
Test Values: {x = 1.5, x = -2}Result: -.1347500000e-10+2.094395103*I
Test Values: {x = .5, x = -2}Result: 2.633915796+0.*I
Test Values: {x = 2, x = -2} |
Failed [1 / 1]
Result: Complex[0.0, 6.283185307179586]
Test Values: {Rule[x, -2]} |
| 4.37.E24 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atanh@@{z} = \tfrac{1}{2}\ln@{\frac{1+z}{1-z}}}
\atanh@@{z} = \tfrac{1}{2}\ln@{\frac{1+z}{1-z}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arctanh(z) = (1)/(2)*ln((1 + z)/(1 - z)) |
ArcTanh[z] == Divide[1,2]*Log[Divide[1 + z,1 - z]] |
Failure | Failure | Failed [2 / 7] Result: .2e-9-3.141592654*I
Test Values: {z = 1.5, z = 1/2}Result: -.2e-9-3.141592654*I
Test Values: {z = 2, z = 1/2} |
Successful [Tested: 1] |
| 4.37.E25 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atanh@@{x} = +\tfrac{1}{2}\pi i+\tfrac{1}{2}\ln@{\frac{x+1}{x-1}}}
\atanh@@{x} = +\tfrac{1}{2}\pi i+\tfrac{1}{2}\ln@{\frac{x+1}{x-1}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arctanh(x) = +(1)/(2)*Pi*I +(1)/(2)*ln((x + 1)/(x - 1)) |
ArcTanh[x] == +Divide[1,2]*Pi*I +Divide[1,2]*Log[Divide[x + 1,x - 1]] |
Failure | Failure | Failed [3 / 3] Result: .2e-9-3.141592654*I
Test Values: {x = 1.5, x = -3/2}Result: -.2e-9-3.141592654*I
Test Values: {x = .5, x = -3/2}Result: -.2e-9-3.141592654*I
Test Values: {x = 2, x = -3/2} |
Successful [Tested: 1] |
| 4.37.E25 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atanh@@{x} = -\tfrac{1}{2}\pi i+\tfrac{1}{2}\ln@{\frac{x+1}{x-1}}}
\atanh@@{x} = -\tfrac{1}{2}\pi i+\tfrac{1}{2}\ln@{\frac{x+1}{x-1}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arctanh(x) = -(1)/(2)*Pi*I +(1)/(2)*ln((x + 1)/(x - 1)) |
ArcTanh[x] == -Divide[1,2]*Pi*I +Divide[1,2]*Log[Divide[x + 1,x - 1]] |
Failure | Failure | Successful [Tested: 3] | Failed [1 / 1]
Result: Complex[-1.1102230246251565*^-16, 3.141592653589793]
Test Values: {Rule[x, Rational[-3, 2]]} |
| 4.37.E26 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z = \sinh@@{w}}
z = \sinh@@{w} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | z = sinh(w) |
z == Sinh[w] |
Failure | Failure | Failed [70 / 70] Result: .73886869e-2-.1707313589*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}Result: -1.358636717+.1952940451*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}Result: -.3586367171-1.536756763*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}Result: -1.724662121-1.170731359*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}... skip entries to safe data |
Failed [70 / 70]
Result: Complex[0.007388686967293889, -0.17073135880721174]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[-1.3586367168171445, 0.19529404497722702]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.37.E27 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z = \cosh@@{w}}
z = \cosh@@{w} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | z = cosh(w) |
z == Cosh[w] |
Failure | Failure | Failed [70 / 70] Result: -.3617401130+.309246236e-1*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}Result: -1.727765517+.3969500276*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}Result: -.7277655170-1.335100780*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}Result: -2.093790921-.9690753764*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}... skip entries to safe data |
Failed [70 / 70]
Result: Complex[-0.3617401130796717, 0.030924623731496126]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[-1.7277655168641102, 0.3969500275159349]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.37.E28 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z = \tanh@@{w}}
z = \tanh@@{w} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | z = tanh(w) |
z == Tanh[w] |
Failure | Failure | Failed [70 / 70] Result: .736226475e-1+.2564398629*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I}Result: -1.292402756+.6224652669*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)}Result: -.2924027565-1.109585541*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)}Result: -1.658428160-.7435601371*I
Test Values: {w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I}... skip entries to safe data |
Failed [70 / 70]
Result: Complex[0.07362264736640245, 0.25643986284286624]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[-1.292402756418036, 0.622465266627305]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.37.E29 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = \Asinh@@{z}}
w = \Asinh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
w == ArcSinh[z] |
Missing Macro Error | Failure | - | Failed [70 / 70]
Result: Complex[0.03458245825512818, 0.12526556729125993]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[1.524504352246847, -0.28539816339744856]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.37.E29 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asinh@@{z} = (-1)^{k}\asinh@@{z}+k\pi i}
\Asinh@@{z} = (-1)^{k}\asinh@@{z}+k\pi i |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcSinh[z] == (- 1)^(k)* ArcSinh[z]+ k*Pi*I |
Missing Macro Error | Failure | - | Failed [21 / 21]
Result: Complex[1.662885891058621, -2.392123788172313]
Test Values: {Rule[k, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[0.0, -6.283185307179586]
Test Values: {Rule[k, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}... skip entries to safe data |
| 4.37.E30 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = \Acosh@@{z}}
w = \Acosh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
w == ArcCosh[z] |
Missing Macro Error | Failure | - | Failed [70 / 70]
Result: Complex[0.20754645532203042, -0.28539816339744833]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[0.03458245825512796, -1.4455307595036366]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.37.E30 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Acosh@@{z} = +\acosh@@{z}+2k\pi i}
\Acosh@@{z} = +\acosh@@{z}+2k\pi i |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcCosh[z] == + ArcCosh[z]+ 2*k*Pi*I |
Missing Macro Error | Failure | - | Failed [21 / 21]
Result: Complex[0.0, -6.283185307179586]
Test Values: {Rule[k, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[0.0, -12.566370614359172]
Test Values: {Rule[k, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}... skip entries to safe data |
| 4.37.E30 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Acosh@@{z} = -\acosh@@{z}+2k\pi i}
\Acosh@@{z} = -\acosh@@{z}+2k\pi i |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcCosh[z] == - ArcCosh[z]+ 2*k*Pi*I |
Missing Macro Error | Failure | - | Failed [21 / 21]
Result: Complex[1.3169578969248166, -4.71238898038469]
Test Values: {Rule[k, 1], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[1.3169578969248166, -10.995574287564276]
Test Values: {Rule[k, 2], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}... skip entries to safe data |
| 4.37.E31 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = \Atanh@@{z}}
w = \Atanh@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
w == ArcTanh[z] |
Missing Macro Error | Failure | - | Failed [10 / 10]
Result: Complex[0.3167192594503839, 0.49999999999999994]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Rational[1, 2]]}Result: Complex[-1.0493061443340546, 0.8660254037844387]
Test Values: {Rule[w, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]], Rule[z, Rational[1, 2]]}... skip entries to safe data |
| 4.37.E31 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atanh@@{z} = \atanh@@{z}+k\pi i}
\Atanh@@{z} = \atanh@@{z}+k\pi i |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcTanh[z] == ArcTanh[z]+ k*Pi*I |
Missing Macro Error | Failure | - | Failed [3 / 3]
Result: Complex[0.0, -3.141592653589793]
Test Values: {Rule[k, 1], Rule[z, Rational[1, 2]]}Result: Complex[0.0, -6.283185307179586]
Test Values: {Rule[k, 2], Rule[z, Rational[1, 2]]}... skip entries to safe data |
| 4.38.E4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \acosh@@{z} = (2(z-1))^{1/2}\*{\left(1+\sum_{n=1}^{\infty}(-1)^{n}\frac{1\cdot 3\cdot 5\cdots(2n-1)}{2^{2n}n!(2n+1)}(z-1)^{n}\right)}}
\acosh@@{z} = (2(z-1))^{1/2}\*{\left(1+\sum_{n=1}^{\infty}(-1)^{n}\frac{1\cdot 3\cdot 5\cdots(2n-1)}{2^{2n}n!(2n+1)}(z-1)^{n}\right)} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{z} > 0, |z-1| \leq 2} | arccosh(z) = (2*(z - 1))^(1/2)*(1 + sum((- 1)^(n)*(1 * 3 * 5*(2*n - 1))/((2)^(2*n)* factorial(n)*(2*n + 1))*(z - 1)^(n), n = 1..infinity)) |
ArcCosh[z] == (2*(z - 1))^(1/2)*(1 + Sum[(- 1)^(n)*Divide[1 * 3 * 5*(2*n - 1),(2)^(2*n)* (n)!*(2*n + 1)]*(z - 1)^(n), {n, 1, Infinity}, GenerateConditions->None]) |
Failure | Failure | Failed [5 / 5] Result: -.5552108774+.3065228369*I
Test Values: {z = 1/2*3^(1/2)+1/2*I}Result: -1.819822265-.3498215011*I
Test Values: {z = 1/2-1/2*I*3^(1/2)}Result: .5204832489
Test Values: {z = 1.5}Result: -.651724541*I
Test Values: {z = .5}... skip entries to safe data |
Failed [5 / 5]
Result: Complex[-0.5552108781095244, 0.30652283644847583]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[-1.8198222655846492, -0.34982149976378074]
Test Values: {Rule[z, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}... skip entries to safe data |
| 4.38.E8 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x^{2}-y^{2} = \tfrac{1}{2}}
x^{2}-y^{2} = \tfrac{1}{2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (x)^(2)- (y)^(2) = (1)/(2) |
(x)^(2)- (y)^(2) == Divide[1,2] |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.38.E9 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\asinh@@{z} = (1+z^{2})^{-1/2}}
\deriv{}{z}\asinh@@{z} = (1+z^{2})^{-1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arcsinh(z), z) = (1 + (z)^(2))^(- 1/2) |
D[ArcSinh[z], z] == (1 + (z)^(2))^(- 1/2) |
Successful | Successful | - | Successful [Tested: 7] |
| 4.38.E10 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\acosh@@{z} = +(z^{2}-1)^{-1/2}}
\deriv{}{z}\acosh@@{z} = +(z^{2}-1)^{-1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arccosh(z), z) = +((z)^(2)- 1)^(- 1/2) |
D[ArcCosh[z], z] == +((z)^(2)- 1)^(- 1/2) |
Failure | Failure | Failed [2 / 7] Result: -.3933198932-1.467889825*I
Test Values: {z = -1/2+1/2*I*3^(1/2), z = 1/2}Result: -1.000000000+1.732050808*I
Test Values: {z = -1/2*3^(1/2)-1/2*I, z = 1/2} |
Successful [Tested: 1] |
| 4.38.E10 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\acosh@@{z} = -(z^{2}-1)^{-1/2}}
\deriv{}{z}\acosh@@{z} = -(z^{2}-1)^{-1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arccosh(z), z) = -((z)^(2)- 1)^(- 1/2) |
D[ArcCosh[z], z] == -((z)^(2)- 1)^(- 1/2) |
Failure | Failure | Failed [5 / 7] Result: 1.000000000-1.732050808*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, z = 1/2}Result: .3933198932+1.467889825*I
Test Values: {z = 1/2-1/2*I*3^(1/2), z = 1/2}Result: 1.788854382
Test Values: {z = 1.5, z = 1/2}Result: -2.309401076*I
Test Values: {z = .5, z = 1/2}... skip entries to safe data |
Failed [1 / 1]
Result: Complex[0.0, -2.3094010767585034]
Test Values: {Rule[z, Rational[1, 2]]} |
| 4.38.E11 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\atanh@@{z} = \frac{1}{1-z^{2}}}
\deriv{}{z}\atanh@@{z} = \frac{1}{1-z^{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arctanh(z), z) = (1)/(1 - (z)^(2)) |
D[ArcTanh[z], z] == Divide[1,1 - (z)^(2)] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.38.E12 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\acsch@@{z} = -\frac{1}{z(1+z^{2})^{1/2}}}
\deriv{}{z}\acsch@@{z} = -\frac{1}{z(1+z^{2})^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arccsch(z), z) = -(1)/(z*(1 + (z)^(2))^(1/2)) |
D[ArcCsch[z], z] == -Divide[1,z*(1 + (z)^(2))^(1/2)] |
Failure | Failure | Failed [2 / 7] Result: .6696152420e-9-2.000000000*I
Test Values: {z = -1/2+1/2*I*3^(1/2), z = 1/2}Result: -1.074569932+1.074569932*I
Test Values: {z = -1/2*3^(1/2)-1/2*I, z = 1/2} |
Successful [Tested: 1] |
| 4.38.E12 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\acsch@@{z} = +\frac{1}{z(1+z^{2})^{1/2}}}
\deriv{}{z}\acsch@@{z} = +\frac{1}{z(1+z^{2})^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arccsch(z), z) = +(1)/(z*(1 + (z)^(2))^(1/2)) |
D[ArcCsch[z], z] == +Divide[1,z*(1 + (z)^(2))^(1/2)] |
Failure | Failure | Failed [5 / 7] Result: -1.074569932+1.074569932*I
Test Values: {z = 1/2*3^(1/2)+1/2*I, z = 1/2}Result: .6696152420e-9-2.000000000*I
Test Values: {z = 1/2-1/2*I*3^(1/2), z = 1/2}Result: -.7396002616
Test Values: {z = 1.5, z = 1/2}Result: -3.577708764
Test Values: {z = .5, z = 1/2}... skip entries to safe data |
Failed [1 / 1]
Result: -3.5777087639996634
Test Values: {Rule[z, Rational[1, 2]]} |
| 4.38.E13 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\asech@@{z} = -\frac{1}{z(1-z^{2})^{1/2}}}
\deriv{}{z}\asech@@{z} = -\frac{1}{z(1-z^{2})^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arcsech(z), z) = -(1)/(z*(1 - (z)^(2))^(1/2)) |
D[ArcSech[z], z] == -Divide[1,z*(1 - (z)^(2))^(1/2)] |
Failure | Failure | Successful [Tested: 7] | Successful [Tested: 7] |
| 4.38.E14 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\acoth@@{z} = \frac{1}{1-z^{2}}}
\deriv{}{z}\acoth@@{z} = \frac{1}{1-z^{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | diff(arccoth(z), z) = (1)/(1 - (z)^(2)) |
D[ArcCoth[z], z] == Divide[1,1 - (z)^(2)] |
Successful | Successful | - | Successful [Tested: 7] |
| 4.38.E15 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asinh@@{u}+\Asinh@@{v} = \Asinh@{u(1+v^{2})^{1/2}+ v(1+u^{2})^{1/2}}}
\Asinh@@{u}+\Asinh@@{v} = \Asinh@{u(1+v^{2})^{1/2}+ v(1+u^{2})^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcSinh[u]+ ArcSinh[v] == ArcSinh[u*(1 + (v)^(2))^(1/2)+ v*(1 + (u)^(2))^(1/2)] |
Missing Macro Error | Failure | - | Failed [1 / 100]
Result: Complex[-2.633915793849633, 4.440892098500626*^-16]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]} |
| 4.38.E15 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asinh@@{u}-\Asinh@@{v} = \Asinh@{u(1+v^{2})^{1/2}- v(1+u^{2})^{1/2}}}
\Asinh@@{u}-\Asinh@@{v} = \Asinh@{u(1+v^{2})^{1/2}- v(1+u^{2})^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcSinh[u]- ArcSinh[v] == ArcSinh[u*(1 + (v)^(2))^(1/2)- v*(1 + (u)^(2))^(1/2)] |
Missing Macro Error | Failure | - | Successful [Tested: 100] |
| 4.38.E16 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Acosh@@{u}+\Acosh@@{v} = \Acosh@{uv+((u^{2}-1)(v^{2}-1))^{1/2}}}
\Acosh@@{u}+\Acosh@@{v} = \Acosh@{uv+((u^{2}-1)(v^{2}-1))^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcCosh[u]+ ArcCosh[v] == ArcCosh[u*v +(((u)^(2)- 1)*((v)^(2)- 1))^(1/2)] |
Missing Macro Error | Failure | - | Failed [60 / 100]
Result: Complex[1.3169578969248166, 1.5707963267948966]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[1.316957896924817, 1.5707963267948966]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.38.E16 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Acosh@@{u}-\Acosh@@{v} = \Acosh@{uv-((u^{2}-1)(v^{2}-1))^{1/2}}}
\Acosh@@{u}-\Acosh@@{v} = \Acosh@{uv-((u^{2}-1)(v^{2}-1))^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcCosh[u]- ArcCosh[v] == ArcCosh[u*v -(((u)^(2)- 1)*((v)^(2)- 1))^(1/2)] |
Missing Macro Error | Failure | - | Failed [80 / 100]
Result: Complex[-1.3169578969248166, -1.5707963267948966]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[-1.6628858910586213, -3.8910615190072733]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.38.E17 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atanh@@{u}+\Atanh@@{v} = \Atanh@{\frac{u+ v}{1+ uv}}}
\Atanh@@{u}+\Atanh@@{v} = \Atanh@{\frac{u+ v}{1+ uv}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcTanh[u]+ ArcTanh[v] == ArcTanh[Divide[u + v,1 + u*v]] |
Missing Macro Error | Failure | - | Successful [Tested: 1] |
| 4.38.E17 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atanh@@{u}-\Atanh@@{v} = \Atanh@{\frac{u- v}{1- uv}}}
\Atanh@@{u}-\Atanh@@{v} = \Atanh@{\frac{u- v}{1- uv}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcTanh[u]- ArcTanh[v] == ArcTanh[Divide[u - v,1 - u*v]] |
Missing Macro Error | Failure | - | Successful [Tested: 1] |
| 4.38.E18 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asinh@@{u}+\Acosh@@{v} = \Asinh@{uv+((1+u^{2})(v^{2}-1))^{1/2}}}
\Asinh@@{u}+\Acosh@@{v} = \Asinh@{uv+((1+u^{2})(v^{2}-1))^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcSinh[u]+ ArcCosh[v] == ArcSinh[u*v +((1 + (u)^(2))*((v)^(2)- 1))^(1/2)] |
Missing Macro Error | Failure | - | Failed [53 / 100]
Result: Complex[1.66288587615746, 3.891061504106112]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}Result: Complex[1.6628858910586204, -2.3921237881723125]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}... skip entries to safe data |
| 4.38.E18 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asinh@@{u}-\Acosh@@{v} = \Asinh@{uv-((1+u^{2})(v^{2}-1))^{1/2}}}
\Asinh@@{u}-\Acosh@@{v} = \Asinh@{uv-((1+u^{2})(v^{2}-1))^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcSinh[u]- ArcCosh[v] == ArcSinh[u*v -((1 + (u)^(2))*((v)^(2)- 1))^(1/2)] |
Missing Macro Error | Failure | - | Failed [53 / 100]
Result: Complex[1.6628858910586208, -2.392123788172313]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}Result: Complex[1.6628858910586208, 3.8910615190072733]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}... skip entries to safe data |
| 4.38.E18 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asinh@{uv+((1+u^{2})(v^{2}-1))^{1/2}} = \Acosh@{v(1+u^{2})^{1/2}+ u(v^{2}-1)^{1/2}}}
\Asinh@{uv+((1+u^{2})(v^{2}-1))^{1/2}} = \Acosh@{v(1+u^{2})^{1/2}+ u(v^{2}-1)^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcSinh[u*v +((1 + (u)^(2))*((v)^(2)- 1))^(1/2)] == ArcCosh[v*(1 + (u)^(2))^(1/2)+ u*((v)^(2)- 1)^(1/2)] |
Missing Macro Error | Failure | - | Failed [65 / 100]
Result: Complex[1.4901161193847656*^-8, -3.141592638688632]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}Result: Complex[-0.34592799413380415, -2.320265192212377]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}... skip entries to safe data |
| 4.38.E18 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Asinh@{uv-((1+u^{2})(v^{2}-1))^{1/2}} = \Acosh@{v(1+u^{2})^{1/2}- u(v^{2}-1)^{1/2}}}
\Asinh@{uv-((1+u^{2})(v^{2}-1))^{1/2}} = \Acosh@{v(1+u^{2})^{1/2}- u(v^{2}-1)^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcSinh[u*v -((1 + (u)^(2))*((v)^(2)- 1))^(1/2)] == ArcCosh[v*(1 + (u)^(2))^(1/2)- u*((v)^(2)- 1)^(1/2)] |
Missing Macro Error | Failure | - | Failed [86 / 100]
Result: Complex[-3.325771782117242, -1.4989377308349603]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}Result: Complex[-2.9798437879834374, 0.8213274613774169]
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}... skip entries to safe data |
| 4.38.E19 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atanh@@{u}+\Acoth@@{v} = \Atanh@{\frac{uv+ 1}{v+ u}}}
\Atanh@@{u}+\Acoth@@{v} = \Atanh@{\frac{uv+ 1}{v+ u}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcTanh[u]+ ArcCoth[v] == ArcTanh[Divide[u*v + 1,v + u]] |
Missing Macro Error | Failure | - | Failed [1 / 10]
Result: Indeterminate
Test Values: {Rule[u, Rational[1, 2]], Rule[v, -0.5]} |
| 4.38.E19 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atanh@@{u}-\Acoth@@{v} = \Atanh@{\frac{uv- 1}{v- u}}}
\Atanh@@{u}-\Acoth@@{v} = \Atanh@{\frac{uv- 1}{v- u}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcTanh[u]- ArcCoth[v] == ArcTanh[Divide[u*v - 1,v - u]] |
Missing Macro Error | Failure | - | Failed [1 / 10]
Result: Indeterminate
Test Values: {Rule[u, Rational[1, 2]], Rule[v, 0.5]} |
| 4.38.E19 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atanh@{\frac{uv+ 1}{v+ u}} = \Acoth@{\frac{v+ u}{uv+ 1}}}
\Atanh@{\frac{uv+ 1}{v+ u}} = \Acoth@{\frac{v+ u}{uv+ 1}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcTanh[Divide[u*v + 1,v + u]] == ArcCoth[Divide[v + u,u*v + 1]] |
Missing Macro Error | Successful | - | Failed [8 / 100]
Result: Indeterminate
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]]}Result: Indeterminate
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[-5, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}... skip entries to safe data |
| 4.38.E19 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Atanh@{\frac{uv- 1}{v- u}} = \Acoth@{\frac{v- u}{uv- 1}}}
\Atanh@{\frac{uv- 1}{v- u}} = \Acoth@{\frac{v- u}{uv- 1}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error |
ArcTanh[Divide[u*v - 1,v - u]] == ArcCoth[Divide[v - u,u*v - 1]] |
Missing Macro Error | Successful | - | Failed [10 / 100]
Result: Indeterminate
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Indeterminate
Test Values: {Rule[u, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]], Rule[v, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.40.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\sinh@@{x}\diff{x} = \cosh@@{x}}
\int\sinh@@{x}\diff{x} = \cosh@@{x} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | int(sinh(x), x) = cosh(x) |
Integrate[Sinh[x], x, GenerateConditions->None] == Cosh[x] |
Successful | Successful | - | Successful [Tested: 3] |
| 4.40.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\cosh@@{x}\diff{x} = \sinh@@{x}}
\int\cosh@@{x}\diff{x} = \sinh@@{x} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | int(cosh(x), x) = sinh(x) |
Integrate[Cosh[x], x, GenerateConditions->None] == Sinh[x] |
Successful | Successful | - | Successful [Tested: 3] |
| 4.40.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\tanh@@{x}\diff{x} = \ln@{\cosh@@{x}}}
\int\tanh@@{x}\diff{x} = \ln@{\cosh@@{x}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | int(tanh(x), x) = ln(cosh(x)) |
Integrate[Tanh[x], x, GenerateConditions->None] == Log[Cosh[x]] |
Successful | Successful | - | Successful [Tested: 3] |
| 4.40.E4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\csch@@{x}\diff{x} = \ln@{\tanh@{\tfrac{1}{2}x}}}
\int\csch@@{x}\diff{x} = \ln@{\tanh@{\tfrac{1}{2}x}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < x, x < \infty} | int(csch(x), x) = ln(tanh((1)/(2)*x)) |
Integrate[Csch[x], x, GenerateConditions->None] == Log[Tanh[Divide[1,2]*x]] |
Successful | Successful | - | Successful [Tested: 3] |
| 4.40.E5 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\sech@@{x}\diff{x} = \Gudermannian@{x}}
\int\sech@@{x}\diff{x} = \Gudermannian@{x} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < \infty} | int(sech(x), x) = arctan(sinh(x)) |
Integrate[Sech[x], x, GenerateConditions->None] == Gudermannian[x] |
Successful | Failure | - | Successful [Tested: 3] |
| 4.40.E6 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\coth@@{x}\diff{x} = \ln@{\sinh@@{x}}}
\int\coth@@{x}\diff{x} = \ln@{\sinh@@{x}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < x, x < \infty} | int(coth(x), x) = ln(sinh(x)) |
Integrate[Coth[x], x, GenerateConditions->None] == Log[Sinh[x]] |
Successful | Successful | - | Successful [Tested: 3] |
| 4.40.E7 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}e^{-x}\frac{\sin@{ax}}{\sinh@@{x}}\diff{x} = \tfrac{1}{2}\pi\coth@{\tfrac{1}{2}\pi a}-\frac{1}{a}}
\int_{0}^{\infty}e^{-x}\frac{\sin@{ax}}{\sinh@@{x}}\diff{x} = \tfrac{1}{2}\pi\coth@{\tfrac{1}{2}\pi a}-\frac{1}{a} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a \neq 0} | int(exp(- x)*(sin(a*x))/(sinh(x)), x = 0..infinity) = (1)/(2)*Pi*coth((1)/(2)*Pi*a)-(1)/(a) |
Integrate[Exp[- x]*Divide[Sin[a*x],Sinh[x]], {x, 0, Infinity}, GenerateConditions->None] == Divide[1,2]*Pi*Coth[Divide[1,2]*Pi*a]-Divide[1,a] |
Failure | Aborted | Successful [Tested: 6] | Successful [Tested: 6] |
| 4.40.E8 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}\frac{\sinh@{ax}}{\sinh@{\pi x}}\diff{x} = \tfrac{1}{2}\tan@{\tfrac{1}{2}a}}
\int_{0}^{\infty}\frac{\sinh@{ax}}{\sinh@{\pi x}}\diff{x} = \tfrac{1}{2}\tan@{\tfrac{1}{2}a} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\pi < a, a < \pi} | int((sinh(a*x))/(sinh(Pi*x)), x = 0..infinity) = (1)/(2)*tan((1)/(2)*a) |
Integrate[Divide[Sinh[a*x],Sinh[Pi*x]], {x, 0, Infinity}, GenerateConditions->None] == Divide[1,2]*Tan[Divide[1,2]*a] |
Failure | Aborted | Successful [Tested: 6] | Skipped - Because timed out |
| 4.40.E9 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{-\infty}^{\infty}\frac{e^{ax}}{\left(\cosh@{\tfrac{1}{2}x}\right)^{2}}\diff{x} = \frac{4\pi a}{\sin@{\pi a}}}
\int_{-\infty}^{\infty}\frac{e^{ax}}{\left(\cosh@{\tfrac{1}{2}x}\right)^{2}}\diff{x} = \frac{4\pi a}{\sin@{\pi a}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 < a, a < 1} | int((exp(a*x))/((cosh((1)/(2)*x))^(2)), x = - infinity..infinity) = (4*Pi*a)/(sin(Pi*a)) |
Integrate[Divide[Exp[a*x],(Cosh[Divide[1,2]*x])^(2)], {x, - Infinity, Infinity}, GenerateConditions->None] == Divide[4*Pi*a,Sin[Pi*a]] |
Failure | Successful | Successful [Tested: 2] | Successful [Tested: 2] |
| 4.40.E10 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}\frac{\tanh@{ax}-\tanh@{bx}}{x}\diff{x} = \ln@{\frac{a}{b}}}
\int_{0}^{\infty}\frac{\tanh@{ax}-\tanh@{bx}}{x}\diff{x} = \ln@{\frac{a}{b}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a > 0, b > 0} | int((tanh(a*x)- tanh(b*x))/(x), x = 0..infinity) = ln((a)/(b)) |
Integrate[Divide[Tanh[a*x]- Tanh[b*x],x], {x, 0, Infinity}, GenerateConditions->None] == Log[Divide[a,b]] |
Skipped - Unable to analyze test case: Null | Skipped - Unable to analyze test case: Null | - | - |
| 4.40.E11 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\asinh@@{x}\diff{x} = x\asinh@@{x}-(1+x^{2})^{1/2}}
\int\asinh@@{x}\diff{x} = x\asinh@@{x}-(1+x^{2})^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | int(arcsinh(x), x) = x*arcsinh(x)-(1 + (x)^(2))^(1/2) |
Integrate[ArcSinh[x], x, GenerateConditions->None] == x*ArcSinh[x]-(1 + (x)^(2))^(1/2) |
Successful | Successful | - | Successful [Tested: 3] |
| 4.40.E12 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\acosh@@{x}\diff{x} = x\acosh@@{x}-(x^{2}-1)^{1/2}}
\int\acosh@@{x}\diff{x} = x\acosh@@{x}-(x^{2}-1)^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 1 < x, x < \infty} | int(arccosh(x), x) = x*arccosh(x)-((x)^(2)- 1)^(1/2) |
Integrate[ArcCosh[x], x, GenerateConditions->None] == x*ArcCosh[x]-((x)^(2)- 1)^(1/2) |
Failure | Successful | Successful [Tested: 2] | Successful [Tested: 2] |
| 4.40.E13 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\atanh@@{x}\diff{x} = x\atanh@@{x}+\tfrac{1}{2}\ln@{1-x^{2}}}
\int\atanh@@{x}\diff{x} = x\atanh@@{x}+\tfrac{1}{2}\ln@{1-x^{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 < x, x < 1} | int(arctanh(x), x) = x*arctanh(x)+(1)/(2)*ln(1 - (x)^(2)) |
Integrate[ArcTanh[x], x, GenerateConditions->None] == x*ArcTanh[x]+Divide[1,2]*Log[1 - (x)^(2)] |
Successful | Successful | - | Successful [Tested: 1] |
| 4.40.E14 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\acsch@@{x}\diff{x} = x\acsch@@{x}+\asinh@@{x}}
\int\acsch@@{x}\diff{x} = x\acsch@@{x}+\asinh@@{x} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < x, x < \infty} | int(arccsch(x), x) = x*arccsch(x)+ arcsinh(x) |
Integrate[ArcCsch[x], x, GenerateConditions->None] == x*ArcCsch[x]+ ArcSinh[x] |
Failure | Successful | Successful [Tested: 3] | Successful [Tested: 3] |
| 4.40.E15 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\asech@@{x}\diff{x} = x\asech@@{x}+\asin@@{x}}
\int\asech@@{x}\diff{x} = x\asech@@{x}+\asin@@{x} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < x, x < 1} | int(arcsech(x), x) = x*arcsech(x)+ arcsin(x) |
Integrate[ArcSech[x], x, GenerateConditions->None] == x*ArcSech[x]+ ArcSin[x] |
Failure | Successful | Failed [1 / 1] Result: -1.570796327
Test Values: {x = .5} |
Successful [Tested: 1] |
| 4.40.E16 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int\acoth@@{x}\diff{x} = x\acoth@@{x}+\tfrac{1}{2}\ln@{x^{2}-1}}
\int\acoth@@{x}\diff{x} = x\acoth@@{x}+\tfrac{1}{2}\ln@{x^{2}-1} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 1 < x, x < \infty} | int(arccoth(x), x) = x*arccoth(x)+(1)/(2)*ln((x)^(2)- 1) |
Integrate[ArcCoth[x], x, GenerateConditions->None] == x*ArcCoth[x]+Divide[1,2]*Log[(x)^(2)- 1] |
Successful | Failure | - | Failed [1 / 1]
Result: Complex[0.0, -1.5707963267948966]
Test Values: {Rule[x, Rational[1, 2]]} |
| 4.42.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{A} = \frac{a}{c}}
\sin@@{A} = \frac{a}{c} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sin(A) = (a)/(c) |
Sin[A] == Divide[a,c] |
Failure | Failure | Failed [300 / 300] Result: -.1410196655+.3375964631*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, c = -1.5}Result: 1.858980334+.3375964631*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, c = 1.5}Result: -2.141019666+.3375964631*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, c = -.5}Result: 3.858980334+.3375964631*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, c = .5}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[-0.14101966569986213, 0.33759646322287]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[c, -1.5]}Result: Complex[1.8589803343001379, 0.33759646322287]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[c, 1.5]}... skip entries to safe data |
| 4.42.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{a}{c} = \frac{1}{\csc@@{A}}}
\frac{a}{c} = \frac{1}{\csc@@{A}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (a)/(c) = (1)/(csc(A)) |
Divide[a,c] == Divide[1,Csc[A]] |
Failure | Failure | Failed [300 / 300] Result: .1410196654-.3375964632*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, c = -1.5}Result: -1.858980335-.3375964632*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, c = 1.5}Result: 2.141019665-.3375964632*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, c = -.5}Result: -3.858980335-.3375964632*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, c = .5}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[0.14101966569986213, -0.33759646322287]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[c, -1.5]}Result: Complex[-1.8589803343001379, -0.33759646322287]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[c, 1.5]}... skip entries to safe data |
| 4.42.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{A} = \frac{b}{c}}
\cos@@{A} = \frac{b}{c} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cos(A) = (b)/(c) |
Cos[A] == Divide[b,c] |
Failure | Failure | Failed [300 / 300] Result: -.2694569811-.3969495503*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, b = -1.5, c = -1.5}Result: 1.730543019-.3969495503*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, b = -1.5, c = 1.5}Result: -2.269456981-.3969495503*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, b = -1.5, c = -.5}Result: 3.730543019-.3969495503*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, b = -1.5, c = .5}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[-0.2694569809427748, -0.3969495502290325]
Test Values: {Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[c, -1.5]}Result: Complex[1.730543019057225, -0.3969495502290325]
Test Values: {Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[c, 1.5]}... skip entries to safe data |
| 4.42.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{b}{c} = \frac{1}{\sec@@{A}}}
\frac{b}{c} = \frac{1}{\sec@@{A}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (b)/(c) = (1)/(sec(A)) |
Divide[b,c] == Divide[1,Sec[A]] |
Failure | Failure | Failed [300 / 300] Result: .2694569810+.3969495505*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, b = -1.5, c = -1.5}Result: -1.730543019+.3969495505*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, b = -1.5, c = 1.5}Result: 2.269456981+.3969495505*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, b = -1.5, c = -.5}Result: -3.730543019+.3969495505*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, b = -1.5, c = .5}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[0.2694569809427748, 0.3969495502290325]
Test Values: {Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[c, -1.5]}Result: Complex[-1.730543019057225, 0.3969495502290325]
Test Values: {Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[c, 1.5]}... skip entries to safe data |
| 4.42.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tan@@{A} = \frac{a}{b}}
\tan@@{A} = \frac{a}{b} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | tan(A) = (a)/(b) |
Tan[A] == Divide[a,b] |
Failure | Failure | Failed [300 / 300] Result: -.2860691196+.8500402975*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5}Result: 1.713930880+.8500402975*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = 1.5}Result: -2.286069120+.8500402975*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -.5}Result: 3.713930880+.8500402975*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = .5}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[-0.2860691197539781, 0.8500402971922751]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5]}Result: Complex[1.7139308802460218, 0.8500402971922751]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, 1.5]}... skip entries to safe data |
| 4.42.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{a}{b} = \frac{1}{\cot@@{A}}}
\frac{a}{b} = \frac{1}{\cot@@{A}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (a)/(b) = (1)/(cot(A)) |
Divide[a,b] == Divide[1,Cot[A]] |
Failure | Failure | Failed [300 / 300] Result: .2860691196-.8500402975*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5}Result: -1.713930880-.8500402975*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = 1.5}Result: 2.286069120-.8500402975*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -.5}Result: -3.713930880-.8500402975*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = .5}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[0.2860691197539781, -0.8500402971922751]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5]}Result: Complex[-1.7139308802460218, -0.8500402971922751]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, 1.5]}... skip entries to safe data |
| 4.42.E4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{a}{\sin@@{A}} = \frac{b}{\sin@@{B}}}
\frac{a}{\sin@@{A}} = \frac{b}{\sin@@{B}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (a)/(sin(A)) = (b)/(sin(B)) |
Divide[a,Sin[A]] == Divide[b,Sin[B]] |
Failure | Failure | Failed [288 / 300] Result: -3.025222791+1.188973104*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, b = 1.5}Result: -1.008407597+.3963243680*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -.5}Result: -2.016815194+.7926487360*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, b = .5}Result: .5042037985-.1981621840*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -2}... skip entries to safe data |
Failed [290 / 300]
Result: Complex[-2.3601096690692955, -0.4904383214455733]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[B, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}Result: Complex[-0.6651131226742772, 1.6794114261511237]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[B, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}... skip entries to safe data |
| 4.42.E4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{b}{\sin@@{B}} = \frac{c}{\sin@@{C}}}
\frac{b}{\sin@@{B}} = \frac{c}{\sin@@{C}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (b)/(sin(B)) = (c)/(sin(C)) |
Divide[b,Sin[B]] == Divide[c,Sin[C]] |
Failure | Failure | Failed [288 / 300] Result: -3.025222791+1.188973104*I
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, b = -1.5, c = 1.5}Result: -1.008407597+.3963243680*I
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, b = -1.5, c = -.5}Result: -2.016815194+.7926487360*I
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, b = -1.5, c = .5}Result: .5042037985-.1981621840*I
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, b = -1.5, c = -2}... skip entries to safe data |
Failed [290 / 300]
Result: Complex[-2.3601096690692955, -0.4904383214455733]
Test Values: {Rule[b, -1.5], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[c, -1.5], Rule[C, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}Result: Complex[-0.6651131226742772, 1.6794114261511237]
Test Values: {Rule[b, -1.5], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[c, -1.5], Rule[C, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}... skip entries to safe data |
| 4.42.E5 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c^{2} = a^{2}+b^{2}-2ab\cos@@{C}}
c^{2} = a^{2}+b^{2}-2ab\cos@@{C} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (c)^(2) = (a)^(2)+ (b)^(2)- 2*a*b*cos(C) |
(c)^(2) == (a)^(2)+ (b)^(2)- 2*a*b*Cos[C] |
Failure | Failure | Failed [300 / 300] Result: 1.037443585-1.786272976*I
Test Values: {C = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -1.5}Result: 1.037443585-1.786272976*I
Test Values: {C = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = 1.5}Result: -.962556415-1.786272976*I
Test Values: {C = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -.5}Result: -.962556415-1.786272976*I
Test Values: {C = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = .5}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[1.0374435857575133, -1.7862729760306462]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[c, -1.5], Rule[C, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[3.274944825888497, 2.1108391932082666]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[c, -1.5], Rule[C, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.42.E6 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a = b\cos@@{C}+c\cos@@{B}}
a = b\cos@@{C}+c\cos@@{B} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | a = b*cos(C)+ c*cos(B) |
a == b*Cos[C]+ c*Cos[B] |
Failure | Failure | Failed [300 / 300] Result: .691629057-1.190848651*I
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -1.5}Result: -1.5
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = 1.5}Result: -.38913962e-1-.7938991006*I
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -.5}Result: -.7694569811-.3969495503*I
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = .5}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[0.6916290571716757, -1.1908486506870974]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[c, -1.5], Rule[C, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[1.4374628038820034, 0.10818873905920678]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[c, -1.5], Rule[C, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.42.E7 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hbox{area} = \tfrac{1}{2}bc\sin@@{A}}
\hbox{area} = \tfrac{1}{2}bc\sin@@{A} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | a*r*exp(1)*a = (1)/(2)*b*c*sin(A) |
a*r*E*a == Divide[1,2]*b*c*Sin[A] |
Failure | Failure | Failed [300 / 300] Result: -10.14055405-.3797960210*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -1.5, r = -1.5}Result: 8.207848294-.3797960210*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -1.5, r = 1.5}Result: -4.024419932-.3797960210*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -1.5, r = -.5}Result: 2.091714180-.3797960210*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -1.5, r = .5}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[-10.140554047136932, -0.37979602112572874]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[c, -1.5], Rule[r, -1.5]}Result: Complex[8.207848294961623, -0.37979602112572874]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[c, -1.5], Rule[r, 1.5]}... skip entries to safe data |
| 4.42.E7 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tfrac{1}{2}bc\sin@@{A} = \left(s(s-a)(s-b)(s-c)\right)^{1/2}}
\tfrac{1}{2}bc\sin@@{A} = \left(s(s-a)(s-b)(s-c)\right)^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (1)/(2)*b*c*sin(A) = (s*(s - a)*(s - b)*(s - c))^(1/2) |
Divide[1,2]*b*c*Sin[A] == (s*(s - a)*(s - b)*(s - c))^(1/2) |
Failure | Failure | Failed [300 / 300] Result: .9663528763+.3797960210*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -1.5, s = -1.5}Result: -5.397608155+.3797960210*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -1.5, s = 1.5}Result: .9663528763-.3273107602*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -1.5, s = -.5}Result: -1.033647124+.3797960210*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -1.5, s = .5}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[0.9663528760876551, 0.37979602112572874]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[c, -1.5], Rule[s, -1.5]}Result: Complex[-5.397608154591272, 0.37979602112572874]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[c, -1.5], Rule[s, 1.5]}... skip entries to safe data |
| 4.42.E8 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{a} = \cos@@{b}\cos@@{c}+\sin@@{b}\sin@@{c}\cos@@{A}}
\cos@@{a} = \cos@@{b}\cos@@{c}+\sin@@{b}\sin@@{c}\cos@@{A} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cos(a) = cos(b)*cos(c)+ sin(b)*sin(c)*cos(A) |
Cos[a] == Cos[b]*Cos[c]+ Sin[b]*Sin[c]*Cos[A] |
Failure | Failure | Failed [300 / 300] Result: -.6611541130+.3949633133*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -1.5}Result: .7926210130-.3949633133*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = 1.5}Result: -.3407041550+.1898310285*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -.5}Result: .3580230890-.1898310285*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = .5}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[-0.6611541132159315, 0.3949633132423481]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[c, -1.5]}Result: Complex[0.7926210131517828, -0.3949633132423481]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[c, 1.5]}... skip entries to safe data |
| 4.42.E9 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{\sin@@{A}}{\sin@@{a}} = \frac{\sin@@{B}}{\sin@@{b}}}
\frac{\sin@@{A}}{\sin@@{a}} = \frac{\sin@@{B}}{\sin@@{b}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (sin(A))/(sin(a)) = (sin(B))/(sin(b)) |
Divide[Sin[A],Sin[a]] == Divide[Sin[B],Sin[b]] |
Failure | Failure | Failed [288 / 300] Result: -1.722274990-.6768885409*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, b = 1.5}Result: .9305491492+.3657244397*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -.5}Result: -2.652824140-1.042612981*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, b = .5}Result: .835262737e-1+.328274973e-1*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -2}... skip entries to safe data |
Failed [286 / 300]
Result: Complex[-1.5335532645785146, 0.5223487441958409]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[B, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}Result: Complex[-0.18872172594452297, -1.1992372855051223]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[B, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}... skip entries to safe data |
| 4.42.E9 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{\sin@@{B}}{\sin@@{b}} = \frac{\sin@@{C}}{\sin@@{c}}}
\frac{\sin@@{B}}{\sin@@{b}} = \frac{\sin@@{C}}{\sin@@{c}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (sin(B))/(sin(b)) = (sin(C))/(sin(c)) |
Divide[Sin[B],Sin[b]] == Divide[Sin[C],Sin[c]] |
Failure | Failure | Failed [288 / 300] Result: -1.722274990-.6768885409*I
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, b = -1.5, c = 1.5}Result: .9305491492+.3657244397*I
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, b = -1.5, c = -.5}Result: -2.652824140-1.042612981*I
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, b = -1.5, c = .5}Result: .835262737e-1+.328274973e-1*I
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, b = -1.5, c = -2}... skip entries to safe data |
Failed [286 / 300]
Result: Complex[-1.5335532645785146, 0.5223487441958409]
Test Values: {Rule[b, -1.5], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[c, -1.5], Rule[C, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}Result: Complex[-0.18872172594452297, -1.1992372855051223]
Test Values: {Rule[b, -1.5], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[c, -1.5], Rule[C, Power[E, Times[Complex[0, Rational[-1, 3]], Pi]]]}... skip entries to safe data |
| 4.42.E10 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{a}\cos@@{B} = \cos@@{b}\sin@@{c}-\sin@@{b}\cos@@{c}\cos@@{A}}
\sin@@{a}\cos@@{B} = \cos@@{b}\sin@@{c}-\sin@@{b}\cos@@{c}\cos@@{A} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sin(a)*cos(B) = cos(b)*sin(c)- sin(b)*cos(c)*cos(A) |
Sin[a]*Cos[B] == Cos[b]*Sin[c]- Sin[b]*Cos[c]*Cos[A] |
Failure | Failure | Failed [300 / 300] Result: -.7097001135+.4239639484*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -1.5}Result: -.8508201215+.4239639484*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = 1.5}Result: -1.334305598+.7434385530*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = -.5}Result: -1.402132040+.7434385530*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5, c = .5}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[-0.7097001133469564, 0.4239639481520351]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[c, -1.5]}Result: Complex[-0.8508201214068235, 0.4239639481520351]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[b, -1.5], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[c, 1.5]}... skip entries to safe data |
| 4.42.E11 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{a}\cos@@{C} = \sin@@{a}\cot@@{b}-\sin@@{C}\cot@@{B}}
\cos@@{a}\cos@@{C} = \sin@@{a}\cot@@{b}-\sin@@{C}\cot@@{B} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cos(a)*cos(C) = sin(a)*cot(b)- sin(C)*cot(B) |
Cos[a]*Cos[C] == Sin[a]*Cot[b]- Sin[C]*Cot[B] |
Failure | Failure | Failed [300 / 300] Result: .7114823860-.4250286508*I
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -1.5}Result: .8529567893-.4250286508*I
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, a = -1.5, b = 1.5}Result: -1.043682738-.4250286508*I
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, a = -1.5, b = -.5}Result: 2.608121914-.4250286508*I
Test Values: {B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, a = -1.5, b = .5}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[0.7114823862555057, -0.42502865061548756]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[C, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[0.21981752916457492, 0.9933277802647092]
Test Values: {Rule[a, -1.5], Rule[b, -1.5], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[C, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.42.E12 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{A} = -\cos@@{B}\cos@@{C}+\sin@@{B}\sin@@{C}\cos@@{a}}
\cos@@{A} = -\cos@@{B}\cos@@{C}+\sin@@{B}\sin@@{C}\cos@@{a} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cos(A) = - cos(B)*cos(C)+ sin(B)*sin(C)*cos(a) |
Cos[A] == - Cos[B]*Cos[C]+ Sin[B]*Sin[C]*Cos[a] |
Failure | Failure | Failed [300 / 300] Result: 1.062535945-1.017952978*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, a = -1.5}Result: 1.062535945-1.017952978*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, a = 1.5}Result: .5591646152-1.485905089*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, a = -.5}Result: .5591646152-1.485905089*I
Test Values: {A = 1/2*3^(1/2)+1/2*I, B = 1/2*3^(1/2)+1/2*I, C = 1/2*3^(1/2)+1/2*I, a = .5}... skip entries to safe data |
Failed [300 / 300]
Result: Complex[1.0625359450203713, -1.017952977441946]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[C, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[1.8749374794081675, -0.5777856599721184]
Test Values: {Rule[a, -1.5], Rule[A, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[B, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[C, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.43#Ex1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A = \left(-\tfrac{4}{3}p\right)^{1/2}}
A = \left(-\tfrac{4}{3}p\right)^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | A = (-(4)/(3)*p)^(1/2) |
A == (-Divide[4,3]*p)^(1/2) |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.43#Ex2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B = \left(\tfrac{4}{3}p\right)^{1/2}}
B = \left(\tfrac{4}{3}p\right)^{1/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | B = ((4)/(3)*p)^(1/2) |
B == (Divide[4,3]*p)^(1/2) |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.43.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z^{3}+pz+q = 0}
z^{3}+pz+q = 0 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (z)^(3)+ p*z + q = 0 |
(z)^(3)+ p*z + q == 0 |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.45.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle y = x^{2^{-m}}-1}
y = x^{2^{-m}}-1 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | y = (x)^((2)^(- m))- 1 |
y == (x)^((2)^(- m))- 1 |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.45.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{x} = 2^{m}\ln@{1+y}}
\ln@@{x} = 2^{m}\ln@{1+y} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | ln(x) = (2)^(m)* ln(1 + y) |
Log[x] == (2)^(m)* Log[1 + y] |
Failure | Failure | Failed [54 / 54] Result: 1.791759469-6.283185308*I
Test Values: {x = 1.5, y = -1.5, m = 1}Result: 3.178053830-12.56637062*I
Test Values: {x = 1.5, y = -1.5, m = 2}Result: 5.950642553-25.13274123*I
Test Values: {x = 1.5, y = -1.5, m = 3}Result: -1.427116356
Test Values: {x = 1.5, y = 1.5, m = 1}... skip entries to safe data |
Failed [54 / 54]
Result: Complex[1.791759469228055, -6.283185307179586]
Test Values: {Rule[m, 1], Rule[x, 1.5], Rule[y, -1.5]}Result: Complex[3.1780538303479453, -12.566370614359172]
Test Values: {Rule[m, 2], Rule[x, 1.5], Rule[y, -1.5]}... skip entries to safe data |
| 4.45.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{x} = \ln@@{\xi}+m\ln@@{10}}
\ln@@{x} = \ln@@{\xi}+m\ln@@{10} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | ln(x) = ln(xi)+ m*ln(10) |
Log[x] == Log[\[Xi]]+ m*Log[10] |
Failure | Failure | Failed [90 / 90] Result: -1.897119985-.5235987755*I
Test Values: {x = 1.5, xi = 1/2*3^(1/2)+1/2*I, m = 1}Result: -4.199705078-.5235987755*I
Test Values: {x = 1.5, xi = 1/2*3^(1/2)+1/2*I, m = 2}Result: -6.502290171-.5235987755*I
Test Values: {x = 1.5, xi = 1/2*3^(1/2)+1/2*I, m = 3}Result: -1.897119985-2.094395102*I
Test Values: {x = 1.5, xi = -1/2+1/2*I*3^(1/2), m = 1}... skip entries to safe data |
Failed [90 / 90]
Result: Complex[-1.8971199848858815, -0.5235987755982988]
Test Values: {Rule[m, 1], Rule[x, 1.5], Rule[ξ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[-4.199705077879927, -0.5235987755982988]
Test Values: {Rule[m, 2], Rule[x, 1.5], Rule[ξ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}... skip entries to safe data |
| 4.45#Ex1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m = \floor{\frac{x}{\ln@@{10}}+\frac{1}{2}}}
m = \floor{\frac{x}{\ln@@{10}}+\frac{1}{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | m = floor((x)/(ln(10))+(1)/(2)) |
m == Floor[Divide[x,Log[10]]+Divide[1,2]] |
Failure | Failure | Failed [7 / 9] Result: 1.
Test Values: {x = 1.5, m = 2}Result: 2.
Test Values: {x = 1.5, m = 3}Result: 1.
Test Values: {x = .5, m = 1}Result: 2.
Test Values: {x = .5, m = 2}... skip entries to safe data |
Failed [7 / 9]
Result: 1.0
Test Values: {Rule[m, 2], Rule[x, 1.5]}Result: 2.0
Test Values: {Rule[m, 3], Rule[x, 1.5]}... skip entries to safe data |
| 4.45#Ex2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle y = x-m\ln@@{10}}
y = x-m\ln@@{10} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | y = x - m*ln(10) |
y == x - m*Log[10] |
Failure | Failure | Failed [54 / 54] Result: -.697414907
Test Values: {x = 1.5, y = -1.5, m = 1}Result: 1.605170186
Test Values: {x = 1.5, y = -1.5, m = 2}Result: 3.907755279
Test Values: {x = 1.5, y = -1.5, m = 3}Result: 2.302585093
Test Values: {x = 1.5, y = 1.5, m = 1}... skip entries to safe data |
Failed [54 / 54]
Result: -0.6974149070059541
Test Values: {Rule[m, 1], Rule[x, 1.5], Rule[y, -1.5]}Result: 1.6051701859880918
Test Values: {Rule[m, 2], Rule[x, 1.5], Rule[y, -1.5]}... skip entries to safe data |
| 4.45.E5 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{x} = 10^{m}e^{y}}
e^{x} = 10^{m}e^{y} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | exp(x) = (10)^(m)* exp(y) |
Exp[x] == (10)^(m)* Exp[y] |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.45#Ex3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m = \floor{\xi+\tfrac{1}{2}}}
m = \floor{\xi+\tfrac{1}{2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | m = floor(xi +(1)/(2)) |
m == Floor[\[Xi]+Divide[1,2]] |
Failure | Failure | Failed [26 / 30] Result: 1.
Test Values: {xi = 1/2*3^(1/2)+1/2*I, m = 2}Result: 2.
Test Values: {xi = 1/2*3^(1/2)+1/2*I, m = 3}Result: 1.
Test Values: {xi = -1/2+1/2*I*3^(1/2), m = 1}Result: 2.
Test Values: {xi = -1/2+1/2*I*3^(1/2), m = 2}... skip entries to safe data |
Failed [26 / 30]
Result: 1.0
Test Values: {Rule[m, 2], Rule[ξ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: 2.0
Test Values: {Rule[m, 3], Rule[ξ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}... skip entries to safe data |
| 4.45#Ex4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \theta = \pi(\xi-m)}
\theta = \pi(\xi-m) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | theta = Pi*(xi - m) |
\[Theta] == Pi*(\[Xi]- m) |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.45#Ex5 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{x} = (-1)^{m}\sin@@{\theta}}
\sin@@{x} = (-1)^{m}\sin@@{\theta} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | sin(x) = (- 1)^(m)* sin(theta) |
Sin[x] == (- 1)^(m)* Sin[\[Theta]] |
Failure | Failure | Failed [81 / 90] Result: 1.856475321+.3375964631*I
Test Values: {theta = 1/2*3^(1/2)+1/2*I, x = 1.5, m = 1}Result: .1385146521-.3375964631*I
Test Values: {theta = 1/2*3^(1/2)+1/2*I, x = 1.5, m = 2}Result: 1.856475321+.3375964631*I
Test Values: {theta = 1/2*3^(1/2)+1/2*I, x = 1.5, m = 3}Result: 1.338405873+.3375964631*I
Test Values: {theta = 1/2*3^(1/2)+1/2*I, x = .5, m = 1}... skip entries to safe data |
Failed [81 / 90]
Result: Complex[1.8564753209041922, 0.33759646322287]
Test Values: {Rule[m, 1], Rule[x, 1.5], Rule[θ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[0.13851465230391657, -0.33759646322287]
Test Values: {Rule[m, 2], Rule[x, 1.5], Rule[θ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}... skip entries to safe data |
| 4.45#Ex6 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{x} = (-1)^{m}\cos@@{\theta}}
\cos@@{x} = (-1)^{m}\cos@@{\theta} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | cos(x) = (- 1)^(m)* cos(theta) |
Cos[x] == (- 1)^(m)* Cos[\[Theta]] |
Failure | Failure | Failed [84 / 90] Result: .8012802206-.3969495503*I
Test Values: {theta = 1/2*3^(1/2)+1/2*I, x = 1.5, m = 1}Result: -.6598058172+.3969495503*I
Test Values: {theta = 1/2*3^(1/2)+1/2*I, x = 1.5, m = 2}Result: .8012802206-.3969495503*I
Test Values: {theta = 1/2*3^(1/2)+1/2*I, x = 1.5, m = 3}Result: 1.608125581-.3969495503*I
Test Values: {theta = 1/2*3^(1/2)+1/2*I, x = .5, m = 1}... skip entries to safe data |
Failed [84 / 90]
Result: Complex[0.8012802207249281, -0.3969495502290325]
Test Values: {Rule[m, 1], Rule[x, 1.5], Rule[θ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[-0.6598058173895223, 0.3969495502290325]
Test Values: {Rule[m, 2], Rule[x, 1.5], Rule[θ, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}... skip entries to safe data |
| 4.45.E8 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\atan@@{\frac{x}{1+(1+x^{2})^{1/2}}} = \atan@@{x}}
2\atan@@{\frac{x}{1+(1+x^{2})^{1/2}}} = \atan@@{x} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 < x, x < \infty} | 2*arctan((x)/(1 +(1 + (x)^(2))^(1/2))) = arctan(x) |
2*ArcTan[Divide[x,1 +(1 + (x)^(2))^(1/2)]] == ArcTan[x] |
Successful | Failure | - | Successful [Tested: 3] |
| 4.45.E9 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x_{n} = \frac{x_{n-1}}{1+(1+x^{2}_{n-1})^{1/2}}}
x_{n} = \frac{x_{n-1}}{1+(1+x^{2}_{n-1})^{1/2}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | x[n] = (x[n - 1])/(1 +(1 + (x[n - 1])^(2))^(1/2)) |
Subscript[x, n] == Divide[Subscript[x, n - 1],1 +(1 + (Subscript[x, n - 1])^(2))^(1/2)] |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.45.E10 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atan@@{x} = 2^{n}\atan@@{x_{n}}}
\atan@@{x} = 2^{n}\atan@@{x_{n}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arctan(x) = (2)^(n)* arctan(x[n]) |
ArcTan[x] == (2)^(n)* ArcTan[Subscript[x, n]] |
Failure | Failure | Failed [90 / 90] Result: -.5880026038-.5493061442*I
Test Values: {x = 1.5, x[n] = 1/2*3^(1/2)+1/2*I, n = 1}Result: -2.158798931-1.098612288*I
Test Values: {x = 1.5, x[n] = 1/2*3^(1/2)+1/2*I, n = 2}Result: -5.300391585-2.197224577*I
Test Values: {x = 1.5, x[n] = 1/2*3^(1/2)+1/2*I, n = 3}Result: 2.553590050-1.316957897*I
Test Values: {x = 1.5, x[n] = -1/2+1/2*I*3^(1/2), n = 1}... skip entries to safe data |
Failed [90 / 90]
Result: Complex[-0.5880026035475677, -0.5493061443340551]
Test Values: {Rule[n, 1], Rule[x, 1.5], Rule[Subscript[x, n], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[-2.1587989303424644, -1.0986122886681102]
Test Values: {Rule[n, 2], Rule[x, 1.5], Rule[Subscript[x, n], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}... skip entries to safe data |
| 4.45#Ex7 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x_{1} = 0.90000\dots}
x_{1} = 0.90000\dots |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | x[1] = 0.90000 |
Subscript[x, 1] == 0.90000 |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.45#Ex8 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x_{2} = 0.38373\dots}
x_{2} = 0.38373\dots |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | x[2] = 0.38373 |
Subscript[x, 2] == 0.38373 |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.45#Ex9 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x_{3} = 0.18528\dots}
x_{3} = 0.18528\dots |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | x[3] = 0.18528 |
Subscript[x, 3] == 0.18528 |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.45#Ex10 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x_{4} = 0.09185\dots}
x_{4} = 0.09185\dots |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | x[4] = 0.09185 |
Subscript[x, 4] == 0.09185 |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.45.E13 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atan@@{x} = 16\atan@@{x_{4}}}
\atan@@{x} = 16\atan@@{x_{4}} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | arctan(x) = 16*arctan(x[4]) |
ArcTan[x] == 16*ArcTan[Subscript[x, 4]] |
Failure | Failure | Failed [30 / 30] Result: -11.58357690-4.394449154*I
Test Values: {x = 1.5, x[4] = 1/2*3^(1/2)+1/2*I}Result: 13.54916434-10.53566318*I
Test Values: {x = 1.5, x[4] = -1/2+1/2*I*3^(1/2)}Result: -11.58357690+10.53566318*I
Test Values: {x = 1.5, x[4] = 1/2-1/2*I*3^(1/2)}Result: 13.54916434+4.394449154*I
Test Values: {x = 1.5, x[4] = -1/2*3^(1/2)-1/2*I}... skip entries to safe data |
Failed [30 / 30]
Result: Complex[-11.583576891111845, -4.394449154672441]
Test Values: {Rule[x, 1.5], Rule[Subscript[x, 4], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[13.549164337606502, -10.535663175398536]
Test Values: {Rule[x, 1.5], Rule[Subscript[x, 4], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.45.E13 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 16\atan@@{x_{4}} = 1.46563\dots}
16\atan@@{x_{4}} = 1.46563\dots |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | 16*arctan(x[4]) = 1.46563 |
16*ArcTan[Subscript[x, 4]] == 1.46563 |
Failure | Failure | Failed [10 / 10] Result: 11.10074062+4.394449154*I
Test Values: {x[4] = 1/2*3^(1/2)+1/2*I}Result: -14.03200062+10.53566318*I
Test Values: {x[4] = -1/2+1/2*I*3^(1/2)}Result: 11.10074062-10.53566318*I
Test Values: {x[4] = 1/2-1/2*I*3^(1/2)}Result: -14.03200062-4.394449154*I
Test Values: {x[4] = -1/2*3^(1/2)-1/2*I}... skip entries to safe data |
Failed [10 / 10]
Result: Complex[11.100740614359175, 4.394449154672441]
Test Values: {Rule[Subscript[x, 4], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}Result: Complex[-14.032000614359173, 10.535663175398536]
Test Values: {Rule[Subscript[x, 4], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}... skip entries to safe data |
| 4.45.E15 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{z} = \ln@@{|z|}+i\phase@@{z}}
\ln@@{z} = \ln@@{|z|}+i\phase@@{z} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\pi \leq \phase@@{z}, \phase@@{z} \leq \pi} | ln(z) = ln(abs(z))+ I*argument(z) |
Log[z] == Log[Abs[z]]+ I*Arg[z] |
Failure | Successful | Successful [Tested: 7] | Successful [Tested: 7] |
| 4.45.E16 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle e^{z} = e^{\realpart@@{z}}(\cos@{\imagpart@@{z}}+i\sin@{\imagpart@@{z}})}
e^{z} = e^{\realpart@@{z}}(\cos@{\imagpart@@{z}}+i\sin@{\imagpart@@{z}}) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | exp(z) = exp(Re(z))*(cos(Im(z))+ I*sin(Im(z))) |
Exp[z] == Exp[Re[z]]*(Cos[Im[z]]+ I*Sin[Im[z]]) |
Failure | Successful | Successful [Tested: 7] | Successful [Tested: 7] |