Last Updated :2025/11/26

AM-GM Inequality

Proper noun
Japanese Meaning
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
What is this buttons?

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。

Quizzes for review

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.

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AM-GM Inequality

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

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

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