二项式定理

如果按二项式定理展开来计算平方根，P的计算可以简化。

Evaluation of P is simplified if the square root terms are expanded by the binomial theorem .

定理g称为二项式定理。

Theorem g is called binomial theorem .

用构造体积、应用二项式定理、利用定积分的三种方法，导出正整数前n项k方和公式，并对此进行推算。

Three methods-structural volume , binomial formula and definite integral-can be employed to derive the formula for the snm of the K power of positive N term integer . The calculation can be made on the basis of them .

我们主要利用q-二项式定理和Sears的两个关于3φ2的变换公式，得到两类新的q-正整数。这些q-正整数可以扩展为多个q-二项式乘积展开式的系数的一种特殊情况。

Then by using q-binomial theorem and Sears 's transformation formula for _3 φ _2 , we show two new families of g-positive integers , which are further extended to a special case of the coefficients of the product of q-binomial polynomials .

二项式定理的概率证明

A Proving Method on the Theorem of Binomial in Probability

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 .

他给他的学生们讲授二项式定理的奥秘。

He initiated his pupils into the mysteries of the binomial theorem .

关于矩阵的二项式定理其应用

On Binomial Theorem of Matrix and its Application

二项式定理的赫尔茨推广

Hurwitz 's generalization of binomial theorem

二项式定理的阿贝尔推广

Abel 's generalization of binomial theorem

我们还要揭示二项式定理更为丰富的内涵。

There is a wealth of information in the binomial theorem that we have yet to exploit .

可换矩阵二项式定理的应用

Binomial Theorem of Matrix

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 .

高考作文教学初探探讨高考中涉及二项式定理的试题的解法

An Initial Probe into the Teaching of Composition for Matriculation Examination A Research into the Solving Processes to Problems on Newton 's Binomial Theorem in the College Matriculation Examination

到14世纪，中国数学家们在代数、数的方程解答和基础二项式定理方面都取得了重大发展。

And by the 14th century Chinese mathematicians had made significant advances in algebra , in the numerical solution of equations and in the rudiments of the binomial theorem .