- unit sphere
- unit circle or unit sphere,Mathematics. a circle or sphere whose radius is one unit of distance.
Useful english dictionary. 2012.
unit sphere
Look at other dictionaries:
Unit sphere — some unit spheres In mathematics, a unit sphere is the set of points of distance 1 from a fixed central point, where a generalized concept of distance may be used; a closed unit ball is the set of points of distance less than or equal to 1 from a … Wikipedia
Contractibility of unit sphere in Hilbert space — In topology, it is a surprising fact that the unit sphere in (infinite dimensional) Hilbert space is a contractible space, sinceno finite dimensional spheres are contractible.This can be demonstrated in several different ways. Topological proof… … Wikipedia
Unit disk — For other uses, see Disc (disambiguation). An open Euclidean unit disk In mathematics, the open unit disk (or disc) around P (where P is a given point in the plane), is the set of points whose distance from P is less than 1 … Wikipedia
Unit tangent bundle — In mathematics, the unit tangent bundle of a Finsler manifold ( M , || . ||), denoted by UT( M ) or simply UT M , is a fiber bundle over M given by the disjoint union:mathrm{UT} (M) := coprod {x in M} left{ v in mathrm{T} {x} (M) left| | v | {x} … Wikipedia
Sphere — Globose redirects here. See also Globose nucleus. A sphere (from Greek σφαίρα sphaira , globe, ball, [ [http://www.perseus.tufts.edu/cgi bin/ptext?doc=Perseus%3Atext%3A1999.04.0057%3Aentry%3D%23101561 Sphaira, Henry George Liddell, Robert Scott,… … Wikipedia
unit circle — noun : a circle whose radius is one unit of length long * * * Math. a circle whose radius has a length of one unit. [1950 55] * * * unit circle or unit sphere, Mathematics. a circle or sphere whose radius is one unit of distance … Useful english dictionary
Unit circle — In mathematics, a unit circle is a circle with a unit radius, i.e., a circle whose radius is 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in… … Wikipedia
Unit cube — A unit cube is a cube all of whose sides are 1 unit long. The volume of a 3 dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units. Unit Hypercube The term unit cube or unit hypercube is also used to refer to… … Wikipedia
Unit square — The unit square is a square with all of the side lengths equalling 1.In the real planeIn a Cartesian coordinate system with coordinates ( x , y ) the unit square is defined as the square consisting of the points where both x and y lie in the unit … Wikipedia
Unit 731 — The Unit 731 complex Location Pingfang Coordinates … Wikipedia
