Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.1357.185 on revision:1357

* Page found: Dynamische Systeme und deterministisches Chaos (eq math.1357.185)

(force rerendering)

Occurrences on the following pages:

Hash: e1053c923d3cb3b417322f533107cea2

TeX (original user input): 

\left| \Phi (t,{{{\bar{x}}}_{0}})-\Phi (t,{{{\bar{y}}}_{0}}) \right|\tilde{\ }{{e}^{\lambda t}}

TeX (checked): 

\left|\Phi (t,{{\bar {x}}_{0}})-\Phi (t,{{\bar {y}}_{0}})\right|{\tilde {\ }}{{e}^{\lambda t}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (7.198 KB / 1.24 KB) :

| Φ ⁢ ( t , x ¯ 0 ) - Φ ⁢ ( t , y ¯ 0 ) | ⁢ ~ ⁢ e λ ⁢ t Φ 𝑡 subscript ¯ 𝑥 0 Φ 𝑡 subscript ¯ 𝑦 0 ~ absent superscript 𝑒 𝜆 𝑡 {\displaystyle{\displaystyle\left|\Phi(t,{{{\bar{x}}}_{0}})-\Phi(t,{{{\bar{y}}% }_{0}})\right|\tilde{\ }{{e}^{\lambda t}}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\left|\Phi(t,{{{\bar{x}}}_{0}})-\Phi(t,{{{\bar{y}}%&#10;}_{0}})\right|\tilde{\ }{{e}^{\lambda t}}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">
      <mrow id="p1.1.m1.1.21.2" xref="p1.1.m1.1.21.2.1.cmml">
        <mo id="p1.1.m1.1.1" xref="p1.1.m1.1.21.2.1.1.cmml">|</mo>
        <mrow id="p1.1.m1.1.21.2.2" xref="p1.1.m1.1.21.2.2.cmml">
          <mrow id="p1.1.m1.1.21.2.2.1" xref="p1.1.m1.1.21.2.2.1.cmml">
            <mi mathvariant="normal" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">Φ</mi>
            <mo id="p1.1.m1.1.21.2.2.1.1" xref="p1.1.m1.1.21.2.2.1.1.cmml">⁢</mo>
            <mrow id="p1.1.m1.1.21.2.2.1.2" xref="p1.1.m1.1.21.2.2.1.2.1.cmml">
              <mo stretchy="false" id="p1.1.m1.1.3" xref="p1.1.m1.1.21.2.2.1.2.1.cmml">(</mo>
              <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">t</mi>
              <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.21.2.2.1.2.1.cmml">,</mo>
              <msub id="p1.1.m1.1.21.2.2.1.2.2" xref="p1.1.m1.1.21.2.2.1.2.2.cmml">
                <mover accent="true" id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">
                  <mi id="p1.1.m1.1.6.2" xref="p1.1.m1.1.6.2.cmml">x</mi>
                  <mo stretchy="false" id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">¯</mo>
                </mover>
                <mn id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">0</mn>
              </msub>
              <mo stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.21.2.2.1.2.1.cmml">)</mo>
            </mrow>
          </mrow>
          <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">-</mo>
          <mrow id="p1.1.m1.1.21.2.2.2" xref="p1.1.m1.1.21.2.2.2.cmml">
            <mi mathvariant="normal" id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">Φ</mi>
            <mo id="p1.1.m1.1.21.2.2.2.1" xref="p1.1.m1.1.21.2.2.2.1.cmml">⁢</mo>
            <mrow id="p1.1.m1.1.21.2.2.2.2" xref="p1.1.m1.1.21.2.2.2.2.1.cmml">
              <mo stretchy="false" id="p1.1.m1.1.11" xref="p1.1.m1.1.21.2.2.2.2.1.cmml">(</mo>
              <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">t</mi>
              <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.21.2.2.2.2.1.cmml">,</mo>
              <msub id="p1.1.m1.1.21.2.2.2.2.2" xref="p1.1.m1.1.21.2.2.2.2.2.cmml">
                <mover accent="true" id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">
                  <mi id="p1.1.m1.1.14.2" xref="p1.1.m1.1.14.2.cmml">y</mi>
                  <mo stretchy="false" id="p1.1.m1.1.14.1" xref="p1.1.m1.1.14.1.cmml">¯</mo>
                </mover>
                <mn id="p1.1.m1.1.15.1" xref="p1.1.m1.1.15.1.cmml">0</mn>
              </msub>
              <mo stretchy="false" id="p1.1.m1.1.16" xref="p1.1.m1.1.21.2.2.2.2.1.cmml">)</mo>
            </mrow>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.17" xref="p1.1.m1.1.21.2.1.1.cmml">|</mo>
      </mrow>
      <mo id="p1.1.m1.1.21.1" xref="p1.1.m1.1.21.1.cmml">⁢</mo>
      <mover accent="true" id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">
        <mi id="p1.1.m1.1.18.2" xref="p1.1.m1.1.18.2.cmml"/>
        <mo stretchy="false" id="p1.1.m1.1.18.1" xref="p1.1.m1.1.18.1.cmml">~</mo>
      </mover>
      <mo id="p1.1.m1.1.21.1a" xref="p1.1.m1.1.21.1.cmml">⁢</mo>
      <msup id="p1.1.m1.1.21.3" xref="p1.1.m1.1.21.3.cmml">
        <mi id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">e</mi>
        <mrow id="p1.1.m1.1.20.1" xref="p1.1.m1.1.20.1.cmml">
          <mi id="p1.1.m1.1.20.1.1" xref="p1.1.m1.1.20.1.1.cmml">λ</mi>
          <mo id="p1.1.m1.1.20.1.3" xref="p1.1.m1.1.20.1.3.cmml">⁢</mo>
          <mi id="p1.1.m1.1.20.1.2" xref="p1.1.m1.1.20.1.2.cmml">t</mi>
        </mrow>
      </msup>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">
        <times id="p1.1.m1.1.21.1.cmml" xref="p1.1.m1.1.21.1"/>
        <apply id="p1.1.m1.1.21.2.1.cmml" xref="p1.1.m1.1.21.2">
          <abs id="p1.1.m1.1.21.2.1.1.cmml" xref="p1.1.m1.1.1"/>
          <apply id="p1.1.m1.1.21.2.2.cmml" xref="p1.1.m1.1.21.2.2">
            <minus id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"/>
            <apply id="p1.1.m1.1.21.2.2.1.cmml" xref="p1.1.m1.1.21.2.2.1">
              <times id="p1.1.m1.1.21.2.2.1.1.cmml" xref="p1.1.m1.1.21.2.2.1.1"/>
              <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">Φ</ci>
              <interval closure="open" id="p1.1.m1.1.21.2.2.1.2.1.cmml" xref="p1.1.m1.1.21.2.2.1.2">
                <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑡</ci>
                <apply id="p1.1.m1.1.21.2.2.1.2.2.cmml" xref="p1.1.m1.1.21.2.2.1.2.2">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.21.2.2.1.2.2.1.cmml" xref="p1.1.m1.1.21.2.2.1.2.2">subscript</csymbol>
                  <apply id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">
                    <ci id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">¯</ci>
                    <ci id="p1.1.m1.1.6.2.cmml" xref="p1.1.m1.1.6.2">𝑥</ci>
                  </apply>
                  <cn type="integer" id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">0</cn>
                </apply>
              </interval>
            </apply>
            <apply id="p1.1.m1.1.21.2.2.2.cmml" xref="p1.1.m1.1.21.2.2.2">
              <times id="p1.1.m1.1.21.2.2.2.1.cmml" xref="p1.1.m1.1.21.2.2.2.1"/>
              <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">Φ</ci>
              <interval closure="open" id="p1.1.m1.1.21.2.2.2.2.1.cmml" xref="p1.1.m1.1.21.2.2.2.2">
                <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝑡</ci>
                <apply id="p1.1.m1.1.21.2.2.2.2.2.cmml" xref="p1.1.m1.1.21.2.2.2.2.2">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.21.2.2.2.2.2.1.cmml" xref="p1.1.m1.1.21.2.2.2.2.2">subscript</csymbol>
                  <apply id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">
                    <ci id="p1.1.m1.1.14.1.cmml" xref="p1.1.m1.1.14.1">¯</ci>
                    <ci id="p1.1.m1.1.14.2.cmml" xref="p1.1.m1.1.14.2">𝑦</ci>
                  </apply>
                  <cn type="integer" id="p1.1.m1.1.15.1.cmml" xref="p1.1.m1.1.15.1">0</cn>
                </apply>
              </interval>
            </apply>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">
          <ci id="p1.1.m1.1.18.1.cmml" xref="p1.1.m1.1.18.1">~</ci>
          <csymbol cd="latexml" id="p1.1.m1.1.18.2.cmml" xref="p1.1.m1.1.18.2">absent</csymbol>
        </apply>
        <apply id="p1.1.m1.1.21.3.cmml" xref="p1.1.m1.1.21.3">
          <csymbol cd="ambiguous" id="p1.1.m1.1.21.3.1.cmml" xref="p1.1.m1.1.21.3">superscript</csymbol>
          <ci id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">𝑒</ci>
          <apply id="p1.1.m1.1.20.1.cmml" xref="p1.1.m1.1.20.1">
            <times id="p1.1.m1.1.20.1.3.cmml" xref="p1.1.m1.1.20.1.3"/>
            <ci id="p1.1.m1.1.20.1.1.cmml" xref="p1.1.m1.1.20.1.1">𝜆</ci>
            <ci id="p1.1.m1.1.20.1.2.cmml" xref="p1.1.m1.1.20.1.2">𝑡</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\left|\Phi(t,{{{\bar{x}}}_{0}})-\Phi(t,{{{\bar{y}}%
}_{0}})\right|\tilde{\ }{{e}^{\lambda t}}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (1.082 KB / 339 B) :

|Φ(t,x¯0)−Φ(t,y¯0)|~eλt
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">&#x03A6;</mi><mo stretchy="false">(</mo><mi>t</mi><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>0</mn></mrow></msub><mo stretchy="false">)</mo><mo>&#x2212;</mo><mi mathvariant="normal">&#x03A6;</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>y</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo>~</mo></mover></mrow></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BB;</mi><mi>t</mi></mrow></mrow></msup></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 Dynamische Systeme und deterministisches Chaos page

Identifiers

  • Φ
  • t
  • x¯0
  • Φ
  • t
  • y¯0
  • ~
  • e
  • λ
  • t

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“