21.9: Difference between revisions

Latest revision as of 11:56, 28 June 2021

DLMF	Formula	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
21.9.E1	${\displaystyle{\displaystyle 4u_{t}=6uu_{x}+u_{xxx}}}$ `4u_{t} = 6uu_{x}+u_{xxx}`	4u[t] = 6u*u[x]+ u[x, x, x]	4Subscript[u, t] == 6u*Subscript[u, x]+ Subscript[u, x, x, x]	Skipped - no semantic math	Skipped - no semantic math	-	-
21.9.E2	${\displaystyle{\displaystyle iu_{t}=-\tfrac{1}{2}u_{xx}+\|u\|^{2}u}}$ `iu_{t} = -\tfrac{1}{2}u_{xx}+\|u\|^{2}u`	Iu[t] = -(1)/(2)u[x, x]+(abs(u))^(2)* u	ISubscript[u, t] == -Divide[1,2]Subscript[u, x, x]+(Abs[u])^(2)* u	Skipped - no semantic math	Skipped - no semantic math	-	-
21.9.E3	${\displaystyle{\displaystyle(-4u_{t}+6uu_{x}+u_{xxx})_{x}+3u_{yy}=0}}$ `(-4u_{t}+6uu_{x}+u_{xxx})_{x}+3u_{yy} = 0`	- 4u[t]+ 6uu[x]+ u[x, x, x][x]+ 3u[y, y] = 0	Subscript[- 4Subscript[u, t]+ 6uSubscript[u, x]+ Subscript[u, x, x, x], x]+ 3Subscript[u, y, y] == 0	Skipped - no semantic math	Skipped - no semantic math	-	-
21.9.E4	${\displaystyle{\displaystyle u(x,y,t)=c+2\frac{{\partial}^{2}}{{\partial x}^{2% }}\ln\left(\theta\left(\mathbf{k}x+\mathbf{l}y+\boldsymbol{{\omega}}t+% \boldsymbol{{\phi}}\middle\|\boldsymbol{{\Omega}}\right)\right)}}$ `u(x,y,t) = c+2\pderiv[2]{}{x}\ln@{\Riemanntheta@{\mathbf{k}x+\mathbf{l}y+\boldsymbol{{\omega}}t+\boldsymbol{{\phi}}}{\boldsymbol{{\Omega}}}}`	u(x , y , t) = c + 2diff(ln(RiemannTheta(kx + ly + omegat + phi, Omega)), [x$(2)])	Error	Missing Macro Error	Missing Macro Error	-	-

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 ! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/21.9.E1 21.9.E1] || [[Item:Q6917|<math>4u_{t} = 6uu_{x}+u_{xxx}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>4u_{t} = 6uu_{x}+u_{xxx}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">4*u[t] = 6*u*u[x]+ u[x, x, x]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">4*Subscript[u, t] == 6*u*Subscript[u, x]+ Subscript[u, x, x, x]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/21.9.E1 21.9.E1] || <math qid="Q6917">4u_{t} = 6uu_{x}+u_{xxx}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>4u_{t} = 6uu_{x}+u_{xxx}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">4*u[t] = 6*u*u[x]+ u[x, x, x]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">4*Subscript[u, t] == 6*u*Subscript[u, x]+ Subscript[u, x, x, x]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/21.9.E2 21.9.E2] || [[Item:Q6918|<math>iu_{t} = -\tfrac{1}{2}u_{xx}+|u|^{2}u</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>iu_{t} = -\tfrac{1}{2}u_{xx}+|u|^{2}u</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">I*u[t] = -(1)/(2)*u[x, x]+(abs(u))^(2)* u</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">I*Subscript[u, t] == -Divide[1,2]*Subscript[u, x, x]+(Abs[u])^(2)* u</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/21.9.E2 21.9.E2] || <math qid="Q6918">iu_{t} = -\tfrac{1}{2}u_{xx}+|u|^{2}u</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>iu_{t} = -\tfrac{1}{2}u_{xx}+|u|^{2}u</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">I*u[t] = -(1)/(2)*u[x, x]+(abs(u))^(2)* u</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">I*Subscript[u, t] == -Divide[1,2]*Subscript[u, x, x]+(Abs[u])^(2)* u</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/21.9.E3 21.9.E3] || [[Item:Q6919|<math>(-4u_{t}+6uu_{x}+u_{xxx})_{x}+3u_{yy} = 0</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>(-4u_{t}+6uu_{x}+u_{xxx})_{x}+3u_{yy} = 0</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">- 4*u[t]+ 6*u*u[x]+ u[x, x, x][x]+ 3*u[y, y] = 0</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[- 4*Subscript[u, t]+ 6*u*Subscript[u, x]+ Subscript[u, x, x, x], x]+ 3*Subscript[u, y, y] == 0</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/21.9.E3 21.9.E3] || <math qid="Q6919">(-4u_{t}+6uu_{x}+u_{xxx})_{x}+3u_{yy} = 0</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>(-4u_{t}+6uu_{x}+u_{xxx})_{x}+3u_{yy} = 0</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">- 4*u[t]+ 6*u*u[x]+ u[x, x, x][x]+ 3*u[y, y] = 0</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[- 4*Subscript[u, t]+ 6*u*Subscript[u, x]+ Subscript[u, x, x, x], x]+ 3*Subscript[u, y, y] == 0</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |-
-| [https://dlmf.nist.gov/21.9.E4 21.9.E4] || [[Item:Q6920|<math>u(x,y,t) = c+2\pderiv[2]{}{x}\ln@{\Riemanntheta@{\mathbf{k}x+\mathbf{l}y+\boldsymbol{{\omega}}t+\boldsymbol{{\phi}}}{\boldsymbol{{\Omega}}}}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>u(x,y,t) = c+2\pderiv[2]{}{x}\ln@{\Riemanntheta@{\mathbf{k}x+\mathbf{l}y+\boldsymbol{{\omega}}t+\boldsymbol{{\phi}}}{\boldsymbol{{\Omega}}}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>u(x , y , t) = c + 2*diff(ln(RiemannTheta(k*x + l*y + omega*t + phi, Omega)), [x$(2)])</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Missing Macro Error || Missing Macro Error || - || -
+| [https://dlmf.nist.gov/21.9.E4 21.9.E4] || <math qid="Q6920">u(x,y,t) = c+2\pderiv[2]{}{x}\ln@{\Riemanntheta@{\mathbf{k}x+\mathbf{l}y+\boldsymbol{{\omega}}t+\boldsymbol{{\phi}}}{\boldsymbol{{\Omega}}}}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>u(x,y,t) = c+2\pderiv[2]{}{x}\ln@{\Riemanntheta@{\mathbf{k}x+\mathbf{l}y+\boldsymbol{{\omega}}t+\boldsymbol{{\phi}}}{\boldsymbol{{\Omega}}}}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>u(x , y , t) = c + 2*diff(ln(RiemannTheta(k*x + l*y + omega*t + phi, Omega)), [x$(2)])</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Missing Macro Error || Missing Macro Error || - || -
 |}
 </div>

21.9: Difference between revisions

Latest revision as of 11:56, 28 June 2021

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