在Loop代数 _3框架内获得可积耦合的一类方法

本文首先构造了Loop代数A3的一个特殊子代数G,使和其二个子代数G1,G2满足关系G=G1(?)G2。利用G1构造一个等谱问题;再利用屠格式得到一个具有双Hamilton结构的新的孤子方程族。其次,利用G1的基元的线性组合,得到了一个另一类Loop代数G1,由此再利用屠格式获得第二类新的可积系。最后,由可积耦合理论,得到第一个孤子族的可积耦合系统。类似地,构造了Loop代数A3的子代数G1的一个扩展Loop代数G,获得第二孤子族的可积耦合。     

一族Liouville可积系及其双约束流的Hamilton系统

构造了Loop代数 A2的一个子代数,由此建立了一个3×3等谱问题,由屠规彰格式得到了一族Liouville意义下的可积Hamilton方程族。通过建立双对称约束,得到了该方程族的两组约束流,并将其化为广义Hamilton系统。     

一个新的李代数,新的非线性可积耦合及其哈密顿结构(英文)

通过引入一个新的显式李代数得到了一个孤子族的非线性可积耦合,利用相应圈代数上的变分恒等式给出了非线性可积耦合的哈密尔顿结构.本文所给的方法也可以应用于其它孤子族的非线性可积耦合.     

一个新6分量超NLS-MKdV族的超Hamilton结构和守恒律（英文）

在孤子理论中,如何构造新的超孤子族是个重要的问题.基于矩阵李超代数,我们借助于零曲率方程构造了一个新的六分量超NLS-MKd V族,并给出了超可积方程不同的约化.利用超迹恒等式,我们得到了非线性超可积方程族的超Hamilton结构.最后,通过引入两个变量,我们建立了六分量超可积NLS-MKd V族的无穷守恒律.特别地,费米变量在超可积系统计算过程中起了重要作用.     

新(2+1)-维超动力系统的生成（英文）

本文利用二项式残数表示方法生成(2+1)-维超动力系统,利用这些系统得到一个新的(2+1)-维超NLS-MKd V族,它能约化为超非线性Schr?dinger方程.特别地得到两个具有重要物理应用的结果,一个是(2+1)-维超可积耦合方程,另一个是(2+1)-维扩散方程.最后,利用超迹恒等式给出了新(2+1)-维超可积系统的超Hamilton结构.     

分数阶超Broer-Kaup-Kupershmidt族及其非线性可积耦合

基于超代数上的分数阶超迹恒等式,我们得到了分数阶超Broer-Kaup-Kupershmidt族及其超Hamilton结构,并且给出了分数阶超Broer-Kaup-Kupershmidt族的非线性可积耦合.本文的方法还可以应用于其它的分数阶超孤子族.     

分数阶超Broer-Kaup-Kupershmidt族及其非线性可积耦合（英文）

基于超代数上的分数阶超迹恒等式,我们得到了分数阶超Broer-Kaup-Kupershmidt族及其超Hamilton结构,并且给出了分数阶超Broer-Kaup-Kupershmidt族的非线性可积耦合.本文的方法还可以应用于其它的分数阶超孤子族.     

WKI方程族的扩展可积系统

通过构造特殊的等谱矩阵U和V以及构造的一个维数为5的loop代数,得到了WKI方程族的可积耦合系统,即WKI的一类扩展可积系统。我们所选取的V中既含有位势函数,又含有a,b或c关于x的偏导数项,所构造出来的扩展可积系统与已有结果不同。     

一类广义NLS-MKdV方程族及其双哈密顿结构北大核心CSCD

从矩阵谱问题出发,讨论了一类广义NLS-MKdV方程族和双哈密顿结构。首先,基于Loop Lie代数sl (2, R)构造了的广义NLS-MKdV方程族。其次,利用迹恒等式(变分恒等式)得到了广义NLS-MKdV方程的双Hamilton结构表示形式。再者,构造了带自相容源的广义NLS-MKdV方程族。最后,借助Riccati方程研究了广义NLSMKdV方程族的守恒律。     

可积耦合 AKNS 方程的达布变换及其精确显式解

由于许多物理现象需要建立有两个或多个分量的波动模型用以说明不同的模式、频率和极化现象。此外，只有多分量系统才能从理论和实践上解释一些多个物理场能量的交换。因此，给定一个可积系统，我们如何构造一个非平凡的微分方程系统，使它是可积的并且包含原系统为一个子系统，是可积耦合研究的重要问题之一。利用一个稳定方程推导可积耦合 AKNS 方程，然后给出一次达布变换，其中的元素可以用两个行列式的商来表示。通过比较一次达布变换的形式和特点，推导出用行列式表示的 $N$ 次达布变换公式。进而利用种子解，通过 $N$ 次达布变换进行迭代，可以得到任意阶孤子解。作为达布变换的应用，我们求出了精确显式单孤子解。     

A Development of A Computer aided Ferrographic System

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A Noise-Tolerant Hybrid Model of A Global and A Local Learning Module

Proposed is GLLL2, a hybrid architecture of a global and a local learning module, which learns default and exceptional knowledge respectively from noisy examples. The global learning module, which is a feedforward neural network, captures global trends gradually, while the local learning module stores local exceptions quickly. The latter module distinguishes noise from exceptions, and learns only exceptions, which makes GLLL2 noise-tolerant. The results of experiments show the process in which training examples are formed into default and exceptional knowledge, and demonstrate that the predictive accuracy, the space efficiency, and the training efficiency of GLLL2 is higher than those of each individual module.

     

新型表面可修饰性有机硅密封材料的制备及应用

制备了一种单组分室温硫化表面可修饰性有机硅密封材料。在通用的酮肟型有机硅密封材料组分中,添加自制的含有氰基、仲胺基的硅烷改性剂,可明显改善油溶性醇酸漆和聚氨酯漆对有机硅密封材料的可涂覆性及储存稳定性。添加甲基丙烯酰丙基三甲氧基硅烷,同时在水溶性丙烯酸乳胶漆中添加适量的硅丙乳胶,可显著改善水性丙烯酸乳胶漆对有机硅密封材料的表面可修饰性。表面可修饰性有机硅密封材料可用作普通有机硅密封胶的底涂。     

Allocating A Replenishment Order Among A Family of Items

Inventory control models which provide coordinated control (or joint replenishment) of families of items are very useful in practice. An important component of these models is the algorithm for allocating a total reorder quantity among the items in the family. In this paper the allocation algorithm from a new class of coordinated control models is discussed. Inventory position is modelled as a diffusion process, and both continuous review and periodic review situations are considered. This new class of coordinated control models has been shown to outperform existing models (IBM's IMPACT Inventory Control Package).     

D／A转换器的模型化测试策略

本文提出了模型化测量D/A转换器非线性误差的方法,讨论了建模技术和选择优化试验点的方法。利用这些工具,可以从一组充分、必要的测量数据,准确估计出在所有码态时转换器的非线性误差、位误差和重叠误差。     

Oscillating Cup Viscosity Measurements of Aluminum Alloys: A201, A319 and A356

An oscillating cup viscometer was developed to measure the absolute viscosities of molten metals. Previous experiments established the capability of the apparatus to characterize the viscosities of molten nickel-based superalloys. However, modifications to the instrument and its theoretical analysis were required for reliable measurements on molten aluminum alloys, presumably due to their lower densities and lower viscosities. The theoretical literature for the fluid flow inside an oscillating cup is reviewed, and a working equation without any correction factor is developed for the improved viscometer. Some design parameters of the viscometer that directly affect the accuracy of viscosity estimation by using the working equation are discussed. A special vertical furnace was adopted to uniformly heat a longer cylindrical sample (10 mm inner diameter and 120 mm length) with a temperature difference of less than 2°C over the sample length. The measuring procedure was also improved to get more accurate motion parameters. It is estimated that the working equation and improved instrument provide an uncertainty of less than 4%. In addition, applications and experimental data are presented for pure aluminum and three aluminum alloys: A201, A319, and A356.     

A model of flocculation

The phenomenon of flocculation in liquid suspensions has a variety of applications, including mineral processing, treatment of industrial effluents, and municipal sewage sludge purification. Obtaining metals from ores would not be possible without the slurry processing route. Flocculants play here a double role: limiting environmental contamination and also slowing down depletion of raw materials — including potable, industrial and agricultural water. Development of better flocculants requires improved understanding of the mechanism of their action. We propose a model of flocculation based on the assumption that effective flocculants pervade large volumes of liquids in the suspensions. Since many flocculants are polymers, good flocculants according to the model should have large radii of gyration R_G. We therefore assume a connection between R_G and settling velocities y of particles out of suspension. Four different types of aqueous suspensions are studied, containing in turn silica, coal, Mn ore and Fe ore. A unique relationship is demonstrated between R_G and y for several polymeric flocculants in each type of slurry. For each suspension type the corresponding equation has the form y = aR_G^b, where the two parameters characterize the suspended particles and the liquid medium. While polysaccharides from natural sources are used as flocculants, we show how their cationization enhances the flocculation efficiency in all media we have studied. Large effects are achieved for the flocculating agent concentrations in the range of 6-9 ppm.     

一句话、一个人和一本书影响了我

Q=你应该从大二就开始了兼职设计工作。当初什么样的机会让你和设计有了实践上的接轨？当时的你最希望从实践中获得的东西是什么？后来到底得到了怎样的收获？A——我初次参与设计兼职工作是在大二时的暑假。一个偶然的机会．有朋友介绍我与其他两位同学与几家展览公司进行一些接触。当时是上海会展行业初步呈现规模、开始发展壮大的时期．有些展示公司由于业务繁忙，需要一些勤奋肯干的兼职学生参与设计，于是就有机会开始了最初的实践。后来也逐渐接触了另几家会展公司,参与了更多的展示设计工作，可以说基本上在大学的设计实践绎聆伞部来自干展示展览设计．     

浇注温度和ECAP对铝合金坯料组织的影响

采用近液相线法结合新SIMA法复合工艺制备半固态A356铝合金坯料,研究了浇注温度、等径角挤压(ECAP)和半固态处理温度、时间对坯料组织的影响.结果表明,适当的工艺参数可以制备出球状初生α-Al相晶粒的半固态A356铝合金坯料,其中较合理的工艺参数为:近液相线浇注温度为610℃,半固态保温温度为580℃,半固态保温时...