polar duality
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Duality (projective geometry) — A striking feature of projective planes is the symmetry of the roles played by points and lines in the definitions and theorems, and (plane) duality is the formalization of this metamathematical concept. There are two approaches to the subject of … Wikipedia
Duality (mathematics) — In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one to one fashion, often (but not always) by means of an involution operation: if the dual… … Wikipedia
Polar set — See also polar set (potential theory). In functional analysis and related areas of mathematics the polar set of a given subset of a vector space is a certain set in the dual space.Given a dual pair (X,Y) the polar set or polar of a subset A of X… … Wikipedia
Pole and polar — In geometry, the terms pole and polar are used to describe a point and a line that have a unique reciprocal relationship with respect to a given conic section. If the point lies on the conic section, its polar is the tangent line to the conic… … Wikipedia
Dual cone and polar cone — A set C and its dual cone C * … Wikipedia
Oriented matroid — theory allows a combinatorial approach to the max flow min cut theorem. A network with the value of flow equal to the capacity of an s t cut An oriented matroid is a mathematical structure that abstracts the properties of directed graphs and of… … Wikipedia
Dual polyhedron — The dual of a cube is an octahedron, shown here with vertices at the cube face centers … Wikipedia
Dual polygon — In geometry, polygons are associated into pairs called duals, where the vertices of one correspond to the edges of the other. Contents 1 Properties 2 Kinds of duality 2.1 Rectification … Wikipedia
literature — /lit euhr euh cheuhr, choor , li treuh /, n. 1. writings in which expression and form, in connection with ideas of permanent and universal interest, are characteristic or essential features, as poetry, novels, history, biography, and essays. 2.… … Universalium
Dual curve — Curves, dual to each other; see below for properties. In projective geometry, a dual curve of a given plane curve C is a curve in the dual projective plane consisting of the set of lines tangent to C. There is a map from a curve to its dual,… … Wikipedia
List of Russian people — The Millennium of Russia monument in Veliky Novgorod, featuring the statues and reliefs of the most celebrated people in the first 1000 years of Russian history … Wikipedia