多函数

For the thrashing due to true sharing of data, we thoroughly study the relationship between array element accesses and loop indices of a nested loop, present a complete set of ideas, theories, and methods with which the staggering relation and the compacting relation between the threads of the nested loop (either with a single linear function or with multiple linear functions) can be determined at compile-time, and accordingly the nested loop (either perfectly nested or imperfectly nested) can be restructured to avoid the thrashing problem.

使用这套理论和方法，我们在编译时就可以确定出嵌套循环（含单线性函数或多线性函数，紧嵌套或非紧嵌套）各线索间的错位关系，一致错位关系和压缩关系，根据这种关系对嵌套循环进行重构可以使真共享抖动问题得到很好的解决。

For the one-dimensional p-Laplacian with indefinite weights, four sequences of periodic and anti-periodic eigenvalues are given by introducing the rotation number function, and these eigenvalues are the endpoints of the preimage intervals of the rotation number function at nonnegative integers.

本文以带变号权函数和带变号势函数的一维p-Laplacian为基本模型，系统地阐述了特征值的旋转数方法、带正权Dirichlet特征值的最佳估计、特征值在正则和奇异渐近半线性方程的可解性中的应用、Fucik谱的旋转数方法以及Fucik谱在周期解的扭转性和多解性中的应用。

In case of high input dimension system model, taking norm of input vector as the input of wavelet network instead of using tensor product method to construct wavelet network ,which could solve the problems of high computation and curse of dimensionality.

在模型结构方面，对于多维输入输出系统建模，本文放弃选用传统的标量积确定小波基函数的方法，将输入矢量的范数作为小波网络基函数的输入变量，从而避免了高维输入所带来的可用小波基数量巨大和计算复杂的缺点。

Using the linear combination of normal probability density functions to fit histograms of mean durations, it has the advantage of visualigation.

该方法用多正态密度函数（正态密度函数的线性组合）拟合平均持续时间的直方图，具有可视性的优点。

For first-order linear DPS with spatial-varying coefficient matrices a method is presented to approximate the system piecewisely by N partial differential equations with constant coefficient matrices.

它包括两大部分，一是关于分布参数系统的频率域数学描述即传递函数这一基本问题的应用研究，二是关于一类用多滞后型传递函数表示的分布系统的控制设计问题。

Samples in transitions of filters are optimized, which solves the problem that values obtained by look-up table method are not optimums. Aiming at prematureness appearing easily when GQA is used to optimize continuous functions with many peaks, IGQA is proposed.

针对遗传量子算法在优化连续多峰函数时易出现早熟的问题，提出一种改进遗传量子算法，典型函数测试表明，IGQA的性能优于GQA和其它几种遗传算法，收敛速度快，全局寻优能力强，能有效地克服早熟现象。

On the basis of the achieved result and the effect of stress such as minor principal stress, intermediate principal stress, hydrostatic pressure, stress Lode degree, a generalized hyperbolic failure function adapted naturally with the envelope form of Mohr-Coulomb criterion is proposed for brittle rocks; and a smooth failure function acquired by Yu Maohong is also presented. Thus, a generalized polyaxial strain energy strength criterion is created.

在分析脆性岩石强度的静水压力、中间主应力、最小主应力以及应力Lode角等4种效应的基础上，提出子午面上与Mohr-Coulomb准则包络线自然衔接的广义双曲线型破坏函数及八面体偏平面上光滑角隅型破坏函数，从而建立非线性广义多轴应变能强度准则。

Then, a method to generate adaptive UWB shaping pulse was proposed based on weight combination of prolate spheroidal wave functions matching UWB multiple sub-band spectral mask.

然后，利用PSWFs函数的特性，提出了一种基于多频带的PSWFs函数基的加权线性组合来设计UWB自适应脉冲波形的算法。

In this paper,pose representation by quaternions are researched.With the basic quaternion algebra,the "quaternion based rotations combination theorem" is introduced and proved theoretically.On the basis of this theorem,a method for compute of pose nonliear state transfer function and its linearization is purposed.Then,the computing of the measurement function and the linearization is studied.With the Extended Kalman Filter,the pose is tracked and estimated.

研究用四元数表示物体的姿态，在四元数基本运算法则基础上提出并证明了"基于四元数的多个旋转运动合成规则"，然后将此规则为依据，推导出一种用来计算姿态非线性状态方程系数的方法，对非线性状态转移函数进行线性化，并且研究了测量方程函数的确定及线性化，借助扩展Kalman滤波实现了对姿态的跟踪。

We designed a multi-channel detector that enables recording of sample profiles as a function of time and as a function of longitudinal position.

我们设计了一个多通道的侦测器，可以记录样品在毛细管中和时间相关的样品分布函数，和以空间相关的样品分布函数。

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。