Jump to navigation Jump to search

General

Display information for equation id:math.2135.67 on revision:2135

* Page found: Wellenoptik und Beugung (eq math.2135.67)

(force rerendering)

Occurrences on the following pages:

Hash: db395702d12f97ec95554021af0af450

TeX (original user input):

O\acute{\ }=R\cdot I(x,y)=R\cdot (|O|{}^\text{2}+|R|{}^\text{2})+O\cdot |R|{}^\text{2}+R\cdot R\cdot O*

TeX (checked):

O{\acute {\ }}=R\cdot I(x,y)=R\cdot (|O|{}^{\text{2}}+|R|{}^{\text{2}})+O\cdot |R|{}^{\text{2}}+R\cdot R\cdot O*

LaTeXML (experimental; uses MathML) rendering

MathML (8.221 KB / 1.395 KB) :

O ´ = R I ( x , y ) = R ( | O | + 2 | R | ) 2 + O | R | + 2 R R O * fragments O ´ absent R I fragments ( x , y ) R fragments ( | O | superscript 2 | R | superscript ) 2 O | R | superscript 2 R R O {\displaystyle{\displaystyle O\acute{\ }=R\cdot I(x,y)=R\cdot(|O|{}^{\text{2}}% +|R|{}^{\text{2}})+O\cdot|R|{}^{\text{2}}+R\cdot R\cdot O*}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle O\acute{\ }=R\cdot I(x,y)=R\cdot(|O|{}^{\text{2}}%&#10;+|R|{}^{\text{2}})+O\cdot|R|{}^{\text{2}}+R\cdot R\cdot O*}}" 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">O</mi>
      <mover accent="true" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">
        <mi id="p1.1.m1.1.2.2" xref="p1.1.m1.1.2.2.cmml"/>
        <mo id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">´</mo>
      </mover>
      <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">=</mo>
      <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">R</mi>
      <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml"></mo>
      <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">I</mi>
      <mrow id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">
        <mo stretchy="false" id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">(</mo>
        <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">x</mi>
        <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">,</mo>
        <mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">y</mi>
        <mo stretchy="false" id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">)</mo>
      </mrow>
      <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">=</mo>
      <mi id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">R</mi>
      <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml"></mo>
      <mrow id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">
        <mo stretchy="false" id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">(</mo>
        <mo stretchy="false" id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">|</mo>
        <mi id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">O</mi>
        <mo stretchy="false" id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">|</mo>
        <mmultiscripts id="p1.1.m1.1.40" xref="p1.1.m1.1.40.cmml">
          <mo id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">+</mo>
          <mprescripts id="p1.1.m1.1.40a" xref="p1.1.m1.1.40.cmml"/>
          <none id="p1.1.m1.1.40b" xref="p1.1.m1.1.40.cmml"/>
          <mtext id="p1.1.m1.1.19.1" xref="p1.1.m1.1.19.1a.cmml">2</mtext>
        </mmultiscripts>
        <mo stretchy="false" id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">|</mo>
        <mi id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">R</mi>
        <mo stretchy="false" id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">|</mo>
        <mmultiscripts id="p1.1.m1.1.41" xref="p1.1.m1.1.41.cmml">
          <mo stretchy="false" id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">)</mo>
          <mprescripts id="p1.1.m1.1.41a" xref="p1.1.m1.1.41.cmml"/>
          <none id="p1.1.m1.1.41b" xref="p1.1.m1.1.41.cmml"/>
          <mtext id="p1.1.m1.1.24.1" xref="p1.1.m1.1.24.1a.cmml">2</mtext>
        </mmultiscripts>
      </mrow>
      <mo id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">+</mo>
      <mi id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">O</mi>
      <mo id="p1.1.m1.1.28" xref="p1.1.m1.1.28.cmml"></mo>
      <mo stretchy="false" id="p1.1.m1.1.29" xref="p1.1.m1.1.29.cmml">|</mo>
      <mi id="p1.1.m1.1.30" xref="p1.1.m1.1.30.cmml">R</mi>
      <mo stretchy="false" id="p1.1.m1.1.31" xref="p1.1.m1.1.31.cmml">|</mo>
      <mmultiscripts id="p1.1.m1.1.42" xref="p1.1.m1.1.42.cmml">
        <mo id="p1.1.m1.1.33" xref="p1.1.m1.1.33.cmml">+</mo>
        <mprescripts id="p1.1.m1.1.42a" xref="p1.1.m1.1.42.cmml"/>
        <none id="p1.1.m1.1.42b" xref="p1.1.m1.1.42.cmml"/>
        <mtext id="p1.1.m1.1.32.1" xref="p1.1.m1.1.32.1a.cmml">2</mtext>
      </mmultiscripts>
      <mi id="p1.1.m1.1.34" xref="p1.1.m1.1.34.cmml">R</mi>
      <mo id="p1.1.m1.1.35" xref="p1.1.m1.1.35.cmml"></mo>
      <mi id="p1.1.m1.1.36" xref="p1.1.m1.1.36.cmml">R</mi>
      <mo id="p1.1.m1.1.37" xref="p1.1.m1.1.37.cmml"></mo>
      <mi id="p1.1.m1.1.38" xref="p1.1.m1.1.38.cmml">O</mi>
      <mo id="p1.1.m1.1.39" xref="p1.1.m1.1.39.cmml">*</mo>
    </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">O</csymbol>
        <apply id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">
          <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">´</ci>
          <csymbol cd="latexml" id="p1.1.m1.1.2.2.cmml" xref="p1.1.m1.1.2.2">absent</csymbol>
        </apply>
        <eq id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
        <csymbol cd="unknown" id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">R</csymbol>
        <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"></ci>
        <csymbol cd="unknown" id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">I</csymbol>
        <cerror id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">
          <csymbol cd="ambiguous" id="p1.1.m1.1.19a.cmml" xref="p1.1.m1.1.19">fragments</csymbol>
          <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">(</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">x</csymbol>
          <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">,</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">y</csymbol>
          <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">)</ci>
        </cerror>
        <eq id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12"/>
        <csymbol cd="unknown" id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">R</csymbol>
        <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14"></ci>
        <cerror id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">
          <csymbol cd="ambiguous" id="p1.1.m1.1.24a.cmml" xref="p1.1.m1.1.24">fragments</csymbol>
          <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">(</ci>
          <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">|</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">O</csymbol>
          <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">|</ci>
          <apply id="p1.1.m1.1.40.cmml" xref="p1.1.m1.1.40">
            <csymbol cd="ambiguous" id="p1.1.m1.1.40.1.cmml" xref="p1.1.m1.1.40">superscript</csymbol>
            <plus id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20"/>
            <ci id="p1.1.m1.1.19.1a.cmml" xref="p1.1.m1.1.19.1">
              <mtext mathsize="70%" id="p1.1.m1.1.19.1.cmml" xref="p1.1.m1.1.19.1">2</mtext>
            </ci>
          </apply>
          <ci id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">|</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">R</csymbol>
          <ci id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">|</ci>
          <apply id="p1.1.m1.1.41.cmml" xref="p1.1.m1.1.41">
            <csymbol cd="ambiguous" id="p1.1.m1.1.41.1.cmml" xref="p1.1.m1.1.41">superscript</csymbol>
            <ci id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">)</ci>
            <ci id="p1.1.m1.1.24.1a.cmml" xref="p1.1.m1.1.24.1">
              <mtext mathsize="70%" id="p1.1.m1.1.24.1.cmml" xref="p1.1.m1.1.24.1">2</mtext>
            </ci>
          </apply>
        </cerror>
        <plus id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26"/>
        <csymbol cd="unknown" id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27">O</csymbol>
        <ci id="p1.1.m1.1.28.cmml" xref="p1.1.m1.1.28"></ci>
        <ci id="p1.1.m1.1.29.cmml" xref="p1.1.m1.1.29">|</ci>
        <csymbol cd="unknown" id="p1.1.m1.1.30.cmml" xref="p1.1.m1.1.30">R</csymbol>
        <ci id="p1.1.m1.1.31.cmml" xref="p1.1.m1.1.31">|</ci>
        <apply id="p1.1.m1.1.42.cmml" xref="p1.1.m1.1.42">
          <csymbol cd="ambiguous" id="p1.1.m1.1.42.1.cmml" xref="p1.1.m1.1.42">superscript</csymbol>
          <plus id="p1.1.m1.1.33.cmml" xref="p1.1.m1.1.33"/>
          <ci id="p1.1.m1.1.32.1a.cmml" xref="p1.1.m1.1.32.1">
            <mtext mathsize="70%" id="p1.1.m1.1.32.1.cmml" xref="p1.1.m1.1.32.1">2</mtext>
          </ci>
        </apply>
        <csymbol cd="unknown" id="p1.1.m1.1.34.cmml" xref="p1.1.m1.1.34">R</csymbol>
        <ci id="p1.1.m1.1.35.cmml" xref="p1.1.m1.1.35"></ci>
        <csymbol cd="unknown" id="p1.1.m1.1.36.cmml" xref="p1.1.m1.1.36">R</csymbol>
        <ci id="p1.1.m1.1.37.cmml" xref="p1.1.m1.1.37"></ci>
        <csymbol cd="unknown" id="p1.1.m1.1.38.cmml" xref="p1.1.m1.1.38">O</csymbol>
        <times id="p1.1.m1.1.39.cmml" xref="p1.1.m1.1.39"/>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle O\acute{\ }=R\cdot I(x,y)=R\cdot(|O|{}^{\text{2}}%
+|R|{}^{\text{2}})+O\cdot|R|{}^{\text{2}}+R\cdot R\cdot O*}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


SVG (MathML can be enabled via browser plugin) rendering

MathML (2.543 KB / 514 B) :

O   ´ = R I ( x , y ) = R ( | O | 2 + | R | 2 ) + O | R | 2 + R R O {\displaystyle O{\acute {\ }}=R\cdot I(x,y)=R\cdot (|O|{}^{\text{2}}+|R|{}^{\text{2}})+O\cdot |R|{}^{\text{2}}+R\cdot R\cdot O*}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle O{\acute {\ }}=R\cdot I(x,y)=R\cdot (|O|{}^{\text{2}}+|R|{}^{\text{2}})+O\cdot |R|{}^{\text{2}}+R\cdot R\cdot O*}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mi>O</mi>
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mover>
              <mtext>&#xA0;</mtext>
              <mo>&#x00B4;<!-- ´ --></mo>
            </mover>
          </mrow>
        </mrow>
        <mo>=</mo>
        <mi>R</mi>
        <mo>&#x22C5;<!-- ⋅ --></mo>
        <mi>I</mi>
        <mo stretchy="false">(</mo>
        <mi>x</mi>
        <mo>,</mo>
        <mi>y</mi>
        <mo stretchy="false">)</mo>
        <mo>=</mo>
        <mi>R</mi>
        <mo>&#x22C5;<!-- ⋅ --></mo>
        <mo stretchy="false">(</mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mo stretchy="false">|</mo>
        </mrow>
        <mi>O</mi>
        <mrow class="MJX-TeXAtom-ORD">
          <mo stretchy="false">|</mo>
        </mrow>
        <msup>
          <mrow class="MJX-TeXAtom-ORD">

          </mrow>
          <mrow class="MJX-TeXAtom-ORD">
            <mtext>2</mtext>
          </mrow>
        </msup>
        <mo>+</mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mo stretchy="false">|</mo>
        </mrow>
        <mi>R</mi>
        <mrow class="MJX-TeXAtom-ORD">
          <mo stretchy="false">|</mo>
        </mrow>
        <msup>
          <mrow class="MJX-TeXAtom-ORD">

          </mrow>
          <mrow class="MJX-TeXAtom-ORD">
            <mtext>2</mtext>
          </mrow>
        </msup>
        <mo stretchy="false">)</mo>
        <mo>+</mo>
        <mi>O</mi>
        <mo>&#x22C5;<!-- ⋅ --></mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mo stretchy="false">|</mo>
        </mrow>
        <mi>R</mi>
        <mrow class="MJX-TeXAtom-ORD">
          <mo stretchy="false">|</mo>
        </mrow>
        <msup>
          <mrow class="MJX-TeXAtom-ORD">

          </mrow>
          <mrow class="MJX-TeXAtom-ORD">
            <mtext>2</mtext>
          </mrow>
        </msup>
        <mo>+</mo>
        <mi>R</mi>
        <mo>&#x22C5;<!-- ⋅ --></mo>
        <mi>R</mi>
        <mo>&#x22C5;<!-- ⋅ --></mo>
        <mi>O</mi>
        <mo>&#x2217;<!-- ∗ --></mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle O{\acute {\ }}=R\cdot I(x,y)=R\cdot (|O|{}^{\text{2}}+|R|{}^{\text{2}})+O\cdot |R|{}^{\text{2}}+R\cdot R\cdot O*}</annotation>
  </semantics>
</math>

SVG (9.076 KB / 3.547 KB) :

{\displaystyle O{\acute {\ }}=R\cdot I(x,y)=R\cdot (|O|{}^{\text{2}}+|R|{}^{\text{2}})+O\cdot |R|{}^{\text{2}}+R\cdot R\cdot O*}

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 Wellenoptik und Beugung page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results