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unit cube : ウィキペディア英語版
unit cube

A unit cube, more formally a cube of side 1, is a cube whose sides are 1 unit long.〔. See in particular (p. 671 ).〕〔.〕 The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units.〔.〕
== Unit hypercube ==
The term ''unit cube'' or unit hypercube is also used for hypercubes, or "cubes" in ''n''-dimensional spaces, for values of ''n'' other than 3 and edge length 1.〔〔
Sometimes the term "unit cube" refers in specific to the set ()''n'' of all ''n''-tuples of numbers in the interval ().〔
The length of the longest diagonal of a unit hypercube of ''n'' dimensions is \sqrt n, the square root of ''n'' and the (Euclidean) length of the vector (1,1,1,....1,1) in ''n''-dimensional space.〔

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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