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1)  first_degree algebraic equation
一次代数方程
1.
In this paper, by using the matrix representation of the generalized quaternion algebra, we discussed solution problem for two classes of the first_degree algebraic equation of the generalized quaternion and obtained critical conditions on existence of a unique solution, infinitely many solutions or nonexistence any solution for the two classes algebraic equation.
本文运用广义四元数代数的矩阵表示讨论了两类广义四元数的一次代数方程的解问题 ,并得到了这两类代数方程有唯一解、无穷多解、无解的判别条件。
2)  normally cubic equation
一般三次代数方程
1.
Applying the operation on three ary number,we got the formula that was applied to seeking the roots of normally cubic equation,and proved that the result is consistent with Cardan s formula.
应用三元数运算,推导得到了一般三次代数方程的求根公式,结果证明与卡尔丹公式是一致的。
3)  cubic algebraic equation
三次代数方程
1.
The generalized quardratic algebraic inequality is obtained by using the method of completing the square and solution of the cubic algebraic equation.
利用配方法和三次代数方程的求根公式,得到了一个推广的二次代数不等式。
4)  higher-degree algebraic equation
高次代数方程
1.
The solution of higher-degree algebraic equation with real coefficients and Numerical calculation;
实高次代数方程的求解与数值计算
5)  integral indeterminate equations of first degree
整数一次不定方程组
6)  degree of equation
方程次数
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