研究了标度广义效应代数与标度效应代数的代数结构，给出了比较完整的结果。

The complete constructions of scale generalized effect algebras and scale effect algebras are studied in this paper.

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另外，群体特性通过微分运算及其逆运算所得到的李代数的代数结构而得到了解释。

Lie's Theory Within the framework of Lie' Theory, we associate infinitesimal transformations making up a Lie algebra with finite operations which are obtained from the previous ones by exponentiation.

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代数学,据约翰·德比夏尔所说,可以追溯到古巴比伦人留在楔形文字石碑上的简单的代数问题.

THE roots of algebra, asJohn Derbyshire tells us, go back to the ancient world: the Babylonians leftcuneiform tablets showing simple algebraic problems.

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Let's say you have to go through three or four operations to get a final number, well, do it algebraically.

让我们说,你不得不通过3-4个操作,才能得到最终的数，好吧，用代数方法求解。

麻省理工公开课 - 固态化学导论课程节选

I mean, you may not understand it with algebra before but some of these sorts of pictures have you seen before?

我是说可能代数部分你没看懂,但你们以前见过类似的图像吧

耶鲁公开课 - 博弈论课程节选

I want to show you how easy it is to change the code. But, notice, once I've added this I actually have a problem. This is now an under-constrained problem. I have more unknowns than I have equations.

我加上这个条件后,我马上面临一个问题了,这就是现在是一个非约束性问题了,我的未知数比方程数多,你从代数中可以知道。

麻省理工公开课 - 计算机科学及编程导论课程节选