holonomic constraints

  • 1Holonomic constraints — In a system of point particles, holonomic constraints can be expressed in the following form:f(q 1, q 2, q 3,ldots, q {n}, t) = 0, where { q 1, q 2, q 3, ldots, q {n} }, are the coordinates of the n particles. Holonomic constraints are rigid. For …

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  • 2Holonomic — In mathematics and physics, the term holonomic may occur with several different meanings. Contents 1 Holonomic basis 2 Holonomic system (physics) 2.1 Transformation to general coordinates …

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  • 3Holonomic brain theory — The holonomic brain theory, originated by psychologist Karl Pribram and initially developed in collaboration with physicist David Bohm, is a model for human cognition that is drastically different from conventionally accepted ideas: Pribram and… …

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  • 4Nonholonomic system — A nonholonomic system in physics and mathematics is a system whose state depends on the path taken to achieve it. Such a system is described by a set of parameters subject to differential constraints, such that when the system evolves along a… …

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  • 5Multibody system — A multibody system is used to model the dynamic behavior of interconnected rigid or flexible bodies, each of which may undergo large translational and rotational displacements. Contents 1 Introduction 2 Applications 3 Example 4 Concept …

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  • 6Lagrangian mechanics — is a re formulation of classical mechanics that combines conservation of momentum with conservation of energy. It was introduced by Italian mathematician Lagrange in 1788. In Lagrangian mechanics, the trajectory of a system of particles is… …

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  • 7Dirac bracket — The Dirac bracket is a generalization of the Poisson bracket developed by Paul Dirac to correctly treat systems with second class constraints in Hamiltonian mechanics and canonical quantization. It is an important part of Dirac s development of… …

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  • 8Constraint algorithm — In mechanics, a constraint algorithm is a method for satisfying constraints for bodies that obey Newton s equations of motion. There are three basic approaches to satisfying such constraints: choosing novel unconstrained coordinates ( internal… …

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  • 9Verlet integration — (IPA all|veʁ le) is a method used to integrate Newton s equations of motion. It is frequently used to calculate trajectories of particles in molecular dynamics simulations and video games. The verlet integrator offers greater stability than the… …

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  • 10Релятивистская механика — Релятивистская механика  раздел физики, рассматривающий законы механики (законы движения тел и частиц) при скоростях, сравнимых со скоростью света. При скоростях значительно меньших скорости света переходит в классическую (ньютоновскую)… …

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