Algebraic curve — In algebraic geometry, an algebraic curve is an algebraic variety of dimension one. The theory of these curves in general was quite fully developed in the nineteenth century, after many particular examples had been considered, starting with… … Wikipedia
algebraic curve — noun : a curve the Cartesian coordinates of whose points are related by an algebraic equation … Useful english dictionary
Circular algebraic curve — In geometry, a circular algebraic curve is a type of plane algebraic curve determined by an equation F(x, y) = 0, where F is a polynomial with real coefficients and the highest order terms of F form a polynomial divisible by… … Wikipedia
Gonality of an algebraic curve — In mathematics, the gonality of an algebraic curve C is defined as the lowest degree of a rational map from C to the projective line, which is not constant. In more algebraic terms, if C is defined over the field K and K ( C ) denotes the… … Wikipedia
Symmetric product of an algebraic curve — In mathematics, the n fold symmetric product of an algebraic curve C is the quotient space of the n fold cartesian product: C times; C times; ... times; C or C n by the group action of the symmetric group on n letters permuting the factors. It… … Wikipedia
Algebraic statistics — is a fairly recent field of statistics which utilizes the tools of algebraic geometry and commutative algebra in order to study problems related to discrete random variables with finite state spaces. Such problems include parameter estimation,… … Wikipedia
Algebraic — Al ge*bra ic, Algebraical Al ge*bra ic*al, a. 1. Of or pertaining to algebra; using algebra; according to the laws of algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings;… … The Collaborative International Dictionary of English
Curve — For other uses, see Curve (disambiguation). A parabola, a simple example of a curve In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but which is not required to be straight.… … Wikipedia
algebraic geometry — Math. the study of sets that are defined by algebraic equations. [1895 1900] * * * Study of geometric objects expressed as equations and represented by graphs in a given coordinate system. In contrast to Euclidean geometry, algebraic geometry… … Universalium
Algebraic geometry — This Togliatti surface is an algebraic surface of degree five. Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It… … Wikipedia
