利用概率方法證明不等式
利用概率方法證明不等式
[摘要]:在分析數(shù)學里1些常見的不等式的'證明,若運用代數(shù)的方法較難得到解決。但是我們可以針對不同的問題,通過構造適當?shù)母怕誓P,運用概率的方法就可以較方便地證明某些數(shù)學不等式。這即顯示了概率應用的巧妙性和優(yōu)越性,同時還溝通了不同學科之間的聯(lián)系。
[關鍵詞]:隨機變量;不等式 ;概率分布; 概率方法
Inequality is Masterly Proved by Means of Probabilities
Abstract: It will be difficult to prove some general unequal formulae by applying algebra method. But, the author properly constructs probabilistic model according to different problems we can Probabilistic methods are applied to prove some inequality. This has demonstrated the probability application ingenuity and the superiority , and different subjects are also connected each other.
Keywords: random variable; inequality; probability distribution; probability method
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