sphere

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Synonyms for sphere

Synonyms for sphere

an area within which something or someone exists, acts, or has influence or power

Synonyms for sphere

any spherically shaped artifact

the geographical area in which one nation is very influential

a particular aspect of life or activity

Synonyms

a solid figure bounded by a spherical surface (including the space it encloses)

a three-dimensional closed surface such that every point on the surface is equidistant from the center

the apparent surface of the imaginary sphere on which celestial bodies appear to be projected

References in periodicals archive ?
In case r = 0 we obtain the unit 2-sphere [S.sub.2], but for r > 0 the surface S is no longer differentiable at points whose u-coordinate is 0.
For t = 0, we obtain a fixed-point configuration, q(0), specific to [S.sup.3], in the sense that there is no 2-sphere that contains it:
where [theta] is a constant (angle) different from 0, [xi] = [xi](u) = cot [theta] log u and f is a unit speed curve on the Euclidean 2-sphere [S.sup.2], [5].
This is the line-element of a 2-sphere with a radius of curvature of [square root of 2b], i.e.
The subject of many areas of investigation, such as meteorology or crystallography, is the reconstruction of a continuous signal on the 2-sphere from scattered data.
To see that W = [[Sigma].sup.3] - Int N(L) is irreducible, suppose that F is a smoothly embedded 2-sphere in the interior of W and let [D.sub.1] and [D.sub.2] be the closures of the two components of [[Sigma].sup.3] - F in [[Sigma].sup.3].
It is well known that [[??].sub.0] of the coordinate ring A = R[X, Y, Z]/([X.sup.2] + [Y.sup.2] + [Z.sup.2] - 1) of the algebraic 2-sphere [S.sup.2](R) over a field R is isomorphic to the integers Z, whenever R is of characteristic not two, and contains i, the squared root of -1, see [6, Corollary 10.8] and [7, [section] 7].