查询词典 compactification theorem

If the power series ∑anxn an ∑anxn and ∑bnxn satisfy the condition r =∑bn xn, we obtain the twin combinatorial identity theorem between the sequences {an} and bn}.We also obtain some specific twin combinatorial identities by using the expansion on the binomial expression formula, including two expansions of combinatorial number(rsn and ...

如果幂级数∑anxn与∑bnxn满足条件r＝∑bnxn 时，获得数列｛an｝与｛bn｝之间孪生组合恒等式的定理，应用在二项式定理等展开式上得出具体的多组孪生组合恒等式，其中包含组合数的两种展开法，Bernoulli数直接表达式的新证等结果。

Functions, relations and graphs; inverse functions; inequalities; theory of equations; introduction to matrices; determinants; binomial theorem; sequences and series.

函数， 图表，曲线。反函数，不等公式，等式，矩阵的介绍，定列式，序列和系列等。

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

他给他的学生们讲授二项式定理的奥秘。

By the age of 20, Sir Isaac Newton found a general binomial theorem which lead to the later development of calculus.

20岁的时候，牛顿发现了一个二项式地理，为以后发展微积分做好了准备。

It included Karaji's binomial theorem and rules of the arithmetic polynomial operations and developed Karaji's theory of polynomial.

其中保存了凯拉吉的关於二项式定理的工作以及多项式的运算法则，并进一步发展了凯拉吉的多项式理论。

In 1665, he discovered the generalised binomial theorem and began to develop a mathematical theory that would later become infinitesimal calculus.

1665年，他发现了广义二项式定理，并开始开发一种数学理论，后来成为微积分。

This book included Karaji's binomial theorem and rules of the arithmetic polynomial operations and it developed Karaji's theory of polynomial.

算术珍本》中保存了凯拉吉的关于二项式定理的工作以及多项式的运算法则，并进一步发展了凯拉吉的多项式理论。

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

如果按二项式定理展开来计算平方根，P的计算可以简化。

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。

The binomial theorem expands powers of sums.

二项式定理扩大权力的高低。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。