homotopy group

  • 111Size pair — In size theory, a size pair is a pair (M,varphi), where M is a compact topological space and varphi:M o mathbb{R}^k is a continuous function Patrizio Frosini, Claudia Landi, Size theory as a topological tool for computer vision , Pattern… …

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  • 112Measuring function — In size theory, a measuring function is a continuous function from a topological space M to mathbb{R}^k . Patrizio Frosini, Claudia Landi, Size theory as a topological tool for computer vision , Pattern Recognition And Image Analysis, 9(4):596… …

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  • 113K(Z,2) — In algebraic topology, homotopy theory, and the theory of classifying spaces, the Eilenberg MacLane space K ( Z , 2) (alternatively, K(mathbb{Z},2)) is the topological space the homotopy groups of which satisfy pi; i = 0 for i = 1 and i > 2,… …

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  • 114List of letters used in mathematics and science — Some common conventions: * Intensive quantities in physics are usually denoted with minuscules, while extensive are denoted with capital letters. * Most symbols are written in italics. * Vectors are bold. * Sets of numbers are blackboard… …

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  • 115Order-disorder — In quantum field theory and statistical mechanics in the thermodynamic limit, a system with a global symmetry can have more than one phase. For parameters where the symmetry is spontaneously broken, the system is said to be ordered. When the… …

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  • 116Saunders Mac Lane — (4 August 1909, Taftville, Connecticut – 14 April 2005, San Francisco) was an American mathematician who cofounded category theory with Samuel Eilenberg.CareerMac Lane was christened Leslie Saunders MacLane , but Leslie fell into disuse because… …

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  • 117Non-linear sigma model — In quantum field theory, a nonlinear σ model describes a scalar field Σ which takes on values in a nonlinear manifold called the target manifold T. The target manifold is equipped with a Riemannian metric g. Σ is a differentiable map from… …

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  • 118Flipped SU(5) — The Flipped SU(5) model is a GUT theory which states that the gauge group is: [ SU(5) times; U(1)χ ] /mathbb{Z} 5 Fermions form three families, each consisting of the representations ar{5} { 3} for the lepton doublet, L, and the up quarks u^c;… …

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  • 119Henri Cartan — Infobox Person name = Henri Cartan image size = 250px caption = birth date = birth date|1904|7|8 birth place = Nancy, France death date = death date and age|2008|8|13|1904|7|8 death place = Paris, France nationality = FRA known for = Algebraic… …

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  • 120Vacuum angle — In quantum gauge theories, in the Hamiltonian formulation, the wave function is a functional of the gauge connection A and matter fields φ. Being a quantum gauge theory, we have to impose first class constraints in the form of functional… …

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