“arithmetic-geometric mean inequality”的概念、定义、翻译、参考文献-科学参考

单词	arithmetic-geometric mean inequality
释义	arithmetic-geometric mean inequality Mathematics The arithmetic mean of a set of non-negative numbers is never less than their geometric mean. So for any $a, b \geq 0, \frac{a + b}{2} \geq \sqrt{a b} .$ Generally, for a set of numbers ${a_{i}}, \frac{1}{n} \sum a_{i} \geq \sqrt[n]{\prod a_{i}}$ with equality if and only if all $a_{i}$ take the same value. This inequality is often abbreviated to AM-GM.
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