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至今,二项式系数一般用组合表示。 Up to now, binomial coefficients are generally represented by combinations. | ||
著名数学家牛顿最早证明了二项式定理。 The famous mathematician Newton first proved the binomial theorem. | ||
下面的函数是递归地计算二项式系数的。 The following is a function computes the binomial coefficient recursively. | ||
本文从二项式系数的性质得到了一些组合不等式。 In this paper, we derive some combinatorial inequalities from the property of binomial coefficients. | ||
首先,让我们了解英文中的“二项式”短语或者说词组,是什么意思吧。 Let's start off with describing what binomials or word pairs are in English. | ||
因此他们…也就是说,他们不放心让保险公司按照二项式定理,自己计算准备金要求。 So they--in other words, the insurance company--doesn't trust the insurance companies to do the calculations like I showed with the binomial theorem. | ||
在数学上,牛顿创立了“牛顿二项式定理”,并和莱布尼兹几乎同时创立了微积分学。 In mathematics, Newton established "the Newton binomial theorem", and nearly simultaneously established the calculus study with Leibniz. | ||