- holonomic coordinates
- мат.голономные координаты
English-Russian scientific dictionary. 2008.
English-Russian scientific dictionary. 2008.
Holonomic — 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 … Wikipedia
Holonomic 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 … Wikipedia
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
Nonholonomic 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… … Wikipedia
D-module — In mathematics, a D module is a module over a ring D of differential operators. The major interest of such D modules is as an approach to the theory of linear partial differential equations. Since around 1970, D module theory has been built up,… … Wikipedia
Homotopy principle — In mathematics, the homotopy principle (or h principle) is a very general way to solve partial differential equations (PDEs), and more generally partial differential relations (PDRs). The h principle is good for underdetermined PDEs or PDRs, such … Wikipedia
Lagrangian 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… … Wikipedia
Multibody 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 … Wikipedia
List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… … Wikipedia
Monogenic system — In physics, among the most studied physical systems in classical mechanics are monogenic systems. A monogenic system has excellent mathematical characteristics and is very well suited for mathematical analysis. It is considered a logical starting … Wikipedia
Constraint 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… … Wikipedia