14.14: 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
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/14.14#Ex1 14.14#Ex1] || [[Item:Q4842|<math>x_{k} = \tfrac{1}{4}(\nu-\mu-k+1)(\nu+\mu+k)\left(x^{2}-1\right)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>x_{k} = \tfrac{1}{4}(\nu-\mu-k+1)(\nu+\mu+k)\left(x^{2}-1\right)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x[k] = (1)/(4)*(nu - mu - k + 1)*(nu + mu + k)*((x)^(2)- 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[x, k] == Divide[1,4]*(\[Nu]- \[Mu]- k + 1)*(\[Nu]+ \[Mu]+ k)*((x)^(2)- 1)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/14.14#Ex1 14.14#Ex1] || <math qid="Q4842">x_{k} = \tfrac{1}{4}(\nu-\mu-k+1)(\nu+\mu+k)\left(x^{2}-1\right)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>x_{k} = \tfrac{1}{4}(\nu-\mu-k+1)(\nu+\mu+k)\left(x^{2}-1\right)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x[k] = (1)/(4)*(nu - mu - k + 1)*(nu + mu + k)*((x)^(2)- 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[x, k] == Divide[1,4]*(\[Nu]- \[Mu]- k + 1)*(\[Nu]+ \[Mu]+ k)*((x)^(2)- 1)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/14.14#Ex2 14.14#Ex2] || [[Item:Q4843|<math>y_{k} = (\mu+k)x</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>y_{k} = (\mu+k)x</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">y[k] = (mu + k)*x</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[y, k] == (\[Mu]+ k)*x</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/14.14#Ex2 14.14#Ex2] || <math qid="Q4843">y_{k} = (\mu+k)x</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>y_{k} = (\mu+k)x</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">y[k] = (mu + k)*x</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[y, k] == (\[Mu]+ k)*x</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/14.14#Ex3 14.14#Ex3] || [[Item:Q4845|<math>x_{k} = (\nu+\mu+k)(\nu-\mu+k)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>x_{k} = (\nu+\mu+k)(\nu-\mu+k)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x[k] = (nu + mu + k)*(nu - mu + k)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[x, k] == (\[Nu]+ \[Mu]+ k)*(\[Nu]- \[Mu]+ k)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/14.14#Ex3 14.14#Ex3] || <math qid="Q4845">x_{k} = (\nu+\mu+k)(\nu-\mu+k)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>x_{k} = (\nu+\mu+k)(\nu-\mu+k)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x[k] = (nu + mu + k)*(nu - mu + k)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[x, k] == (\[Nu]+ \[Mu]+ k)*(\[Nu]- \[Mu]+ k)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/14.14#Ex4 14.14#Ex4] || [[Item:Q4846|<math>y_{k} = (2\nu+2k+1)x</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>y_{k} = (2\nu+2k+1)x</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">y[k] = (2*nu + 2*k + 1)*x</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[y, k] == (2*\[Nu]+ 2*k + 1)*x</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/14.14#Ex4 14.14#Ex4] || <math qid="Q4846">y_{k} = (2\nu+2k+1)x</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>y_{k} = (2\nu+2k+1)x</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">y[k] = (2*nu + 2*k + 1)*x</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[y, k] == (2*\[Nu]+ 2*k + 1)*x</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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Latest revision as of 11:37, 28 June 2021


DLMF Formula Constraints Maple Mathematica Symbolic
Maple 		Symbolic
Mathematica 		Numeric
Maple 		Numeric
Mathematica
14.14#Ex1 x k = 1 4 ⁢ ( ν - μ - k + 1 ) ⁢ ( ν + μ + k ) ⁢ ( x 2 - 1 ) subscript 𝑥 𝑘 1 4 𝜈 𝜇 𝑘 1 𝜈 𝜇 𝑘 superscript 𝑥 2 1 {\displaystyle{\displaystyle x_{k}=\tfrac{1}{4}(\nu-\mu-k+1)(\nu+\mu+k)\left(x% ^{2}-1\right)}}
x_{k} = \tfrac{1}{4}(\nu-\mu-k+1)(\nu+\mu+k)\left(x^{2}-1\right)		 

x[k] = (1)/(4)*(nu - mu - k + 1)*(nu + mu + k)*((x)^(2)- 1)
 
Subscript[x, k] == Divide[1,4]*(\[Nu]- \[Mu]- k + 1)*(\[Nu]+ \[Mu]+ k)*((x)^(2)- 1)
 Skipped - no semantic math Skipped - no semantic math - -
14.14#Ex2 y k = ( μ + k ) ⁢ x subscript 𝑦 𝑘 𝜇 𝑘 𝑥 {\displaystyle{\displaystyle y_{k}=(\mu+k)x}}
y_{k} = (\mu+k)x		 

y[k] = (mu + k)*x
 
Subscript[y, k] == (\[Mu]+ k)*x
 Skipped - no semantic math Skipped - no semantic math - -
14.14#Ex3 x k = ( ν + μ + k ) ⁢ ( ν - μ + k ) subscript 𝑥 𝑘 𝜈 𝜇 𝑘 𝜈 𝜇 𝑘 {\displaystyle{\displaystyle x_{k}=(\nu+\mu+k)(\nu-\mu+k)}}
x_{k} = (\nu+\mu+k)(\nu-\mu+k)		 

x[k] = (nu + mu + k)*(nu - mu + k)
 
Subscript[x, k] == (\[Nu]+ \[Mu]+ k)*(\[Nu]- \[Mu]+ k)
 Skipped - no semantic math Skipped - no semantic math - -
14.14#Ex4 y k = ( 2 ⁢ ν + 2 ⁢ k + 1 ) ⁢ x subscript 𝑦 𝑘 2 𝜈 2 𝑘 1 𝑥 {\displaystyle{\displaystyle y_{k}=(2\nu+2k+1)x}}
y_{k} = (2\nu+2k+1)x		 

y[k] = (2*nu + 2*k + 1)*x
 
Subscript[y, k] == (2*\[Nu]+ 2*k + 1)*x
 Skipped - no semantic math Skipped - no semantic math - -
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