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Display information for equation id:math.2024.9 on revision:2024
* Page found: Deterministisches Chaos (eq math.2024.9)
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Hash: e81bfb06c630f606f9957b1694d7fd3f
TeX (original user input):
S(\omega )=\frac{1}{2\pi }\int_{-\infty }^{+\infty }{\left\langle x(t)x(t+\tau ) \right\rangle {{e}^{i\omega \tau }}d\tau }
TeX (checked):
S(\omega )={\frac {1}{2\pi }}\int _{-\infty }^{+\infty }{\left\langle x(t)x(t+\tau )\right\rangle {{e}^{i\omega \tau }}d\tau }
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MathML (1.295 KB / 369 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>S</mi><mo stretchy="false">(</mo><mi>ω</mi><mo stretchy="false">)</mo><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi></mrow></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi mathvariant="normal">∞</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>+</mo><mi mathvariant="normal">∞</mi></mrow></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mi>x</mi><mo stretchy="false">(</mo><mi>t</mi><mo>+</mo><mi>τ</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>ω</mi><mi>τ</mi></mrow></mrow></msup><mi>d</mi><mi>τ</mi></mrow></mstyle></mrow></math>
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