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单词 Cubic number
释义

Cubic number

中文百科

立方数 Cube (algebra)

(重定向自Cubic number)

n立方数指可以写成n^3的数,当中n必为整数。立方数是边长n的立方体的体积。作为算术用语的「立方」,表示任何数n的三次幂,可用³(Unicode字符179)来表示。

和平方数不同,立方数可存在负数。

首十二个立方数A000578为:1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728 ...

虽然形状不同,每个立方数第n个立方数同时都是第n六角锥数,即首n个中心六边形数之和。

英语百科

Cube (algebra) 立方数

(重定向自Cubic number)
y = x3 for values of 0 ≤ x ≤ 25.
Visual proof that 13 + 23 + 33 + 43 + 53 = (1 + 2 + 3 + 4 + 5)2.
y = x3 plotted on a Cartesian plane

In arithmetic and algebra, the cube of a number n 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 n, giving rise to the name. The inverse operation of finding a number whose cube is n is called extracting the cube root of n. It determines the side of the cube of a given volume. It is also n raised to the one-third power.

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更新时间:2025/6/19 9:25:43