查询词典 polynomials

The content is : theory of polynomials and finite field; psudo-random sequence and stream cipher; textbook cryptography and modern cryptography.

主要的内容有：多项式理论与有限域理论；伪随机序列与流密码；教科书密码与现代密码。

Based on a kind of orthogonal complete functions in L2[0,1], another one (called V-system) which has equivalence relation with U-system is created. It is a kind of new and effective mathematical tool on signal multi-resolution analysis. Besides that V-system keeps the favorable properties of U-system and can accurately reconstruct geometry information which expressed in piecewise polynomials by finite sum of functions in V-system, it has more special properties, such as simple construction, abundant levels, convenience of application, quick calculation, local support, and so on. V-system is the generalization of Haar orthogonal functions, and to be a class of wavelet base. It has a good future for some applications in the fields of wavelet analysis and signal processing.

从L2[0，1]空间的一类正交完备函数系U系统出发，构造了另一类与之等价的正交完备函数系，称之为V系统，它是信号多分辨分析方面的一种新型的、有效的数学工具。V系统不仅保持了U系统的优良特性，对多项式表达的几何信息能够做到有限项精确重构，并且较之U系统，它更有结构简单、层次分明、计算快捷、局部支集等特点，应用起来将更加灵活方便。V系统可以看作是Haar函数系的推广，是一类小波基，在某些数字信号处理及小波分析问题中有良好的应用前景。

The process of replacing polynomials by formal power series is an example of a general device known as completion.

用形式幂级数来代替多项式的过程是被称之为完备化的这种一般手段的一个例子。

Through the Radon transformation of the normally ordered Wigner operator we introduce two mutually conjugate intermediate coordinate- momentum representations. Based on them we construct the appropriate quantum phase space theory which includes the new Wigner operator adapting to this space and construct the appropriate generalized Fredholm operator equation and then find its solution. We then deriving the Hermite polynomials operator identities by applying the Fredholm equation. We also reveal the connection between the generalized Wigner operator and the 2-dimension normal distribution in statistics, which is useful to study the quantum tomogram. As the application of the entanglement Husimi operator theory we calculate the Wigner function and the Husimi function of the one- and two-mode combination squeezed state , study their characters through drawing the three-dimensional graphics.

由正规序Wigner算符的拉登变换引入了两个互为共轭的中介坐标-动量表象，在此基础上我们建立了相应的量子相空间理论，其中包括引入适合该空间的新的Wigner算符；并在该表象的基础上，建立了广义Fredholm算符方程，求出了它的解，并运用该方程导出有关厄米多项式的算符公式；揭示广义Wigner算符与统计学中的随机变量的二维正态分布形式上的相似，这对于研究量子态的tomogram(是英文Tomography的派生词)有用。

Based on the polynomial theory on a Galois field, the author presents linear complexity and minimal polynomials of all binary Whiteman generalized cyclotomic sequences with the period pq.

西北师范大学数学与信息科学学院，甘肃兰州 730070摘要：周期为pq上的2阶W-广义割圆序列的线性复杂度和极小多项式是丁存生于1998年给出的。

In the second part, we gave several basic and essential knowledge of inverse eigenvalue problems for Jacobi matrices: such as the properties of tridiagonal matrices, Jacobi matrices, orthogonal polynomials, Gauss quadrature formula and inverse eigenvalue problem for Jacobi matrices.

第二部分介绍了求解Jacobi矩阵反问题的基础：三对角矩阵和Jacobi矩阵，正交多项式，高斯积分方法的性质和Jacobi矩阵特征值反问题。

By using Zernike polynomials to describe the wavefront distortion of beams, the propagation properties of the flattened Gaussian beams, super Gaussian beams, Gaussian beams and plane waves passing through an aberrated lens or an aberrated annular lens are studied based on the generalized Huygens-Fresnel diffraction integral.

以广义惠更斯—菲涅尔衍射理论为基础，采用Zernike多项式描述像差光束畸变波前相位，研究了平顶高斯光束、超高斯光束、高斯光束以及平面波通过像差透镜和环状像差透镜的传输。

Now the university to open higher algebra, general consists of two parts: a preliminary linear algebra, algebra polynomials.

现在大学里开设的高等代数，一般包括两部分：线性代数初步、多项式代数。

Such as,the generating function and the q-Mehler formula of this polynomials.

作为应用，我们还给出了基本超几何级数的一些形式扩张公式。

These include the study of the group of homomorphisms on graphs, the construction of graphs from a group, using the eigenvalue or other linear algebraic techniques in the study of graph theory and the study of polynomials associated with a graph.

如图上的自同态群的研究，利用特徵值及线性代数的方法来探讨图的性质、以及与图有关的多项式。

Core, self psychology is psychoanalytic, but there are crucial differences in how the patient-therapist relationship is viewed.

自体心理学的核心是精神分析，但在如何看待患者-治疗师关系方面，自体心理学和精神分析有着根本性的不同。

High-performance cars brake drum production costs increase less than 10%.

高性能汽车刹车鼓的生产成本增加小于10％。