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Cube (algebra) : ウィキペディア英語版
Cube (algebra)

In arithmetic and algebra, the cube of a number is its third power: the result of the number multiplied by itself twice:
:.
It is also the number multiplied by its square:
:.
This is also the volume formula for a geometric cube with sides of length , giving rise to the name. The inverse operation of finding a number whose cube is is called extracting the cube root of . It determines the side of the cube of a given volume. It is also raised to the one-third power.
Both cube and cube root are odd functions:
:.
The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 23 = 8 or .
==In integers==
A cube number, or a perfect cube, or sometimes just a cube, is a number which is the cube of an integer.
The positive perfect cubes up to 603 are :
Geometrically speaking, a positive number is a perfect cube if and only if one can arrange solid unit cubes into a larger, solid cube. For example, 27 small cubes can be arranged into one larger one with the appearance of a Rubik's Cube, since 3 × 3 × 3 = 27.
The difference between the cubes of consecutive integers can be expressed as follows:
:.
or
:.
There is no minimum perfect cube, since the cube of a negative integer is negative. For example, (−4) × (−4) × (−4) = −64.

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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