Jump to navigation
Jump to search
General
Display information for equation id:math.2045.4 on revision:2045
* Page found: Stabilität und Langzeitverhalten (eq math.2045.4)
(force rerendering)Occurrences on the following pages:
Hash: 4716789cd284c82a8c328b3cb7d92498
TeX (original user input):
\bar{x}\in V\Rightarrow \varphi (\bar{x},t)\in U\quad \forall t\ge 0
LaTeXML (experimental; uses MathML) rendering
MathML (4.962 KB / 1.03 KB) :
![](/w/extensions/MathSearch/resources/images/math_search_logo.png)
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\bar{x}\in V\Rightarrow\varphi(\bar{x},t)\in U% \quad\forall t\geq 0}}" display="inline">
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1.19" xref="p1.1.m1.1.19.1.cmml">
<mrow id="p1.1.m1.1.19.2" xref="p1.1.m1.1.19.2.cmml">
<mover accent="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">
<mi id="p1.1.m1.1.1.2" xref="p1.1.m1.1.1.2.cmml">x</mi>
<mo stretchy="false" id="p1.1.m1.1.1.1" xref="p1.1.m1.1.1.1.cmml">¯</mo>
</mover>
<mo 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">V</mi>
<mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">⇒</mo>
<mrow id="p1.1.m1.1.19.2.2" xref="p1.1.m1.1.19.2.2.cmml">
<mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">φ</mi>
<mo id="p1.1.m1.1.19.2.2.1" xref="p1.1.m1.1.19.2.2.1.cmml"></mo>
<mrow id="p1.1.m1.1.19.2.2.2" xref="p1.1.m1.1.19.2.2.2.1.cmml">
<mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.19.2.2.2.1.cmml">(</mo>
<mover accent="true" id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">
<mi id="p1.1.m1.1.7.2" xref="p1.1.m1.1.7.2.cmml">x</mi>
<mo stretchy="false" id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">¯</mo>
</mover>
<mo id="p1.1.m1.1.8" xref="p1.1.m1.1.19.2.2.2.1.cmml">,</mo>
<mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">t</mi>
<mo stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.19.2.2.2.1.cmml">)</mo>
</mrow>
</mrow>
<mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">∈</mo>
<mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">U</mi>
</mrow>
<mo mathvariant="italic" separator="true" id="p1.1.m1.1.18" xref="p1.1.m1.1.19.1a.cmml"> </mo>
<mrow id="p1.1.m1.1.19.3" xref="p1.1.m1.1.19.3.cmml">
<mrow id="p1.1.m1.1.19.3.1" xref="p1.1.m1.1.19.3.1.cmml">
<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">t</mi>
</mrow>
<mo id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">≥</mo>
<mn id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">0</mn>
</mrow>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.19.1.cmml" xref="p1.1.m1.1.19">
<csymbol cd="ambiguous" id="p1.1.m1.1.19.1a.cmml" xref="p1.1.m1.1.18">formulae-sequence</csymbol>
<apply id="p1.1.m1.1.19.2.cmml" xref="p1.1.m1.1.19.2">
<and id="p1.1.m1.1.19.2a.cmml" xref="p1.1.m1.1.19.2"/>
<apply id="p1.1.m1.1.19.2b.cmml" xref="p1.1.m1.1.19.2">
<in id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
<apply id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">
<ci id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.1">¯</ci>
<ci id="p1.1.m1.1.1.2.cmml" xref="p1.1.m1.1.1.2">𝑥</ci>
</apply>
<ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑉</ci>
</apply>
<apply id="p1.1.m1.1.19.2c.cmml" xref="p1.1.m1.1.19.2">
<ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">⇒</ci>
<share href="#p1.1.m1.1.3.cmml" id="p1.1.m1.1.19.2d.cmml" xref="p1.1.m1.1.19.2"/>
<apply id="p1.1.m1.1.19.2.2.cmml" xref="p1.1.m1.1.19.2.2">
<times id="p1.1.m1.1.19.2.2.1.cmml" xref="p1.1.m1.1.19.2.2.1"/>
<ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝜑</ci>
<interval closure="open" id="p1.1.m1.1.19.2.2.2.1.cmml" xref="p1.1.m1.1.19.2.2.2">
<apply id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">
<ci id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">¯</ci>
<ci id="p1.1.m1.1.7.2.cmml" xref="p1.1.m1.1.7.2">𝑥</ci>
</apply>
<ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑡</ci>
</interval>
</apply>
</apply>
<apply id="p1.1.m1.1.19.2e.cmml" xref="p1.1.m1.1.19.2">
<in id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"/>
<share href="#p1.1.m1.1.19.2.2.cmml" id="p1.1.m1.1.19.2f.cmml" xref="p1.1.m1.1.19.2"/>
<ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝑈</ci>
</apply>
</apply>
<apply id="p1.1.m1.1.19.3.cmml" xref="p1.1.m1.1.19.3">
<geq id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16"/>
<apply id="p1.1.m1.1.19.3.1.cmml" xref="p1.1.m1.1.19.3.1">
<csymbol cd="latexml" id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">for-all</csymbol>
<ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">𝑡</ci>
</apply>
<cn type="integer" id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">0</cn>
</apply>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\bar{x}\in V\Rightarrow\varphi(\bar{x},t)\in U%
\quad\forall t\geq 0}}</annotation>
</semantics>
</math>
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
SVG (MathML can be enabled via browser plugin) rendering
MathML (1.396 KB / 481 B) :
![](/w/extensions/MathSearch/resources/images/math_search_logo.png)
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle {\bar {x}}\in V\Rightarrow \varphi ({\bar {x}},t)\in U\quad \forall t\geq 0}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mover>
<mi>x</mi>
<mo stretchy="false">¯<!-- ¯ --></mo>
</mover>
</mrow>
</mrow>
<mo>∈<!-- ∈ --></mo>
<mi>V</mi>
<mo stretchy="false">⇒<!-- ⇒ --></mo>
<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>
<mi>U</mi>
<mspace width="1em" />
<mi mathvariant="normal">∀<!-- ∀ --></mi>
<mi>t</mi>
<mo>≥<!-- ≥ --></mo>
<mn>0</mn>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle {\bar {x}}\in V\Rightarrow \varphi ({\bar {x}},t)\in U\quad \forall t\geq 0}</annotation>
</semantics>
</math>
SVG (7.493 KB / 3.272 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