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Display information for equation id:math.1476.9 on revision:1476

* Page found: Virtuelle Verrückungen (eq math.1476.9)

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TeX (original user input):

\begin{align}
  & f({{{\vec{r}}}_{i}})=\vec{a}\cdot ({{{\vec{r}}}_{i}}-{{{\vec{r}}}_{o}}(t))=0\quad  i=1,2,...,N \\
 & df({{{\vec{r}}}_{i}})=\vec{a}\cdot (d{{{\vec{r}}}_{i}}-{{{\vec{v}}}_{o}}(t)dt)=0\quad  i=1,2,...,N\quad {{{\vec{v}}}_{o}}(t)=\frac{d{{{\vec{r}}}_{o}}(t)}{dt} \\
\end{align}

TeX (checked):

{\begin{aligned}&f({{\vec {r}}_{i}})={\vec {a}}\cdot ({{\vec {r}}_{i}}-{{\vec {r}}_{o}}(t))=0\quad i=1,2,...,N\\&df({{\vec {r}}_{i}})={\vec {a}}\cdot (d{{\vec {r}}_{i}}-{{\vec {v}}_{o}}(t)dt)=0\quad i=1,2,...,N\quad {{\vec {v}}_{o}}(t)={\frac {d{{\vec {r}}_{o}}(t)}{dt}}\\\end{aligned}}

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f(ri)=a(riro(t))=0i=1,2,...,Ndf(ri)=a(drivo(t)dt)=0i=1,2,...,Nvo(t)=dro(t)dt
<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="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mi>f</mi><mo stretchy="false">(</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>i</mi></mrow></msub><mo stretchy="false">)</mo><mo>=</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>a</mi><mo></mo></mover></mrow></mrow><mo>&#x22C5;</mo><mo stretchy="false">(</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>i</mi></mrow></msub><mo>&#x2212;</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>o</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo>=</mo><mn>0</mn><mspace width="1em"></mspace><mi>i</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><mi>N</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>d</mi><mi>f</mi><mo stretchy="false">(</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>i</mi></mrow></msub><mo stretchy="false">)</mo><mo>=</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>a</mi><mo></mo></mover></mrow></mrow><mo>&#x22C5;</mo><mo stretchy="false">(</mo><mi>d</mi><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>i</mi></mrow></msub><mo>&#x2212;</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>v</mi><mo></mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mi>d</mi><mi>t</mi><mo stretchy="false">)</mo><mo>=</mo><mn>0</mn><mspace width="1em"></mspace><mi>i</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><mi>N</mi><mspace width="1em"></mspace><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>v</mi><mo></mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><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>o</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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