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Display information for equation id:math.1149.22 on revision:1149
* Page found: Rotierendes Pendel (eq math.1149.22)
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Hash: 78f6112c2c95451f5a9fa1fa0ee3ca5f
TeX (original user input):
\varphi \left( t \right)=a\cos \left( \frac{\Omega }{2}+i\sqrt{\frac{{{\Omega }^{2}}}{4}-g} \right)+b\sin \left( \frac{\Omega }{2}-i\sqrt{\frac{{{\Omega }^{2}}}{4}-g} \right)
TeX (checked):
\varphi \left(t\right)=a\cos \left({\frac {\Omega }{2}}+i{\sqrt {{\frac {{\Omega }^{2}}{4}}-g}}\right)+b\sin \left({\frac {\Omega }{2}}-i{\sqrt {{\frac {{\Omega }^{2}}{4}}-g}}\right)
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MathML (1.681 KB / 339 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>φ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>a</mi><mi>cos</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">Ω</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo>+</mo><mi>i</mi><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi mathvariant="normal">Ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></mfrac></mrow><mo>−</mo><mi>g</mi></mrow></msqrt></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mi>b</mi><mi>sin</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">Ω</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo>−</mo><mi>i</mi><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi mathvariant="normal">Ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></mfrac></mrow><mo>−</mo><mi>g</mi></mrow></msqrt></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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