Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.1356.28 on revision:1356

* Page found: Dynamische Systeme und deterministisches Chaos (eq math.1356.28)

(force rerendering)

Occurrences on the following pages:

Hash: 66cc66f1e020e63c21f8ed2bed4e0553

TeX (original user input): 

{{\dot{x}}_{1}}={{\dot{x}}_{2}}=0\Rightarrow {{x}_{2}}=0,{{x}_{1}}=n\pi (n=0,1,...)

TeX (checked): 

{{\dot {x}}_{1}}={{\dot {x}}_{2}}=0\Rightarrow {{x}_{2}}=0,{{x}_{1}}=n\pi (n=0,1,...)

LaTeXML (experimentell; verwendet MathML) rendering

MathML (6.009 KB / 1.118 KB) :

x ˙ 1 = x ˙ 2 = 0 ⇒ x 2 = 0 , x 1 = n π ( n = 0 , 1 , … ) fragments subscript ˙ 𝑥 1 subscript ˙ 𝑥 2 0 ⇒ subscript 𝑥 2 0 , subscript 𝑥 1 n π fragments ( n 0 , 1 , … ) {\displaystyle{\displaystyle{{\dot{x}}_{1}}={{\dot{x}}_{2}}=0\Rightarrow{{x}_{% 2}}=0,{{x}_{1}}=n\pi(n=0,1,...)}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle{{\dot{x}}_{1}}={{\dot{x}}_{2}}=0\Rightarrow{{x}_{%&#10;2}}=0,{{x}_{1}}=n\pi(n=0,1,...)}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <msub id="p1.1.m1.1.30" xref="p1.1.m1.1.30.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 id="p1.1.m1.1.1.1" xref="p1.1.m1.1.1.1.cmml">˙</mo>
        </mover>
        <mn id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">1</mn>
      </msub>
      <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">=</mo>
      <msub id="p1.1.m1.1.31" xref="p1.1.m1.1.31.cmml">
        <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 id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">˙</mo>
        </mover>
        <mn id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">2</mn>
      </msub>
      <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">=</mo>
      <mn id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">0</mn>
      <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">⇒</mo>
      <msub id="p1.1.m1.1.32" xref="p1.1.m1.1.32.cmml">
        <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">x</mi>
        <mn id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">2</mn>
      </msub>
      <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">=</mo>
      <mn id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">0</mn>
      <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">,</mo>
      <msub id="p1.1.m1.1.33" xref="p1.1.m1.1.33.cmml">
        <mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">x</mi>
        <mn id="p1.1.m1.1.15.1" xref="p1.1.m1.1.15.1.cmml">1</mn>
      </msub>
      <mo id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">=</mo>
      <mi id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">n</mi>
      <mi id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">π</mi>
      <mrow id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">
        <mo stretchy="false" id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">(</mo>
        <mi id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">n</mi>
        <mo id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">=</mo>
        <mn id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">0</mn>
        <mo id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">,</mo>
        <mn id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">1</mn>
        <mo id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">,</mo>
        <mi mathvariant="normal" id="p1.1.m1.1.28" xref="p1.1.m1.1.28.cmml">…</mi>
        <mo stretchy="false" id="p1.1.m1.1.29" xref="p1.1.m1.1.29.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>
        <apply id="p1.1.m1.1.30.cmml" xref="p1.1.m1.1.30">
          <csymbol cd="ambiguous" id="p1.1.m1.1.30.1.cmml" xref="p1.1.m1.1.30">subscript</csymbol>
          <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>
          <cn type="integer" id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">1</cn>
        </apply>
        <eq id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
        <apply id="p1.1.m1.1.31.cmml" xref="p1.1.m1.1.31">
          <csymbol cd="ambiguous" id="p1.1.m1.1.31.1.cmml" xref="p1.1.m1.1.31">subscript</csymbol>
          <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>
          <cn type="integer" id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">2</cn>
        </apply>
        <eq id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
        <cn type="integer" id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">0</cn>
        <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">⇒</ci>
        <apply id="p1.1.m1.1.32.cmml" xref="p1.1.m1.1.32">
          <csymbol cd="ambiguous" id="p1.1.m1.1.32.1.cmml" xref="p1.1.m1.1.32">subscript</csymbol>
          <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑥</ci>
          <cn type="integer" id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">2</cn>
        </apply>
        <eq id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"/>
        <cn type="integer" id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">0</cn>
        <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">,</ci>
        <apply id="p1.1.m1.1.33.cmml" xref="p1.1.m1.1.33">
          <csymbol cd="ambiguous" id="p1.1.m1.1.33.1.cmml" xref="p1.1.m1.1.33">subscript</csymbol>
          <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝑥</ci>
          <cn type="integer" id="p1.1.m1.1.15.1.cmml" xref="p1.1.m1.1.15.1">1</cn>
        </apply>
        <eq id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16"/>
        <csymbol cd="unknown" id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">n</csymbol>
        <csymbol cd="unknown" id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">π</csymbol>
        <cerror id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">
          <csymbol cd="ambiguous" id="p1.1.m1.1.2a.cmml" xref="p1.1.m1.1.2">fragments</csymbol>
          <ci id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">(</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">n</csymbol>
          <eq id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21"/>
          <cn type="integer" id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">0</cn>
          <ci id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">,</ci>
          <cn type="integer" id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">1</cn>
          <ci id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">,</ci>
          <ci id="p1.1.m1.1.28.cmml" xref="p1.1.m1.1.28">…</ci>
          <ci id="p1.1.m1.1.29.cmml" xref="p1.1.m1.1.29">)</ci>
        </cerror>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle{{\dot{x}}_{1}}={{\dot{x}}_{2}}=0\Rightarrow{{x}_{%
2}}=0,{{x}_{1}}=n\pi(n=0,1,...)}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (909 B / 282 B) :

x˙1=x˙2=0⇒x2=0,x1=nπ(n=0,1,...)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mstyle><mo>=</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mn>0</mn><mo>&#x21D2;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mn>0</mn><mo>,</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><mi>n</mi><mi>&#x03C0;</mi><mo stretchy="false">(</mo><mi>n</mi><mo>=</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo stretchy="false">)</mo></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 Dynamische Systeme und deterministisches Chaos page

Identifiers

  • x˙1
  • x˙2
  • x2
  • x1
  • n
  • π
  • n

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“