General Display information for equation id:math.2137.68 on revision:2137
* Page found: Wellenoptik und Beugung (eq math.2137.68)
(force rerendering) Occurrences on the following pages:
Hash: a468345b05cbe8707e6af37a96110639
TeX (original user input):
\nabla {}^ \text { 2} +k{}^ \text { 2} )\, U(\bar { r} )=0
TeX (checked):
\nabla {}^{ \text { 2}} +k{}^{ \text { 2}} )\, U({ \bar { r}} )=0
LaTeXML (experimentell; verwendet MathML) rendering Ausklappen MathML (4.158 KB / 914 B) :
(
∇
+
2
k
)
2
U
(
r
¯
)
=
0
fragments
fragments
(
∇
superscript
2
k
superscript
)
2
U
fragments
(
¯
𝑟
)
0
{\displaystyle{\displaystyle(\nabla{}^{\text{2}}+k{}^{\text{2}})\,U(\bar{r})=0}}
<math xmlns= "http://www.w3.org/1998/Math/MathML" id= "p1.1.m1.1" class= "ltx_Math" alttext= "{\displaystyle{\displaystyle(\nabla{}^{\text{2}}+k{}^{\text{2}})\,U(\bar{r})=0}}" display= "inline" >
<semantics id= "p1.1.m1.1a" >
<mrow id= "p1.1.m1.1b" >
<mrow id= "p1.1.m1.1.3" xref= "p1.1.m1.1.3.cmml" >
<mo stretchy= "false" id= "p1.1.m1.1.1" xref= "p1.1.m1.1.1.cmml" > (</mo>
<mo id= "p1.1.m1.1.2" xref= "p1.1.m1.1.2.cmml" > ∇</mo>
<mmultiscripts id= "p1.1.m1.1.15" xref= "p1.1.m1.1.15.cmml" >
<mo id= "p1.1.m1.1.4" xref= "p1.1.m1.1.4.cmml" > +</mo>
<mprescripts id= "p1.1.m1.1.15a" xref= "p1.1.m1.1.15.cmml" />
<none id= "p1.1.m1.1.15b" xref= "p1.1.m1.1.15.cmml" />
<mtext id= "p1.1.m1.1.3.1" xref= "p1.1.m1.1.3.1a.cmml" > 2</mtext>
</mmultiscripts>
<mi id= "p1.1.m1.1.5" xref= "p1.1.m1.1.5.cmml" > k</mi>
<mmultiscripts id= "p1.1.m1.1.16" xref= "p1.1.m1.1.16.cmml" >
<mo rspace= "4.2pt" stretchy= "false" id= "p1.1.m1.1.7" xref= "p1.1.m1.1.7.cmml" > )</mo>
<mprescripts id= "p1.1.m1.1.16a" xref= "p1.1.m1.1.16.cmml" />
<none id= "p1.1.m1.1.16b" xref= "p1.1.m1.1.16.cmml" />
<mtext id= "p1.1.m1.1.6.1" xref= "p1.1.m1.1.6.1a.cmml" > 2</mtext>
</mmultiscripts>
</mrow>
<mi id= "p1.1.m1.1.9" xref= "p1.1.m1.1.9.cmml" > U</mi>
<mrow id= "p1.1.m1.1.6" xref= "p1.1.m1.1.6.cmml" >
<mo stretchy= "false" id= "p1.1.m1.1.10" xref= "p1.1.m1.1.10.cmml" > (</mo>
<mover accent= "true" id= "p1.1.m1.1.11" xref= "p1.1.m1.1.11.cmml" >
<mi id= "p1.1.m1.1.11.2" xref= "p1.1.m1.1.11.2.cmml" > r</mi>
<mo stretchy= "false" id= "p1.1.m1.1.11.1" xref= "p1.1.m1.1.11.1.cmml" > ¯</mo>
</mover>
<mo stretchy= "false" id= "p1.1.m1.1.12" xref= "p1.1.m1.1.12.cmml" > )</mo>
</mrow>
<mo id= "p1.1.m1.1.13" xref= "p1.1.m1.1.13.cmml" > =</mo>
<mn id= "p1.1.m1.1.14" xref= "p1.1.m1.1.14.cmml" > 0</mn>
</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>
<cerror id= "p1.1.m1.1.3.cmml" xref= "p1.1.m1.1.3" >
<csymbol cd= "ambiguous" id= "p1.1.m1.1.3a.cmml" xref= "p1.1.m1.1.3" > fragments</csymbol>
<ci id= "p1.1.m1.1.1.cmml" xref= "p1.1.m1.1.1" > (</ci>
<ci id= "p1.1.m1.1.2.cmml" xref= "p1.1.m1.1.2" > ∇</ci>
<apply id= "p1.1.m1.1.15.cmml" xref= "p1.1.m1.1.15" >
<csymbol cd= "ambiguous" id= "p1.1.m1.1.15.1.cmml" xref= "p1.1.m1.1.15" > superscript</csymbol>
<plus id= "p1.1.m1.1.4.cmml" xref= "p1.1.m1.1.4" />
<ci id= "p1.1.m1.1.3.1a.cmml" xref= "p1.1.m1.1.3.1" >
<mtext mathsize= "70%" id= "p1.1.m1.1.3.1.cmml" xref= "p1.1.m1.1.3.1" > 2</mtext>
</ci>
</apply>
<csymbol cd= "unknown" id= "p1.1.m1.1.5.cmml" xref= "p1.1.m1.1.5" > k</csymbol>
<apply id= "p1.1.m1.1.16.cmml" xref= "p1.1.m1.1.16" >
<csymbol cd= "ambiguous" id= "p1.1.m1.1.16.1.cmml" xref= "p1.1.m1.1.16" > superscript</csymbol>
<ci id= "p1.1.m1.1.7.cmml" xref= "p1.1.m1.1.7" > )</ci>
<ci id= "p1.1.m1.1.6.1a.cmml" xref= "p1.1.m1.1.6.1" >
<mtext mathsize= "70%" id= "p1.1.m1.1.6.1.cmml" xref= "p1.1.m1.1.6.1" > 2</mtext>
</ci>
</apply>
</cerror>
<csymbol cd= "unknown" id= "p1.1.m1.1.9.cmml" xref= "p1.1.m1.1.9" > U</csymbol>
<cerror id= "p1.1.m1.1.6.cmml" xref= "p1.1.m1.1.6" >
<csymbol cd= "ambiguous" id= "p1.1.m1.1.6a.cmml" xref= "p1.1.m1.1.6" > fragments</csymbol>
<ci id= "p1.1.m1.1.10.cmml" xref= "p1.1.m1.1.10" > (</ci>
<apply id= "p1.1.m1.1.11.cmml" xref= "p1.1.m1.1.11" >
<ci id= "p1.1.m1.1.11.1.cmml" xref= "p1.1.m1.1.11.1" > ¯</ci>
<ci id= "p1.1.m1.1.11.2.cmml" xref= "p1.1.m1.1.11.2" > 𝑟</ci>
</apply>
<ci id= "p1.1.m1.1.12.cmml" xref= "p1.1.m1.1.12" > )</ci>
</cerror>
<eq id= "p1.1.m1.1.13.cmml" xref= "p1.1.m1.1.13" />
<cn type= "integer" id= "p1.1.m1.1.14.cmml" xref= "p1.1.m1.1.14" > 0</cn>
</cerror>
</annotation-xml>
<annotation encoding= "application/x-tex" id= "p1.1.m1.1f" > {\displaystyle{\displaystyle(\nabla{}^{\text{2}}+k{}^{\text{2}})\,U(\bar{r})=0}}</annotation>
</semantics>
</math>
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimentell; keine Bilder) rendering Ausklappen MathML (726 B / 291 B) :
( ∇ 2 + k 2 ) U ( r ¯ ) = 0 <math class= "mwe-math-element" xmlns= "http://www.w3.org/1998/Math/MathML" ><mrow data-mjx-texclass= "ORD" ><mstyle displaystyle= "true" scriptlevel= "0" ><mo stretchy= "false" > (</mo><mi mathvariant= "normal" > ∇ </mi><msup><mi/><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mtext> 2</mtext></mrow></mrow></msup><mo> +</mo><mi> k</mi><msup><mi/><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mtext> 2</mtext></mrow></mrow></msup><mo stretchy= "false" > )</mo><mspace width= "0.167em" ></mspace><mi> U</mi><mo stretchy= "false" > (</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mo stretchy= "false" > )</mo><mo> =</mo><mn> 0</mn></mstyle></mrow></math>
Translations to Computer Algebra Systems Translation to Maple Translation to Mathematica Ausklappen In Mathematica:
Similar pages Calculated based on the variables occurring on the entire Wellenoptik und Beugung page
Identifiers MathML observations 0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results
