diffeomorphism
91Morse–Palais lemma — In mathematics, the Morse–Palais lemma is a result in the calculus of variations and theory of Hilbert spaces. Roughly speaking, it states that a smooth enough function near a critical point can be expressed as a quadratic form after a suitable… …
92Automorphism — In mathematics, an automorphism is an isomorphism from a mathematical object to itself. It is, in some sense, a symmetry of the object, and a way of mapping the object to itself while preserving all of its structure. The set of all automorphisms… …
93Bijection — A bijective function, f:X→Y, where set X is {1, 2, 3, 4} and set Y is {A, B, C, D}. For example, f(1) = D. A bijection (or bijective function or one to one correspondence) is a function giving an exact pairing of the elements of two… …
94Bernoulli number — In mathematics, the Bernoulli numbers Bn are a sequence of rational numbers with deep connections to number theory. They are closely related to the values of the Riemann zeta function at negative integers. There are several conventions for… …
95Classification of finite simple groups — Group theory Group theory …
96Euclidean space — Every point in three dimensional Euclidean space is determined by three coordinates. In mathematics, Euclidean space is the Euclidean plane and three dimensional space of Euclidean geometry, as well as the generalizations of these notions to… …
97Homomorphism — In abstract algebra, a homomorphism is a structure preserving map between two algebraic structures (such as groups, rings, or vector spaces). The word homomorphism comes from the Greek language: ὁμός (homos) meaning same and μορφή (morphe)… …
98Homeomorphism — Topological equivalence redirects here; see also topological equivalence (dynamical systems). donut illustrating that they are homeomorphic. But there does not need to be a continuous deformation for two spaces to be homeomorphic.In the… …
99Inertial frame of reference — In physics, an inertial frame of reference is a frame of reference which belongs to a set of frames in which physical laws hold in the same and simplest form. According to the first postulate of special relativity, all physical laws take their… …
100Lie algebra — In mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable manifolds. Lie algebras were introduced to study the concept of infinitesimal transformations. The term… …
