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Display information for equation id:math.1109.244 on revision:1109
* Page found: ART-Skript (eq math.1109.244)
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TeX (original user input):
\Rightarrow {{T}^{00}}\approx \rho {{c}^{2}},\frac{{{T}^{0i}}}{{{T}^{00}}}\approx \frac{{{v}^{i}}}{{{c}^{2}}}\ll 1,\frac{{{T}^{ij}}}{{{T}^{00}}}=O\left( \frac{{{v}^{2}}}{{{c}^{2}}} \right)\ll 1
TeX (checked):
\Rightarrow {{T}^{00}}\approx \rho {{c}^{2}},{\frac {{T}^{0i}}{{T}^{00}}}\approx {\frac {{v}^{i}}{{c}^{2}}}\ll 1,{\frac {{T}^{ij}}{{T}^{00}}}=O\left({\frac {{v}^{2}}{{c}^{2}}}\right)\ll 1
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<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo>⇒</mo><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mn>0</mn></mrow></mrow></msup><mo>≈</mo><mi>ρ</mi><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>,</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mi>i</mi></mrow></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mn>0</mn></mrow></mrow></msup></mrow></mfrac></mrow><mo>≈</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo>≪</mo><mn>1</mn><mo>,</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mn>0</mn></mrow></mrow></msup></mrow></mfrac></mrow><mo>=</mo><mi>O</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>≪</mo><mn>1</mn></mstyle></mrow></math>
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