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Display information for equation id:math.1500.15 on revision:1500

* Page found: Generalisierte Koordinaten (eq math.1500.15)

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\sum\limits_{i}^{{}}{{{{\vec{X}}}_{i}}\delta {{{\vec{r}}}_{i}}}=\sum\limits_{j}{\left\{ \sum\limits_{i}^{{}}{{{{\vec{X}}}_{i}}\frac{\partial {{{\bar{r}}}_{i}}}{\partial {{q}_{j}}}} \right\}\delta q_{j}^{{}}}=\sum\limits_{j=1}^{f}{{{Q}_{j}}\delta }q_{j}^{{}}

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∑ i X → i ⁢ δ ⁢ r → i = ∑ j { ∑ i X → i ⁢ ∂ ⁡ r ¯ i ∂ ⁡ q j } ⁢ δ ⁢ q j = ∑ j = 1 f Q j ⁢ δ ⁢ q j subscript 𝑖 subscript → 𝑋 𝑖 𝛿 subscript → 𝑟 𝑖 subscript 𝑗 subscript 𝑖 subscript → 𝑋 𝑖 subscript ¯ 𝑟 𝑖 subscript 𝑞 𝑗 𝛿 subscript 𝑞 𝑗 superscript subscript 𝑗 1 𝑓 subscript 𝑄 𝑗 𝛿 subscript 𝑞 𝑗 {\displaystyle{\displaystyle\sum\limits_{i}{{{{\vec{X}}}_{i}}\delta{{{\vec{r}}% }_{i}}}=\sum\limits_{j}{\left\{\sum\limits_{i}{{{{\vec{X}}}_{i}}\frac{\partial% {{{\bar{r}}}_{i}}}{\partial{{q}_{j}}}}\right\}\delta q_{j}}=\sum\limits_{j=1}^% {f}{{{Q}_{j}}\delta}q_{j}}}

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∑iX→iδr→i=∑j{∑iX→i∂r¯i∂qj}δqj=∑j=1fQjδqj

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