在文章的最后，笔者给出了解代数不等式的一些教学建议。
In the end of the article, the author here makes some Suggestions on how to solve the inequalities in teaching students.
分别给出含根式的一个几何不等式和一个代数不等式的指数推广。
This paper intends to give the generalization with exponent respectively about a geometric inequality and an algebraic inequality containing radical expression.
利用排序不等式重证了一个代数不等式，并在此基础上得出了新的结论。
An algebra inequality is reproved by using sequencing inequality, from which some new conclusions are deduced.
代数的比重则会增加，考生要在线性方程、不等式、二元方程等方面做好准备。
Algebra is stepping up: Prepare for linear equations and inequalities, and systems of equations in two variables.
利用黎曼对称空间同正交对称李代数之间的密切关系及一个矩阵不等式给出了一个复流形上截面曲率的上界的精确估计。
We used the relationship of the Riemann symmetric space and the symmetric algebra, a matrix inequality to provided a estimate sectional curvature of a complex manifold.
解答分式不等式，选用数轴标根法比代数方法有更高的正确率。
In solving rational inequalities, using the number line yields a higher correctness rate than using algebraic manipulations.
解答二次不等式，选用代数方法比数轴标根法有更高的正确率；
While most of the students use algebraic manipulations, some adopted the method of using the number line, and still some few solve by sketching the graphs.
本文研究非线性时滞大系统的稳定性问题，通过微分不等式分析，建立起一些简洁、实用的稳定性代数充分准则。
In this paper, we study the stability of nonlinear large scale systems with time lag. Some simple stability criterion are obtained.
利用代数的方法获得了共点有限向量集的一类几何不等式 。
A research into the semi-norms on a finite-dimensional vector space;
利用代数的方法获得了共点有限向量集的一类几何不等式 。
A research into the semi-norms on a finite-dimensional vector space;
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