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We find the exact Green's functions of the Anderson s-d mixing model formagnetic multilayers with arbitrary spin canting angle and arbitrary s-d mixingstrength between two FM layers within the framework of the mean-field theory of theon-site Coulomb repulsion.

在对格点库仑排斥互作用作平均场近似的理论框架内,我们给出了层间系统中Anderson s-d混合模型的严格格林函数。这一格林函数适用于任意的s-d混合作用强度以及两铁磁层的磁化方向间的任意夹角。

With i being the greatest lower bound on the number of latter points in the interior of any TLP with exactly v vertices, i(5)=i(6)=1,i(7)=i(8)=4 , it is proved that i increases without bound as ...

证明了随着TLP顶点数的增加,内格点数无限增加。并得出在允许旋转 180°条件下,有任意内格点数的三角形TLP,任意格点四边形都是TLP。

In chapter two, the lattice Green's function is introduced, especially recursive Green's function method.

在第二章中,我们介绍了格点格林函数方法,特别是递归格林函数方法。

The polarization field E(?=3.2×108 volts/cm, E1∩=3.3×108 volts/cm at a Cl- lattice point, and the polarization energy Up(?=-102K α-TiCl3 sandwich-type layer crystal have been calculated, based upon an ionic model.

本文根据离子晶体模型,计算了α-TiCl_3层状晶体内氯离子格点上的极化电场强度E_⊥=13.2×10~8伏/厘米,E_(11=3.3×10~8伏/厘米,以及晶体的极化能U_(p⊥=-102千卡/克分子,U_(p11)=-167千卡/克分子和晶格能(U=-1206千卡/克分子)。

The biaxial molecules interact via dispersion forces and the molecular centres of mass are located at the sites of a simple cubic lattice.

双轴分子通过色散力作用,使分子质心固定在简单立方晶格的格点上。

In our study of data compression, an entire research is given to the problem of the index of lattice points in pyramidal lattice vector quantization ,and index algorithms are presented to index the Iattce points of some usually-used lattices,such as ZL, DL, E8 and A16so on.

我们在数据压缩课题研究中,对塔式网格矢量量化中格点的标号进行了探索,给出了常用的几种网络诸如ZL、DL、E8、A16等格点的标号算法。

As a application of this theory, we discussed the interpolation problems in which the nodes are ununiform rectanglar grids in real space. We gave the lowest interpolation bases of nodes in rectanglar and sidestep-shaped area. Another application is for finite elements theory. We mainly discussed finite elements of Hermite-Birkhoff type interpolation and gave a new algorithms for a interpolation bases.

作为上述理论的具体应用,我们一方面讨论了插值节点为实空间上的非均匀矩形格点的插值问题,主要给出了矩形区域和阶梯形区域中格点上插值问题的按序最低的插值基的一般公式,另一方面我们研究了多元插值在有限元中的应用,主要是针对Hermite-Birkhoff型插值的有限元给出了计算插值基函数的算法。

The theoreti cal results show that in Al-rich region of the ordered TiAl alloy,the surplus a toms of Al which occupy the lattices of Ti will decrease the energy of the syste m,in favour of the stability of γ-TiAl phase,while in the Ti-rich region, the surplus atoms of Ti which occupy the lattic of Al will increase the energy o f the system,which disfavors the stability of γ-TiAl phase,and favors the formation of new phase.

理论结果表明有序的γ-TiAl相在富 Al区,多余的Al原子占据Ti的格点后,系统能量降低,有利于γ-TiAl相的稳定性,而在富Ti区,多余的Ti原子占据Al的格点后,将使所有的Ti原子的能量增大,使系统能量升高,不利于γ-TiAl相的稳定性,而有利于新相的形成。

For many years, the Lattice QCD's researchers were working hard try to solve the difficulties in the theory, e.g. the doubling of fermion and the breaking of chiral symmetry.

近年来,格点QCD研究人员一直致力于解决格点QCD存在的困难:费米子加倍效应与手征对称性破缺。

Meanwhile, with the increasing of on-site potential, the heat conductivity of systems decreases.

同时,格点势越大,同样大小的体系对应的热导率越小,当格点势足够大时,热导率会趋近零。

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