unit sphere


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unit sphere

[′yü·nət ′sfir]
(mathematics)
The set of points in three-space (more generally n-space) which are precisely one unit distance from the origin.
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The 20 papers discuss such aspects as the curvature Veronese of a 3-manifold immersed in Euclidean space, topological formulas for closed semi-algebraic sets by Euler integration, the topological classification of simple Morse Bott functions on surfaces, critical points of the Gauss map and the exponential tangent map, and Legendre curves in the unit spherical bundle over the unit sphere and evolutes.
Contract awarded for Gongjaksan unit sphere gwangeup materials synthesis maintenance business (mobile post) production, purchase
So the average bond energy for per surface area of the unit sphere (Fig.
n] and t > 0, the operator [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], where d[sigma] is the normalized Lebesgue measure over the unit sphere [S.
Let BX and SX denote its closed unit ball and its unit sphere, respectively.
We know that spherical ellipse is the intersection of the unit sphere with a quadratic cone whose vertex is at the center of the sphere [2].
The points O and A are the centers of the unit sphere and an arbitrary circle on a plane having angular position to [[LAMBDA].
In [19], it is constructed the Green's function for the Neumann problem formulated for the unit sphere in [R.
Among the current approaches, the unit sphere concept, or Gauss sphere, is interesting.
581] asserts the existence for any natural number N of a partition of the unit sphere [S.
It will be convenient to use radial coordinates and coordinates on the unit sphere, defined by