extraneous root meaning in English
额外根
Examples
- Firstly , a 52 degree univariate polynomial equation is deduced by using resultant elimination method . 6 extraneous roots are found during the process to obtain the other 3 variables by using euclidean algorithm
首先使用结式对4个多项式方程直接消元，得到1个一元52次的多项式方程，再用辗转相除法求其他3个变量，在此过程中发现了6个增根。 - The production reason of extraneous roots is analyzed and the improved method is proposed , that is the degree of the variables during the elimination process is reduced by searching relations among the vectors , so that a 46 degree univariate polynomial equation can be obtained directly
分析了产生增根的原因并提出了消元过程中避免增根的改进措施，即寻找相关向量之间的关系，在消元过程中降低变量的次数，直接得到一元46次方程。 - Numeric - symbolic technique is introduced in the procedure of resultant elimination , procedure of number - spobol manipulation is transformed into that of matrix manipulation . because joini variables are treated as symbols and all structure paramcters are treated as real nuxnbers , the complexity of derivation for input - output equaion is reduced . the soluton is verified with a numerical example , its rsults withoot extraneous roots agree with the original equaions
消元过程中引入了数字-符号方法，将结构参数处理为数值量，将关节变量处理为符号量，将数字、符号推导过程转化为了矩阵运算过程，由于结构参数以数值量的形式出现在方程推导中，降低了符号推导的难度，符号推导不需要复杂的符号处理软件的支持。