查询词典 polynomials

In Chapter 5, we gave explicit analytical expressions for generalized Hosoya polynomials of hexagonal chains.

在第五章中，我们给出了苯链的推广Hosoya多项式的分析表达式。

The zeta function is now a reciprocal of an infinite product of polynomials.

此外，对於任何由中的单位模变换决定的倾斜坐标皆可得到相同结果。

Content of the course consists of:(1)Basic Theories of Polynomials ;(2)Linear Algebra: topics on basic matrix theory, determinant, system of linear equations, vector space, linear transformation, eigenvalue problems, inner product and Euclidean space , and quadratic form etc.;(3) Analytic Geometry: topics on algebraic operations of vectors, coordinates, lines and planes, curves and curved surfaces, etc.

学习本课程后，学生应学会用线性空间与线性变换的观点处理包括线性代数方程组在内的有关理论与实际问题；学会熟练地运用矩阵工具；本课程还学习基本的多项式知识和空间解析几何的基本知识。课程内容包括几个主要部分：（1）多项式代数；（2）线性代数：矩阵，行列式，线性代数方程组，向量空间与线性变换理论，特征值问题，欧氏空间理论，二次型等；（3）解析几何：几何空间向量代数，通过建立坐标系以及借助向量方法研究空间平面与直线及点﹑线﹑面的相互关系，借助曲面方程研究空间曲面，尤其是柱面，锥面，旋转面和二次曲面以及曲面的交线等。

The temporary polynomial is exploited to save the intermediate result, and evaluations of polynomials are performed in the large-scale evaluation.

在上述研究的基础上，分析了逆向工程系统的开发方法和包含的软件模块，开发了软件原型系统。

Therefore,we know that under the mean of statistics, interpolation operators are not only ideal algorithm for realizing optimal approximation polynomials computation,but also ideal computing tool for realizing optimal information- based operation,and the property of their recover functions are good.

这说明了在统计学意义下，插值多项式算子一方面是实现最佳逼近多项式计算的理想算法，另一方面(来源：ABCdd论文网www.abclunwen.com)是实现最优信息基算法的理想计算工具，且具有性质优良的恢复函数。来源：AB03c303C论文网www.abclunwen.com

For different polynomials g, if the characteristic polynomial of a n matrix A is irreducible, then we get some theorems to determine matrix equations g =A solvable; if it is reducible, then, to see n-dimension space vectors M over a field F as F-module, we use module theory to determine these equations solvable such that it is simpler and clearer to investigate these questions.

对于不同多项式g，当n阶矩阵A的特征多项式为不可约的，我们给出了矩阵方程g=A有解的判定定理；当A的特征多项式为可约的，把域F上的n维线性空间M作为由A导出的F -模，我们利用模论知识来决定矩阵方程g=A有解性，从而使这一问题变了简单，研究思路更加清晰。

And discussed with more than division, irreducible polynomial discriminant method of application of Eisenstein; and detailed description of the number of polynomials, the same polynomial, polynomial arithmetic.

并论述了带余除法、不可约多项式艾森斯坦判别法的应用；并详细说明了多项式的次数，多项式的相等，多项式的运算。

Finally some examples of irreducible polynomials coefficient of the entire case.

最后例举了一些不可约整系数多项式的实例。

In this dissertation, we mainly focus on the computation of Jones polynomial and some its related polynomials of links in knot theory and analyze the distribution of their zeros.

本论文主要研究扭结理论中链环的Jones多项式和一些相关多项式的计算以及Jones多项式的根的分布，使用的方法基本上是组合方法。

To improve the computational efficiency,the scattering phase function is expanded and truncated as the summation of orthogonal polynomials such as Legendre function.

在有限计算资源的限制下，寻找最优的有限展开算法，获得能量守恒物理要求下的散射方向特征的准确性，是多年来辐射传输算法的追求目标。

Molecular Distillation is a kind of high vacuum distillation method, which is suitable for the separation of high boiling, heat sensitivity and viscidity products.

分子蒸馏技术是一种在高真空条件下进行的连续蒸馏过程，适合于分离高沸点、热敏性及具有生物活性的混合物。

They are to the Noughties what yuppies were to the Eighties .

那在六十年代是时髦的，但在八十年代肯定是过时了