11.6: 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/11.6#Ex1 11.6#Ex1] || [[Item:Q3984|<math>c_{0}(\lambda) = 1</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>c_{0}(\lambda) = 1</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">c[0](lambda) = 1</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[c, 0][\[Lambda]] == 1</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/11.6#Ex1 11.6#Ex1] || <math qid="Q3984">c_{0}(\lambda) = 1</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>c_{0}(\lambda) = 1</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">c[0](lambda) = 1</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[c, 0][\[Lambda]] == 1</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/11.6#Ex2 11.6#Ex2] || [[Item:Q3985|<math>c_{1}(\lambda) = 2\lambda^{-2}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>c_{1}(\lambda) = 2\lambda^{-2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">c[1](lambda) = 2*(lambda)^(- 2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[c, 1][\[Lambda]] == 2*\[Lambda]^(- 2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/11.6#Ex2 11.6#Ex2] || <math qid="Q3985">c_{1}(\lambda) = 2\lambda^{-2}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>c_{1}(\lambda) = 2\lambda^{-2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">c[1](lambda) = 2*(lambda)^(- 2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[c, 1][\[Lambda]] == 2*\[Lambda]^(- 2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/11.6#Ex3 11.6#Ex3] || [[Item:Q3986|<math>c_{2}(\lambda) = 6\lambda^{-4}-\tfrac{1}{2}\lambda^{-2}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>c_{2}(\lambda) = 6\lambda^{-4}-\tfrac{1}{2}\lambda^{-2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">c[2](lambda) = 6*(lambda)^(- 4)-(1)/(2)*(lambda)^(- 2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[c, 2][\[Lambda]] == 6*\[Lambda]^(- 4)-Divide[1,2]*\[Lambda]^(- 2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/11.6#Ex3 11.6#Ex3] || <math qid="Q3986">c_{2}(\lambda) = 6\lambda^{-4}-\tfrac{1}{2}\lambda^{-2}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>c_{2}(\lambda) = 6\lambda^{-4}-\tfrac{1}{2}\lambda^{-2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">c[2](lambda) = 6*(lambda)^(- 4)-(1)/(2)*(lambda)^(- 2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[c, 2][\[Lambda]] == 6*\[Lambda]^(- 4)-Divide[1,2]*\[Lambda]^(- 2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/11.6#Ex4 11.6#Ex4] || [[Item:Q3987|<math>c_{3}(\lambda) = 20\lambda^{-6}-4\lambda^{-4}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>c_{3}(\lambda) = 20\lambda^{-6}-4\lambda^{-4}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">c[3](lambda) = 20*(lambda)^(- 6)- 4*(lambda)^(- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[c, 3][\[Lambda]] == 20*\[Lambda]^(- 6)- 4*\[Lambda]^(- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/11.6#Ex4 11.6#Ex4] || <math qid="Q3987">c_{3}(\lambda) = 20\lambda^{-6}-4\lambda^{-4}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>c_{3}(\lambda) = 20\lambda^{-6}-4\lambda^{-4}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">c[3](lambda) = 20*(lambda)^(- 6)- 4*(lambda)^(- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[c, 3][\[Lambda]] == 20*\[Lambda]^(- 6)- 4*\[Lambda]^(- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/11.6#Ex5 11.6#Ex5] || [[Item:Q3988|<math>c_{4}(\lambda) = 70\lambda^{-8}-\tfrac{45}{2}\lambda^{-6}+\tfrac{3}{8}\lambda^{-4}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>c_{4}(\lambda) = 70\lambda^{-8}-\tfrac{45}{2}\lambda^{-6}+\tfrac{3}{8}\lambda^{-4}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">c[4](lambda) = 70*(lambda)^(- 8)-(45)/(2)*(lambda)^(- 6)+(3)/(8)*(lambda)^(- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[c, 4][\[Lambda]] == 70*\[Lambda]^(- 8)-Divide[45,2]*\[Lambda]^(- 6)+Divide[3,8]*\[Lambda]^(- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/11.6#Ex5 11.6#Ex5] || <math qid="Q3988">c_{4}(\lambda) = 70\lambda^{-8}-\tfrac{45}{2}\lambda^{-6}+\tfrac{3}{8}\lambda^{-4}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>c_{4}(\lambda) = 70\lambda^{-8}-\tfrac{45}{2}\lambda^{-6}+\tfrac{3}{8}\lambda^{-4}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">c[4](lambda) = 70*(lambda)^(- 8)-(45)/(2)*(lambda)^(- 6)+(3)/(8)*(lambda)^(- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[c, 4][\[Lambda]] == 70*\[Lambda]^(- 8)-Divide[45,2]*\[Lambda]^(- 6)+Divide[3,8]*\[Lambda]^(- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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Latest revision as of 11:29, 28 June 2021


DLMF Formula Constraints Maple Mathematica Symbolic
Maple 		Symbolic
Mathematica 		Numeric
Maple 		Numeric
Mathematica
11.6#Ex1 c 0 ⁢ ( λ ) = 1 subscript 𝑐 0 𝜆 1 {\displaystyle{\displaystyle c_{0}(\lambda)=1}}
c_{0}(\lambda) = 1		 

c[0](lambda) = 1
 
Subscript[c, 0][\[Lambda]] == 1
 Skipped - no semantic math Skipped - no semantic math - -
11.6#Ex2 c 1 ⁢ ( λ ) = 2 ⁢ λ - 2 subscript 𝑐 1 𝜆 2 superscript 𝜆 2 {\displaystyle{\displaystyle c_{1}(\lambda)=2\lambda^{-2}}}
c_{1}(\lambda) = 2\lambda^{-2}		 

c[1](lambda) = 2*(lambda)^(- 2)
 
Subscript[c, 1][\[Lambda]] == 2*\[Lambda]^(- 2)
 Skipped - no semantic math Skipped - no semantic math - -
11.6#Ex3 c 2 ⁢ ( λ ) = 6 ⁢ λ - 4 - 1 2 ⁢ λ - 2 subscript 𝑐 2 𝜆 6 superscript 𝜆 4 1 2 superscript 𝜆 2 {\displaystyle{\displaystyle c_{2}(\lambda)=6\lambda^{-4}-\tfrac{1}{2}\lambda^% {-2}}}
c_{2}(\lambda) = 6\lambda^{-4}-\tfrac{1}{2}\lambda^{-2}		 

c[2](lambda) = 6*(lambda)^(- 4)-(1)/(2)*(lambda)^(- 2)
 
Subscript[c, 2][\[Lambda]] == 6*\[Lambda]^(- 4)-Divide[1,2]*\[Lambda]^(- 2)
 Skipped - no semantic math Skipped - no semantic math - -
11.6#Ex4 c 3 ⁢ ( λ ) = 20 ⁢ λ - 6 - 4 ⁢ λ - 4 subscript 𝑐 3 𝜆 20 superscript 𝜆 6 4 superscript 𝜆 4 {\displaystyle{\displaystyle c_{3}(\lambda)=20\lambda^{-6}-4\lambda^{-4}}}
c_{3}(\lambda) = 20\lambda^{-6}-4\lambda^{-4}		 

c[3](lambda) = 20*(lambda)^(- 6)- 4*(lambda)^(- 4)
 
Subscript[c, 3][\[Lambda]] == 20*\[Lambda]^(- 6)- 4*\[Lambda]^(- 4)
 Skipped - no semantic math Skipped - no semantic math - -
11.6#Ex5 c 4 ⁢ ( λ ) = 70 ⁢ λ - 8 - 45 2 ⁢ λ - 6 + 3 8 ⁢ λ - 4 subscript 𝑐 4 𝜆 70 superscript 𝜆 8 45 2 superscript 𝜆 6 3 8 superscript 𝜆 4 {\displaystyle{\displaystyle c_{4}(\lambda)=70\lambda^{-8}-\tfrac{45}{2}% \lambda^{-6}+\tfrac{3}{8}\lambda^{-4}}}
c_{4}(\lambda) = 70\lambda^{-8}-\tfrac{45}{2}\lambda^{-6}+\tfrac{3}{8}\lambda^{-4}		 

c[4](lambda) = 70*(lambda)^(- 8)-(45)/(2)*(lambda)^(- 6)+(3)/(8)*(lambda)^(- 4)
 
Subscript[c, 4][\[Lambda]] == 70*\[Lambda]^(- 8)-Divide[45,2]*\[Lambda]^(- 6)+Divide[3,8]*\[Lambda]^(- 4)
 Skipped - no semantic math Skipped - no semantic math - -
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