analytic function
21analytic — or analytical adjective Etymology: Late Latin analyticus, from Greek analytikos, from analyein Date: 1601 1. of or relating to analysis or analytics; especially separating something into component parts or constituent elements …
22function — /fungk sheuhn/, n. 1. the kind of action or activity proper to a person, thing, or institution; the purpose for which something is designed or exists; role. 2. any ceremonious public or social gathering or occasion. 3. a factor related to or… …
23Function field of an algebraic variety — In algebraic geometry, the function field of an algebraic variety V consists of objects which are interpreted as rational functions on V . In complex algebraic geometry these are meromorphic functions and their higher dimensional analogues; in… …
24Analytic Fredholm theorem — In mathematics, the analytic Fredholm theorem is a result concerning the existence of bounded inverses for a family of bounded linear operators on a Hilbert space. It is the basis of two classical and important theorems, the Fredholm alternative… …
25analytic — an•a•lyt•ic [[t]ˌæn lˈɪt ɪk[/t]] also an a•lyt′i•cal adj. 1) pertaining to or proceeding by analysis (opposed to synthetic) 2) skilled in or habitually using analysis 3) ling. (of a language) characterized by the use of function words and changes …
26ANALYTIC PHILOSOPHY — characterizes a widespread conviction concerning the aims of PHILOSOPHY and method to be used to attain those aims. It is currently the dominant philosophy in England and America. Traditionally, the aim of philosophy was to construct a… …
27Smooth 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 …
28Non-analytic smooth function — In mathematics, smooth functions (also called infinitely differentiable functions) and analytic functions are two very important types of functions. One can easily prove that any analytic function of a real argument is smooth. The converse is not …
29Gamma function — For the gamma function of ordinals, see Veblen function. The gamma function along part of the real axis In mathematics, the gamma function (represented by the capital Greek letter Γ) is an extension of the factorial function, with its… …
30Riemann zeta function — ζ(s) in the complex plane. The color of a point s encodes the value of ζ(s): dark colors denote values close to zero and hue encodes the value s argument. The white spot at s = 1 is the pole of the zeta function; the black spots on the… …
