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irreducible mapping

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  • Rational mapping — In mathematics, in particular the subfield of algebraic geometry, a rational map is a kind of partial function between algebraic varieties. In this article we use the convention that varieties are irreducible.DefinitionA first attemptSuppose we… …   Wikipedia

  • Coding theory approaches to nucleic acid design — DNA code construction refers to the application of coding theory to the design of nucleic acid systems for the field of DNA–based computation. Contents 1 Introduction 2 Definitions 2.1 Property U 2 …   Wikipedia

  • Spectrum of a C*-algebra — The spectrum of a C* algebra or dual of a C* algebra A, denoted Â, is the set of unitary equivalence classes of irreducible * representations of A. A * representation π of A on a Hilbert space H is irreducible if, and only if, there is no closed… …   Wikipedia

  • Representation theory of finite groups — In mathematics, representation theory is a technique for analyzing abstract groups in terms of groups of linear transformations. See the article on group representations for an introduction. This article discusses the representation theory of… …   Wikipedia

  • Geometrization conjecture — Thurston s geometrization conjecture states that compact 3 manifolds can be decomposed canonically into submanifolds that have geometric structures. The geometrization conjecture is an analogue for 3 manifolds of the uniformization theorem for… …   Wikipedia

  • Modular group — For a group whose lattice of subgroups is modular see Iwasawa group. In mathematics, the modular group Γ is a fundamental object of study in number theory, geometry, algebra, and many other areas of advanced mathematics. The modular group can be… …   Wikipedia

  • System of imprimitivity — The concept of system of imprimitivity is used in mathematics, particularly in algebra and analysis, both within the context of the theory of group representations. It was used by George Mackey as the basis for his theory of induced unitary… …   Wikipedia

  • Heegaard splitting — In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3 manifold that results from dividing it into two handlebodies. The importance of Heegaard splittings has grown in recent years as more …   Wikipedia

  • Lie group — Lie groups …   Wikipedia

  • Haken manifold — In mathematics, a Haken manifold is a compact, P² irreducible 3 manifold that contains a two sided incompressible surface. Sometimes one considers only orientable Haken manifolds, in which case a Haken manifold is a compact, orientable,… …   Wikipedia

  • Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… …   Wikipedia

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