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At the same time, this thesis focuses on the theoretical research on the LBGK method and discusses the inner relation between the LBGK and the N-S equations.The relationship among the selection of velocity group , the forms of equilibrium distribution functions,and the macroscopic N-S equations is clearly revealed.LBGK method has many advantages, such as easy dealing with the complex boundary conditions and high amenability to parallel computing.

本文系统地总结了各种LBGK模型，特别是对LBGK模拟二相流和多相流模型进行了认真地研究；同时从新的角度对LBGK进行了理论研究，用全新的方法探讨了LBGK和N-S方程的本质联系，清晰地揭示了速度族的选择、平衡态分布函数的形式和宏观NS方程三者之间的关系。

According to Sarkovskii's theorem, if the continuous self-map f of the closed interval has a 3-periodic orbit, then f must has an n-periodic orbit for any positive integer n But f can not has all n-periodic orbits for some n.

但f不可能有所有类型的n-周期轨。例如：则f仅有两种类型的3-周期轨中的一类。这表明Sarkovskii定理远远没有给出周期轨之间的关系的全部信息。

Rader's algorithm, exploiting the existence of a generator for the multiplicative group modulo prime N, expresses a DFT of prime size n as a cyclic convolution of size N 1, which can then be computed by a pair of ordinary FFTs via the convolution theorem (although Winograd uses other convolution methods).

Rader演算法提出了利用点数为N的DFT进行长度为N-1的回旋摺积来表示原本的DFT，如此就可利用摺积用一对基本的FFT来计算DFT。

Through immunocytochemistry study, we found that the α3 and/or α5 subunits of nicotinic acetylcholine receptor are predominantly expressed in the oxytocinergic neurons. Our finding is quite different from the conclusion of the British scholar Dr. Mason's work in 1980s. We also found in this study that, the α3 and/or α5 subunits of N-AChR can also be expressed on the axons of oxytocinergic neurons, and these immunoreactive axons could be seen projecting to the median eminence and further to the posterior end of neurohypophysis. In the hypothalamus of the 7-day postnatal pup rats, the expression patterns of α3 and/or α5 subunits of N-AChR are similar to that in adult rats.

我们用免疫组化的方法发现，α3和/或α5型烟碱型乙酰胆碱受体(Nicotinic acetylcholine receptor，N-AChR)亚单位在大鼠下丘脑OT能神经元中呈优势性的表达，这与上世纪八十年代英国学者Mason类似工作的结论不一致；而且我们还发现α3和/或α5型N-AChR亚单位还表达在OT能神经元的轴突，此阳性免疫反应的轴突一直延续到正中隆起和神经垂体的末端；在新生7天大鼠的下丘脑，α3和/或α5型N-AChR亚单位的分布类似成年鼠。

In this paper, we give explicit constructions and formulations for harmonic maps from R1,1 into classical real semisimple Lie groups by using Darboux transformation. We also discuss pluriharmonic maps from complex manifoldsinto symmetric spaces and Willmore surfaces in Sn. By converting geometric conditions satisfied by these maps into integrable systems, and using the the-ory of integrable systems, we give explicit constructions for pluriharmonic maps from complex manifolds into symmetric spaces and the Willmore surfaces in Sn respectively. Finally, we classify hypersurfaces in Sn+1 with three distinct prin-ciple curvatures and zero Mobius form using the theory of Mobius geometry. The paper consists of four chapters.

本文首先利用Darboux变换的方法给出了从Lorentz平面R~(1，1)到经典实半单Lie群的调和映照的具体构造，并给出其显式表示；其次研究了复流形到对称空间的多重调和映照及球空间S~n中Willmore曲面，将这些映照所满足的几何条件转化为可积系统，然后利用可积系统理论分别给出复流形到对称空间的多重调和映照与S~n中Willmore曲面的构造；最后利用Mōbius几何的理论给出S~(n+1)中具有三个不同主曲率且Mōbius形式为零的超曲面的分类。

Let R be a set of primitive symmetric di graph s of order n with exact d vertices having ring.

设R表示由全体恰含d个环点的n（n≥3）阶本原无向图所构成的集合，F为 R中图的第 k重上广义本原指数的最大值，1≤d≤n，2≤k≤n－1。

Methods The rat's models of the SAP was established with 5% sodium taurocholate injected retrogradely into the biliary-pancreatic duct. Eighty SD rats were randomly divided into 4 groups (n=20 in each group), including sham group, SAP group, treatment group Ⅰ and treatment group Ⅱ.

采用逆行性胰胆管注射5%牛磺胆酸钠制备SAP模型。80只SD大鼠随机分为假手术组(n=20)、SAP组(n=20)、治疗Ⅰ组(乌司他定治疗组，n=20)、治疗Ⅱ组(TNF-α抑制剂联合乌司他定治疗组，n=20)。

When N=6, the electron transfer was similar to the case of N = 4, but inner layer electronic local was weakened so that parts of electrons in S layer was excited into P electrons, increasing axial electron mobility, meanwhile more performances of sp2 hybrid orbital formation were completed.

在N=6的图中，电子转移情况类似N=4的情况，但内层电子局域性有所减弱，导致部分s电子被激发成p电子，增大轴向电子流动性，同时可表现更多的sp2杂化轨道的形成。

The latedischarges decreased from 9.29 ± 0.97 to 6.71 ± 0.68 with the A-fiberconditioning stimulus increasing from 1 to 5 (n〓8, P〓0. 05).(7) The intervalbetween the conditioning stimulus and test stimulus (C-T interval) wasincreasing, the inhibition tended to plateau off. At shorter time intervalsthe inhibition became more effective. When C-T interval was limited in 50ms,the inhibitory effects was the strongest, here, the late discharges reducedfrom 12.57±1.21to 2.29±0.42 (n=11, P＜0. 01).(8) Behavior research showedthat the rat model of snake venom exhibited neuropathic pain with heathyperalgesia, cold and mechanical allodynia, which corresponding to the acuteelectrophysiological findings.

此时轻刷WDR神经元的感受野不能引起其活动改变，但伤害性齿镊夹捏仍可引起WDR神经元放电增多；〓5〓晚成分放电的潜伏期缩短，即宁静期的时程变短，由给蛇毒前的118.83〓3.67ms降至50.72〓1.36ms〓n〓32，P〓0.01〓；〓6〓在正常动物，如果预先给予只激活A纤维的弱条件电刺激〓mA，100μs〓可抑制随后的伤害性检验刺激所诱发的WDR神经元的晚成分放电，当条件刺激个数从1增加至5时，每次伤害性检验刺激所诱发的晚成分放电数从9.29〓0.97个降至6.71〓0.68个〓n〓8，P〓0.05〓；〓7〓固定条件刺激数为1个，当条件刺激与检验刺激之间的间隔增大时，A纤维条件刺激对WDR神经元晚成分放电的抑制作用逐渐减弱，当条件刺激与检验刺激之间的间隔在50 ms以内时，抑制效应最为显著，此时，晚成分放电数由正常时的12.57〓1.21个降至2.29〓0.42个〓n〓11，P〓0.01〓；〓8〓与急性研究中的WDR神经元电活动的变化结果相匹配，利用蛇毒制备的大鼠模型在行为学上表现为热痛觉过敏、冷觉的痛性感觉异常及机械痛觉过敏等慢性痛症状。

The following are main contents studied: A finite element method for Navier-Stokes equation with ALE formulation is considered and by combined with theNewmark method of numerical intergration a pressure correction scheme is obtained for the solution of the FE formulation of N-S equation. Because the incompressibility condition can be satisfied approximately in this scheme, the interpolation functions of elements can be equalorder for the velocity field and pressure field. In the ALE formulation the fluid-solid interaction analysis became a three-field coupling problem of the fluid field, the solid field and the fluid dynamic mesh. The properties and charactiristices of this three-field coupling problem are deeply discussed.

研究的主要内容有：主容器中流体大晃动是一种强非线性问题，文中研究了求解ALE描述的粘性流体N-S方程的有限元方法，以有利于大晃动自由液面的跟踪和流体大晃动中非线性现象的描述；并结合Newmark数值积分法推出了求解ALE型N-S方程的压力修正解法，由于这种解法可以近似满足不可压条件，因此可以采用速度场和压力场等阶插值的有限元离散格式，从而较好地解决了普遍采用的不等阶插值解法中，速度场和压力场数值精度不一致、程序编制不便等的不足。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。