Jump to navigation Jump to search

General

Display information for equation id:math.223004.8 on revision:223004

* Page found: Harmonic function (eq math.223004.8)

(force rerendering)

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

Occurrences on the following pages:

Hash: a192056cc4e6cd663970eb8e1e1a7c12

TeX (original user input):

r^2=x^2+y^2+z^2

TeX (checked):

r^{2}=x^{2}+y^{2}+z^{2}

LaTeXML (experimental; uses MathML) rendering

MathML (3.124 KB / 645 B) :

r 2 = x 2 + y 2 + z 2 superscript 𝑟 2 superscript 𝑥 2 superscript 𝑦 2 superscript 𝑧 2 {\displaystyle r^{2}=x^{2}+y^{2}+z^{2}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle r^{2}=x^{2}+y^{2}+z^{2}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">
      <msup id="p1.1.m1.1.12.1" xref="p1.1.m1.1.12.1.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">r</mi>
        <mn id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">2</mn>
      </msup>
      <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">=</mo>
      <mrow id="p1.1.m1.1.12.2" xref="p1.1.m1.1.12.2.cmml">
        <msup id="p1.1.m1.1.12.2.1" xref="p1.1.m1.1.12.2.1.cmml">
          <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">x</mi>
          <mn id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">2</mn>
        </msup>
        <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">+</mo>
        <msup id="p1.1.m1.1.12.2.2" xref="p1.1.m1.1.12.2.2.cmml">
          <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">y</mi>
          <mn id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">2</mn>
        </msup>
        <mo id="p1.1.m1.1.6a" xref="p1.1.m1.1.6.cmml">+</mo>
        <msup id="p1.1.m1.1.12.2.3" xref="p1.1.m1.1.12.2.3.cmml">
          <mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">z</mi>
          <mn id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">2</mn>
        </msup>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">
        <eq id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
        <apply id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12.1">
          <csymbol cd="ambiguous" id="p1.1.m1.1.12.1.1.cmml" xref="p1.1.m1.1.12.1">superscript</csymbol>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑟</ci>
          <cn type="integer" id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">2</cn>
        </apply>
        <apply id="p1.1.m1.1.12.2.cmml" xref="p1.1.m1.1.12.2">
          <plus id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
          <apply id="p1.1.m1.1.12.2.1.cmml" xref="p1.1.m1.1.12.2.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.12.2.1.1.cmml" xref="p1.1.m1.1.12.2.1">superscript</csymbol>
            <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑥</ci>
            <cn type="integer" id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">2</cn>
          </apply>
          <apply id="p1.1.m1.1.12.2.2.cmml" xref="p1.1.m1.1.12.2.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.12.2.2.1.cmml" xref="p1.1.m1.1.12.2.2">superscript</csymbol>
            <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝑦</ci>
            <cn type="integer" id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">2</cn>
          </apply>
          <apply id="p1.1.m1.1.12.2.3.cmml" xref="p1.1.m1.1.12.2.3">
            <csymbol cd="ambiguous" id="p1.1.m1.1.12.2.3.1.cmml" xref="p1.1.m1.1.12.2.3">superscript</csymbol>
            <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">𝑧</ci>
            <cn type="integer" id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">2</cn>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle r^{2}=x^{2}+y^{2}+z^{2}}</annotation>
  </semantics>
</math>

SVG (5.731 KB / 2.242 KB) :

r squared equals x squared plus y squared plus z squared

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:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Harmonic function page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results