重根

For example,suficient of polynomials with integer coefficient is not integer root and is not repeated complex root etc.

包括整系数多项式的无整数根的充分性，整系数多项式无重根的充分性。

To be specific,its generalized characteristic polynomial has positive double roots,which we proved further has only a double,root by using the affine transformation and inverse affine transformation.

为了更好地进行干涉判断，根据椭圆-椭圆外切的代数条件——广义特征多项式具有正的重根，以及进一步证明出的该正重根的唯一性结论，利用仿射变换和逆变换方法，推导出了椭圆-椭圆的不适合边界解析方程。

In order to get the λ repeated root s of equation f = 0, where λ∈R~+ and the equation may be underivative, an generalized Newton iterative method was constructed with order 2 as its convergence.

设方程f=0有λ重根，其中λ为任意正实数，函数f可能不可导，给出了求这一类方程的λ重根的一个广义Newton迭代法，并证明了这种方法的收敛阶为2。

But it becomes difficult to repeated-root cyclic codes, because X -1 can not factor uniquely over a finite ring when n is not prime to the characteristic of the residue field of the ring.

主要内容分为以下几个方面：第一，给出了环F_2+uF_2上长度为2n的重根循环码及其对偶码的结构，进一步讨论了这类重根循环码与单根循环码二者之间的极小Lee-重量关系。

Give out the distinguish theorem of multiple root based on maximum value.

根据导函数的极值分析实根的分布情况、迭代区间和迭代初值，利用三次收敛的迭代方法求解方程的实根，给出了根据极值的重根判别定理。

In this paper we analyze the theory of Julia sets of Newton method for multiple roots, construct the standard, relax and multiple root's Julia sets.

作者分析了重根牛顿变换的Julia集理论，并利用迭代法构造了标准牛顿变换、松弛牛顿变换和重根牛顿变换的Julia集。

This paper brief introduce numerical method of algebraic equation,points out their shortcoming of missing multiple root and put forward one new kind of method--multiple derivation numerical method.

本文对通常代数方程的数值计算方法特点进行了简介并给以分析，指出了这些解法无法得出重根数的缺陷，提出了一种新的解决方法———多次求导数值计算法，使得数值计算法更加清晰、明了，且可得出重根数。

Just like that there are an irrational root and a rational root for the existence of quadric equations with one unknown, there is objectively a "triple root" solution for sports will: these three roots are unified root, rational root and irrational root.

正像数学一元二次方程存在无理根和有理根那样，体育意志也客观地存在着"三重根"：它们是统一根、有理根和无理根。

Just like that there are an irrational root and a rational root for the existence of quadric equa-tions with one unknown, there is objectively a "triple root" solution for sports will: these three roots are unified root, rational root and irrational root.

正像数学一元二次方程存在无理根和有理根那样，体育意志也客观地存在着"三重根"：它们是统一根、有理根和无理根。

In this paper, complete eigen-values salution method, characteristics of multiple roots and eigen-functions calculation are described.

重点介绍了在求解二维切口问题完备特征根方面的一些进展，包括特征根的求解方法、特征根的重根探讨以及相应的特征函数计算，这一问题基本上得到了解决。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。