differential neighborhood

  • 21Lie derivative — In mathematics, the Lie derivative, named after Sophus Lie by Władysław Ślebodziński, evaluates the change of one vector field along the flow of another vector field.The Lie derivative is a derivation on the algebra of tensor fields over a… …

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  • 22Connection (mathematics) — In geometry, the notion of a connection makes precise the idea of transporting data along a curve or family of curves in a parallel and consistent manner. There are a variety of kinds of connections in modern geometry, depending on what sort of… …

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  • 23Surface — This article discusses surfaces from the point of view of topology. For other uses, see Differential geometry of surfaces, algebraic surface, and Surface (disambiguation). An open surface with X , Y , and Z contours shown. In mathematics,… …

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  • 24Darboux's theorem — This article is about Darboux s theorem in symplectic geometry. For Darboux s theorem related to the intermediate value theorem, see Darboux s theorem (analysis). Darboux s theorem is a theorem in the mathematical field of differential geometry… …

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  • 25Attractor — For other uses, see Attractor (disambiguation). Visual representation of a strange attractor An attractor is a set towards which a dynamical system evolves over time. That is, points that get close enough to the attractor remain close even if… …

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  • 26Stability theory — In mathematics, stability theory deals with the stability of solutions (or sets of solutions) for differential equations and dynamical systems. Definition Let (R, X, Φ) be a real dynamical system with R the real numbers, X a locally compact… …

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  • 27Stein's method — is a general method in probability theory to obtain bounds on the distance between two probability distributions with respect to a probability metric. It was introduced by Charles Stein, who first published it 1972,[1] to obtain a bound between… …

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  • 28KIBBUTZ MOVEMENT — The kibbutz, or kevuẓah (plural: kibbutzim, kevuẓot) is a voluntary collective community, mainly agricultural, in which there is no private wealth and which is responsible for all the needs of the members and their families. The kibbutz movement… …

    Encyclopedia of Judaism

  • 29Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …

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  • 30Lewy's example — In mathematics, in the field partial differential equations, Lewy s example is a celebrated example, due to Hans Lewy, of a linear partial differential equation with no solutions. It removes the hope that the analog of the Cauchy Kovalevskaya… …

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