3.12: Difference between revisions

Latest revision as of 11:04, 28 June 2021

DLMF	Formula	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
3.12.E1	${\displaystyle{\displaystyle\pi=3.14159\;26535\;89793\;23846\;\ldots}}$ `\cpi = 3.14159\;26535\;89793\;23846\;\ldots`	Pi = 3.14159265358979323846	Pi == 3.14159265358979323846	Successful	Successful	-	Successful [Tested: 1]
3.12.E2	${\displaystyle{\displaystyle\pi=4\int_{0}^{1}\frac{\mathrm{d}t}{1+t^{2}}}}$ `\cpi = 4\int_{0}^{1}\frac{\diff{t}}{1+t^{2}}`	Pi = 4*int((1)/(1 + (t)^(2)), t = 0..1)	Pi == 4*Integrate[Divide[1,1 + (t)^(2)], {t, 0, 1}, GenerateConditions->None]	Successful	Successful	-	Successful [Tested: 1]
3.12.E3	${\displaystyle{\displaystyle e=2.71828\;18284\;59045\;23536\;\ldots}}$ `e = 2.71828\;18284\;59045\;23536\;\ldots`	exp(1) = 2.71828182845904523536	E == 2.71828182845904523536	Skipped - no semantic math	Skipped - no semantic math	-	-
3.12.E4	${\displaystyle{\displaystyle\gamma=0.57721\;56649\;01532\;86060\;\ldots}}$ `\EulerConstant = 0.57721\;56649\;01532\;86060\;\ldots`	gamma = 0.57721566490153286060	EulerGamma == 0.57721566490153286060	Successful	Successful	-	Successful [Tested: 1]

@@ Line 14: / Line 14: @@
 ! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica
 |-
-| [https://dlmf.nist.gov/3.12.E1 3.12.E1] || [[Item:Q1493|<math>\cpi = 3.14159\;26535\;89793\;23846\;\ldots</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\cpi = 3.14159\;26535\;89793\;23846\;\ldots</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>Pi = 3.14159265358979323846</syntaxhighlight> || <syntaxhighlight lang=mathematica>Pi == 3.14159265358979323846</syntaxhighlight> || Successful || Successful || - || Successful [Tested: 1]
+| [https://dlmf.nist.gov/3.12.E1 3.12.E1] || <math qid="Q1493">\cpi = 3.14159\;26535\;89793\;23846\;\ldots</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\cpi = 3.14159\;26535\;89793\;23846\;\ldots</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>Pi = 3.14159265358979323846</syntaxhighlight> || <syntaxhighlight lang=mathematica>Pi == 3.14159265358979323846</syntaxhighlight> || Successful || Successful || - || Successful [Tested: 1]
 |-
-| [https://dlmf.nist.gov/3.12.E2 3.12.E2] || [[Item:Q1494|<math>\cpi = 4\int_{0}^{1}\frac{\diff{t}}{1+t^{2}}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\cpi = 4\int_{0}^{1}\frac{\diff{t}}{1+t^{2}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>Pi = 4*int((1)/(1 + (t)^(2)), t = 0..1)</syntaxhighlight> || <syntaxhighlight lang=mathematica>Pi == 4*Integrate[Divide[1,1 + (t)^(2)], {t, 0, 1}, GenerateConditions->None]</syntaxhighlight> || Successful || Successful || - || Successful [Tested: 1]
+| [https://dlmf.nist.gov/3.12.E2 3.12.E2] || <math qid="Q1494">\cpi = 4\int_{0}^{1}\frac{\diff{t}}{1+t^{2}}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\cpi = 4\int_{0}^{1}\frac{\diff{t}}{1+t^{2}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>Pi = 4*int((1)/(1 + (t)^(2)), t = 0..1)</syntaxhighlight> || <syntaxhighlight lang=mathematica>Pi == 4*Integrate[Divide[1,1 + (t)^(2)], {t, 0, 1}, GenerateConditions->None]</syntaxhighlight> || Successful || Successful || - || Successful [Tested: 1]
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.12.E3 3.12.E3] || [[Item:Q1495|<math>e = 2.71828\;18284\;59045\;23536\;\ldots</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>e = 2.71828\;18284\;59045\;23536\;\ldots</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">exp(1) = 2.71828182845904523536</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">E == 2.71828182845904523536</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.12.E3 3.12.E3] || <math qid="Q1495">e = 2.71828\;18284\;59045\;23536\;\ldots</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>e = 2.71828\;18284\;59045\;23536\;\ldots</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">exp(1) = 2.71828182845904523536</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">E == 2.71828182845904523536</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |-
-| [https://dlmf.nist.gov/3.12.E4 3.12.E4] || [[Item:Q1496|<math>\EulerConstant = 0.57721\;56649\;01532\;86060\;\ldots</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\EulerConstant = 0.57721\;56649\;01532\;86060\;\ldots</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>gamma = 0.57721566490153286060</syntaxhighlight> || <syntaxhighlight lang=mathematica>EulerGamma == 0.57721566490153286060</syntaxhighlight> || Successful || Successful || - || Successful [Tested: 1]
+| [https://dlmf.nist.gov/3.12.E4 3.12.E4] || <math qid="Q1496">\EulerConstant = 0.57721\;56649\;01532\;86060\;\ldots</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\EulerConstant = 0.57721\;56649\;01532\;86060\;\ldots</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>gamma = 0.57721566490153286060</syntaxhighlight> || <syntaxhighlight lang=mathematica>EulerGamma == 0.57721566490153286060</syntaxhighlight> || Successful || Successful || - || Successful [Tested: 1]
 |}
 </div>

3.12: Difference between revisions

Latest revision as of 11:04, 28 June 2021

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