Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.1257.96 on revision:1257

* Page found: Das d'Alembertsche Prinzip (eq math.1257.96)

(force rerendering)

Occurrences on the following pages:

Hash: 8199338a169cca66a70bd7d5edfdb9a2

TeX (original user input): 

\left\{ {{{\vec{r}}}_{1}}(t),{{{\vec{r}}}_{2}}(t),{{{\vec{r}}}_{3}}(t),...{{{\vec{r}}}_{N}}(t) \right\}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (7.398 KB / 1.134 KB) :

{ r → 1 ⁢ ( t ) , r → 2 ⁢ ( t ) , r → 3 ⁢ ( t ) , … ⁢ r → N ⁢ ( t ) } subscript → 𝑟 1 𝑡 subscript → 𝑟 2 𝑡 subscript → 𝑟 3 𝑡 … subscript → 𝑟 𝑁 𝑡 {\displaystyle{\displaystyle\left\{{{{\vec{r}}}_{1}}(t),{{{\vec{r}}}_{2}}(t),{% {{\vec{r}}}_{3}}(t),...{{{\vec{r}}}_{N}}(t)\right\}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\left\{{{{\vec{r}}}_{1}}(t),{{{\vec{r}}}_{2}}(t),{%&#10;{{\vec{r}}}_{3}}(t),...{{{\vec{r}}}_{N}}(t)\right\}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.29" xref="p1.1.m1.1.29.1.cmml">
      <mo id="p1.1.m1.1.1" xref="p1.1.m1.1.29.1.cmml">{</mo>
      <mrow id="p1.1.m1.1.29.2" xref="p1.1.m1.1.29.2.cmml">
        <msub id="p1.1.m1.1.29.2.2" xref="p1.1.m1.1.29.2.2.cmml">
          <mover accent="true" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">
            <mi id="p1.1.m1.1.2.2" xref="p1.1.m1.1.2.2.cmml">r</mi>
            <mo stretchy="false" id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">→</mo>
          </mover>
          <mn id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">1</mn>
        </msub>
        <mo id="p1.1.m1.1.29.2.1" xref="p1.1.m1.1.29.2.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.29.2.3" xref="p1.1.m1.1.29.2.cmml">
          <mo stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.29.2.cmml">(</mo>
          <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">t</mi>
          <mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.29.2.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.29.1.cmml">,</mo>
      <mrow id="p1.1.m1.1.29.3" xref="p1.1.m1.1.29.3.cmml">
        <msub id="p1.1.m1.1.29.3.2" xref="p1.1.m1.1.29.3.2.cmml">
          <mover accent="true" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">
            <mi id="p1.1.m1.1.8.2" xref="p1.1.m1.1.8.2.cmml">r</mi>
            <mo stretchy="false" id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">→</mo>
          </mover>
          <mn id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">2</mn>
        </msub>
        <mo id="p1.1.m1.1.29.3.1" xref="p1.1.m1.1.29.3.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.29.3.3" xref="p1.1.m1.1.29.3.cmml">
          <mo stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.29.3.cmml">(</mo>
          <mi id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">t</mi>
          <mo stretchy="false" id="p1.1.m1.1.12" xref="p1.1.m1.1.29.3.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.29.1.cmml">,</mo>
      <mrow id="p1.1.m1.1.29.4" xref="p1.1.m1.1.29.4.cmml">
        <msub id="p1.1.m1.1.29.4.2" xref="p1.1.m1.1.29.4.2.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">r</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">3</mn>
        </msub>
        <mo id="p1.1.m1.1.29.4.1" xref="p1.1.m1.1.29.4.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.29.4.3" xref="p1.1.m1.1.29.4.cmml">
          <mo stretchy="false" id="p1.1.m1.1.16" xref="p1.1.m1.1.29.4.cmml">(</mo>
          <mi id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">t</mi>
          <mo stretchy="false" id="p1.1.m1.1.18" xref="p1.1.m1.1.29.4.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.19" xref="p1.1.m1.1.29.1.cmml">,</mo>
      <mrow id="p1.1.m1.1.29.5" xref="p1.1.m1.1.29.5.cmml">
        <mi mathvariant="normal" id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">…</mi>
        <mo id="p1.1.m1.1.29.5.1" xref="p1.1.m1.1.29.5.1.cmml">⁢</mo>
        <msub id="p1.1.m1.1.29.5.2" xref="p1.1.m1.1.29.5.2.cmml">
          <mover accent="true" id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">
            <mi id="p1.1.m1.1.23.2" xref="p1.1.m1.1.23.2.cmml">r</mi>
            <mo stretchy="false" id="p1.1.m1.1.23.1" xref="p1.1.m1.1.23.1.cmml">→</mo>
          </mover>
          <mi id="p1.1.m1.1.24.1" xref="p1.1.m1.1.24.1.cmml">N</mi>
        </msub>
        <mo id="p1.1.m1.1.29.5.1a" xref="p1.1.m1.1.29.5.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.29.5.3" xref="p1.1.m1.1.29.5.cmml">
          <mo stretchy="false" id="p1.1.m1.1.25" xref="p1.1.m1.1.29.5.cmml">(</mo>
          <mi id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">t</mi>
          <mo stretchy="false" id="p1.1.m1.1.27" xref="p1.1.m1.1.29.5.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.28" xref="p1.1.m1.1.29.1.cmml">}</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <set id="p1.1.m1.1.29.1.cmml" xref="p1.1.m1.1.29">
        <apply id="p1.1.m1.1.29.2.cmml" xref="p1.1.m1.1.29.2">
          <times id="p1.1.m1.1.29.2.1.cmml" xref="p1.1.m1.1.29.2.1"/>
          <apply id="p1.1.m1.1.29.2.2.cmml" xref="p1.1.m1.1.29.2.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.29.2.2.1.cmml" xref="p1.1.m1.1.29.2.2">subscript</csymbol>
            <apply id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">
              <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">→</ci>
              <ci id="p1.1.m1.1.2.2.cmml" xref="p1.1.m1.1.2.2">𝑟</ci>
            </apply>
            <cn type="integer" id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">1</cn>
          </apply>
          <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑡</ci>
        </apply>
        <apply id="p1.1.m1.1.29.3.cmml" xref="p1.1.m1.1.29.3">
          <times id="p1.1.m1.1.29.3.1.cmml" xref="p1.1.m1.1.29.3.1"/>
          <apply id="p1.1.m1.1.29.3.2.cmml" xref="p1.1.m1.1.29.3.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.29.3.2.1.cmml" xref="p1.1.m1.1.29.3.2">subscript</csymbol>
            <apply id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">
              <ci id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">→</ci>
              <ci id="p1.1.m1.1.8.2.cmml" xref="p1.1.m1.1.8.2">𝑟</ci>
            </apply>
            <cn type="integer" id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">2</cn>
          </apply>
          <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">𝑡</ci>
        </apply>
        <apply id="p1.1.m1.1.29.4.cmml" xref="p1.1.m1.1.29.4">
          <times id="p1.1.m1.1.29.4.1.cmml" xref="p1.1.m1.1.29.4.1"/>
          <apply id="p1.1.m1.1.29.4.2.cmml" xref="p1.1.m1.1.29.4.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.29.4.2.1.cmml" xref="p1.1.m1.1.29.4.2">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">𝑟</ci>
            </apply>
            <cn type="integer" id="p1.1.m1.1.15.1.cmml" xref="p1.1.m1.1.15.1">3</cn>
          </apply>
          <ci id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">𝑡</ci>
        </apply>
        <apply id="p1.1.m1.1.29.5.cmml" xref="p1.1.m1.1.29.5">
          <times id="p1.1.m1.1.29.5.1.cmml" xref="p1.1.m1.1.29.5.1"/>
          <ci id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">…</ci>
          <apply id="p1.1.m1.1.29.5.2.cmml" xref="p1.1.m1.1.29.5.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.29.5.2.1.cmml" xref="p1.1.m1.1.29.5.2">subscript</csymbol>
            <apply id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">
              <ci id="p1.1.m1.1.23.1.cmml" xref="p1.1.m1.1.23.1">→</ci>
              <ci id="p1.1.m1.1.23.2.cmml" xref="p1.1.m1.1.23.2">𝑟</ci>
            </apply>
            <ci id="p1.1.m1.1.24.1.cmml" xref="p1.1.m1.1.24.1">𝑁</ci>
          </apply>
          <ci id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26">𝑡</ci>
        </apply>
      </set>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\left\{{{{\vec{r}}}_{1}}(t),{{{\vec{r}}}_{2}}(t),{%
{{\vec{r}}}_{3}}(t),...{{{\vec{r}}}_{N}}(t)\right\}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (1.251 KB / 283 B) :

{r→1(t),r→2(t),r→3(t),...r→N(t)}
<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><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>→</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>,</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>→</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>,</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>→</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>→</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">}</mo></mrow></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 Das d'Alembertsche Prinzip page

Identifiers

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“