field of curves
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Field-sequential color system — A field sequential color system is a color television system in which the primary color information is transmitted in successive images, and which relies on the human vision system to fuse the successive images into a color picture. One field… … Wikipedia
Field hockey stick — In Field hockey, each player carries a stick and cannot take part in the game without it. The stick is usually between 36 and 38 long (but this is not defined or restricted)and traditionally made of wood but now almost all the more expensive… … Wikipedia
geomagnetic field — Magnetic field associated with the Earth. It is essentially dipolar (i.e., it has two poles, the northern and southern magnetic poles) on the Earth s surface. Away from the surface, the field becomes distorted. Most geomagnetists explain the… … Universalium
Slope field — The slope field of dy/dx=x2 x 1, with the blue, red, and turquoise lines being (x3/3) (x2/2) x+4, (x3/3) (x2/2) x, and (x3/3) (x2/2) x 4, respectively. In mathematics, a slope field (or direction field) is a graphical representation of the… … Wikipedia
Vector field — In mathematics a vector field is a construction in vector calculus which associates a vector to every point in a (locally) Euclidean space.Vector fields are often used in physics to model, for example, the speed and direction of a moving fluid… … Wikipedia
Counting points on elliptic curves — An important aspect in the study of elliptic curves is devising effective ways of counting points on the curve. There have been several approaches to do so, and the algorithms devised have proved to be useful tools in the study of various fields… … Wikipedia
Hamiltonian vector field — In mathematics and physics, a Hamiltonian vector field on a symplectic manifold is a vector field, defined for any energy function or Hamiltonian. Named after the physicist and mathematician Sir William Rowan Hamilton, a Hamiltonian vector field… … Wikipedia
Moduli of algebraic curves — In algebraic geometry, a moduli space of (algebraic) curves is a geometric space (typically a scheme or an algebraic stack) whose points represent isomorphism classes of algebraic curves. It is thus a special case of a moduli space. Depending on… … Wikipedia
Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… … Wikipedia
Cone of curves — In mathematics, the cone of toot (sometimes the Kleiman Mori cone) of an algebraic variety X is a combinatorial invariant of much importance to the birational geometry of X. Contents 1 Definition 2 Applications 3 … Wikipedia
Hasse's theorem on elliptic curves — In mathematics, Hasse s theorem on elliptic curves bounds the number of points on an elliptic curve over a finite field, above and below. If N is the number of points on the elliptic curve E over a finite field with q elements, then Helmut Hasse… … Wikipedia