查询词典 one dimensional

In part one,because there is no long-range order in one-dimensional(1D)system,generalized second-order Green's function theory isused to 1D spin-1 antiferromagnetic spin chain.The Haldane gapin the excitation spectrum appears naturally in the analytical re-sult;When k is zero,there is a gap 2Δ.

第一部分中，在长程序为零的条件下，我们应用推广的二级格林函数理论，讨论了自旋为1的反铁磁一维链，Haldane能隙在解析结果中自然地得出，在k＝0时，能谱中存在一个2Δ能隙，Δ＝0.5J。

One important feature ofHamiltonian systems is that it has energy(its energic function is Hamiltonian func-tion),then,its solutions on 2-dimensional plane are some contour lines,the points onstable manifold emanating from hyperbolic equilibrium point have the same energyas that on unstable manifold,then,one can guess that they form a closed curve,i.e.homoclinic orbits under certain conditions,and the contour lines in the innerpart of homoclinic orbit are periodic orbits.

哈氏系统的一个重要特征是它有能量存在(以Hamiltonian函数作为它的能量)，那么在二维平面上，它的解表现为一些等值线，从双曲平衡点发出的稳定流形和不稳定流形上的点具有相同的能量，那么可以猜测，在一定条件下它们构成一条封闭的曲线，即同宿轨，而且其内部的等值线都是周期轨道。

Vibration frequency modes of quasi-one-dimensional SiO2 clusters with one chain, two chain, three- and four- membered ring structures were calculated according to the density-functional theory.

运用密度泛函理论，计算了4～24个单元的准一维单链、双链、三元环、四元环管状构型SiO2团簇的振动频率。

What is the time, a linear one-way, is really cruel one-dimensional world.

时间是什么，一条单向的直线，是真正残酷的一维世界。

So, research on the preparation and properties of one-dimensional nanomaterials are one of the most exciting areas in materials science.

在众多的制备方法中，氧化铝模板法已成为制备一维纳米材料最为有效的方法之一。

Traditional psychology puts undue emphasison methods of researching, and one-sidedly concerns itself with single cultural background, each of which has its own formation, thus resulting in one dimensional development of psychology.

传统的心理学片面强调研究方法，片面地关注单一的文化背景，各自为阵，造成了心理学的单向度发展。

It realizes the global optimal computation via the local interacting agents with abilities of local perceptivity, competition and cooperation, self-learning etc. Then orthogonal design is introduced to generate an initial population of points that are scattered uniformly over the feasible solution space and to generate a crossover operator. As a result, the resulting algorithm is more robust and statistically sound. For high dimensional functions, a large memory is needed in generating an initial population with orthogonal design. To overcome this problem, a method called subspace partition is proposed, so that the memory is one tenth that of original one.

它以Multi-Agent系统为基础，通过Agent间的相互作用与每个Agent所具有的知识和自学习功能来提高算法的全局优化能力和收敛速度；同时利用正交试验设计方法产生较好的初始种群和设计正交交叉算子以获得更好的后代；针对正交试验设计产生初始化种群在函数维数很高时需很大存贮空间的缺点，提出了子空间分割法来产生所需的初始化种群，它只需要原来存贮空间的十分之一。

After getting 25 sets of data,we figure up the corrugations on the starting position according to the delay formula,and then pile up these corrugations,at last ,after figuring up the capacity value of each lattice point,we change them into the pixel gray value,and portray them in the 3-dimensional space one by one.

得出25组数据之后，分别根据时延计算公式推算出其起始位置的波形，并将这些波形进行叠加，最后在计算出每个网格点的能量数值之后，将之按比例转化为像素灰度值，在三维空间逐个绘出。

As we all know,there is one Simson line at any point on the circumference of triangles,but in this paper, LHP theorem shows that the above conclusion is not correct for any quadrilateral pyramid in three-dimensional space and also during proving LHP theorem,fixed value theorem is proved,at the same time,one guess about the point H and point P on circumscribed sphere of tetrahedron has been concluded.

众所周知，三角形的外接圆周上任一点存在一条 simson 线，而 LHP 定理则指出对于正四面体该结论是不能推广到三维空间上的，并且在论证 LHP 定理的过程中得出了定值定理，同时作为一般四面体的外接球球面上的 H 点、P 点的分布，给出了一个猜想。

At the time of encoding and decoding of data, one unit of data is linked with one color among the plurality of colors to enable high density recording compared with conventional bar codes and two-dimensional codes.

在数据的编码和解码时，一个数据单元和多个颜色中的一个颜色相关联，这使得与传统的条形码和二维码比较，能够取得高密度的记录。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。