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| ! DLMF !! Formula !! Constraints !! Maple !! Mathematica !! Symbolic<br>Maple !! Symbolic<br>Mathematica !! Numeric<br>Maple !! Numeric<br>Mathematica
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| | [https://dlmf.nist.gov/1.2.E1 1.2.E1] || [[Item:Q30|<math>\binom{n}{k} = \frac{n!}{(n-k)!k!}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 80%;" inline>\binom{n}{k} = \frac{n!}{(n-k)!k!}</syntaxhighlight> || <math></math> || <syntaxhighlight>binomial(n,k) = (factorial(n))/(factorial(n - k)*factorial(k))</syntaxhighlight> || <syntaxhighlight>Binomial[n,k] == Divide[(n)!,(n - k)!*(k)!]</syntaxhighlight> || Successful || Successful || - || Successful [Tested: 9]
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| | [https://dlmf.nist.gov/1.5.E4 1.5.E4] || [[Item:Q121|<math>\pderiv{f}{y} = D_{y}f</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\pderiv{f}{y} = D_{y}f</syntaxhighlight> || <math></math> || <syntaxhighlight>diff(f, y) = D[y]*f</syntaxhighlight> || <syntaxhighlight>D[f, y] == Subscript[D, y]*f</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [300 / 300]<div class="mw-collapsible-content"><syntaxhighlight>Result: -.5000000004-.8660254040*I
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| Test Values: {f = 1/2*3^(1/2)+1/2*I, y = -1.5, D[y] = 1/2*3^(1/2)+1/2*I}</syntaxhighlight><br><syntaxhighlight>Result: .8660254040-.5000000004*I
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| Test Values: {f = 1/2*3^(1/2)+1/2*I, y = -1.5, D[y] = -1/2+1/2*I*3^(1/2)}</syntaxhighlight><br><syntaxhighlight>Result: -.8660254040+.5000000004*I
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| Test Values: {f = 1/2*3^(1/2)+1/2*I, y = -1.5, D[y] = 1/2-1/2*I*3^(1/2)}</syntaxhighlight><br><syntaxhighlight>Result: .5000000004+.8660254040*I
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| Test Values: {f = 1/2*3^(1/2)+1/2*I, y = -1.5, D[y] = -1/2*3^(1/2)-1/2*I}</syntaxhighlight><br>... skip entries to safe data</div></div> || <div class="toccolours mw-collapsible mw-collapsed">Failed [300 / 300]<div class="mw-collapsible-content"><syntaxhighlight>Result: Complex[-0.5000000000000001, -0.8660254037844386]
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| Test Values: {Rule[f, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[y, -1.5], Rule[Subscript[D, y], Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]}</syntaxhighlight><br><syntaxhighlight>Result: Complex[0.8660254037844387, -0.49999999999999994]
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| Test Values: {Rule[f, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[y, -1.5], Rule[Subscript[D, y], Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]}</syntaxhighlight><br>... skip entries to safe data</div></div>
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