多值函数

If the function succeeds, the return value is a pointer to the first byte of the memory block.If the function fails, the return value is NULL. To get extended error information, call GetLastError .

如果函数调用成功了，则返回值是内存块的首字节的指针，如果失败了，则就返回 NULL ，可以利用函数 GetLastError 获得更多的失败信息。

It is shown that in complex system like L-tyrosine, using a locally dense basis set with a large number of atomic basis functions for the carbon atom of interest and smaller sets of atomic functions for the other atoms can not only save the disk capacity and computing time but also produce satisfactory results.

由从头计算获得的结果与实验值符合较好，说明对于具有复杂结构的多原子体系，对杂原子使用较小的基函数，而对所关心的碳原子使用较大的基函数以提高计算精度，这样可以达到既节省计算机空间与计算时间而不影响计算精度的目的。

In this paper we study normal families of holomorphic functions and defects of more than two transcendental meromorphic functions concerning multiple values, which is an important subject in complex analysis.

本文主要研究全纯函数的正规性和涉及重值问题的多个超越亚纯函数的亏量问题。

For the single objective optimization, the decomposition and coordination method is adopted to build the decomposition and coordination model according to the existing sub-area division conditions of power networks. Then using the Augmented Lagrange method, the minimization problem of decomposition and coordination model can be changed to the saddle point problem of augmented Lagrangian function. Finally, the so called auxiliary problem principle is selected to decompose variables as well as the functions. This transforms the voltage and reactive optimization problem of the wholenetworks to some sub-problems in some sub-areas.

对于单目标无功电压优化，根据实际电网分区情况，采用分解协调法复制各分区的边界节点，建立分解协调模型，采用增广拉格朗日法将求分解协调模型的极小值问题转化为求增广拉格朗日函数的鞍点问题，然后采用辅助问题原理分解变量和增广拉格朗日函数，从而将全网无功电压优化问题分解为多个分区的分布式并行优化问题。

By a more precise estimation of maximum value of a B-spline basis function and utilizing of the local support property of B-spline basis function, the control points of a set of compatible B-spline curves are reduced, which makes the skinning algorithm more effective.

对B样条基函数的最大值进行了更为精确的估计，并且充分利用B样条基函数的局部支撑性，尽可能多地删除相容性处理后B样条曲线的控制点，使得蒙皮算法更加有效。

The basic idea was to discrete the structure and find the load function according to the energy criterion of buckling and the principle of random displacement method. As the critical load is the minimum of the load function, a problem of frame buckling can be transformed into an optimization problem. Therefore, the critical load can be found through solving the optimization problem.

先将结构离散为一个有限自由度系统；然后根据有限自由度系统平衡稳定性的能量准则和随机位移法的基本原理，建立符合能量准则的载荷函数，该函数不为零的最小值即为临界载荷，由此将稳定问题转化为无约束的多维优化问题；最后应用遗传算法求出相应于最优解的目标函数值。

The speciality to let several coefficients of S-M algorithm are analyzed;(2) We first propose the nonlinear and adaptive prediction model based on several closest neighbors and extend the method to multistep prediction;(3) We first exploit Empirical Mode Decomposition technology to predict hopping frequency codes, it is namely that a complex time series is decomposed as several Intrinsic Mode Functions easy to prediction, then predict these IMF respectively, at last reconstruct estimated values of the time series;(4) We exploit the above prediction model validate effect while there are omitted data in observed time series and propose the corresponding resolve.

1具体分析了S-M算法中几个参数设置的特点；(2)首次提出了基于邻近点的非线性自适应预测模型，同时将这种算法推广到多步预测；(3)首次采用经验模态分解技术预测跳频码，即将一个复杂难以预测的时间序列分解为几个相对容易预测的本征函数，然后分别预测这些本征函数，最后重构出时间序列的估计值；(4)应用基于邻近点的非线性自适应预测模型验证了观测时间序列存在数据缺损时的预测效果，并提出了相应的解决办法。

The numerical calculation commonly used for the Delphi process more than 100, including solutions of linear algebraic equations, interpolation, numerical integration, special, function approximation, eigenvalue problems, data fitting equation Root and solve nonlinear equations, functions and the extreme optimization, statistical data description, Fourier transform spectra, solution of ordinary differential equations reconciliation partial differential equations.

本书共有数值计算中常用的Delphi子过程100多个，内容包括解线性代数方程组、插值、数值积分、特殊函数、函数逼近、特征值问题、数据拟合、方程求根和非线性方程组求解、函数的极值和最优化、数据的统计描述、傅里叶变换谱方法、解常微分方程组和解偏微分方程组。

A Multi-Species Cooperative PSO algorithm is developed using the ideas of species dividing in the bionomical world. The algorithm is shown to have guaranteed convergence to the global optimum. Furthermore, the training strategies of RBF network structures and weights based on the MCPSO aigorithm is proposed. Simulation results show that the algorithm is effective in such fields as chaotic time-sequence forecasting, system identification, speech signal processing and etc.

在分析基本微粒群算法和协同微粒群算法特点的基础上，借鉴生态学中的种群划分思想，设计出一种多种群协同进化微粒群算法，并分析了该算法的收敛性能；在分析径向基函数神经网络结构的基础上，提出了基于多种群协同进化微粒群算法的径向基函数神经网络结构和权值优化设计策略，并在混沌序列预测、系统辨识、语音信号处理等应用仿真实验中验证了算法的有效性。

The grid multi-scroll chaotic system is constructed by triangular wave series and step function sequence, and the value of the turning point and the balance point in above function are found.

提出了产生 n×m 涡卷混沌吸引子的一种新方法，用三角波函数序列和阶跃函数序列构造网格多涡卷混沌系统，找出函数中平衡点和转折点的值，并对系统的基本动力学特性进行了研究，包括理论分析和计算机模拟仿真。

And discuss some key point of integrated management system design, include hazard identification and risk assessment and risk control in the occupational health and safety management, the measure of satisfaction target of customer, the flawlessness of law system, the integration of the integrated management system and enterprise standardization system, unify lead institution and work orgnization, integreted internal audit and integrated management review.

同时，论述了一体化管理体系构建中的几个主要问题，包括职业健康安全管理中的危险源辨识、风险评价和风险控制、顾客满意度的科学监测、法律、法规体系的完善、一体化管理体系与企业标准化体系的有机结合、统一的领导机构和工作机构、一体化的内部审核和管理评审。

Deepwater Taranaki is investigated for its petroleum potential, using all available seismic data tied to shallow-water wells.

运用与浅水井相关的现有全部震波探测数据考察了深海区塔拉纳基盆地的油藏前景。