二项式定理

The famous mathematician Newton first proved the binomial theorem.

著名数学家牛顿最早证明了二项式定理。

In mathematics, Newton established ´the Newton binomial theorem´, and nearly simultaneously established the calculus study with Leibniz.

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。

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.

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。

In mathematics, Newton established ´the Newton binomial theorem´, and nearly simultaneously established the calculus study with Leibniz.

在数学上，牛顿创建了“牛顿二项式定理”，并和莱布尼兹简直同时创建了微积分学。

Compared to digital binomial function, matrix binomial function is derived and proved with induction method and the application of it is illustrated with examples.

类比关于数式的二项式定理，导出关于矩阵的二项式定理，并用数学归纳法予以证明，最后举例说明关于矩阵的二项式定理的应用。