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curve of intersection

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  • Intersection theory (mathematics) — In mathematics, intersection theory is a branch of algebraic geometry, where subvarieties are intersected on an algebraic variety, and of algebraic topology, where intersections are computed within the cohomology ring. The theory for varieties is …   Wikipedia

  • Intersection (road) — Crossroad in Kharkov An intersection is a road junction where two or more roads either meet or cross at grade (they are at the same level). An intersection may be 3 way a T junction or fork, 4 way a crossroads, or 5 way or more. It may often be… …   Wikipedia

  • 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

  • Curve orientation — In mathematics, a positively oriented curve is a planar simple closed curve (that is, a curve in the plane whose starting point is also the end point and which has no other self intersections) such that when traveling on it one always has the… …   Wikipedia

  • Asymptotic curve — In the differential geometry of surfaces, an asymptotic curve is a curve always tangent to an asymptotic direction of the surface (where they exist). It is sometimes called an asymptotic line, although it need not be a line. An asymptotic… …   Wikipedia

  • Complete intersection — In mathematics, an algebraic variety V in projective space is a complete intersection if it can be defined by the vanishing of the number of homogeneous polynomials indicated by its codimension. That is, if the dimension of an algebraic variety V …   Wikipedia

  • 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

  • Space-filling curve — 3 iterations of a Peano curve construction, whose limit is a space filling curve. In mathematical analysis, a space filling curve is a curve whose range contains the entire 2 dimensional unit square (or more generally an N dimensional hypercube) …   Wikipedia

  • Elliptic curve — In mathematics, an elliptic curve is a smooth, projective algebraic curve of genus one, on which there is a specified point O . An elliptic curve is in fact an abelian variety mdash; that is, it has a multiplication defined algebraically with… …   Wikipedia

  • 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

  • Montgomery curve — In mathematics the Montgomery curve is a form of elliptic curve, different from the usual representation (Weierstrass form). It has been introduced by Peter L.Montgomery in,[1] and it has been used since 1987 for certain computations, and in… …   Wikipedia

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