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euler-lagrange_equations [2015/03/29 18:57] nikolaj |
euler-lagrange_equations [2015/03/29 18:58] nikolaj |
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| ===== Euler-Lagrange equations ===== | ===== Euler-Lagrange equations ===== | ||
| ==== Set ==== | ==== Set ==== | ||
| - | | @#55CCEE: context | @#55CCEE: $ s\in\mathbb N $ | | + | | @#55CCEE: context | @#55CCEE: $s\in\mathbb N $ | |
| - | | @#55CCEE: context | @#55CCEE: $ L:C^2(\mathbb R^s\times\mathbb R^s\times\mathbb R,\mathbb R) $ | | + | | @#55CCEE: context | @#55CCEE: $L:C^2(\mathbb R^s\times\mathbb R^s\times\mathbb R,\mathbb R) $ | |
| - | | @#FFBB00: definiendum | @#FFBB00: $ q \in \mathrm{it} $ | | + | | @#FFBB00: definiendum | @#FFBB00: $q\in$ it | |
| - | | @#AAFFAA: inclusion | @#AAFFAA: $ q:C(\mathbb R,\mathbb R^s) $ | | + | | @#AAFFAA: inclusion | @#AAFFAA: $q:C(\mathbb R,\mathbb R^s) $ | |
| | @#BBDDEE: let | @#BBDDEE: $\diamond\ q(t)$ | | | @#BBDDEE: let | @#BBDDEE: $\diamond\ q(t)$ | | ||
| | @#BBDDEE: let | @#BBDDEE: $\diamond\ L(x^1,\dots,x^s,v^1,\dots,v^s,t)$ | | | @#BBDDEE: let | @#BBDDEE: $\diamond\ L(x^1,\dots,x^s,v^1,\dots,v^s,t)$ | | ||
