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词汇 Scaling law
分类 英语词汇 英语翻译词典
释义

Scaling law

中文百科

幂定律 Power law

（重定向自Scaling law）

幂定律（英语：power law）是一种多项式关系。遵守这关系的多项式，会展现出标度不变性（scale invariance）的性质。最普通的，表达两个变量之间关系的幂定律，其形式为

f(x) = ax^k +o(x^k)\,\!；

其中，a\,\!与k\,\!都是常数，o(x^k)\,\!是x\,\!的一个渐近微小函数。

英语百科

Power law 幂定律

（重定向自Scaling law）
An example power-law graph, being used to demonstrate ranking of popularity. To the right is the long tail, and to the left are the few that dominate (also known as the 80–20 rule).
Some models of the initial mass function use a broken power law; here Kroupa (2001) in red.
A straight line on a log-log plot is strong evidence for power-laws, the slope of the straight line corresponds to the power law exponent.

In statistics, a power law is a functional relationship between two quantities, where a relative change in one quantity results in a proportional relative change in the other quantity, independent of the initial size of those quantities: one quantity varies as a power of another. For instance, considering the area of a square in terms of the length of its side, if the length is doubled, the area is multiplied by a factor of four.
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