-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) - 10:34, 22 August 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 (5,327 words) - 18:23, 15 September 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....
77 KB (6,178 words) - 12:59, 17 September 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) - 00:07, 14 September 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) - 22:10, 31 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 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 (7,972 words) - 00:30, 24 August 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...
29 KB (5,448 words) - 14:09, 8 September 2024
Then the statement is Every homotopy sphere (a closed n-manifold which is homotopy equivalent to the n-sphere) in the chosen category (i.e. topological...
10 KB (1,285 words) - 04:55, 26 May 2024