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Display information for equation id:math.2020.3 on revision:2020
* Page found: Deterministisches Chaos (eq math.2020.3)
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Hash: 5ebbd8b9d5098be8d170ecc220e22eca
TeX (original user input):
\left\langle x(t)x(t+\tau ) \right\rangle :=\begin{matrix}
\lim \\
T\to \infty \\
\end{matrix}\frac{1}{2T}\int_{-T}^{T}{x(t)x(t+\tau )d\tau }
TeX (checked):
\left\langle x(t)x(t+\tau )\right\rangle :={\begin{matrix}\lim \\T\to \infty \\\end{matrix}}{\frac {1}{2T}}\int _{-T}^{T}{x(t)x(t+\tau )d\tau }
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MathML (1.395 KB / 409 B) :
<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><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><mi>:</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>lim</mi></mtd></mtr><mtr><mtd><mi>T</mi><mo accent="false">→</mo><mi mathvariant="normal">∞</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><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>T</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>T</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><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><mi>d</mi><mi>τ</mi></mrow></mstyle></mrow></math>
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