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 other 3 variables are obtained by using Euclidean algorithm.
使用Sylvester结式对4个多项式方程依次两两消元,得到一个一元50次的多项式方程,求解后使用辗转相除法求其他3个变量,完成位置分析。
Euclidean algorithm is used to solve other 3 variables,but the process shows that there are 4 extraneous roots in the 44-order univariate polynomial equation.
首先使用矢量法和复数法建立4个几何约束方程式,再使用Sylvester结式消元法对4个方程式分3步消元,得到一个一元44次的多项式方程,在使用辗转相除法求解其他3个变量的过程中发现了4个增根。
To prove the uniqueness and the property of the lowest degee about u(x)and v(x)by algorithm of pision in the greatest common factor expression d(x)=u(x)f(x)+v(x)g(x).
对最大公因式的表达式d(x)=u(x)f(x)+v(x)g(x)中用辗转相除法所得出的u(x)和v(x)所具有的唯一性和次数最低性进行一下证明。
Three ways of obtaining the maximal common pisor are presented, that is, the pision algorithm, elementary alternation and factorization resolution.
给出了求最大公因式的３种方法，即辗转相除法、初等变换法及因式分解法。
In this paper,we obtain several solutions to the greatest common pisor of polynomial of one indeterminate by using the pision algorithm and elementary transformation and oblique elementary transformation of matrix.
文章从辗转相除、矩阵的初等变换以及矩阵的斜消变换等不同角度给出了一元多项式的最大公因式的不同求法。
Generally speaking, pision algorithm and factor resolution can be used to find the greatest common factor of the two multinomial.
求两个多项式的最大公因式，可以用辗转相除法及分解因式法。
The Recursion Relization of the Greatest Common Divisor of Many Numbers with the Continuous Minus Method;
辗转相减法求多个数的最大公约数的递归实现
He listened while people relayed stories of local corruption.
人们辗转述说当地贪赃枉法的事情，他只是听着。
The sick boy was tossing and turning in his bed.
病童在床上辗转反侧。
He tosses all night long, So deep in love, so deep!
悠哉悠哉, 辗转反侧
So, Charles and Anne fled to Britain and then to France to try to escape the press.
为了躲避报界的纠缠，查尔斯和安娜飞往英国，然后辗转法国。
Dual-Reduction Tinplate
双相辗压镀锡薄钢片
When I began bolting my food and thrashing in my bed at night, Lucile tried to calm me.
当我开始狼吞虎咽地赶着吃东西并且在床上辗转睡不着的时候，露西尔设法使我平静下来。
He thrashed about in bed with a high fever.
他因为高烧,在床上辗转反侧。
Probably heard the scandalous tale at third hand.
也许是辗转听到这中伤的谣言
He tossed on the bed in pain.
他痛苦地在床上辗转反侧。
He tumbled restlessly in his bed.
他很不安地在床上辗转反侧。
Each time he recalled this he wanted to squirm in his seat.
每当想到这个问题他都辗转不安。
tossing unrestfully, and turning over.
睡思不宁，辗转反侧，久不成眠。
Amidst these thoughts, poor Jones passed a long sleepless night.
可怜的琼斯就这样百感交集，辗转难眠。
It is highly modulated, stepping forward and back, and shifting and turning, in the same way a dancer does.
若舞者的步态，前迈后撤，辗转腾挪。
Chagrin and annoyance tossed her to and fro.
悔恨与烦恼令她辗转反侧。
Life was like a restless dream.
生活就象在做辗转反侧的梦一样。