Jump to navigation
Jump to search
General
Display information for equation id:math.2104.19 on revision:2104
* Page found: TCP- Invarianz (eq math.2104.19)
(force rerendering)Occurrences on the following pages:
Hash: d6b9b50a75b4a0b4d9387831caa603ef
TeX (original user input):
P:\left\{ \frac{\partial }{\partial t}\rho +{{\nabla }_{r}}\cdot \bar{j}=0 \right\}\to \left\{ \frac{\partial }{\partial t}\rho +{{\nabla }_{r}}\cdot \bar{j}=0 \right\}
TeX (checked):
P:\left\{{\frac {\partial }{\partial t}}\rho +{{\nabla }_{r}}\cdot {\bar {j}}=0\right\}\to \left\{{\frac {\partial }{\partial t}}\rho +{{\nabla }_{r}}\cdot {\bar {j}}=0\right\}
LaTeXML (experimental; uses MathML) rendering
MathML (7.407 KB / 1.319 KB) :
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle P:\left\{\frac{\partial}{\partial t}\rho+{{\nabla% }_{r}}\cdot\bar{j}=0\right\}\to\left\{\frac{\partial}{\partial t}\rho+{{\nabla% }_{r}}\cdot\bar{j}=0\right\}}}" display="inline">
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1b">
<mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">P</mi>
<mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">:</mo>
<mrow id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">
<mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">{</mo>
<mstyle displaystyle="true" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
<mfrac id="p1.1.m1.1.4a" xref="p1.1.m1.1.4.cmml">
<mo id="p1.1.m1.1.4.2" xref="p1.1.m1.1.4.2.cmml">∂</mo>
<mrow id="p1.1.m1.1.4.3" xref="p1.1.m1.1.4.3.cmml">
<mo id="p1.1.m1.1.4.3.1" xref="p1.1.m1.1.4.3.1.cmml">∂</mo>
<mo id="p1.1.m1.1.4.3a" xref="p1.1.m1.1.4.3.cmml"></mo>
<mi id="p1.1.m1.1.4.3.2" xref="p1.1.m1.1.4.3.2.cmml">t</mi>
</mrow>
</mfrac>
</mstyle>
<mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">ρ</mi>
<mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">+</mo>
<msub id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">
<mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">∇</mo>
<mi id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">r</mi>
</msub>
<mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">⋅</mo>
<mover accent="true" id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">
<mi id="p1.1.m1.1.10.2" xref="p1.1.m1.1.10.2.cmml">j</mi>
<mo stretchy="false" id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">¯</mo>
</mover>
<mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">=</mo>
<mn id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">0</mn>
<mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">}</mo>
</mrow>
<mo id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">→</mo>
<mrow id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">
<mo id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">{</mo>
<mstyle displaystyle="true" id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">
<mfrac id="p1.1.m1.1.16a" xref="p1.1.m1.1.16.cmml">
<mo id="p1.1.m1.1.16.2" xref="p1.1.m1.1.16.2.cmml">∂</mo>
<mrow id="p1.1.m1.1.16.3" xref="p1.1.m1.1.16.3.cmml">
<mo id="p1.1.m1.1.16.3.1" xref="p1.1.m1.1.16.3.1.cmml">∂</mo>
<mo id="p1.1.m1.1.16.3a" xref="p1.1.m1.1.16.3.cmml"></mo>
<mi id="p1.1.m1.1.16.3.2" xref="p1.1.m1.1.16.3.2.cmml">t</mi>
</mrow>
</mfrac>
</mstyle>
<mi id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">ρ</mi>
<mo id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">+</mo>
<msub id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">
<mo id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">∇</mo>
<mi id="p1.1.m1.1.20.1" xref="p1.1.m1.1.20.1.cmml">r</mi>
</msub>
<mo id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">⋅</mo>
<mover accent="true" id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">
<mi id="p1.1.m1.1.22.2" xref="p1.1.m1.1.22.2.cmml">j</mi>
<mo stretchy="false" id="p1.1.m1.1.22.1" xref="p1.1.m1.1.22.1.cmml">¯</mo>
</mover>
<mo id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">=</mo>
<mn id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">0</mn>
<mo id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">}</mo>
</mrow>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1c">
<cerror id="p1.1.m1.1d">
<csymbol cd="ambiguous" id="p1.1.m1.1e">fragments</csymbol>
<csymbol cd="unknown" id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">P</csymbol>
<ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">:</ci>
<cerror id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">
<csymbol cd="ambiguous" id="p1.1.m1.1.8a.cmml" xref="p1.1.m1.1.8">fragments</csymbol>
<ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">{</ci>
<apply id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
<divide id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4"/>
<partialdiff id="p1.1.m1.1.4.2.cmml" xref="p1.1.m1.1.4.2"/>
<apply id="p1.1.m1.1.4.3.cmml" xref="p1.1.m1.1.4.3">
<partialdiff id="p1.1.m1.1.4.3.1.cmml" xref="p1.1.m1.1.4.3.1"/>
<ci id="p1.1.m1.1.4.3.2.cmml" xref="p1.1.m1.1.4.3.2">𝑡</ci>
</apply>
</apply>
<csymbol cd="unknown" id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">ρ</csymbol>
<plus id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
<apply id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26">
<csymbol cd="ambiguous" id="p1.1.m1.1.26.1.cmml" xref="p1.1.m1.1.26">subscript</csymbol>
<ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">∇</ci>
<ci id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">𝑟</ci>
</apply>
<ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">⋅</ci>
<apply id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">
<ci id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">¯</ci>
<ci id="p1.1.m1.1.10.2.cmml" xref="p1.1.m1.1.10.2">𝑗</ci>
</apply>
<eq id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"/>
<cn type="integer" id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">0</cn>
<ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">}</ci>
</cerror>
<ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">→</ci>
<cerror id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">
<csymbol cd="ambiguous" id="p1.1.m1.1.20a.cmml" xref="p1.1.m1.1.20">fragments</csymbol>
<ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">{</ci>
<apply id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">
<divide id="p1.1.m1.1.16.1.cmml" xref="p1.1.m1.1.16"/>
<partialdiff id="p1.1.m1.1.16.2.cmml" xref="p1.1.m1.1.16.2"/>
<apply id="p1.1.m1.1.16.3.cmml" xref="p1.1.m1.1.16.3">
<partialdiff id="p1.1.m1.1.16.3.1.cmml" xref="p1.1.m1.1.16.3.1"/>
<ci id="p1.1.m1.1.16.3.2.cmml" xref="p1.1.m1.1.16.3.2">𝑡</ci>
</apply>
</apply>
<csymbol cd="unknown" id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">ρ</csymbol>
<plus id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18"/>
<apply id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27">
<csymbol cd="ambiguous" id="p1.1.m1.1.27.1.cmml" xref="p1.1.m1.1.27">subscript</csymbol>
<ci id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">∇</ci>
<ci id="p1.1.m1.1.20.1.cmml" xref="p1.1.m1.1.20.1">𝑟</ci>
</apply>
<ci id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">⋅</ci>
<apply id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">
<ci id="p1.1.m1.1.22.1.cmml" xref="p1.1.m1.1.22.1">¯</ci>
<ci id="p1.1.m1.1.22.2.cmml" xref="p1.1.m1.1.22.2">𝑗</ci>
</apply>
<eq id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23"/>
<cn type="integer" id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">0</cn>
<ci id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">}</ci>
</cerror>
</cerror>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle P:\left\{\frac{\partial}{\partial t}\rho+{{\nabla%
}_{r}}\cdot\bar{j}=0\right\}\to\left\{\frac{\partial}{\partial t}\rho+{{\nabla%
}_{r}}\cdot\bar{j}=0\right\}}}</annotation>
</semantics>
</math>
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimental; no images) rendering
MathML (1.368 KB / 337 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>P</mi><mi>:</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mi>ρ</mi><mo>+</mo><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo>⋅</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>j</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mn>0</mn><mo data-mjx-texclass="CLOSE">}</mo></mrow><mo accent="false">→</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mi>ρ</mi><mo>+</mo><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo>⋅</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>j</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mn>0</mn><mo data-mjx-texclass="CLOSE">}</mo></mrow></mstyle></mrow></math>
Translations to Computer Algebra Systems
Translation to Maple
In Maple:
Translation to Mathematica
In Mathematica:
Similar pages
Calculated based on the variables occurring on the entire TCP- Invarianz page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results