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Display information for equation id:math.1199.219 on revision:1199
* Page found: Elektrodynamik Schöll (eq math.1199.219)
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Hash: 071ea835010c1282280cbb25e0438739
TeX (original user input):
\int_{\partial V}^{{}}{d\bar{f}\cdot \left( \phi \nabla \psi \right)=}\int_{V}^{{}}{{{d}^{3}}r\nabla \cdot \left( \phi \nabla \psi \right)}=\int_{V}^{{}}{{{d}^{3}}r\nabla \phi \nabla \psi +\phi \Delta \psi }
TeX (checked):
\int _{\partial V}^{}{d{\bar {f}}\cdot \left(\phi \nabla \psi \right)=}\int _{V}^{}{{{d}^{3}}r\nabla \cdot \left(\phi \nabla \psi \right)}=\int _{V}^{}{{{d}^{3}}r\nabla \phi \nabla \psi +\phi \Delta \psi }
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MathML (1.8 KB / 360 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>V</mi></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>f</mi><mo>¯</mo></mover></mrow></mrow><mo>⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ϕ</mi><mi mathvariant="normal">∇</mi><mi>ψ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mi mathvariant="normal">∇</mi><mo>⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ϕ</mi><mi mathvariant="normal">∇</mi><mi>ψ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mi mathvariant="normal">∇</mi><mi>ϕ</mi><mi mathvariant="normal">∇</mi><mi>ψ</mi><mo>+</mo><mi>ϕ</mi><mi mathvariant="normal">Δ</mi><mi>ψ</mi></mrow></mstyle></mrow></math>
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