23.2: 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/23.2.E1 23.2.E1] || [[Item:Q7195|<math>\omega_{1}+\omega_{2}+\omega_{3} = 0</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\omega_{1}+\omega_{2}+\omega_{3} = 0</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">omega[1]+ omega[2]+ omega[3] = 0</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[\[Omega], 1]+ Subscript[\[Omega], 2]+ Subscript[\[Omega], 3] == 0</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/23.2.E1 23.2.E1] || <math qid="Q7195">\omega_{1}+\omega_{2}+\omega_{3} = 0</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\omega_{1}+\omega_{2}+\omega_{3} = 0</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">omega[1]+ omega[2]+ omega[3] = 0</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[\[Omega], 1]+ Subscript[\[Omega], 2]+ Subscript[\[Omega], 3] == 0</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/23.2#Ex1 23.2#Ex1] || [[Item:Q7196|<math>\chi_{1} = a\omega_{1}+b\omega_{3}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\chi_{1} = a\omega_{1}+b\omega_{3}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">chi[1] = a*omega[1]+ b*omega[3]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[\[Chi], 1] == a*Subscript[\[Omega], 1]+ b*Subscript[\[Omega], 3]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/23.2#Ex1 23.2#Ex1] || <math qid="Q7196">\chi_{1} = a\omega_{1}+b\omega_{3}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\chi_{1} = a\omega_{1}+b\omega_{3}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">chi[1] = a*omega[1]+ b*omega[3]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[\[Chi], 1] == a*Subscript[\[Omega], 1]+ b*Subscript[\[Omega], 3]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/23.2#Ex2 23.2#Ex2] || [[Item:Q7197|<math>\chi_{3} = c\omega_{1}+d\omega_{3}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\chi_{3} = c\omega_{1}+d\omega_{3}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">chi[3] = c*omega[1]+ d*omega[3]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[\[Chi], 3] == c*Subscript[\[Omega], 1]+ d*Subscript[\[Omega], 3]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/23.2#Ex2 23.2#Ex2] || <math qid="Q7197">\chi_{3} = c\omega_{1}+d\omega_{3}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\chi_{3} = c\omega_{1}+d\omega_{3}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">chi[3] = c*omega[1]+ d*omega[3]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[\[Chi], 3] == c*Subscript[\[Omega], 1]+ d*Subscript[\[Omega], 3]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/23.2.E3 23.2.E3] || [[Item:Q7198|<math>ad-bc = 1</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>ad-bc = 1</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">a*d - b*c = 1</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">a*d - b*c == 1</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/23.2.E3 23.2.E3] || <math qid="Q7198">ad-bc = 1</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>ad-bc = 1</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">a*d - b*c = 1</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">a*d - b*c == 1</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/23.2.E13 23.2.E13] || [[Item:Q7208|<math>\eta_{1}+\eta_{2}+\eta_{3} = 0</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\eta_{1}+\eta_{2}+\eta_{3} = 0</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">eta[1]+ eta[2]+ eta[3] = 0</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[\[Eta], 1]+ Subscript[\[Eta], 2]+ Subscript[\[Eta], 3] == 0</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/23.2.E13 23.2.E13] || <math qid="Q7208">\eta_{1}+\eta_{2}+\eta_{3} = 0</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\eta_{1}+\eta_{2}+\eta_{3} = 0</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">eta[1]+ eta[2]+ eta[3] = 0</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[\[Eta], 1]+ Subscript[\[Eta], 2]+ Subscript[\[Eta], 3] == 0</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
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| [https://dlmf.nist.gov/23.2.E14 23.2.E14] || [[Item:Q7209|<math>\eta_{3}\omega_{2}-\eta_{2}\omega_{3} = \eta_{2}\omega_{1}-\eta_{1}\omega_{2}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\eta_{3}\omega_{2}-\eta_{2}\omega_{3} = \eta_{2}\omega_{1}-\eta_{1}\omega_{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">eta[3]*omega[2]- eta[2]*omega[3] = eta[2]*omega[1]- eta[1]*omega[2]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[\[Eta], 3]*Subscript[\[Omega], 2]- Subscript[\[Eta], 2]*Subscript[\[Omega], 3] == Subscript[\[Eta], 2]*Subscript[\[Omega], 1]- Subscript[\[Eta], 1]*Subscript[\[Omega], 2]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/23.2.E14 23.2.E14] || <math qid="Q7209">\eta_{3}\omega_{2}-\eta_{2}\omega_{3} = \eta_{2}\omega_{1}-\eta_{1}\omega_{2}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\eta_{3}\omega_{2}-\eta_{2}\omega_{3} = \eta_{2}\omega_{1}-\eta_{1}\omega_{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">eta[3]*omega[2]- eta[2]*omega[3] = eta[2]*omega[1]- eta[1]*omega[2]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[\[Eta], 3]*Subscript[\[Omega], 2]- Subscript[\[Eta], 2]*Subscript[\[Omega], 3] == Subscript[\[Eta], 2]*Subscript[\[Omega], 1]- Subscript[\[Eta], 1]*Subscript[\[Omega], 2]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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Latest revision as of 12:00, 28 June 2021


DLMF Formula Constraints Maple Mathematica Symbolic
Maple 		Symbolic
Mathematica 		Numeric
Maple 		Numeric
Mathematica
23.2.E1 ω 1 + ω 2 + ω 3 = 0 subscript 𝜔 1 subscript 𝜔 2 subscript 𝜔 3 0 {\displaystyle{\displaystyle\omega_{1}+\omega_{2}+\omega_{3}=0}}
\omega_{1}+\omega_{2}+\omega_{3} = 0		 

omega[1]+ omega[2]+ omega[3] = 0
 
Subscript[\[Omega], 1]+ Subscript[\[Omega], 2]+ Subscript[\[Omega], 3] == 0
 Skipped - no semantic math Skipped - no semantic math - -
23.2#Ex1 χ 1 = a ⁢ ω 1 + b ⁢ ω 3 subscript 𝜒 1 𝑎 subscript 𝜔 1 𝑏 subscript 𝜔 3 {\displaystyle{\displaystyle\chi_{1}=a\omega_{1}+b\omega_{3}}}
\chi_{1} = a\omega_{1}+b\omega_{3}		 

chi[1] = a*omega[1]+ b*omega[3]
 
Subscript[\[Chi], 1] == a*Subscript[\[Omega], 1]+ b*Subscript[\[Omega], 3]
 Skipped - no semantic math Skipped - no semantic math - -
23.2#Ex2 χ 3 = c ⁢ ω 1 + d ⁢ ω 3 subscript 𝜒 3 𝑐 subscript 𝜔 1 𝑑 subscript 𝜔 3 {\displaystyle{\displaystyle\chi_{3}=c\omega_{1}+d\omega_{3}}}
\chi_{3} = c\omega_{1}+d\omega_{3}		 

chi[3] = c*omega[1]+ d*omega[3]
 
Subscript[\[Chi], 3] == c*Subscript[\[Omega], 1]+ d*Subscript[\[Omega], 3]
 Skipped - no semantic math Skipped - no semantic math - -
23.2.E3 a ⁢ d - b ⁢ c = 1 𝑎 𝑑 𝑏 𝑐 1 {\displaystyle{\displaystyle ad-bc=1}}
ad-bc = 1		 

a*d - b*c = 1
 
a*d - b*c == 1
 Skipped - no semantic math Skipped - no semantic math - -
23.2.E13 η 1 + η 2 + η 3 = 0 subscript 𝜂 1 subscript 𝜂 2 subscript 𝜂 3 0 {\displaystyle{\displaystyle\eta_{1}+\eta_{2}+\eta_{3}=0}}
\eta_{1}+\eta_{2}+\eta_{3} = 0		 

eta[1]+ eta[2]+ eta[3] = 0
 
Subscript[\[Eta], 1]+ Subscript[\[Eta], 2]+ Subscript[\[Eta], 3] == 0
 Skipped - no semantic math Skipped - no semantic math - -
23.2.E14 η 3 ⁢ ω 2 - η 2 ⁢ ω 3 = η 2 ⁢ ω 1 - η 1 ⁢ ω 2 subscript 𝜂 3 subscript 𝜔 2 subscript 𝜂 2 subscript 𝜔 3 subscript 𝜂 2 subscript 𝜔 1 subscript 𝜂 1 subscript 𝜔 2 {\displaystyle{\displaystyle\eta_{3}\omega_{2}-\eta_{2}\omega_{3}=\eta_{2}% \omega_{1}-\eta_{1}\omega_{2}}}
\eta_{3}\omega_{2}-\eta_{2}\omega_{3} = \eta_{2}\omega_{1}-\eta_{1}\omega_{2}		 

eta[3]*omega[2]- eta[2]*omega[3] = eta[2]*omega[1]- eta[1]*omega[2]
 
Subscript[\[Eta], 3]*Subscript[\[Omega], 2]- Subscript[\[Eta], 2]*Subscript[\[Omega], 3] == Subscript[\[Eta], 2]*Subscript[\[Omega], 1]- Subscript[\[Eta], 1]*Subscript[\[Omega], 2]
 Skipped - no semantic math Skipped - no semantic math - -
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