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This paper considers the estimate of the upper bound of second eigenvalue for the differential operator with any order.

考虑了任意阶微分算子第二特征值的上界估计，获得了用第一特征值来估计第二特征值的上界的不等式，其估计系数与区间的度量无关。

Accordingly, we give the estimate for the life span of the solution to fast diffusion equation.

从而得到了与慢扩散方程和半线性方程的结论(来源：1919ABadC论文网www.abclunwen.com)统一的解的生命跨度的估计。

Dimensional analysis is used on basic equations in order to estimate the quantities of different wave effects.

研究的内容主要包括：通过多重尺度展开方法，将波浪的影响参数化，推导出考虑波浪影响的潮流控制方程。

The maximum principles for functions which are defined on solutions of semilinear elliptic equations u+f=0(q=|u|~2)subject to Dirichlet boundary conditions u=0 were studied by using Hopf s maximum principle,the estimate of gradient q was obtained.

运用Hopf 极值原理讨论了一类具有Dirichlet边界条件u=0的半线性椭圆方程Δu+f=0(q=|u|2)的解的某个函数的极值原理，利用该结论获得了解的梯度q的估计。

First, we introduce the concept of polarizable Carnot group and give some new properties of its homogeneous norm. Then we construct a class of non-divergence equations as well as their nontrivial solutions. The failure of corresponding A-B-P type estimate and uniqueness to the Dirichlet problems in space~ follow.

首先引入可极化Carnot群的概念，给出了可极化Carnot群上齐次模的若干性质，然后构造了一类非散度型次椭圆方程及其非平凡解，由此证明此类方程Dirichlet问题的解在函数空间L~中不唯一，进而证明相应的Alexandrov-Bakelman-Pucci型估计不成立。

RESULTSdiabetic rats showed typical symptoms involving elevated serum glucose and weight loss (2)The rats in DM+VaD group reacted slower and made more error numbers in Y-maze than the rats in VaD group did, with a prolonged total reacting time in a whole day.(3)More neurons with serious damages, such as edema, ischemia or pyknosis could be found in DM+VaD group than in VaD group. More disarrangement of cone neurons, obvious glia proliferation, and more neuron apoptosis were found in CA area of hippocampus. CONCLUSIONS (1)2-VO in STZ-induced diabetic rats succeeded in establishing VaD animal models.(2) The cognitive dysfunction induced by VaD rats had been deteriorated by diabetes mellitus.(3)Morphology evidences proved that diabetes mellitus aggravated brain damages induced by VaD.PART II Effect of diabetes mellitus on the cholinergic nervous systemin CA1 area of hippocampus of VaDOBJECTIVE To estimate the role of cholinergic nervous system in hippocampus during the process of cognitive dysfunction aggravated by diabetes mellitus in DM+VaD group. METHODS Observe the changes of ChAT protein by immunohistochemistry stain. Chose three rats randomly from each group at each pointat two week, four week, and eight week, then sepa

经腹腔注射链脲佐菌素诱导慢性实验性糖尿病，1周后永久性结扎双侧颈总动脉(2-VO)制作VaD模型记录术后2周、4周和8周各组大鼠的体重及血糖；应用Y-迷宫检测空间定向学第二军医大学博士论文中…丈摘…要1ia；一色恤~﹁染澎糕行HE染色观察组织病理学孪叱；胶质细胞原纤维酸性蛋白protellZ，Cf冰尸标记观察星形胶质细舱的激活情况、橄声软公点娜育票票众糯黑橄居端粗默孺篇筑价井袱第二部分糖尿病对血管性痴呆大鼠海马c心区胆碱能神经系统的影响探讨海马CAI区胆碱能神经系统在糖尿病加重确D一大鼠认知障碍中所实验动物及分组同第一部分，应用免疫组织化学染色方法现察海马CAI{介狱牛第晕军l袭拔常博粗{论义

The researchers focus on three questions: How companies estimate capital costs, how they choose the discount factor for an investment project and how they judge the risk elements.

研究人员关心的三大问题是：公司如何评估资本成本？如何为投资项目选择贴现率？如何衡量风险因素？

Chapter six presents a two-waves sampling method to estimate a distribution function of a discrete random variable Y.

第六章研究在数据缺失机制形式未知时，通过两步抽样得到了分布函数的相合的估计量，且该估计量是渐近正态的。

These papers are the classic,they use discrete spectrum to estimate the phase difference.

详细说明：这几篇论文都是非常经典的有关离散频谱来估计相位差的。

The last drilling results indicates seismic Spectral-Deconversion imaging technology to research time-space disciplinarian of aggradations unit and foundation of aggradations mode, estimate of discriminability reservoir thickness and prediction of mul-laminated sand-clay.

其预测结果反映出河道空间演化规律，刻画出辫状河道平向宏观展布特征，对研究区井位整体部署、局部调整具有重要指导意义。

I think people in this lifetime in a rebirth.

我觉得人在这一生里其实也在轮回。

He had to tie her hands together.

他不得不把她的双手绑在一起。