弱解

Algorithm application of neural networks.Ⅲ Implementation of neuro-computers. The main contribution of the dissertation can be summarized as follows: 1 Hopf bifurcation of three kind of neural networks are discussed in detail, including type of discrete time delay, type of time delay with weak kernel and strong kernel as well as the proof of existence of bifurcation. Other problems such as asymptotic stability of bifurcation periodic solution, algorithm of determining the bifurcation direction, asymptotic stability and style of periodic solution are also studied. The average time delay is chosen as the bifurcation parameter, phenomena pertinent to system states of the continuous time delay network with strong kernel evolving from stable to oscillating, then back to stable again are observed.

论文的主要创新之处可以归纳如下： 1）针对目前国内外对神经网络的分岔研究较少的情况，论文中详细讨论了带离散时延神经网络、带弱核的连续时延神经网络、带连续分布时延且具有强核的神经网络的Hopf分岔现象，从理论上证明了Hopf分岔的存在性，并研究了分岔周期解的渐近稳定性，得到了确定周期解的渐近稳定性、分岔方向、周期解的渐近形式的算法；用平均时延作为分岔参数，发现带强核的连续时延神经网络中存在着系统的状态由稳定变化到振荡现象，当继续增加平均时延参数时，又从振荡变为稳定这一特殊的动力学现象。

Weak formulation of equilibrium equations including boundary conditions of laminated cylindrical shell are presented, and thermal stresses mixed state equation for axisymmetric problem of closed cantilever cylindrical shell is established.

导出层合柱壳轴对称问题的平衡方程和边界条件的弱形式，提供了方程和边界条件放在一起的算子形式，建立了悬臂柱壳轴对称问题的热应力混合方程，给出了正交异性层合悬臂柱壳在热荷载和机械荷载作用下的弱形式解·本文提出的方法弱化了求解方程和边界条件，化解了问题，具有一般性并便于推

The development process of the finite element method is introduced briefly,and the theoretic fundamentals of the quasi conforming element method is analyzed from generalized equilibrium equations,generalized compatibility equations and its weak continuity condition.

简述有限元的发展过程，从广义平衡方程、广义协调方程和拟协调元弱连续条件等方面分析了拟协调元的理论基础，说明了拟协调元是有限元发展的必然趋势，其做法就是广义协调方程的直接解，自然满足平衡对弱连续条件的要求。

The solitary wave can be generated considering Goring and Raichlen's movement of a paddle. The proposed original linear solution for the solitary wave generation is expressed in the hypergeometric function. Two disadvantages of the original solution with large trailing wave and skewed wave profile are found by comparing with the theory of solitary wave derived from Boussinesq's equation.

本文并以弱非线性的孤立波造波问题做为解析之对象，由於孤立波造波板速度为一超越函数，造成解析上的困难；本文以 hypergeometric 函数推求常微分方程式之全解，并与理论波形解比较后，发现由於未考虑非线性及分散性过强等问题，使得线性暂态解较理论波形拉长与歪斜，可能无法有效描述孤立波造波问题，故针对线性之分散关系做出修正。

The solitary wave can be generated considering Goring and Raichlen's movement of a paddle. The proposed original linear solution for the solitary wave generation is expressed in the hypergeometric function. Two disadvantages of the original solution with large trailing wave and skewed wave profile are found by comparing with the theory of solitary wave derived from Boussinesq's equation. The difference between the original linear solution and the solitary wave theory results from the nonlinearity and dispersion of generated waves in the flume.

本文并以弱非线性的孤立波造波问题做为解析之对象，由於孤立波造波板速度为一超越函数，造成解析上的困难；本文以 hypergeometric 函数推求常微分方程式之全解，并与理论波形解比较后，发现由於未考虑非线性及分散性过强等问题，使得线性暂态解较理论波形拉长与歪斜，可能无法有效描述孤立波造波问题，故针对线性之分散关系做出修正。

The results of calibration of 4He in desorption system show that the correlation coefficient is more than 0.99 and the contribution of memory effect can be ignored. The contribution of ionized atom T(superscript +) for partial pressure of m/e=3 is very little and is determined according to I+≈0.01I(subscript T2)+, so the measurement of 3He can be done without interference of T(superscript +). The relationship between gases release rate and annealing temperature can be obtained after the data are smoothed and differentiated.

研究结果表明：四极质谱计标定解吸系统内4He的分压＜350 Pa时，其相关系数R＞0.99，且记忆效应的贡献极弱；离子态氚T对m/e=3组分分压的贡献可按I+≈0.01I(下标 T2)+确定，不干扰3He的测定；将气体解吸所得的积分数据经平滑并微分处理后可准确得到气体释放速率与退火温度的关系，即热解吸谱。

Based on the speciality of the spectral function, we provide the sufficient conditions such that the spectral function are K—increasing (strictly K—increasing) in Euclidean Jordan algebra, and establish the relationship between the spectral scalar solution set and the K— efficient solution set of the Euclidean Jordan algebra vector optimization problem.

基于谱函数的特殊性，刻画了谱标量函数满足K-增性的充分条件，继而建立了谱标量解集与欧几里德若当代数向量优化问题K-弱有效解集和K-有效解集的包含关系。

H-acid has two sulphonic groups, which can be dissociated in aquatic solutions. At pH 2.5, only one of them dissociated.

H-酸萘环上含有的两个磺酸基团，在水溶液中可以解离一个或者两个。pH2.5条件下，主要有一个磺酸基团解离，此时，H-酸通过一个磺酸基团吸附在TiO2表面，占位小，饱和吸附量大，但吸附键较弱，吸附较可逆。pH5.0条件下，主要有两个磺酸基团解离，此时，H-酸通过两个磺酸基团吸附在TiO2表面，占位大。

Moreover, due to the fine analyses of localization length and the Fourier components, the discrete breathers close to the edge of linear spectrum have some similarities and relevances with linear plane wave solutions of the system.

通过对离散呼吸子解的局域化程度和Fourier分量的细致研究显示出在弱非线性情况下，线性谱附近处离散呼吸子解和线性平面波解的相似性和连续性。

And he also deduces the complete systemic universal theory that the comic's circling movement from the ancient and it graduated layer upon layer and to evolve from the beginning to the end, and grow out of nothing empty to solid; and the universe formula:E = mn1+n2+…nn + mc2 ;and the truth of the gravitation origin; and the extragalactic nebula red shift phenomenon is the result of its galaxy quality structure and the magnitude characteristic attraction, mutually by no means was far away but explodes, and he obtained the universe theory different from the large explosion completely. At the same time it will explain the abstract cultural natural sciences knowledge truth secret something like: Pan-Gu heaven and earth, the River-Chart and the Luo-River-Book, primal chaos and Yi Gua, the profound and abstruse principles of Daoism, the symbolism number of Yi-ology and so on, and it is so broad and profound mystical that it is to be lost many years in Chinese eternity civilization. Then, he establishment the law of myriad things with one method; and deciphered the method that CongzhiZu instantaneously obtained the girth quotient density earlier near millennium than the European at the Han Dynasty, and broke the misunderstanding that all to think he has use shearing the round technique method in the world; and expounded the Pan Gu truth that the world occurs and forms with, broke the thought Pan Gu was the god superstition which the folk spread; and has cleared the-River-Chart and Luo-river-book is the nature objective reflection appearance of the universe transportation principle; and has opened the universe code numeral secret; and explained the scientific truth Fu Xi drawing the ancient divination symbol, furthermore, the writer has drawn all the ancient divination symbol order orientation diagram that had lost the thousands years of the pre-heaven Lian-shan, the midst Gui-cang, the after earth Qian-kun,and the after heaven Zou-Yiology. Through the universe laws and regulations law of from the beginning to the ultimate and myriad things all out of Pangu River-chart Luo river book primal chaos, explained thoroughly the digital code of the universe myriad things' transports and constitution. The digital code only a digital odd and even, but the binary system code deduced the world myriad things' number.

推论出宇宙万物从无到有、由虚化实、由始到终、从一到万、盘旋古衡地层层量级运动演化完备系统的万有理论；推算出了宇宙万有品质及能量公式 E = mn1+n2+…nn +mc2；论述了万有引力、磁力、电流、微观中的强力弱力诸能量的由来，以及宇宙万有物质和三大力等统一为一体的道理；推论出一切物质构成存在皆是能量结晶体，得出&一切物质皆是能量实在&，&物质本身即是能量&的理论；讲明了银河外星系的红移现象是其盘旋圆合成的星系巨大品质结构和量级特性的引力所致，并非相互远离而爆炸，得出了与大爆炸完全不同的理论；同时破解了中国博大精深神秘玄奥的华表准天、八节太极、弇兹九宫、盘古天地、河图洛书、太极易卦、天机道秘、象数彖爻等自然科学知识道理奥秘；释解并创立了万物同准法理论；解密了古代祖冲之早於欧洲近千年，瞬间得出圆周率密率的方法，打破了世界上都认为密率是用割圆术等推算出的误解；阐明了盘古天地发生形成的宇宙自然之道，以及日晷观天历纪二十四节气等等，许多天地万物万事的科学同准方法，揭秘了认为盘古是民间流传的神话迷信；理清了河图洛书是天地垂象万物负图之客观自然规律出现的宇宙物有运化成物的基本道理的数理定律；解开了现代专家教授都迷惑不解的太极易卦天地编码万物数理秘密；释解了伏羲画卦的科学道理，把失传数千年的先天连山易、中天归藏易、后地乾坤形易以及后天周易的遗失卦象次序方位数学矩阵图全都补画出来；通解了宇宙天地万有运化构成的基因数码，只用一这个最简单元始数字，奇偶一二进位地组成编码天地数字推演万物。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。