多函数

Applying Lyapunov function method and the property of the matrix measure and the matrix norm, some new sufficient conditions for asymptotic stable independent of delay of the linear systems with multiple time delay are presented.

综合利用Lyapunov 函数方法，结合矩阵测度和矩阵范数的性质，通过加强不等式，给出线性多时滞系统时滞无关渐近稳定的新的充分条件。

To extract the parameters in partial coefficients matrix of potential efficiently in silicon substrate integrated circuits, an approximated closed-form three-dimensional multilayered Green's function is derived with a modified complex fitting the exponential function method in spectral domain.

为了有效地提取硅衬底集成电路中导体单元之间的电位系数矩阵，在谱域中采用了改进的复数拟合指数函数方法，导出了三维有耗多层介质中的近似闭式格林函数。

Using a planar target as intermedium, an optimized object function of the position and orientation transformation matrix of the sensor is established; and the matrix, namely registration matrix, is derived from the feature points on the planar target.

采用一个平面靶标作为中介，建立了传感器位姿变换矩阵的优化目标函数，根据靶标上多个特征点求解出该矩阵，即拼接矩阵。

There is mutual contradiction between direction estimation of user's signal and power allocation among all users in the beamforming algorithm. A twice game beamforming algorithm based on game theory is proposed to deal with it. Beamforming game algorithm mathematics model is constructed. During the first game, direction of signal and power allocation are mapped the game theory as "player", which are modeled as the problem of maximin function and obtain direction estimation first. Then during the second game, power allocations of different users are described as a multi-user game. Power updated algorithm is designed. The existence and uniqueness of the Nash equilibrium in the twice game beamforming algorithm based on game theory are proved by mathematics derivation.

摘要针对波束成形算法中，用户的信号方向估计值和用户之间的功率分配存在着相互矛盾，本文提出了一种基于博弈论的二次博弈波束成形算法，构建了波束成形博弈算法数学模型，首先在第一次博弈的时候，将波束成形算法中的信号方向和功率分配映射为博弈论数学模型中的"局中人"，将其建模为函数的极大极小值求解问题，先求解出信号方向；然后在第二次博弈的时候，将不同用户的功率分配过程描述为一个多用户的博弈过程，设计了功率分配更新算法，通过数学推导论证了纳什平衡点的存在性和唯一性。

In this article, the wave of cutting speed is described as the deviation of mean square and the maximum deviation of speed during the working stroke.

本文用工作行程中速度的平均平方偏差及最大速度差来描述刀具速度波动，并以此为评价函数，采用多目标优化设计方法，确定牛头刨的主传动拉杆尺寸。

However, for hill-climbing strategies to be guaranteed to find the global optimum the optimality landscape must be unimodal. Moreover, research has demonstrated that multiple maxima exist under the maximum likelihood principle. Therefore, hill climbing based evolutionary tree reconstruction methods often return local optima.

但是由于进化树的似然函数通常含有多个局部极优解，而爬山算法没有逃离局部极优的能力，因此基于爬山算法的进化树构建算法很容易陷入局部极优。

Considering the real speech mixture model could be nonlinear-convolution mixture model, the author presents a new nonlinear speech separation algorithm by utilizing the Finite Impulse Response neural network and the GMM pdf estimation, based on the feedback architecture and the Maximum Likelihood principle.

考虑到真实多通道语音分离系统的输入混合语音有可能是不同语音源信号的非线性混合而不是简单的线性混合，基于反馈结构，采用GMM概率密度函数估计方法，作者提出了一种采用有限冲激响应神经网络的非线性、卷积混合盲信号处理语音分离批处理新算法。

The deformation damage object is defined as the max damage of all elements in net forging and the deformation uniformity object is defined as mean square deviation of the equivalent-strain in each element and the average equivalent-strain of all elements.

用锻件所有单元的最大损伤值作为衡量锻件变形损伤的指标，用锻件所有单元体的等效应变与整个终锻件的平均等效应变的均方差，作为锻件变形均匀性的指标，构造了多目标优化问题的评价函数。

The mean square deviation was used to calculate the weight, and compositive appraisement method of hierarchy multiplayer and the linear weighted function were introduced to build the two levels and integrated indicator of health diagnoses model-the health index.

以均方差决策法确定了各指标的权重，运用递阶多层次综合法、线性加权函数法分别建立了二级层次和综合指标健康诊断模型－健康指数。

The object of this thesis is to study the uniqueness problems of meromorphic func-tions and meromorphic mapping s in several complex variables.

本文以多复变数的亚纯函数与亚纯映射的唯一性问题为研究对象。

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。