generalized coordinates

  • 1Generalized 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… …

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  • 2generalized coordinates — apibendrintosios koordinatės statusas T sritis fizika atitikmenys: angl. generalized coordinates vok. verallgemeinerte Koordinaten, f rus. обобщённые координаты, f pranc. coordonnées généralisées, f …

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  • 3generalized coordinates — Physics. the least number of coordinates needed to specify the state of a given system. [1880 85] * * * …

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  • 4generalized coordinates — Physics. the least number of coordinates needed to specify the state of a given system. [1880 85] …

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  • 5Generalized 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 …

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  • 6Generalized 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… …

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  • 7Generalized 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… …

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  • 8Generalized 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 …

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  • 9Generalized 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… …

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  • 10Generalized 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 …

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