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- W194670919 abstract "Let ({mathcal{M};dmu })be a material system whose mechanical state is described by N Lagrangian coordinates (q = ({q}_{1},ldots, {q}_{N})). Since every point (P in {mathcal{M};dmu })is identified along its motion by the map (q, t) → P(q, t), the configuration of the system is determined, instant by instant, by the map (t rightarrow q(t) : mathbb{R} rightarrow {mathbb{R}}^{N}). The latter can be regarded as the motion of some abstract point in some N-dimensional space, called configuration space. Since N is the least numberof parameters needed to identify uniquely the position of each point P of the system, each of the maps ({mathcal{M};dmu } ni P rightarrow | partial P/partial {q}_{h}|), (h = 1,ldots, N), is not identically zero. Equivalently, we have the following lemma." @default.
- W194670919 created "2016-06-24" @default.
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- W194670919 date "2010-09-14" @default.
- W194670919 modified "2023-09-27" @default.
- W194670919 title "The Lagrange Equations" @default.
- W194670919 doi "https://doi.org/10.1007/978-0-8176-4648-6_6" @default.
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