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1·We solve for a steady state algebraically.

我们用代数方法解决A稳态。

2·When you don't know how to solve a problem algebraically, work backwards and plug in answer choices.

如果你不会用代数方法解题，把答案分别代进去算算就知道了。

3·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。

4·Using a set of rules to drive the matrix, the process for constructing the chain code is algebraically implemented.

采用一组规则驱动该矩降，能够使转换过程用代数方法实现。

5·In this paper, we discuss the classification of 3-dimensionally commutative algebras on algebraically closed field.

研究了代数闭域上三维交换代数的分类。

6·This paper proves that any one-step and two-step hybrid methods with explicit predictor is not algebraically stable.

本文证明了基于显式预报的一、二步混合方法不是代数稳定的。

7·In the first chapter, we discuss the fully graded algebras over discrete valuation ring with an algebraically closed residue field of characteristic p.

第一章中，我们研究了剩余域是代数闭域的离散赋值环上的完全分次代数；

8·Two algebraically explicit analytical solutions of the governing equation set for the coupled heat and mass transfer process of rapid drying in porous media are derived.

对多孔介质快速干燥过程的传热与传质耦合方程组导出了两套代数显式解析特解。

9·Two sets of algebraically explicit analytical solution are derived for the partial differential equation set describing the one dimensional unsteady gas-liquid two phase flow.

对气液两相非定常一元流动方程组导出了两套代数显式解析解。

10·The two theorems are proved that any ring can be extended into an algebraically closed ring and that the quaternionic skew field over a real closed field is algebraically closed.

证明了任一环有代数封闭的扩张环，且实封闭域上的四元数体是代数封闭的，给出了代数封闭环的若干性质。