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complex analytic structure

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  • Complex analytic space — In mathematics, a complex analytic space is a generalization of a complex manifold which allows the presence of singularities. Complex analytic spaces are locally ringed spaces which are locally isomorphic to local model spaces, where a local… …   Wikipedia

  • Analytic function — This article is about both real and complex analytic functions. The article holomorphic function is solely about analytic functions in complex analysis. An analytic signal is a signal with no negative frequency components. In mathematics, an… …   Wikipedia

  • analytic philosophy — n. a 20th cent. philosophic movement characterized by its method of analyzing concepts and statements in the light of common experience and ordinary language so as to eliminate confusions of thought and resolve many traditional philosophical… …   Universalium

  • Analytic philosophy — (sometimes, analytical philosophy) is a generic term for a style of philosophy that came to dominate English speaking countries in the 20th century. In the United States, United Kingdom, Canada, Australia, and New Zealand the overwhelming… …   Wikipedia

  • Structure formation — refers to a fundamental problem in physical cosmology. The universe, as is now known from observations of the cosmic microwave background radiation, began in a hot, dense, nearly uniform state approximately 13.7 Gyr ago. [cite journal |author=D.… …   Wikipedia

  • Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… …   Wikipedia

  • Analytic Hierarchy Process — The Analytic Hierarchy Process (AHP) is a structured technique for helping people deal with complex decisions. Rather than prescribing a correct decision, the AHP helps people to determine one. Based on mathematics and human psychology, it was… …   Wikipedia

  • Analytic number theory — In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve number theoretical problems. [Page 7 of Apostol 1976] It is often said to have begun with Dirichlet s introduction of… …   Wikipedia

  • Complex plane — Geometric representation of z and its conjugate in the complex plane. The distance along the light blue line from the origin to the point z is the modulus or absolute value of z. The angle φ is the argument of z. In mathematics …   Wikipedia

  • Complex projective space — The Riemann sphere, the one dimensional complex projective space, i.e. the complex projective line. In mathematics, complex projective space is the projective space with respect to the field of complex numbers. By analogy, whereas the points of a …   Wikipedia

  • Structure (mathematical logic) — In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations and relations which are defined on it. Universal algebra studies structures that generalize the algebraic structures such as… …   Wikipedia

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