English Dictionary

AM-GM Inequality

固有名詞

The fact that the arithmetic mean of nonnegative numbers is not less than their geometric mean, and is more if some of the numbers are distinct.

日本語の意味

非負の数の算術平均が、その数の幾何平均以上であり、いくつかの数が異なる場合には厳密に大きいという不等式

In many optimization problems, the AM-GM Inequality provides a straightforward way to bound expressions and identify when equality holds.

多くの最適化問題では、算術平均と幾何平均の不等式が式に上界を与え、等号が成り立つ場合を特定するための簡潔な手段を提供する。

意味（1）

The fact that the arithmetic mean of nonnegative numbers is not less than their geometric mean, and is more if some of the numbers are distinct.