Jump to navigation
Jump to search
General
Display information for equation id:math.2158.67 on revision:2158
* Page found: Wellenausbreitung in Materie (eq math.2158.67)
(force rerendering)Occurrences on the following pages:
Hash: c2853cb3dde7abcfcca6f7c845344878
TeX (original user input):
\begin{align}
& \int\limits_{Kreisbogen}{{}}ds\frac{f(s)}{s}=f(0)\int\limits_{Kreisbogen}{{}}\frac{ds}{s} \\
& s=\varepsilon {{e}^{i\phi }}\Rightarrow ds=isd\phi \\
& f(0)\int\limits_{Kreisbogen}{{}}\frac{ds}{s}=f(0)i\int\limits_{0}^{\pi }{{}}d\phi =i\pi f(0) \\
\end{align}
TeX (checked):
{\begin{aligned}&\int \limits _{Kreisbogen}{}ds{\frac {f(s)}{s}}=f(0)\int \limits _{Kreisbogen}{}{\frac {ds}{s}}\\&s=\varepsilon {{e}^{i\phi }}\Rightarrow ds=isd\phi \\&f(0)\int \limits _{Kreisbogen}{}{\frac {ds}{s}}=f(0)i\int \limits _{0}^{\pi }{}d\phi =i\pi f(0)\\\end{aligned}}
LaTeXML (experimental; uses MathML) rendering
MathML (0 B / 8 B) :
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimental; no images) rendering
MathML (2.734 KB / 439 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><munder><mo form="prefix" stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>K</mi><mi>r</mi><mi>e</mi><mi>i</mi><mi>s</mi><mi>b</mi><mi>o</mi><mi>g</mi><mi>e</mi><mi>n</mi></mrow></mrow></munder><mi>d</mi><mi>s</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>f</mi><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></mfrac></mrow><mo stretchy="false">=</mo><mi>f</mi><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><munder><mo form="prefix" stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>K</mi><mi>r</mi><mi>e</mi><mi>i</mi><mi>s</mi><mi>b</mi><mi>o</mi><mi>g</mi><mi>e</mi><mi>n</mi></mrow></mrow></munder><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>s</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>s</mi><mo stretchy="false">=</mo><mi>ε</mi><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>ϕ</mi></mrow></mrow></msup><mo stretchy="false">⇒</mo><mi>d</mi><mi>s</mi><mo stretchy="false">=</mo><mi>i</mi><mi>s</mi><mi>d</mi><mi>ϕ</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>f</mi><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><munder><mo form="prefix" stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>K</mi><mi>r</mi><mi>e</mi><mi>i</mi><mi>s</mi><mi>b</mi><mi>o</mi><mi>g</mi><mi>e</mi><mi>n</mi></mrow></mrow></munder><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>s</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></mfrac></mrow><mo stretchy="false">=</mo><mi>f</mi><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo><mi>i</mi><munderover><mo form="prefix" stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>π</mi></mrow></munderover><mi>d</mi><mi>ϕ</mi><mo stretchy="false">=</mo><mi>i</mi><mi>π</mi><mi>f</mi><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></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 Wellenausbreitung in Materie page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results