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homogeneous domain

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  • Homogeneous coordinate ring — In algebraic geometry, the homogeneous coordinate ring R of an algebraic variety V given as a subvariety of projective space of a given dimension N is by definition the quotient ring R = K[X0, X1, X2, ..., XN]/I where I is the homogeneous ideal… …   Wikipedia

  • Homogeneous (large cardinal property) — In the context of a large cardinal property, a subset, S , of D is homogeneous for a function f means that for some natural number n , D n is the domain of f and for some element r of the range of f , every member of S n is mapped to r . That is …   Wikipedia

  • Ilya Pyatetskii-Shapiro — (born 1929) is a mathematician, well known for contributions to the theory of Fourier series, bounded homogeneous domains and associated discrete groups, automorphic forms, and algebraic geometry. Born into a Jewish family in the USSR, he… …   Wikipedia

  • Fourier optics — is the study of classical optics using techniques involving Fourier transforms and can be seen as an extension of the Huygens Fresnel principle. The underlying theorem that light waves can be described as made up of sinusoidal waves, in a manner… …   Wikipedia

  • china — /chuy neuh/, n. 1. a translucent ceramic material, biscuit fired at a high temperature, its glaze fired at a low temperature. 2. any porcelain ware. 3. plates, cups, saucers, etc., collectively. 4. figurines made of porcelain or ceramic material …   Universalium

  • China — /chuy neuh/, n. 1. People s Republic of, a country in E Asia. 1,221,591,778; 3,691,502 sq. mi. (9,560,990 sq. km). Cap.: Beijing. 2. Republic of. Also called Nationalist China. a republic consisting mainly of the island of Taiwan off the SE coast …   Universalium

  • Homogeneity and heterogeneity — For other meanings of heterogeneity, homogeneity, and related words, see Heterogeneity (disambiguation) and Homogeneity (disambiguation). Clam chowder, a heterogeneous material Homogeneity and heterogeneity are concepts relating to the uniformity …   Wikipedia

  • Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …   Wikipedia

  • Heat equation — The heat equation is an important partial differential equation which describes the distribution of heat (or variation in temperature) in a given region over time. For a function of three spatial variables ( x , y , z ) and one time variable t ,… …   Wikipedia

  • Photonic metamaterial — Electromagnetism Electricity · …   Wikipedia

  • United States — a republic in the N Western Hemisphere comprising 48 conterminous states, the District of Columbia, and Alaska in North America, and Hawaii in the N Pacific. 267,954,767; conterminous United States, 3,022,387 sq. mi. (7,827,982 sq. km); with… …   Universalium

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