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Display information for equation id:math.1515.2 on revision:1515

* Page found: Normalschwingungen (eq math.1515.2)

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V({{q}_{1}},...,{{q}_{f}})=V(0,....,0)+\sum\limits_{j}{{{\left( \frac{\partial V}{\partial {{q}_{j}}} \right)}_{0}}{{q}_{j}}+\frac{1}{2}\sum\limits_{j,k}{{{\left( \frac{{{\partial }^{2}}V}{\partial {{q}_{j}}\partial {{q}_{k}}} \right)}_{0}}{{q}_{j}}{{q}_{k}}+...}}

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V ( q 1 , … , q f ) = V ( 0 , … . , 0 ) + ∑ j ( ∂ ⁡ V ∂ ⁡ q j ) 0 q j + 1 2 ∑ j , k ( ∂ 2 ⁡ V ∂ ⁡ q j ⁢ ∂ ⁡ q k ) 0 q j q k + … fragments V fragments ( subscript 𝑞 1 , … , subscript 𝑞 𝑓 ) V fragments ( 0 , … . , 0 ) subscript 𝑗 subscript fragments ( 𝑉 subscript 𝑞 𝑗 ) 0 subscript 𝑞 𝑗 1 2 subscript 𝑗 𝑘 subscript fragments ( superscript 2 𝑉 subscript 𝑞 𝑗 subscript 𝑞 𝑘 ) 0 subscript 𝑞 𝑗 subscript 𝑞 𝑘 … {\displaystyle{\displaystyle V({{q}_{1}},...,{{q}_{f}})=V(0,....,0)+\sum% \limits_{j}{{{\left(\frac{\partial V}{\partial{{q}_{j}}}\right)}_{0}}{{q}_{j}}% +\frac{1}{2}\sum\limits_{j,k}{{{\left(\frac{{{\partial}^{2}}V}{\partial{{q}_{j% }}\partial{{q}_{k}}}\right)}_{0}}{{q}_{j}}{{q}_{k}}+...}}}}

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V(q1,...,qf)=V(0,....,0)+∑j(∂V∂qj)0qj+12∑j,k(∂2V∂qj∂qk)0qjqk+...

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