-dimensional sphere to any non-negative integer n {\displaystyle n} . The n {\displaystyle n} -sphere is the setting for n {\displaystyle n} -dimensional...
37 KB (7,130 words) - 14:33, 22 July 2024
A sphere (from Greek σφαῖρα, sphaîra) is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. Formally, a sphere is the...
41 KB (5,318 words) - 04:37, 13 August 2024
"surface"). Topologically, a 3-sphere is an example of a 3-manifold, and it is also an n-sphere. In coordinates, a 3-sphere with center (C0, C1, C2, C3)...
28 KB (4,027 words) - 13:24, 23 July 2024
Sphere (also called Sphere at the Venetian Resort) is a music and entertainment arena in Paradise, Nevada, United States, east of the Las Vegas Strip....
76 KB (6,123 words) - 03:47, 6 August 2024
generally, the unit n {\displaystyle n} -sphere is an n {\displaystyle n} -sphere of unit radius in ( n + 1 ) {\displaystyle (n+1)} -dimensional Euclidean...
12 KB (1,911 words) - 13:26, 28 May 2024
In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space. The spheres considered are usually all of identical...
28 KB (3,414 words) - 06:13, 21 May 2024
The Sphere (officially Große Kugelkaryatide N.Y., also known as Sphere at Plaza Fountain, WTC Sphere or Koenig Sphere) is a monumental cast bronze sculpture...
24 KB (2,230 words) - 21:37, 29 June 2024
The n-dimensional unit sphere — called the n-sphere for brevity, and denoted as Sn — generalizes the familiar circle (S1) and the ordinary sphere (S2)...
82 KB (7,971 words) - 00:49, 26 July 2024
the region enclosed by a sphere or hypersphere. An n-ball is a ball in an n-dimensional Euclidean space. The volume of a n-ball is the Lebesgue measure...
28 KB (5,444 words) - 18:27, 31 March 2024
homology sphere is an n-manifold X having the homology groups of an n-sphere, for some integer n ≥ 1 {\displaystyle n\geq 1} . That is, H 0 ( X , Z ) = H n (...
11 KB (1,529 words) - 01:47, 27 May 2024