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第一章介绍几个重要的矩阵数值域基本特性。An algebraic and a bijective proof is presented.

矩阵定义网路的代数方程。This matrix defines the network algebraic equations.

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代数多重网格法可以避免这些缺陷。The algebraic multigrid method can avoid those defects.

代数数多还是超越数多?。The algebraic number more or the transcendental number?

公共子表达式消除和代数简化Common Subexpression Elimination and Algebraic Simplification

把每个文字表达式写成代数式。Write an algebraic expression_r for each verbal expression_r.

而电压表的读数则是所有这些源的代数和。The meter reading will be the algebraic sum of all these sources.

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这减少了问题的解决，一个代数方程。This reduces the problem to the solution of an algebraic equation.

将关系网看作一个抽象数据类型，给出了其代数规范说明。Then the relation net is an algebra of the algebraic specification.

紊流模式与封闭性。代数模式。传输模式。Turbulence Modeling and Closure. Algebraic Models. Transport Models.

它体现了代数学中研究其他代数结构的基本思路。It reflects the algebra in other algebraic structure of the basic idea.

我们现在有一个代数方程,可以求解B稳态。We now have an algebraic equation where we can solve for B steady state.

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最近有人提出一种新的代数对角化方法。But recently some people presented a new algebraic diagonalization method.

它主要用于求解一系列的代数方程。EES can efficiently solve hundreds of coupled non-linear algebraic equations.

QF环的研究已成为近期国际代数学界研究的热点。Now the study of QF rings has been a hotspot in international algebraic world.

这样可以继续采用极大代数方法来研究HEG。Therefore the max-plus algebraic method was continuously used to studying HEG.

这是一个代数游戏,可是在计算中,却十分关键。It's just an algebraic game but very important when you make your calculations.

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从此，越来越多的代数拓扑学家对这一领域产生了兴趣。From then on, more and more algebraic topologist become interested in this area.

特别地，对称布尔函数已被证明了具有很高的代数免疫阶。Symmetric boolean functions have been proved to be have high algebraic immunity.

世间的爱用数字上的关系表达就像等式两边的代数。All love is mathematically just,as much as the two sides of an algebraic equation.