A (1+1)-dimensional lattice U(1) gauge model is solved exactly and the result shows that this model has correct continuum limit.
本文准确求解了一个1+1维格点U（1）规范模型。结果显示格点规范模型具有正确的连续极限。
The transfer matrix method is generalized to analyse the dynamic behavior of one-dimensional lattice structures of any complexity.
本文将传递矩阵法推广应用于分析一维格子结构的波传播和动力响应特性。
This paper gives and analyses a general expression of the dispersion relation of one-dimensional lattice waves in simple harmonic approximation.
给出了在简谐近似下，一维格波色散关系的一般表达式，并对其结果进行了分析。
In concrete terms, our solution involved building three-dimensional lattice screens resembling parts of a jungle gym that function as architectural pieces of furniture.
具体而言，我们的解决方案包含建筑三维网格屏幕，类似于攀登架的部分，功能是作为家具的建筑品。
The exact solutions of a set of non-linear differential equations with limiting conditions describing the anharmonic vibration of a one-dimensional lattice have been obtained.
本文列出了一维点阵非谐振动的非线性微分方程组，并求出了这组方程在相应边值条件下的解析解。
First produced in a lab back in 2004, graphene is essentially a single layer of pure carbon atoms bonded together in a honeycomb lattice so thin it's actually considered two-dimensional.
石墨烯最早在2004年诞生于一个实验室，本质上是一层由纯碳原子组成的蜂窝状晶格层，薄到竟被认为是二维物质。
Physicists often work with finite "lattice" models—generalizations of two-dimensional checkerboards—as approximations to continuous reality.
物理学家的研究经常要使用有限格模型——二维棋盘的扩展——作为对连续实在的逼近。
For those keen to know more: the computations involve "envisioning space and time as part of a four-dimensional crystal lattice, with discrete points spaced along columns and rows.
一点额外的话给那些想要知道更多的人：这个计算包括 “想象一下，时间和空间将成为水晶方格似的四维空间的一部分，不连续的点在空间纵横其间。”
The equation of lattice vibration of one-dimensional monatomic lattice and the equation of longitudinal vibration of a uniform bar are discussed.
一维单原子链晶格振动与均匀杆自由纵振动的运动方程在数学上存在内在的联系。
Using square lattice model and an enumeration calculation method, the thermodynamic properties of two-dimensional proteins is investigated.
采用二维正方形格点模型，用完全计算法研究了蛋白质分子的热力学性质。
In chapter two we analytically study the nonlinear lattice effects for the ground state of electron-phonon interaction one-dimensional molecular crystal system.
第二章用解析方法研究一维分子晶体电子-声子耦合系统基态中晶格非线性效应。
Reporters learned that the shop owner issued a two-dimensional code to Ms. Zhang, behind the link is a phishing site, seemingly simple black and white lattice, hidden in a variety of network viruses.
记者采访了解到，网店卖家发给张女士的二维码，背后链接的是一个钓鱼网站，看似简单的黑白格子之中，隐藏的是各种网络病毒。
In this article, the critical exponents of the polymer model SAT in two dimensional square lattice have been studied with the real space renormalization theory.
用实空间中的重整化群理论，对二维正方形格点上的高分子模型自踪迹规避链进行了求解。
The superconvergence of an improved vortex lattice method for a two-dimensional flat plate has been verified theoretically.
本文就二维平板从理论上证明了改进涡格法的超收敛性。
In this paper, the non-linear properties of the nearest neighbor interaction between particles in one-dimensional quantum lattice gas are investigated, giving out the soliton theory of the model.
本文研究一维量子晶格气中粒子最近邻相互作用的非线性性质，给出这一模型的孤子理论。
The lattice model combined with statistical methods is employed to analyze the equivalent macro mechanical properties of three dimensional two phase materials.
采用格形模型和统计方法分析了三维两相材料的宏观等效力学性质。
Lattice systems and nonlinear wave equations are two kinds of very important infinite dimensional dynamical systems.
格点系统与非线性波动方程是两类很重要的无穷维系统。
The picture of the lattice vibration mode for one-dimensional monatomic chain induced by an interstitial impurity is studied mainly.
主要研究了一维单原子链中间隙式杂质引起的晶格振动图像，分析了杂质质量和恢复力系数对振动模的影响。
The physical meaning of reciprocal lattice of two-dimensional crystal and weight of the lattice point are explored.
讨论了二维晶体倒易点阵的物理内容和点阵点的权重。
Photoelectric properties of two - dimensional photonic crystals of square lattice are calculated by finite different time domain (FDTD) method.
用FDTD方法计算了二维情况下正方形复式晶胞光子晶体的光子特性。
There are many one-dimensional (1D) discrete lattice systems in the nature.
自然界中存在大量的一维离散晶格体系；
Then the log-transformed binomial lattice extension for two-dimensional option problems is selected as the numerical computing method and the computing model is set up using MATLAB software programme.
然后选用两变量对数转换的二项式网格方法作为数值求解算法，借助MATLAB软件编程建立起计算模型实现了上述的算法。
In this paper, superconvergence in two-dimensional vortex-lattice methods is presented and studied.
本文提出并研究了二维涡格法的超收敛性。
The properties of a two-dimensional polaron in the polar 'crystal is discussed by means of a model which takes account of the atomicity of the lattice.
该文计及晶格的原子结构，讨论了极化晶体中二维极化子的性质。
Using the method of simulated shell, non-linear dynamic differential equation of three-dimensional single-layer shallow lattice shell with equilateral triangle mesh is established.
用拟壳法建立了正三角形网格的三向扁锥面单层网壳的非线性动力学微分方程。
The photonic properties of a two-dimensional complex photonic crystal (PC) of square lattice were calculated by finite different time domain (FDTD) method.
用FDTD方法计算了二维正方形复式晶胞光子晶体的光子特性。
By using the method simulated shells, the axisymmetrical non-linear dynamic equations of three-dimensional single-layer shallow conical lattice shells with equilateral triangle mesh are founded.
用拟壳法建立了正三角形网格三向扁锥面单层网壳的轴对称非线性动力学基本方程。
By using the method simulated shells, the axisymmetrical non-linear dynamic equations of three-dimensional single-layer shallow conical lattice shells with equilateral triangle mesh are founded.
用拟壳法建立了正三角形网格三向扁锥面单层网壳的轴对称非线性动力学基本方程。
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