查询词典 algebraic function

On one hand, profound understanding of harmonic oscillator model through various ways is crucial to understand the essence of quantum mechanics and research into micro physical models by means of quantum mechanics; on the other hand, the application of algebraic approach to solve the eigenvalues and wave function of mechanics is the main means to solve the actual problems in quantum mechanics.

简谐振子模型是量子力学中极其简单又重要的模型，其物理思想在其他相关的学科中都有着广泛的应用，通过多种途径去深入理解简谐振子模型，对理解量子力学的实质和运用量子力学作为工具去研究微观物理模型都有重要的意义；另一方面在实际工作中应用代数方法去求解力学量的本征值和波函数是研究量子力学的主要手段。

With the frequency and mode shape being regarded as functions of damage parameters, the overdetermined algebraic equations with damage parameters as unknowns can then be constructed by differentiating frequency and mode function on the basis of structure mode finite element formula, the damage parameters of which are obtained via Taylor expansion.

本方法从结构模态有限元算式出发，把频率和振型看作损伤参数的函数，经过泰勒展开获得频率、振型对损伤参数的一阶偏导数，然后构造以损伤参数为未知量的超定线代方程组，求解得到全部损伤参数值。

Two construction methods for fewer views from limited range—ART and SART are studied, and simulated a physical fields views whose variation of deflection is equal to double-Gauss function, and then reconstructed it, and still analyzed the accuracy of the reconstruction methods.After study and analysis on the theory of ART and SART, and after analysis the properties resulted from their theory root cause, A modified simultaneous algebraic reconstruction method is presented, which is based on ART, this method takes into account both the pixel itself and the pixels close by it which are crossed by the same ray.

论文研究了两种有限投影方向的非轴对称场的CT重建算法——代数重建法和联合代数重建法，并用VC++程序模拟实现了折射率分布为双高斯函数的场的正向投影及重建过程，并对所用算法的重建精度进行了分析。

Based on the idea of solving nonlinear evolution equations, algebraic method, algorithm reality and mechanization, in Chapter 3, we firstly present the new generalized tanh function method, and apply it to construct the exact solutions of the (2+1)-dimensional Kadomtsev-Petviashvili equation.

第三章基于非线性发展方程求解代数化、算法化、机械化的指导思想，以吴方法和符号计算为工具，首先提出一种新的广义tanh函数方法，并将其应用于(2+1)-维Kadomtsev-Petviashvili方程的精确解构造。

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按&序&最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

The positions and functions of the inventory control in the environment of supply chain are discussed first. The analysis on main conflict problems needed to be determined is presented. Based on the algebraic Petri nets the modeling research on vender managed inventory is proceeded on. Considering the shortages of the original algorithms, the improvements are putout to speed up the search process and improve the precision of the search results. The optimizations of lots sizing problem with the objective function of inventory costs are processed by the improved optimal algorithms. By the analysis on the results of the optimization, the conditions of overtime work, out of stock, and security stock are achieved.

文章首先讨论了供应链环境下库存控制在物流管理中的地位和作用，分析了库存控制需要解决的主要矛盾；然后应用代数Petri网对供应商管理库存(Vender Managed Inventory，VMI)的模式进行了建模研究；针对原始的粒子群优化算法和遗传算法存在的不足，分别提出了改进型算法，提高搜索速度和搜索精度；运用改进的优化算法对以库存成本为目标函数的批量计划问题进行了优化，通过优化结果的分析，得出了批量生产计划安排中加班、缺货和安全库存的存在条件。

While the standard Airy function, used frequently in the uniform asymptotic formulas for classical orthogonal polynomials, behaves like the exponential function on one side and the trigonometric functions on the other side of an extreme zero,the q-Airy polynomial behaves like the q-Airy function on one side and the q-Theta function on the other side.

在经典正交多项式的一致渐近公式中我们通常要用到Airy函数，这个Airy函数在一个极端零点的一边表现为指数函数，另一边又表现为三角函数。同样地，q-Airy多项式在一边表现为q-Airy函数，另一边又表现为q-Theta函数。

This paper compares periodic set with almost periodic set, and properties of periodic function with that of almost periodic function through analysing the definitions of periodic function and almost perodic function, and then draws some important conclusions.

利用周期函数与概周期函数的定义，把周期函数的周期集与概周期函数的概周期集进行了比较，把周期函数与概周期函数的性质进行了比较，并得出一些重要结论。

A main feature in developing the theory is that the scope is expanding: from almost periodic function, asymptotically almost periodic function, weakly almost periodic function to pseudo almost periodic function which was introduced by Professor Zhang in 1992. Every extension consumedly enlarges the theory and their applications.

从概周期函数、渐进概周期函数、弱概周期函数，一直到张传义教授在上世纪九十年代初提出的伪概周期函数，每一次函数范围的扩展都大大地丰富了概周期函数的理论和其应用前景。

Methods 42 children with CP (26 males, 16 females, average age 49.5±21.5 months, 11 children with spastic quadriplegia, 22 with spastic diplegia, 5 with spastic hemiplegia, 2 with athetosis and 2 with dystonia) were assessed with Gross Motor Function Classification System and Gross Motor Function Measure for the assessment and classification of gross motor function. Pediatric Evaluation of Disability Inventory PEDD was used to assess the ADL. The ADL of children with different levels of GMFCS and the correlat ion between gross mot or function and ADL were analyzed. Results The more severe of GMFCS, the less standard score of PEDI.

方法对 42例脑瘫患儿（男性26例、女性16例，年龄49.5±21.5个月；痉挛型四肢瘫11例、痉挛型双瘫22例、痉挛型偏瘫5例、徐动型2例、肌张力障碍型2例）采用脑瘫粗大运动功能分级系统和粗大运动功能测试量表进行粗大运动功能分级和评估；采用能力低下儿童评定量表进行日常生活能力评定，分析不同GMFCS等级脑瘫患儿的日常生活能力表现，以及粗大运动功能与日常生活能力之间的相关性。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。