Jump to navigation Jump to search

General

Display information for equation id:math.221453.0 on revision:221453

* Page found: Laplace's equation (eq math.221453.0)

(force rerendering)

Cannot find the equation data in the database. Fetching from revision text.

Occurrences on the following pages:

Hash: 0524752d4583f0d7a38a1cdd84886fed

TeX (original user input):

 \nabla^2 \varphi = 0  \qquad\mbox{or}\qquad \Delta\varphi = 0

TeX (checked):

\nabla ^{2}\varphi =0\qquad {\mbox{or}}\qquad \Delta \varphi =0

LaTeXML (experimental; uses MathML) rendering

MathML (3.671 KB / 841 B) :

2 φ = 0    or    Δ φ = 0 formulae-sequence superscript 2 𝜑 0 or Δ 𝜑 0 {\displaystyle{\displaystyle\nabla^{2}\varphi=0\qquad\mbox{or}\qquad\Delta% \varphi=0}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\nabla^{2}\varphi=0\qquad\mbox{or}\qquad\Delta%&#10;\varphi=0}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.15" xref="p1.1.m1.1.15.1.cmml">
      <mrow id="p1.1.m1.1.15.2" xref="p1.1.m1.1.15.2.cmml">
        <mrow id="p1.1.m1.1.15.2.1" xref="p1.1.m1.1.15.2.1.cmml">
          <msup id="p1.1.m1.1.15.2.1.1" xref="p1.1.m1.1.15.2.1.1.cmml">
            <mo id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml"></mo>
            <mn id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">2</mn>
          </msup>
          <mo id="p1.1.m1.1.15.2.1a" xref="p1.1.m1.1.15.2.1.cmml"></mo>
          <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">φ</mi>
        </mrow>
        <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">=</mo>
        <mrow id="p1.1.m1.1.15.2.2" xref="p1.1.m1.1.15.2.2.1.cmml">
          <mn id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">0</mn>
          <mo mathvariant="italic" separator="true" id="p1.1.m1.1.13" xref="p1.1.m1.1.15.2.2.1.cmml">  </mo>
          <mtext id="p1.1.m1.1.7" xref="p1.1.m1.1.7a.cmml">or</mtext>
        </mrow>
      </mrow>
      <mo mathvariant="italic" separator="true" id="p1.1.m1.1.14" xref="p1.1.m1.1.15.1a.cmml">  </mo>
      <mrow id="p1.1.m1.1.15.3" xref="p1.1.m1.1.15.3.cmml">
        <mrow id="p1.1.m1.1.15.3.1" xref="p1.1.m1.1.15.3.1.cmml">
          <mi mathvariant="normal" id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">Δ</mi>
          <mo id="p1.1.m1.1.15.3.1.1" xref="p1.1.m1.1.15.3.1.1.cmml"></mo>
          <mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">φ</mi>
        </mrow>
        <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>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.15.1.cmml" xref="p1.1.m1.1.15">
        <csymbol cd="ambiguous" id="p1.1.m1.1.15.1a.cmml" xref="p1.1.m1.1.14">formulae-sequence</csymbol>
        <apply id="p1.1.m1.1.15.2.cmml" xref="p1.1.m1.1.15.2">
          <eq id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
          <apply id="p1.1.m1.1.15.2.1.cmml" xref="p1.1.m1.1.15.2.1">
            <apply id="p1.1.m1.1.15.2.1.1.cmml" xref="p1.1.m1.1.15.2.1.1">
              <csymbol cd="ambiguous" id="p1.1.m1.1.15.2.1.1.1.cmml" xref="p1.1.m1.1.15.2.1.1">superscript</csymbol>
              <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"></ci>
              <cn type="integer" id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">2</cn>
            </apply>
            <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝜑</ci>
          </apply>
          <list id="p1.1.m1.1.15.2.2.1.cmml" xref="p1.1.m1.1.15.2.2">
            <cn type="integer" id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">0</cn>
            <ci id="p1.1.m1.1.7a.cmml" xref="p1.1.m1.1.7">
              <mtext id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">or</mtext>
            </ci>
          </list>
        </apply>
        <apply id="p1.1.m1.1.15.3.cmml" xref="p1.1.m1.1.15.3">
          <eq id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"/>
          <apply id="p1.1.m1.1.15.3.1.cmml" xref="p1.1.m1.1.15.3.1">
            <times id="p1.1.m1.1.15.3.1.1.cmml" xref="p1.1.m1.1.15.3.1.1"/>
            <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">Δ</ci>
            <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">𝜑</ci>
          </apply>
          <cn type="integer" id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">0</cn>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\nabla^{2}\varphi=0\qquad\mbox{or}\qquad\Delta%
\varphi=0}}</annotation>
  </semantics>
</math>

SVG (5.357 KB / 2.077 KB) :

nabla squared phi equals 0 or italic normal upper Delta times phi equals 0

MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Unknown MathTerm Tag: operator for \nabla - Reason: An unknown or missing element occurred

Translation to Mathematica

In Mathematica:

Unknown MathTerm Tag: operator for \nabla - Reason: An unknown or missing element occurred

Similar pages

Calculated based on the variables occurring on the entire Laplace's equation page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results