everywhere defined function

everywhere defined function
Математика: всюду определённая функция

Универсальный англо-русский словарь. . 2011.

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  • Theta function — heta 1 with u = i pi z and with nome q = e^{i pi au}= 0.1 e^{0.1 i pi}. Conventions are (mathematica): heta 1(u;q) = 2 q^{1/4} sum {n=0}^infty ( 1)^n q^{n(n+1)} sin((2n+1)u) this is: heta 1(u;q) = sum {n= infty}^{n=infty} ( 1)^{n 1/2}… …   Wikipedia

  • Holomorphic function — A rectangular grid (top) and its image under a holomorphic function f (bottom). In mathematics, holomorphic functions are the central objects of study in complex analysis. A holomorphic function is a complex valued function of one or more complex …   Wikipedia

  • Regular function — In complex analysis, see holomorphic function. In mathematics, a regular function in the sense of algebraic geometry is an everywhere defined, polynomial function on an algebraic variety V with values in the field K over which V is defined. For… …   Wikipedia

  • Densely-defined operator — In mathematics mdash; specifically, in operator theory mdash; a densely defined operator is a type of partially defined function; in a topological sense, it is a linear operator that is defined almost everywhere . Densely defined operators often… …   Wikipedia

  • Densely defined operator — In mathematics specifically, in operator theory a densely defined operator is a type of partially defined function; in a topological sense, it is a linear operator that is defined almost everywhere . Densely defined operators often arise in… …   Wikipedia

  • Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …   Wikipedia

  • Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • Volterra's function — In mathematics, Volterra s function, named for Vito Volterra, is a real valued function V ( x ) defined on the real line R with the following curious combination of properties:* V ( x ) is differentiable everywhere * The derivative V prime;( x )… …   Wikipedia

  • Characterizations of the exponential function — In mathematics, the exponential function can be characterized in many ways. The following characterizations (definitions) are most common. This article discusses why each characterization makes sense, and why the characterizations are independent …   Wikipedia

  • Cantor function — In mathematics, the Cantor function, named after Georg Cantor, is an example of a function that is continuous, but not absolutely continuous. DefinitionThe Cantor function c : [0,1] → [0,1] is defined as follows:#Express x in base 3. If possible …   Wikipedia

  • Generalized function — In mathematics, generalized functions are objects generalizing the notion of functions. There is more than one recognised theory. Generalized functions are especially useful in making discontinuous functions more like smooth functions, and (going …   Wikipedia


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