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germ of analytic set

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  • Germ (mathematics) — In mathematics, the notion of a germ of an object in/on a topological space captures the local properties of the object. In particular, the objects in question are mostly functions (or maps) and subsets. In specific implementations of this idea,… …   Wikipedia

  • Analytic continuation — In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example in a new region where …   Wikipedia

  • Stalk (sheaf) — The stalk of a sheaf is a mathematical construction capturing the behaviour of a sheaf around a given point.Motivation and definitionSheaves are defined on open sets, but the underlying topological space X consists of points. It is reasonable to… …   Wikipedia

  • Life Sciences — ▪ 2009 Introduction Zoology       In 2008 several zoological studies provided new insights into how species life history traits (such as the timing of reproduction or the length of life of adult individuals) are derived in part as responses to… …   Universalium

  • Sheaf (mathematics) — This article is about sheaves on topological spaces. For sheaves on a site see Grothendieck topology and Topos. In mathematics, a sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space.… …   Wikipedia

  • philosophy, Western — Introduction       history of Western philosophy from its development among the ancient Greeks to the present.       This article has three basic purposes: (1) to provide an overview of the history of philosophy in the West, (2) to relate… …   Universalium

  • Ludwig Wittgenstein — Wittgenstein redirects here. For other uses, see Wittgenstein (disambiguation). Ludwig Wittgenstein Photographed by Ben Richards Swansea, Wales, 1947 Born 26 April 1889 …   Wikipedia

  • Valuation (algebra) — In algebra (in particular in algebraic geometry or algebraic number theory), a valuation is a function on a field that provides a measure of size or multiplicity of elements of the field. They generalize to commutative algebra the notion of size… …   Wikipedia

  • religion, study of — Introduction       attempt to understand the various aspects of religion, especially through the use of other intellectual disciplines.       The history of mankind has shown the pervasive influences of religion, and thus the study of religion,… …   Universalium

  • Epidemiology — For the Community episode, see Epidemiology (Community). Epidemiology is the study of health event, health characteristic, or health determinant patterns in a population. It is the cornerstone method of public health research, and helps inform… …   Wikipedia

  • Monodromy — In mathematics, monodromy is the study of how objects from mathematical analysis, algebraic topology and algebraic and differential geometry behave as they run round a singularity. As the name implies, the fundamental meaning of monodromy comes… …   Wikipedia

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