endomorphism

  • 111Commutative diagram — For help on drawing commutative diagrams on Wikipedia, see meta:Help:Displaying a formula#Commutative diagrams. In mathematics, and especially in category theory, a commutative diagram is a diagram of objects (also known as vertices) and… …

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  • 112Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… …

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  • 113Weil conjectures — In mathematics, the Weil conjectures, which had become theorems by 1974, were some highly influential proposals from the late 1940s by André Weil on the generating functions (known as local zeta functions) derived from counting the number of… …

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  • 114Diagonalizable matrix — In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P −1AP is a diagonal matrix. If V is a finite dimensional vector space, then a linear …

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  • 115Group cohomology — This article is about homology and cohomology of a group. For homology or cohomology groups of a space or other object, see Homology (mathematics). In abstract algebra, homological algebra, algebraic topology and algebraic number theory, as well… …

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  • 116Ergodic theory — is a branch of mathematics that studies dynamical systems with an invariant measure and related problems. Its initial development was motivated by problems of statistical physics. A central concern of ergodic theory is the behavior of a dynamical …

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  • 117Peter–Weyl theorem — In mathematics, the Peter–Weyl theorem is a basic result in the theory of harmonic analysis, applying to topological groups that are compact, but are not necessarily abelian. It was initially proved by Hermann Weyl, with his student Peter, in the …

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  • 118Hodge dual — In mathematics, the Hodge star operator or Hodge dual is a significant linear map introduced in general by W. V. D. Hodge. It is defined on the exterior algebra of a finite dimensional oriented inner product space. Contents 1 Dimensions and… …

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  • 119Lie algebra representation — Lie groups …

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  • 120Atiyah–Singer index theorem — In the mathematics of manifolds and differential operators, the Atiyah–Singer index theorem states that for an elliptic differential operator on a compact manifold, the analytical index (closely related to the dimension of the space of solutions) …

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