查询词典 polynomial of a variable

The theory of rings is an important content of Modern Algebra, while the polynomial rings is an important part of the rings. Polynomial ring is similar with power series ring, and it is a subset of the power series.

摘要环论是近世代数中的重要内容，而多项式环的性质又是环论理论中的重要组成部分，多项式环是幂级数环的子环且与幂级数环形式相近。

Through comparing the ring and polynomial ring to power series, the defition and theorem of the ring and polynomial ring can be extended into power series.

通过对比环、多项式环与幂级数环，将环、多项式环中的性质推广到幂级数环中。

For a series spatial and planar mechanism synthesis, synthetic equation set can be established according to the kinematics requirement and characters of the mechanism. Then trigonometric functions are rationalized so as to create a polynomial system =0 , and the polynomial solution=0 is obtained with synthetic elimination method.

对于平面机构与空间机构的各类综合问题，根据各种机构的运动综合要求和机构的特点，建立机构的综合方程组，然后通过三角函数的有理化，将综合方程组化成多项式方程组=0，并采用综合消元法求得其多项式解=0，进而求得待定的机构参数。

Then do carefully the construction of the auxiliary polynomial, beginning on mid-page 160, finally stating the Auxiliary Polynomial Theorem.

接着仔细讲辅助多项式的构造，从160页中间开始，最后讲辅助多项式定理。

PID controllers based on the interval polynomial stabilization theorem;2. Not only the H ∞ norm calculating guestion of the robust stability of the mixed-type perturbation in the interval polynomial family is studied, but also the range which can be done is enlarged to that of the more general linearly dependent cofficients perturbation.

本文讨论了不确定性系统的鲁棒稳定性分析问题，不仅研究了区间多项式族混和摄动的鲁棒稳定性中H∞的计算问题，而且将研究的范围从区间多项式族扩展到更具一般性的线性相关系数摄动的系统，以值域断面的几何性特为基础，提出了一种形象直观，简便实用的混和型摄动系统鲁棒稳定性的分析方法。

In Z2 to judge whether a polynomial primitive polynomial, and the right to the inverse polynomials.

在Z2中判断一个多项式是否本原多项式，并能对给定的多项式求逆。

II, Polynomial rings on a general field( on contrast of those over a number field): concepts of ring, ideals, field and several special rings as domains, principal ideal domains and unique factorization domains, the unique factorization theory of polynomial rings.

二、一般域上的多项式理论（是数域上多项式理论的推广）：学习环、域和几类特殊结构的环（整环、主理想环，唯一分解环等）的概念，多项式环的唯一分解定理；三、线性代数：讲述一般数域上的向量空间理论（是数域上向量空间理论的继续和推广），模的概念，主理想环上的模的结构及其线性变换的若当标准型等；四、一元多项式的解及域论：学习域扩张及其相关概念，伽罗瓦理论，用伽罗瓦定理判断根式解的存在性。

The equations of two classes of 3D polynomial maps that are equivariant with respect to the rotational symmetries of either a regular tetrahedron group or a regular octahedron group are strictly given, on the basis of which the properties of the general Julia sets created by these 3D polynomial maps are discussed and proved.

从理论上分析并证明了三维多项式映射满足等变的条件，精确地给出了关于正四面体群和正八面体群具有旋转不变对称性的两类三维等变映射的具体公式，在此基础上讨论并证明了三维多项式映射的广义Julia集所具有的性质。

The SEIDEL coefficients solved by wavefront fitting with Zernike annular polynomial and Zernike circular polynomial were compared.

比较对于不同遮拦比的环孔径波面采用Zernike环多项式拟合与采用Zernike圆多项式拟合求取SEIDEL系数的差别。

When the ratio of central obscuration is small, the circular polynomial with 9 terms could take place of the annular polynomial to solve the SEIDEL coefficients in some special situations.

在某些特殊情况下，对于中心遮拦很小的环孔径波面，可以采用9项Zernike圆多项式来代替环多项式进行拟合求取SEIDEL系数。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。