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Chapter 1 reviews recent investigation in Bose-Einstein condensation, and analyzes critical point and condition of phase transition. Chapter 2 introduces the experiment of Mott insulator and superfluid phase transition in dilute atomic gases, theoretic mode and some studying. In chapter 3, we study the influence of dipole-dipole interaction of two component BEC in optical lattice, by Green function technique and mean-field approach. The results show that long range interaction and dipole-dipole interaction can be strongly influence the phase transition of two component.

本文内容分为四章,第一章对BEC近几年的研究回顾,分析了理想情况下凝聚的临界行为和凝聚条件;第二章我们介绍了光格子中绝缘-超流相变和理论模型及其描述;第三章我们利用格林函数和平均场近似的方法,对偶极-偶极相互作用在光格子中两分量BEC原子的超流-绝缘相变的作用进行了分析,结果表明偶极-偶极相互作用和长程相互作用对绝缘-超流相变有很大的影响。

The application of the lattice Boltzmann method in unsteady open channel flows was studied in detail in the paper. An existing lattice BGK model was mended; For the problem of negative local equilibrium and evolutionary distribution, we proposed a lattice Boltzmann model based on cell-population equilibrium, which is a direct non-negative approximation to the continuous Maxwell distribution. The model reduces the transport and collision, two basic evolution steps in the LB model, to transport of the non-equilibrium distribution.

本文系统的研究了格子Boltzmann 方法在明渠非恒定流中的应用问题,改进了一个现有的LB 模型,数值实验表明此改进是有效的;在平衡态分布函数及分布函数的非负性问题上,作者提出了一个基于单元均衡的格子Boltzmann 模型,通过直接对Maxwell 分布函数的离散化实现对速度分布函数的非负离散,这种方法将传统模型演化过程中的碰撞和输运两个步骤直接表现为粒子的输运。

If you see every goods shelves carefully, can special feel puzzled -- although one discharges goods shelves to be put trimly,be in the warehouse with old Nuo, but the thing in grid of every goods shelves piles up desultorily together however, a few dishes of CD are mixed likely a few pairs of a toy, pillowcases are put together, and a mobile phone mixes a few to protect skin oil to be put in a grid likely.

如果你仔细看看每个货架,会非常纳闷——尽管一排排货架整齐地摆放在诺大的仓库里,但是每个货架格子里的东西却杂乱无章地堆放在一起,几盘CD有可能和一个玩具、几副枕套放在一起,而一部手机有可能和几盒护肤油放在一个格子里。

The whole process is discontinous and can be thought of as finding the grid points on a specified region of the X-Y plane (Think of marking all integer interception points on a paper). Convert each grid point's X and Y coordinate to exponential values (like 2^x, 2^y) then we can use them as value of cost and gamme for cross validation.

这个过程是不连续的成长,所以可以想成我们在一个 X-Y 平面上指定的范围内找一群格子点(grid,如果你不太明白,想成方格纸或我们把平面上所有整数交点都打个点,就是那样),每个格子点的 X 跟 Y 经过换算(如 2^x, 2^y)就拿去当 cost 跟 gamma 的值来 cross validation。

The whole process is discontinous and can be imagined as finding grid points on a specified region of X-Y plane (Think of marking all interger interception points on a paper). Convert each grid point's X and Y coordinate to expontntial values (like 2^x, 2^y) then we can use them as value of cost and gamme for cross validation.

这个过程是不连续的成长,所以可以想成我们在一个 X-Y 平面上指定的范围内找一群格子点(grid,如果你不太明白,想成方格纸或我们把平面上所有整数交点都打个点,就是那样),每个格子点的 X 跟 Y 经过换算(如 2^x, 2^y)就拿去当 cost 跟 gamma 的值来 cross validation。

Along an infinite invisible tightrope taut from zenith to nadir the End of the World, a twoheaded octopus in gillie's kilts, busby and tartan filibegs, whirls through the murk, head over heels, in the form of the Three Legs of Man.

世界末日"——身穿苏格兰高地游猎侍从的百褶格子呢短裙和格子花呢服、头戴熊皮鸟缨高顶帽的双头章鱼,以"人的三条腿的姿势头朝下顺着此绳在黑暗中旋转着。

The shelves of gift shops in every tourist attraction from John O' Groats to Jedburgh are stuffed full of dreadful tartan tat such as 'See-you-Jimmy' wigs and bonnets, Loch Ness monster replicas and those scary-looking tartan dolls with flickering eyelashes.

从John O' Groats 到Jedburgh,每个旅游胜地的纪念品货架上,都能看到许多不尽人意的格子粗麻布制品,诸如'See-you-Jimmy'的假发和无边女帽,尼斯湖水怪复制品及那些长相恐怖,还会眨动睫毛的格子布玩偶。

A sofa upholstered in prune plush had been translocated from opposite the door to the ingleside near the compactly furled Union Jack (an alteration which he had frequently intended to execute): the blue and white checker inlaid majolicatopped table had been placed opposite the door in the place vacated by the prune plush sofa: the walnut sideboard (a projecting angle of which had momentarily arrested his ingress) had been moved from its position beside the door to a more advantageous but more perilous position in front of the door: two chairs had been moved from right and left of the ingleside to the position originally occupied by the blue and white checker inlaid majolicatopped table.

412一把深紫红色长毛绒面沙发从门对面被搬到炉边那面卷得紧紧的英国国旗近旁(这是他曾多次打算要做的变动)。那张嵌有篮白棋盘格子花纹的马略尔卡瓷面桌子,被安放在深紫红色长毛绒面沙发腾出后的空处。胡桃木餐具柜(是它那凸出来的犄角一时挡住了他往里走着的脚步)从门旁的位置被挪到更便当却更危险、正对着门的位置去了。两把椅子从壁炉左右两侧被搬到嵌有蓝白棋盘格子花纹的马略尔卡瓷面桌子原先所占的位置去。

This paper improves the design of lattice gas wave model, points out and corrects the mistakes in PLS model. The realization of wave field simulation for complex geological model by lattice solid automata makes the numerical appproach practicable.

与以往的工作相比较,本文发展了现有的格子气波动建模研究,实现了用格子气自动机对实际复杂地质模型中波场的数值模拟,使这种基于离散化波场描述的波场模拟方法实用化。

The results show that the change of modulation period and modulation depth affect the period of soliton interaction and the difference of relative amplitude barely affects period of soliton interaction. In particular the lattice soliton interaction is effectively avoided by opposite phase soliton.

结果表明:调制周期和调制深度的变化影响了格子孤子相互作用的周期大小,而相对振幅的差异对孤子相互作用的周期影响较小,特别是反相孤子能够有效控制格子孤子的相互作用。

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