Euler characteristic
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Euler characteristic — In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic is a topological invariant, a number that describes one aspect of a topological space s shape or structure. It is commonly denoted… … Wikipedia
Euler characteristic — ▪ mathematics in mathematics, a number, C, that is a topological characteristic of various classes of geometric figures based only on a relationship between the numbers of vertices (V), edges (E), and faces (F) of a geometric figure. This… … Universalium
Characteristic — (from the Greek word for a property or attribute (= trait) of an entity) may refer to: In physics and engineering, any characteristic curve that shows the relationship between certain input and output parameters, for example: I V or current… … Wikipedia
Euler class — In mathematics, specifically in algebraic topology, the Euler class, named after Leonhard Euler, is a characteristic class of oriented, real vector bundles. Like other characteristic classes, it measures how quot;twisted quot; the vector bundle… … Wikipedia
Characteristic class — In mathematics, a characteristic class is a way of associating to each principal bundle on a topological space X a cohomology class of X. The cohomology class measures the extent to which the bundle is twisted particularly, whether it possesses… … Wikipedia
Euler boolean operation — An Euler Boolean operation is a series of modifications to solid modelling which preserves the Euler characteristic in the boundary representation at every stage. One or more of these Euler Boolean operations is stored in a change state, so as to … Wikipedia
Euler's formula — This article is about Euler s formula in complex analysis. For Euler s formula in algebraic topology and polyhedral combinatorics see Euler characteristic. Part of a series of articles on The mathematical constant e … Wikipedia
Euler-Charakteristik — Die Euler Charakteristik ist im mathematischen Teilgebiet der Topologie eine Kennzahl für geschlossene Flächen. Als Bezeichnung verwendet man üblicherweise χ. Benannt ist sie nach dem Mathematiker Leonard Euler, der 1758 bewies, dass für E die… … Deutsch Wikipedia
Euler-Poincare-Charakteristik — Die Euler Charakteristik ist in der Topologie (einem Teilgebiet der Mathematik) eine Kennzahl für geschlossene Flächen. Flächen, die unter topologischen Gesichtspunkten als gleich angesehen werden, haben dieselbe Euler Charakteristik. Sie ist… … Deutsch Wikipedia
Characteristic function — In mathematics, characteristic function can refer to any of several distinct concepts: The most common and universal usage is as a synonym for indicator function, that is the function which for every subset A of X, has value 1 at points of A and… … Wikipedia
