Jump to navigation
Jump to search
General
Display information for equation id:math.2038.9 on revision:2038
* Page found: Stabilität und Langzeitverhalten (eq math.2038.9)
(force rerendering)Occurrences on the following pages:
Hash: 1c1531b9dc2bad445cc12eb6aa24948b
TeX (original user input):
\begin{matrix}
\lim \\
t\to \infty \\
\end{matrix}\varphi (\bar{x},t)=\bar{x}*\quad \forall \bar{x}\in U
TeX (checked):
{\begin{matrix}\lim \\t\to \infty \\\end{matrix}}\varphi ({\bar {x}},t)={\bar {x}}*\quad \forall {\bar {x}}\in U
LaTeXML (experimental; uses MathML) rendering
MathML (5.249 KB / 1.121 KB) :
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\begin{matrix}\lim\\ t\to\infty\\ \end{matrix}\varphi(\bar{x},t)=\bar{x}*\quad\forall\bar{x}\in U}}" display="inline">
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1b">
<mtable rowspacing="0pt" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">
<mtr id="p1.1.m1.1.1a" xref="p1.1.m1.1.1.cmml">
<mtd columnalign="center" id="p1.1.m1.1.1b" xref="p1.1.m1.1.1.cmml">
<mo id="p1.1.m1.1.1.1.1.1" xref="p1.1.m1.1.1.1.1.1.cmml">lim</mo>
</mtd>
</mtr>
<mtr id="p1.1.m1.1.1c" xref="p1.1.m1.1.1.cmml">
<mtd columnalign="center" id="p1.1.m1.1.1d" xref="p1.1.m1.1.1.cmml">
<mrow id="p1.1.m1.1.1.2.1.1" xref="p1.1.m1.1.1.2.1.1.cmml">
<mi id="p1.1.m1.1.1.2.1.1.1" xref="p1.1.m1.1.1.2.1.1.1.cmml">t</mi>
<mo id="p1.1.m1.1.1.2.1.1.2" xref="p1.1.m1.1.1.2.1.1.2.cmml">→</mo>
<mi mathvariant="normal" id="p1.1.m1.1.1.2.1.1.3" xref="p1.1.m1.1.1.2.1.1.3.cmml">∞</mi>
</mrow>
</mtd>
</mtr>
</mtable>
<mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">φ</mi>
<mrow id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">
<mo stretchy="false" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">(</mo>
<mover accent="true" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
<mi id="p1.1.m1.1.4.2" xref="p1.1.m1.1.4.2.cmml">x</mi>
<mo stretchy="false" id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">¯</mo>
</mover>
<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">t</mi>
<mo stretchy="false" id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">)</mo>
</mrow>
<mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">=</mo>
<mover accent="true" id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">
<mi id="p1.1.m1.1.9.2" xref="p1.1.m1.1.9.2.cmml">x</mi>
<mo stretchy="false" id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">¯</mo>
</mover>
<mo id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">*</mo>
<mo mathvariant="italic" separator="true" id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml"> </mo>
<mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">∀</mo>
<mover accent="true" id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">
<mi id="p1.1.m1.1.13.2" xref="p1.1.m1.1.13.2.cmml">x</mi>
<mo stretchy="false" id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">¯</mo>
</mover>
<mo id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">∈</mo>
<mi id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">U</mi>
</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>
<matrix id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">
<matrixrow id="p1.1.m1.1.1a.cmml" xref="p1.1.m1.1.1">
<limit id="p1.1.m1.1.1.1.1.1.cmml" xref="p1.1.m1.1.1.1.1.1"/>
</matrixrow>
<matrixrow id="p1.1.m1.1.1b.cmml" xref="p1.1.m1.1.1">
<apply id="p1.1.m1.1.1.2.1.1.cmml" xref="p1.1.m1.1.1.2.1.1">
<ci id="p1.1.m1.1.1.2.1.1.2.cmml" xref="p1.1.m1.1.1.2.1.1.2">→</ci>
<ci id="p1.1.m1.1.1.2.1.1.1.cmml" xref="p1.1.m1.1.1.2.1.1.1">𝑡</ci>
<infinity id="p1.1.m1.1.1.2.1.1.3.cmml" xref="p1.1.m1.1.1.2.1.1.3"/>
</apply>
</matrixrow>
</matrix>
<csymbol cd="unknown" id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">φ</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.m1.1.3.cmml" xref="p1.1.m1.1.3">(</ci>
<apply id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
<ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">¯</ci>
<ci id="p1.1.m1.1.4.2.cmml" xref="p1.1.m1.1.4.2">𝑥</ci>
</apply>
<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">t</csymbol>
<ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">)</ci>
</cerror>
<eq id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8"/>
<apply id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">
<ci id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">¯</ci>
<ci id="p1.1.m1.1.9.2.cmml" xref="p1.1.m1.1.9.2">𝑥</ci>
</apply>
<times id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10"/>
<ci id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">italic- </ci>
<csymbol cd="latexml" id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">for-all</csymbol>
<apply id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">
<ci id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">¯</ci>
<ci id="p1.1.m1.1.13.2.cmml" xref="p1.1.m1.1.13.2">𝑥</ci>
</apply>
<in id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14"/>
<csymbol cd="unknown" id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">U</csymbol>
</cerror>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle\begin{matrix}\lim\\
t\to\infty\\
\end{matrix}\varphi(\bar{x},t)=\bar{x}*\quad\forall\bar{x}\in U}}</annotation>
</semantics>
</math>
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
SVG (MathML can be enabled via browser plugin) rendering
MathML (2.071 KB / 588 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle {\begin{matrix}\lim \\t\to \infty \\\end{matrix}}\varphi ({\bar {x}},t)={\bar {x}}*\quad \forall {\bar {x}}\in U}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mtable rowspacing="4pt" columnspacing="1em">
<mtr>
<mtd>
<mo movablelimits="true" form="prefix">lim</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>t</mi>
<mo stretchy="false">→<!-- → --></mo>
<mi mathvariant="normal">∞<!-- ∞ --></mi>
</mtd>
</mtr>
</mtable>
</mrow>
<mi>φ<!-- φ --></mi>
<mo stretchy="false">(</mo>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mover>
<mi>x</mi>
<mo stretchy="false">¯<!-- ¯ --></mo>
</mover>
</mrow>
</mrow>
<mo>,</mo>
<mi>t</mi>
<mo stretchy="false">)</mo>
<mo>=</mo>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mover>
<mi>x</mi>
<mo stretchy="false">¯<!-- ¯ --></mo>
</mover>
</mrow>
</mrow>
<mo>∗<!-- ∗ --></mo>
<mspace width="1em" />
<mi mathvariant="normal">∀<!-- ∀ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mover>
<mi>x</mi>
<mo stretchy="false">¯<!-- ¯ --></mo>
</mover>
</mrow>
</mrow>
<mo>∈<!-- ∈ --></mo>
<mi>U</mi>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\begin{matrix}\lim \\t\to \infty \\\end{matrix}}\varphi ({\bar {x}},t)={\bar {x}}*\quad \forall {\bar {x}}\in U}</annotation>
</semantics>
</math>
SVG (9.714 KB / 4.168 KB) :
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 Stabilität und Langzeitverhalten page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results