- generalized coordinates
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the least number of coordinates needed to specify the state of a given system.[1880-85]
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Universalium. 2010.
generalized coordinates
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Generalized coordinates — By deriving equations of motion in terms of a general set of generalized coordinates, the results found will be valid for any coordinate system that is ultimately specified. cite book |last=Torby |first=Bruce |title=Advanced Dynamics for… … Wikipedia
generalized coordinates — apibendrintosios koordinatės statusas T sritis fizika atitikmenys: angl. generalized coordinates vok. verallgemeinerte Koordinaten, f rus. обобщённые координаты, f pranc. coordonnées généralisées, f … Fizikos terminų žodynas
generalized coordinates — Physics. the least number of coordinates needed to specify the state of a given system. [1880 85] … Useful english dictionary
Generalized forces — are defined via coordinate transformation of applied forces, mathbf{F} i, on a system of n particles, i. The concept finds use in Lagrangian mechanics, where it plays a conjugate role to generalized coordinates.A convenient equation from which to … Wikipedia
Generalized force — The idea of a Generalized Force is a concept stemming from Lagrangian mechanics. It is a consequence of the application of generalized coordinates to a system undergoing acceleration.When a particle undergoes a virtual displacement delta… … Wikipedia
Generalized keyboard — Generalized keyboards are musical keyboards with regular, tile like arrangements usually with rectangular or hexagonal keys, and were developed for performing music in different tunings. They were introduced by Robert Bosanquet in the 1870s, and… … Wikipedia
Generalized function — In mathematics, generalized functions are objects generalizing the notion of functions. There is more than one recognised theory. Generalized functions are especially useful in making discontinuous functions more like smooth functions, and (going … Wikipedia
Generalized permutation matrix — In mathematics, a generalized permutation matrix (or monomial matrix) is a matrix with the same nonzero pattern as a permutation matrix, i.e. there is exactly one nonzero entry in each row and each column. Unlike a permutation matrix, where the… … Wikipedia
Generalized Helmholtz theorem — The generalized Helmholtz theorem is the multi dimensional generalization of the Helmholtz theorem which is valid only in one dimension. The generalized Helmholtz theorem reads as follows.Let:mathbf{p}=(p 1,p 2,...,p s), :mathbf{q}=(q 1,q 2,...,q … Wikipedia
Action-angle coordinates — In classical mechanics, action angle coordinates are a set of canonical coordinates useful in solving many integrable systems. The method of action angles is useful for obtaining the frequencies of oscillatory or rotational motion without solving … Wikipedia
