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Display information for equation id:math.2028.3 on revision:2028
* Page found: Deterministisches Chaos (eq math.2028.3)
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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 (1.445 KB / 408 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><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 stretchy="false">+</mo><mi>τ</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">:=</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mo>lim</mo></mtd></mtr><mtr><mtd><mi>T</mi><mo stretchy="false" accent="false">→</mo><mi mathvariant="normal">∞</mi></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></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><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>T</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msubsup><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 stretchy="false">+</mo><mi>τ</mi><mo stretchy="false">)</mo><mi>d</mi><mi>τ</mi></mrow></mstyle></mrow></math>
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