Jump to navigation
Jump to search
General
Display information for equation id:math.2126.27 on revision:2126
* Page found: Freie Wellenausbreitung im Vakuum (eq math.2126.27)
(force rerendering)Occurrences on the following pages:
Hash: 776bbba6c36daafa805415351ed7b17d
TeX (original user input):
\begin{align}
& \varpi (\bar{k})\approx \varpi ({{{\bar{k}}}_{0}})+\left( \bar{k}-{{{\bar{k}}}_{0}} \right){{\nabla }_{k}}\varpi (\bar{k}){{\left. {} \right|}_{\bar{k}={{{\bar{k}}}_{0}}}}+\frac{1}{2!}{{\left( \bar{k}-{{{\bar{k}}}_{0}} \right)}^{2}}{{\left( {{\nabla }_{k}} \right)}^{2}}\varpi (\bar{k}){{\left. {} \right|}_{\bar{k}={{{\bar{k}}}_{0}}}}+... \\
& {{\nabla }_{k}}\varpi (\bar{k}){{\left. {} \right|}_{\bar{k}={{{\bar{k}}}_{0}}}}={{{\bar{v}}}_{g}} \\
& \varpi (\bar{k})\approx \varpi ({{{\bar{k}}}_{0}})+\left( \bar{k}-{{{\bar{k}}}_{0}} \right){{{\bar{v}}}_{g}} \\
\end{align}
TeX (checked):
{\begin{aligned}&\varpi ({\bar {k}})\approx \varpi ({{\bar {k}}_{0}})+\left({\bar {k}}-{{\bar {k}}_{0}}\right){{\nabla }_{k}}\varpi ({\bar {k}}){{\left.{}\right|}_{{\bar {k}}={{\bar {k}}_{0}}}}+{\frac {1}{2!}}{{\left({\bar {k}}-{{\bar {k}}_{0}}\right)}^{2}}{{\left({{\nabla }_{k}}\right)}^{2}}\varpi ({\bar {k}}){{\left.{}\right|}_{{\bar {k}}={{\bar {k}}_{0}}}}+...\\&{{\nabla }_{k}}\varpi ({\bar {k}}){{\left.{}\right|}_{{\bar {k}}={{\bar {k}}_{0}}}}={{\bar {v}}_{g}}\\&\varpi ({\bar {k}})\approx \varpi ({{\bar {k}}_{0}})+\left({\bar {k}}-{{\bar {k}}_{0}}\right){{\bar {v}}_{g}}\\\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 (4.288 KB / 489 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"><mi>ϖ</mi><mo stretchy="false">(</mo><mover><mi>k</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><mo stretchy="false">≈</mo><mi>ϖ</mi><mo stretchy="false">(</mo><msub><mover><mi>k</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>k</mi><mo>¯</mo></mover><mo stretchy="false">−</mo><msub><mover><mi>k</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mi>ϖ</mi><mo stretchy="false">(</mo><mover><mi>k</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover><mo stretchy="false">=</mo><msub><mover><mi>k</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mo stretchy="false">!</mo></mrow></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>k</mi><mo>¯</mo></mover><mo stretchy="false">−</mo><msub><mover><mi>k</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>ϖ</mi><mo stretchy="false">(</mo><mover><mi>k</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover><mo stretchy="false">=</mo><msub><mover><mi>k</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">+</mo><mi>...</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mi>ϖ</mi><mo stretchy="false">(</mo><mover><mi>k</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover><mo stretchy="false">=</mo><msub><mover><mi>k</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mover><mi>v</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>ϖ</mi><mo stretchy="false">(</mo><mover><mi>k</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><mo stretchy="false">≈</mo><mi>ϖ</mi><mo stretchy="false">(</mo><msub><mover><mi>k</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>k</mi><mo>¯</mo></mover><mo stretchy="false">−</mo><msub><mover><mi>k</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mover><mi>v</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow></msub></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 Freie Wellenausbreitung im Vakuum page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results