24.12: Difference between revisions

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! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica
! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica
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|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/24.12.E1 24.12.E1] || [[Item:Q7522|<math>\tfrac{1}{2} \leq x_{1}^{(n)}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\tfrac{1}{2} \leq x_{1}^{(n)}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(1)/(2) <= (x[1])^(n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Divide[1,2] <= (Subscript[x, 1])^(n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/24.12.E1 24.12.E1] || <math qid="Q7522">\tfrac{1}{2} \leq x_{1}^{(n)}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\tfrac{1}{2} \leq x_{1}^{(n)}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(1)/(2) <= (x[1])^(n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Divide[1,2] <= (Subscript[x, 1])^(n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/24.12.E2 24.12.E2] || [[Item:Q7523|<math>\frac{3}{4}+\frac{1}{2^{n+2}\pi} < x^{(n)}_{1}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\frac{3}{4}+\frac{1}{2^{n+2}\pi} < x^{(n)}_{1}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(3)/(4)+(1)/((2)^(n + 2)* Pi) < (x[1])^(n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Divide[3,4]+Divide[1,(2)^(n + 2)* Pi] < (Subscript[x, 1])^(n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/24.12.E2 24.12.E2] || <math qid="Q7523">\frac{3}{4}+\frac{1}{2^{n+2}\pi} < x^{(n)}_{1}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\frac{3}{4}+\frac{1}{2^{n+2}\pi} < x^{(n)}_{1}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(3)/(4)+(1)/((2)^(n + 2)* Pi) < (x[1])^(n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Divide[3,4]+Divide[1,(2)^(n + 2)* Pi] < (Subscript[x, 1])^(n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/24.12.E7 24.12.E7] || [[Item:Q7530|<math>\tfrac{1}{2} \leq y^{(n)}_{1}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\tfrac{1}{2} \leq y^{(n)}_{1}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(1)/(2) <= (y[1])^(n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Divide[1,2] <= (Subscript[y, 1])^(n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/24.12.E7 24.12.E7] || <math qid="Q7530">\tfrac{1}{2} \leq y^{(n)}_{1}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\tfrac{1}{2} \leq y^{(n)}_{1}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(1)/(2) <= (y[1])^(n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Divide[1,2] <= (Subscript[y, 1])^(n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/24.12.E9 24.12.E9] || [[Item:Q7532|<math>\frac{3}{2}-\frac{\pi^{n+1}}{3(n!)} < y^{(n)}_{2}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\frac{3}{2}-\frac{\pi^{n+1}}{3(n!)} < y^{(n)}_{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(3)/(2)-((Pi)^(n + 1))/(3*(factorial(n))) < (y[2])^(n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Divide[3,2]-Divide[(Pi)^(n + 1),3*((n)!)] < (Subscript[y, 2])^(n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/24.12.E9 24.12.E9] || <math qid="Q7532">\frac{3}{2}-\frac{\pi^{n+1}}{3(n!)} < y^{(n)}_{2}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\frac{3}{2}-\frac{\pi^{n+1}}{3(n!)} < y^{(n)}_{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(3)/(2)-((Pi)^(n + 1))/(3*(factorial(n))) < (y[2])^(n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Divide[3,2]-Divide[(Pi)^(n + 1),3*((n)!)] < (Subscript[y, 2])^(n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/24.12.E10 24.12.E10] || [[Item:Q7533|<math>\frac{3}{2} < y^{(n)}_{2}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\frac{3}{2} < y^{(n)}_{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(3)/(2) < (y[2])^(n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Divide[3,2] < (Subscript[y, 2])^(n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/24.12.E10 24.12.E10] || <math qid="Q7533">\frac{3}{2} < y^{(n)}_{2}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\frac{3}{2} < y^{(n)}_{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(3)/(2) < (y[2])^(n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Divide[3,2] < (Subscript[y, 2])^(n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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Latest revision as of 12:03, 28 June 2021


DLMF Formula Constraints Maple Mathematica Symbolic
Maple
Symbolic
Mathematica
Numeric
Maple
Numeric
Mathematica
24.12.E1 1 2 x 1 ( n ) 1 2 superscript subscript 𝑥 1 𝑛 {\displaystyle{\displaystyle\tfrac{1}{2}\leq x_{1}^{(n)}}}
\tfrac{1}{2} \leq x_{1}^{(n)}

(1)/(2) <= (x[1])^(n)
Divide[1,2] <= (Subscript[x, 1])^(n)
Skipped - no semantic math Skipped - no semantic math - -
24.12.E2 3 4 + 1 2 n + 2 π < x 1 ( n ) 3 4 1 superscript 2 𝑛 2 𝜋 subscript superscript 𝑥 𝑛 1 {\displaystyle{\displaystyle\frac{3}{4}+\frac{1}{2^{n+2}\pi}<x^{(n)}_{1}}}
\frac{3}{4}+\frac{1}{2^{n+2}\pi} < x^{(n)}_{1}

(3)/(4)+(1)/((2)^(n + 2)* Pi) < (x[1])^(n)
Divide[3,4]+Divide[1,(2)^(n + 2)* Pi] < (Subscript[x, 1])^(n)
Skipped - no semantic math Skipped - no semantic math - -
24.12.E7 1 2 y 1 ( n ) 1 2 subscript superscript 𝑦 𝑛 1 {\displaystyle{\displaystyle\tfrac{1}{2}\leq y^{(n)}_{1}}}
\tfrac{1}{2} \leq y^{(n)}_{1}

(1)/(2) <= (y[1])^(n)
Divide[1,2] <= (Subscript[y, 1])^(n)
Skipped - no semantic math Skipped - no semantic math - -
24.12.E9 3 2 - π n + 1 3 ( n ! ) < y 2 ( n ) 3 2 superscript 𝜋 𝑛 1 3 𝑛 subscript superscript 𝑦 𝑛 2 {\displaystyle{\displaystyle\frac{3}{2}-\frac{\pi^{n+1}}{3(n!)}<y^{(n)}_{2}}}
\frac{3}{2}-\frac{\pi^{n+1}}{3(n!)} < y^{(n)}_{2}

(3)/(2)-((Pi)^(n + 1))/(3*(factorial(n))) < (y[2])^(n)
Divide[3,2]-Divide[(Pi)^(n + 1),3*((n)!)] < (Subscript[y, 2])^(n)
Skipped - no semantic math Skipped - no semantic math - -
24.12.E10 3 2 < y 2 ( n ) 3 2 subscript superscript 𝑦 𝑛 2 {\displaystyle{\displaystyle\frac{3}{2}<y^{(n)}_{2}}}
\frac{3}{2} < y^{(n)}_{2}

(3)/(2) < (y[2])^(n)
Divide[3,2] < (Subscript[y, 2])^(n)
Skipped - no semantic math Skipped - no semantic math - -