analytic plane

analytic plane
мат.
аналитическая плоскость

English-Russian scientific dictionary. 2008.

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  • Analytic geometry — Cartesian coordinates. Analytic geometry, or analytical geometry has two different meanings in mathematics. The modern and advanced meaning refers to the geometry of analytic varieties. This article focuses on the classical and elementary meaning …   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 geometry — a branch of mathematics in which algebraic procedures are applied to geometry and position is represented analytically by coordinates. Also called coordinate geometry. [1820 30] * * * Investigation of geometric objects using coordinate systems.… …   Universalium

  • 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

  • Analytic capacity — In complex analysis, the analytic capacity of a compact subset K of the complex plane is a number that denotes how big a bounded analytic function from mathbb{C}setminus E can become. Roughly speaking, gamma(E) measures the size of the unit ball… …   Wikipedia

  • Plane curve — In mathematics, a plane curve is a curve in a Euclidean plane (cf. space curve). The most frequently studied cases are smooth plane curves (including piecewise smooth plane curves), and algebraic plane curves. A smooth plane curve is a curve in a …   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

  • Plane–sphere intersection — 1. No intersection. 2. Point intersection. 3. Circle intersection.In the theory of analytic geometry for real three dimensional space, the intersection of a plane and a sphere can be the empty set, a point, or a circle.Distinguishing these cases …   Wikipedia

  • Analytic semigroup — In mathematics, an analytic semigroup is particular kind of strongly continuous semigroup. Analytic semigroups are used in the solution of partial differential equations; compared to strongly continuous semigroups, analytic semigroups provide… …   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

  • Real analytic Eisenstein series — In mathematics, the simplest real analytic Eisenstein series is a special function of two variables. It is used in the representation theory of SL2(R) and in analytic number theory. It is closely related to the Epstein zeta function.There are… …   Wikipedia


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