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Display information for equation id:math.1889.35 on revision:1889

* Page found: Variationsprinzipien (eq math.1889.35)

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\delta f=\int\limits_{{{t}_{1}}}^{{{t}_{2}}}{dt\frac{dF(x)}{dx}\delta x(t)}\quad =0\ f\ddot{u}r\ beliebige\ \delta x(t)\ (Extremum)

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δf=t1t2dtdF(x)dxδx(t)=0fu¨rbeliebigeδx(t)(Extremum)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>&#x03B4;</mi><mi>f</mi><mo>=</mo><munderover><mo form="prefix" texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>F</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>x</mi></mrow></mrow></mfrac></mrow><mi>&#x03B4;</mi><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow><mspace width="1em"></mspace><mo>=</mo><mn>0</mn><mspace width="0.5em"/><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>u</mi><mo>¨</mo></mover></mrow></mrow><mi>r</mi><mspace width="0.5em"/><mi>b</mi><mi>e</mi><mi>l</mi><mi>i</mi><mi>e</mi><mi>b</mi><mi>i</mi><mi>g</mi><mi>e</mi><mspace width="0.5em"/><mi>&#x03B4;</mi><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mspace width="0.5em"/><mo stretchy="false">(</mo><mi>E</mi><mi>x</mi><mi>t</mi><mi>r</mi><mi>e</mi><mi>m</mi><mi>u</mi><mi>m</mi><mo stretchy="false">)</mo></mstyle></mrow></math>

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