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单词 sphere
释义

sphere

In 3-dimensional space, the sphere with centre C and radius r is the locus of all points whose distance from C is equal to r. If C has Cartesian coordinates (a,b,c), this sphere has equation

The interior of a sphere of radius r has volume inline, and the surface area equals 4πr2.

In topology, the n-dimensional sphere is denoted as Sn and is often identified with the unit sphere in Rn+1, that is,

The spheres described above are topologically S2.

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更新时间:2025/4/29 11:29:08