The boundary coupling effect leads to physical pictures of phonons different from those in infinite lattice. 只能按空间型将声子分类。数字计算表明共价结构性质的加强可导致出现边界耦合软模。
At the same time, with developing of both theory and application of lattice-valued logic based on lattice implication algebras, it is inevitable that the solvability of finite or infinite lattice-valued equations on lattice implication algebra will arise. 同时,随着基于格蕴涵代数的格值逻辑在理论和应用两个方面的进一步发展,它必然也会涉及到论域在格蕴涵代数上的有限或无限格值方程的可解性问题。
The effect resistance between two arbitrary nodes in an infinite square lattice with two binds resistors is calculated using the finite Fourier transformation. 应用有限傅立叶变换,导出两套不同阻值电阻组成的平面正方形无限网络任意两节点间等效电阻的积分表达式。
Cluster-bethe-lattice model for infinite lattice systems 简单晶格的簇&Bethe格模型
The following result has been proved in this paper The set T f of all torsion free radicals of lattice ordered groups is a ∨ infinite distributive complete lattice, the set T p of all principal torsion free radicals is an ideal of the lattice T f 证明了如下结果:格序群的扭自由根式全体构成一个完备格且这个格满足并无限分配律,所有主扭自由根式构成这个格的一个理想
The electrons and the nucleus of the cluster are in the Coulombic field created by the external infinite lattice, and these interactions are included in the Hartree-Fock operator. The method is illustrated by considering the formation of the F center defect in NaF. 团簇中的电子和核都处于周围无限大晶格产生的库仑场中,相应的HartreeFock算符进行了修改。
Uniqueness of the Infinite Open Cluster for High-Density Percolation on Lattice Sierpinski Carpet 高密度情形格点Sierpinski地毯上渗流模型无穷开串的唯一性
The main contributions are as follows: I. Based on wavelet inverse translation, the multiscale models are built on infinite lattice. The infinite lattice is defined as dyadic tree strictly and a scale-to-scale relationship is specified by the shift operator. 论文的主要贡献如下:1.以小波逆变换为基础在无限网格上建立了多尺度模型,网格被严格定义为二叉树形式,用移动算子来表示尺度之间的递推关系。
Infinite dimensional dynamical systems play an very important role in nonlinear science. Lattice systems are a kind of very important infinite dimensional dynamical systems. 无穷维动力系统在非线性科学中占有极为重要的地位.格点系统是一类很重要的无穷维系统。