将二项式扩展到规定幂的定理。
建立了超线性二阶三个边值问题的一个正解存在定理。这里，非线性项是下有界的并且不需要是非负的。
An existence theorem of positive solution is established for a superlinear second-order three-point boundary value problem. Here, the nonlinear term is bounded below and need not be nonnegative.
泊松定理、隶莫佛-拉普拉斯定理给出了二项分布的近似计算公式。
Poisson theorem and De Moivre-Laplace theorem present the approximate calculation formula of binomial distribution.
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.
给出了负二项分布的分解定理，进一步研究了负二项分布的有关性质及参数的无偏一致估计，以及在流行病学该分布的生物学意义。
Then, we studied a few of properties of negative binomial distribution and the uniformly unbiased estimator of the parameter, and it's biological significances were explained in Epidemiology.
通过二项式拟合定理，找出了网点密度的变化与网点面积率的变化之间的关系，并进一步计算出了检测样张的网点密度。
By using binomial principle, not only the relation between dot density's change and dot area coverage's change is found out, but the testing proofs dot density is figured out.
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.
该计算方法可靠，较以往的二项式展开定理计算法简单。
This calculating method is reliable and more simple than the used calculating method of the binomial theorem.
在实际应用这些公式的时候，需要运用二项分布的正态近似定理，因为二项分布公式的值很难计算。
To actually apply this it helps to go to something called the normal approximation to the binomial, because it's kind of difficult to compute this formula.
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。
Compared to digital binomial function, matrix binomial function is derived and proved with induction method and the application of it is illustrated with examples.
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.
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。
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。
In mathematics, Newton established "the Newton binomial theorem", and nearly simultaneously established the calculus study with Leibniz.
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