他们完成了长期以来努力对霍普夫代数上根进行的分类。
They finished their long-term classification effort of Hopf algebras with coradical.
也考虑了在根与解的问越上代数方程与具有滞后的代数方程的等价性。
The equivalauce of roots and solutions between algebraic equation and algebraic equation with time lags is considered.
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.
这些代数条件表示为由椭圆与抛物线，椭圆与双曲线确定的广义特征多项式的根的分布。
The algebraic condition can be represented by the distribution of the roots of the generalized characteristic equation of the ellipse and parabola (hyperbola).
本文介绍了一种求实系数高次代数方程全部根的新方法。
This paper presents a new method in which all roots of a higher degree algebraic equation with real coefficients can be found out.
本算法通用性强，不须求解方程的根就可绘制各种代数函数及超越函数曲线；
This algorithm has a large adaptability of both algebraic and transcendental curves and solving the root of the function are not needed.
求解高次实系数代数方程的根，对于控制系统的分析和综合设计有着重要意义。
Solving the algebra equation with real-coefficients of nth degree is of great importance for analysis and synthesis of a control system.
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.
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.
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