Jump to navigation
Jump to search
General
Display information for equation id:math.2135.66 on revision:2135
* Page found: Wellenoptik und Beugung (eq math.2135.66)
(force rerendering)Occurrences on the following pages:
Hash: 18a1fe4ae2a94d24d884a67efffb97b0
TeX (original user input):
I(x,y)=|O|{}^\text{2}\ +\ |R|{}^\text{2}\ +2RO\cos [{{\varphi }_{R}}(x,y)-{{\varphi }_{O}}(x,y)]
TeX (checked):
I(x,y)=|O|{}^{\text{2}}\ +\ |R|{}^{\text{2}}\ +2RO\cos[{{\varphi }_{R}}(x,y)-{{\varphi }_{O}}(x,y)]
LaTeXML (experimental; uses MathML) rendering
MathML (8.334 KB / 1.404 KB) :
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle I(x,y)=|O|{}^{\text{2}}\ +\ |R|{}^{\text{2}}\ +2% RO\cos[{{\varphi}_{R}}(x,y)-{{\varphi}_{O}}(x,y)]}}" 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">I</mi>
<mrow id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">
<mo stretchy="false" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">(</mo>
<mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">x</mi>
<mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">,</mo>
<mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">y</mi>
<mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">)</mo>
</mrow>
<mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">=</mo>
<mo stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">|</mo>
<mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">O</mi>
<mo stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">|</mo>
<mmultiscripts id="p1.1.m1.1.42" xref="p1.1.m1.1.42.cmml">
<mo rspace="7.5pt" id="p1.1.m1.1.13" xref="p1.1.m1.1.13.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.m1.1.11.1" xref="p1.1.m1.1.11.1a.cmml">2</mtext>
</mmultiscripts>
<mo stretchy="false" id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">|</mo>
<mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">R</mi>
<mo stretchy="false" id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">|</mo>
<mmultiscripts id="p1.1.m1.1.43" xref="p1.1.m1.1.43.cmml">
<mo id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">+</mo>
<mprescripts id="p1.1.m1.1.43a" xref="p1.1.m1.1.43.cmml"/>
<none id="p1.1.m1.1.43b" xref="p1.1.m1.1.43.cmml"/>
<mtext id="p1.1.m1.1.18.1" xref="p1.1.m1.1.18.1a.cmml">2</mtext>
</mmultiscripts>
<mn id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">2</mn>
<mi id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">R</mi>
<mi id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">O</mi>
<mi id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">cos</mi>
<mrow id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">
<mo stretchy="false" id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">[</mo>
<msub id="p1.1.m1.1.44" xref="p1.1.m1.1.44.cmml">
<mi id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">φ</mi>
<mi id="p1.1.m1.1.27.1" xref="p1.1.m1.1.27.1.cmml">R</mi>
</msub>
<mrow id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">
<mo stretchy="false" id="p1.1.m1.1.28" xref="p1.1.m1.1.28.cmml">(</mo>
<mi id="p1.1.m1.1.29" xref="p1.1.m1.1.29.cmml">x</mi>
<mo id="p1.1.m1.1.30" xref="p1.1.m1.1.30.cmml">,</mo>
<mi id="p1.1.m1.1.31" xref="p1.1.m1.1.31.cmml">y</mi>
<mo stretchy="false" id="p1.1.m1.1.32" xref="p1.1.m1.1.32.cmml">)</mo>
</mrow>
<mo id="p1.1.m1.1.33" xref="p1.1.m1.1.33.cmml">-</mo>
<msub id="p1.1.m1.1.45" xref="p1.1.m1.1.45.cmml">
<mi id="p1.1.m1.1.34" xref="p1.1.m1.1.34.cmml">φ</mi>
<mi id="p1.1.m1.1.35.1" xref="p1.1.m1.1.35.1.cmml">O</mi>
</msub>
<mrow id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">
<mo stretchy="false" id="p1.1.m1.1.36" xref="p1.1.m1.1.36.cmml">(</mo>
<mi id="p1.1.m1.1.37" xref="p1.1.m1.1.37.cmml">x</mi>
<mo id="p1.1.m1.1.38" xref="p1.1.m1.1.38.cmml">,</mo>
<mi id="p1.1.m1.1.39" xref="p1.1.m1.1.39.cmml">y</mi>
<mo stretchy="false" id="p1.1.m1.1.40" xref="p1.1.m1.1.40.cmml">)</mo>
</mrow>
<mo stretchy="false" id="p1.1.m1.1.41" xref="p1.1.m1.1.41.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">I</csymbol>
<cerror id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">
<csymbol cd="ambiguous" id="p1.1.m1.1.11a.cmml" xref="p1.1.m1.1.11">fragments</csymbol>
<ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">(</ci>
<csymbol cd="unknown" id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">x</csymbol>
<ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">,</ci>
<csymbol cd="unknown" id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">y</csymbol>
<ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">)</ci>
</cerror>
<eq id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
<ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">|</ci>
<csymbol cd="unknown" id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">O</csymbol>
<ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">|</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.m1.1.13.cmml" xref="p1.1.m1.1.13"/>
<ci id="p1.1.m1.1.11.1a.cmml" xref="p1.1.m1.1.11.1">
<mtext mathsize="70%" id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">2</mtext>
</ci>
</apply>
<ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">|</ci>
<csymbol cd="unknown" id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">R</csymbol>
<ci id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">|</ci>
<apply id="p1.1.m1.1.43.cmml" xref="p1.1.m1.1.43">
<csymbol cd="ambiguous" id="p1.1.m1.1.43.1.cmml" xref="p1.1.m1.1.43">superscript</csymbol>
<plus id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20"/>
<ci id="p1.1.m1.1.18.1a.cmml" xref="p1.1.m1.1.18.1">
<mtext mathsize="70%" id="p1.1.m1.1.18.1.cmml" xref="p1.1.m1.1.18.1">2</mtext>
</ci>
</apply>
<cn type="integer" id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">2</cn>
<csymbol cd="unknown" id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">R</csymbol>
<csymbol cd="unknown" id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">O</csymbol>
<cos id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24"/>
<cerror id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">
<csymbol cd="ambiguous" id="p1.1.m1.1.18a.cmml" xref="p1.1.m1.1.18">fragments</csymbol>
<ci id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">[</ci>
<apply id="p1.1.m1.1.44.cmml" xref="p1.1.m1.1.44">
<csymbol cd="ambiguous" id="p1.1.m1.1.44.1.cmml" xref="p1.1.m1.1.44">subscript</csymbol>
<ci id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26">𝜑</ci>
<ci id="p1.1.m1.1.27.1.cmml" xref="p1.1.m1.1.27.1">𝑅</ci>
</apply>
<cerror id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">
<csymbol cd="ambiguous" id="p1.1.m1.1.12a.cmml" xref="p1.1.m1.1.12">fragments</csymbol>
<ci id="p1.1.m1.1.28.cmml" xref="p1.1.m1.1.28">(</ci>
<csymbol cd="unknown" id="p1.1.m1.1.29.cmml" xref="p1.1.m1.1.29">x</csymbol>
<ci id="p1.1.m1.1.30.cmml" xref="p1.1.m1.1.30">,</ci>
<csymbol cd="unknown" id="p1.1.m1.1.31.cmml" xref="p1.1.m1.1.31">y</csymbol>
<ci id="p1.1.m1.1.32.cmml" xref="p1.1.m1.1.32">)</ci>
</cerror>
<minus id="p1.1.m1.1.33.cmml" xref="p1.1.m1.1.33"/>
<apply id="p1.1.m1.1.45.cmml" xref="p1.1.m1.1.45">
<csymbol cd="ambiguous" id="p1.1.m1.1.45.1.cmml" xref="p1.1.m1.1.45">subscript</csymbol>
<ci id="p1.1.m1.1.34.cmml" xref="p1.1.m1.1.34">𝜑</ci>
<ci id="p1.1.m1.1.35.1.cmml" xref="p1.1.m1.1.35.1">𝑂</ci>
</apply>
<cerror id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">
<csymbol cd="ambiguous" id="p1.1.m1.1.14a.cmml" xref="p1.1.m1.1.14">fragments</csymbol>
<ci id="p1.1.m1.1.36.cmml" xref="p1.1.m1.1.36">(</ci>
<csymbol cd="unknown" id="p1.1.m1.1.37.cmml" xref="p1.1.m1.1.37">x</csymbol>
<ci id="p1.1.m1.1.38.cmml" xref="p1.1.m1.1.38">,</ci>
<csymbol cd="unknown" id="p1.1.m1.1.39.cmml" xref="p1.1.m1.1.39">y</csymbol>
<ci id="p1.1.m1.1.40.cmml" xref="p1.1.m1.1.40">)</ci>
</cerror>
<ci id="p1.1.m1.1.41.cmml" xref="p1.1.m1.1.41">]</ci>
</cerror>
</cerror>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle I(x,y)=|O|{}^{\text{2}}\ +\ |R|{}^{\text{2}}\ +2%
RO\cos[{{\varphi}_{R}}(x,y)-{{\varphi}_{O}}(x,y)]}}</annotation>
</semantics>
</math>
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimental; no images) rendering
MathML (1.066 KB / 320 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>I</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">)</mo><mo>=</mo><mo>|</mo><mi>O</mi><mo>|</mo><msup><mi/><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>2</mtext></mrow></mrow></msup><mspace width="0.5em"/><mo>+</mo><mspace width="0.5em"/><mo>|</mo><mi>R</mi><mo>|</mo><msup><mi/><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>2</mtext></mrow></mrow></msup><mspace width="0.5em"/><mo>+</mo><mn>2</mn><mi>R</mi><mi>O</mi><mi>cos</mi><mo>⁡</mo><mo stretchy="false">[</mo><msub><mi>φ</mi><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">)</mo><mo>−</mo><msub><mi>φ</mi><mrow data-mjx-texclass="ORD"><mi>O</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">)</mo><mo stretchy="false">]</mo></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 Wellenoptik und Beugung page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results