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A term sometimes used to denote a period parallelogram of a double-periodic function whose sides do not contain poles, and which is obtained from a fundamental period parallelogram by translation over a vector .


[1] E.T. Whittaker, G.N. Watson, "A course of modern analysis" , Cambridge Univ. Press (1927)


In addition there are several technical meanings of the word cell in geometry and topology. Thus, in affine geometry the convex hull of a finite set of points is sometimes called a convex cell. A subset of a topological Hausdorff space such that there is a relative homeomorphism is a (topological) -dimensional cell. Here is the unit ball, its boundary is the -dimensional sphere, and a relative homeomorphism is, of course, a continuous mapping such that and induces a homeomorphism ; cf. also Cell complex and Cellular space. The phrase unit cell occasionally occurs as a synonym for the ball (disc) of radius one centred at the origin in -dimensional Euclidean space, and any space homeomorphic to it is also sometimes called an -dimensional topological cell. Finally, cell is sometimes used to denote the possible locations of entries in a matrix or similar structure, such as a magic square or Young diagram, or as a synonym for a block in a block matrix.

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Cell. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article