牛顿性

We have studied a model of a non-Newtonian viscous compressible fluid in 3D bounded domains, in which the viscous part of the stress tensor satisfies the coerciveness condition and the values of the growth condition ., are positive constants. Here is the tensor of the velocity gradient, is the strain tensor and ,which depends on the tensor of the velocity gradient, is the hefts of .

对满足强制性条件，以及增长性条件的非牛顿粘性可压缩流体在三维有界区域中的流动进行了研究，其中和为正常数，为速度梯度张量，是偏应力张量，为的分量，它依赖于速度梯度张量。

By means of deriving the approximate solution and a process of approaching iteration, we have shown that a general solution exists for a non-Newtonian compressible fluid in 3D bounded domains. The proof is based on an elementary energy method.

文章利用构造近似解和极限的过程证明了三维有界区域中非牛顿可压缩流体广义解的存在性，所用的证明方法为能量方法。

In terms of the minimum question of a positive definite quadratic function,a set of Newton directions in minimum points derived with an accurate single dimensional search are used to produce a set of conjugate direction ,and a proof of convergence is presented.

对正定二次函数极小问题，利用精确一维搜索所得极小点处的牛顿方向来生成一组共轭方向，并给出收敛性证明

We use the method of golden section and Newton iteration to solve the nonlinear constrained minimization problem.

最后用黄金分割和牛顿迭代方法解决非线性约束优化极值问题，得到满足几乎完全重构和小波正则性条件的低通原型滤波器。

The paper states the distinctions between Riemann integral and Lebesgue integral from the aspects of the definition of integral,the continuity of integrable function,the additivity of integral,integral limitation theorems and Newton-Leibnitz formula.

从积分的定义，可积函数的连续性，积分的可加性，积分极限定理，牛顿-莱布尼兹公式五个方面阐述了黎曼积分与勒贝格积分的区别。

This paper applies a convex combination non-monotone Wolfe line-search proposed recently to the convergence analysis of Broyden's family quasi-Newton method.

将一类新提出的凸组合非单调Wolfe线搜索应用到修正Broyden拟牛顿法收敛性分析里。

The convergence of the traditional nonlinear equations is related to the selected initial value, but the convergence of the fixed point method is not related to it.

传统的非线性有限元方程组的数值求解法（牛顿-拉普森迭代法与共轭梯度法）只能求解单值性有限元方程，且其收敛行为与初始值的选择有关，而不动点方法在求解非线性方程组时的收敛行为不受初始值选择的影响，在大范围内是一致收敛的。

We give a two-parameter penalty function and its exact penalty theorem for inequation constrain- ed optimization,meanwhile,We propose a quasi Newton algorithmfor solving the unconstrained nonlinear penalty problem and study its convergence,Numerical examples illustrate the feasibility of the algorithm.

对于含约束不等式的优化问题，构造双参数精确罚函数并给出精确罚定理，提出了一个求解这种罚函数问题的布鲁丹族拟牛顿算法，研究了算法的收敛性与收敛速度，并进行了数值试验，证明了可行性。

The forth algorithm is the same as the third one with an addition of finite termination criteria. Although the latter two algorithms have only linear rate of convergence, they are especially suitable for large-scale and sparse problems, with features of simple formula, small storage, sparsity preservation and easy implementation.

前者借助NCP函数把互补问题转化为等价的非光滑方程组，再用带参数的光滑方程组近似这些非光滑方程组，最后用牛顿型方法求解所得到的光滑方程组，希望通过光滑参数趋于零得到原来互补问题的解；后者基于等价不动点格式，构造了一个光滑迭代算法和一个具有有限终止性质的算法，虽然这种迭代算法仅有线性收敛速度，但由于其格式简单、存储量小、保稀疏性、非常易于计算机实现等特点，故较适用于求解大规模稀疏问题。

Two series of polyurethane acrylate grafted acrylic resins (Acr-g-TPU-PETA and Acr-gPPU-PETA) self-emulsifying systems are obtained by grafting -NCO group modified polyurethane acrylates with acrylic copolymer prepared from n-butyl acrylate, styrene,βhydroxyethyl methacrylate and acrylic acid The self-emulsifying systems showed Newtonian fluidity with viscosity closed to that of water, the solid contents were around 30% The T〓 of 15～4℃ for dried film before photocuring favored film formation at room temperature DSC and DMA results showed that PU-PETA is compatible with acrylic resin in the grafted resin The TG and dTG curves for Acr-g-PU-PETA samples were substantially different from the corresponding blends, and the brodened dTG peaks for photocured grafted resin suggest that there might be multiple interactions among chain segments The photocued film of the grafted resins self-emulsifying system exhibited good overall properties with polyurethane acrylate grafts ranging from 30% to 50%, and Acr-g-TPU-PETA series showed better properties than Acr-gPPU-PETA series The adhesion of the photocured film was 1～2 grade, impact strength was 50kg-cm and flexibility was 1mm The Shore hardness and the adhesion of the film decreased markedly if PETA was replaced by HEMA as photoactive group due to the lower C=C double bond content in the grafted resin The polyhydroxy amine-linked thioxanthones photoinitiators can be evenly dispersed in self-emulsifying system without color spot appearing in the dried film The films photocured with IV〓～IV〓 generally exhibited higher Shore hardness, gloss and solventresistance than that cured with Irgacure 2959 and did not induce the rusting of the iron substrate Pigmenting with titanium oxide had no effect on the photocuring The polyhydroxy amine-linked thioxanthone IV〓 and IV〓 can be new candidates for the formulation of titanium oxide pigmented photocurable water-borne coatings for their pale-yellow appearance and slight interference with the color of the coatings WB 4759 with high water-solubility coalesced and separated from the dried resin film, and even induced the rusting of iron substrate.

以丙烯酸丁酯，甲基丙烯酸-β-羟乙酯，丙烯酸及苯乙烯合成厂丙烯酸共聚树脂，并与含-NCO端基的聚氨酯丙烯酸酯接枝反应，经水性化后，得到两个系列（Acr-g-TPU-PETA和Acr-g-PPU-PETA）各5个不同配比的丙烯酸树脂接枝聚氨酯丙烯酸酯自乳化体系，粘度与水相近，为牛顿流体，固含量30％左右。光固化前干燥涂膜的玻璃化转变温度在-15℃～4℃之间，有利于室温下成膜。DSC及DMA谱表明两种树脂基本相容。Acr-g-PU-PETA的热失重行为明显不同于共混材料，接枝样dTG峰明显宽化，表明接枝样中链段之间的相互作刚有多重性，丙烯酸树脂与聚氨酯之间有一定的相容性。接枝树脂自乳化体系光固化涂层的综合性能以聚氨酯丙烯酸酯成分为50％～30％者相对较好，且以Acr-g-TPU-PETA系列更理想。光固化膜的附着力为1～2级，冲击强度为50kg·cm，柔软性多为1mm。以HEMA代替PETA作为接枝树脂的活性基团，碳—碳双键密度太低，光固化膜交联点太少，硬度和附着力均较差。多羟基胺连硫杂蒽酮光引发剂能均匀分散于树脂自乳化体系和接枝树脂干膜中，不出现色斑，光固化膜肖氏硬度一般高于以Irgacure 2959为光引发剂的光固化膜，光泽度及耐丁酮溶剂性能均有所提高，不会诱导铁基生锈，钛白着色对光固化结果几乎没有影响。本论文所合成的多羟基胺连硫杂蒽酮光引发剂IV〓与IV〓为浅黄色，对光固化涂层的颜色干扰较小，为配制钛白着色光固化水性涂料提供了新的光引发剂。水溶性太强的WB 4759在干膜中易聚结析出，且对所附着的铁基有诱导锈蚀作用。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。