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Display information for equation id:math.1107.230 on revision:1107
* Page found: ART-Skript (eq math.1107.230)
(force rerendering)Occurrences on the following pages:
Hash: 436f754bd1d07a1c6e13999077bde9c9
TeX (original user input):
d_{\tau }^{2}{{x}^{i}}=-\frac{1}{2}{{c}^{2}}{{\partial }_{i}}{{h}_{00}}{{\left( {{d}_{\tau }}t \right)}^{2}}\to d_{t}^{2}{{x}^{i}}=-\frac{{{c}^{2}}}{2}{{h}_{00,i}}\to {{g}_{00}}=1+{{h}_{00}}=1+\frac{2\phi }{c}
TeX (checked):
d_{\tau }^{2}{{x}^{i}}=-{\frac {1}{2}}{{c}^{2}}{{\partial }_{i}}{{h}_{00}}{{\left({{d}_{\tau }}t\right)}^{2}}\to d_{t}^{2}{{x}^{i}}=-{\frac {{c}^{2}}{2}}{{h}_{00,i}}\to {{g}_{00}}=1+{{h}_{00}}=1+{\frac {2\phi }{c}}
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MathML (2.135 KB / 405 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mi>d</mi><mrow data-mjx-texclass="ORD"><mi>τ</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup><mo>=</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>h</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mn>0</mn></mrow></mrow></msub><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>d</mi><mrow data-mjx-texclass="ORD"><mi>τ</mi></mrow></msub><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo accent="false">→</mo><msubsup><mi>d</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup><mo>=</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msub><mi>h</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mn>0</mn><mo>,</mo><mi>i</mi></mrow></mrow></msub><mo accent="false">→</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mn>0</mn></mrow></mrow></msub><mo>=</mo><mn>1</mn><mo>+</mo><msub><mi>h</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mn>0</mn></mrow></mrow></msub><mo>=</mo><mn>1</mn><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>ϕ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></mfrac></mrow></mstyle></mrow></math>
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