domain of analyticity

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• 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

• semantics — semanticist /si man teuh sist/, semantician /see man tish euhn/, n. /si man tiks/, n. (used with a sing. v.) 1. Ling. a. the study of meaning. b. the study of linguistic development by classifying and examining changes in meaning and form. 2.… …   Universalium

• Smooth function — A bump function is a smooth function with compact support. In mathematical analysis, a differentiability class is a classification of functions according to the properties of their derivatives. Higher order differentiability classes correspond to …   Wikipedia

• Morera's theorem — If the integral along every C is zero, then ƒ is holomorphic on D. In complex analysis, a branch of mathematics, Morera s theorem, named after Giacinto Morera, gives an important criterion for proving that a function is holomorphic. Morera s… …   Wikipedia

• Green's function (many-body theory) — In many body theory, the term Green s function (or Green function) is sometimes used interchangeably with correlation function, but refers specifically to correlators of field operators or creation and annihilation operators.The name comes from… …   Wikipedia

• logic, philosophy of — Philosophical study of the nature and scope of logic. Examples of questions raised in the philosophy of logic are: In virtue of what features of reality are the laws of logic true? ; How do we know the truths of logic? ; and Could the laws of… …   Universalium

• Willard Van Orman Quine — Unreferenced|date=August 2007 Infobox Philosopher region = Western Philosophy era = 20th century philosophy color = #B0C4DE image caption = Willard Van Orman Quine name = Willard Van Orman Quine birth = birth date|mf=yes|1908|6|25 death = death… …   Wikipedia

• Operational definition — The operational definition of a peanut butter sandwich might be simply the result of putting peanut butter on a slice of bread with a butter knife and laying a second equally sized slice of bread on top An operational definition defines something …   Wikipedia

• Mill, John Stuart: Logic and metaphysics — J.S.Mill Logic and metaphysics John Skorupski ENLIGHTENMENT AND ROMANTICISM IN MILL’S PHILOSOPHY Mill’s importance as one of the major figures of nineteenth century politics and culture, and the current interest in him as a moral and political… …   History of philosophy

• Liouville's theorem (complex analysis) — In complex analysis, Liouville s theorem, named after Joseph Liouville, states that every bounded entire function must be constant. That is, every holomorphic function f for which there exists a positive number M such that | f ( z )| ≤ M for all… …   Wikipedia

• Algebraic function — In mathematics, an algebraic function is informally a function which satisfies a polynomial equation whose coefficients are themselves polynomials. For example, an algebraic function in one variable x is a solution y for an equation: a n(x)y^n+a… …   Wikipedia