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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。

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。

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.

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。

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I had a lovely dog named PiPi, he was one of my best friends.

我曾经有过一只小狗,它的名字叫皮皮,它很善良,它是我最忠实的朋友。

Newly ovulated mouse oocytes were cultured in the CZB medium supplemented with different concentrations of pyruvate before treated for activation or assayed for MPF activity.

我们猜测卵母细胞在不含丙酮酸的条件下老化的更快,并且卵丘细胞可能通过消耗不含葡萄糖的CZB中的丙酮酸从而促进卵母细胞老化。

At least now there are trappings of progress.

至少到现在已经有前进的迹象。