应用分式化方法刻画了唯一分解环上对称矩阵模的保持伴随函数的线性变换的形式。

By the fractional method, characterized the linear preservers of the adjoint function on the symmetric matrix module.

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在通过对任一正整数提出另外一种唯一分解式的基础上，利用初等方法得到了关于立方补数的几个有趣的渐近公式。

On the basis of requesting another factorization of an integer in only one way, two interesting asymptotic formulas on cub complements are obtained through the elementary method.

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We actually threw half of the list away and we kept dividing it down, until ultimately we got something of size one to search.

我们实际上将另一半的列表给抛弃了,我们接着不断的如此分解下去,直接最终我们搜索到了唯一的一个元素。

麻省理工公开课 - 计算机科学及编程导论课程节选