查询词典 ramified algebraic function element

By introducing the nonlinear complementarity problem function, the Karush-Kuhn-Tucker conditions of OPF model are transformed equivalently into a set of semismooth nonlinear algebraic equations. Then the set of semismooth equations can be solved by a semismooth L-M method based on the subdifferential. The method belongs to Newton-type method. It can ensure the positive defmitiveness of the iterative coefficient matrix by using the L-M parameter, which avoids the ill-conditioning of iterative equations. The method, requiring only the approximate solution of a linear system at each iteration, is quite applicable to the large-scale cases.

在利用非线性互补函数将OPF模型的KKT条件转化为半光滑非线性代数方程组后，采用基于次微分的半光滑L-M法求解，该方法属于牛顿法范畴，可通过对L-M参数的调整保证迭代系数矩阵的正定性，克服了系数矩阵的奇异引起的"病态"，且该方法在确定搜索方向时只需求解线性系统的加热器近似解，适用于大规模系统的求解。

In the POPF model, wind farm is modeled by the probabilistic wind farm model considering the reactive power-slip characteristic, and the inequality constraints include not only the unit output constraints, the ratio constraints, the voltage constraints and the line current constraints but also the reactive compensation capacity constraints in wind farm and the system climbing capacity constraints per minute. By introducing the NCP function, the KKT conditions of POPF system are transformed equivalently. Based on the transformed nonsmooth nonlinear algebraic equations, the FOSMM is used to determine the POPF model expressed by the numerical characteristic of variables. The model includes nonsmooth functions, so it can be solved by a semismooth Newton-type method based on the subdifferential.

概率最优潮流模型中，风电场采用考虑无功功率—滑加热器差特性的风电概率模型，不等式约束中除了机组出力约束、有载调压变压器变比约束、电压约束和支路电流约束，也考虑了风电场无功补偿容量约束、系统的分钟级爬坡能力约束；使用非线性互补函数将概率最优潮流的KKT条件转化为一组包含有不光滑函数的非线性代数方程组，然后基于一次二阶矩法确定了以待求量的数字特征表示的POPF模型，由于该模型包含不光滑函数，因此采用基于次微分的半光滑牛顿型方加热器法求解。

The algebraic proof of this equivalence involves the Cauchy-Binet formula and multi-Schur functions based on the complete super symmetric function.

与此等价的代数证明需要Cauchy-Binet公式和基于超完全对称函数上的multi-Schur函数两方面的知识。

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。

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。

This function can be used to get the address of a variable or an array element. It takes the variable name or the array element as the parameter and returns the address.

这个函数可用于获取变量或数组元素的地址，它以变量名或数组元素为参数，返回相应地址。

Differential matrices are obtained on the element in accordance with continuous intervals of discontinuous boundary value problem to divide the computing elements and approximating unknown function on the element in term of barycentric Lagrange interpolation.

按照间断边值问题的连续区间划分计算单元，在每一个单元上采用重心Lagrange插值近似未知函数，得到每一个单元上的微分矩阵。

I'm not an actor. I'm a professor of paleontology.

我不是演员，我是古生物学教授

Spider Network Web site that is a very image of the name.

网络蜘蛛即Web Spider，是一个非常形象的名字。