电报方程

The telegraph equation is first deduced when people studied the changing law between the voltage and current in the telegraph wire.

电报方程最初是在研究电报线上电压电流的变化规律时推导出来的，它表征均匀传输线上电压电流的关系，故该方程也称为传输线方程。

Based on the telegraph equation, the stochastic model for transmission lines isproposed, and the precise integration algorithm is combined with Monte Carlo method toanalyze the transient response of the stochastic model. Jarque-Bera test is made for thenormality of the model\'s output and the worst-case estimation is given.

基于电报方程建立了互连线的随机模型，结合精细积分算法与蒙特卡洛方法分析了该互连线随机模型的瞬态响应，通过对模型输出信号的正态性进行偏度-峰度检验给出了最差情况估计。

In this paper, according toinfinitesimal criterion in symmetry theorem, using differential Wu-method(char-set byMathematica software) and conditions of symmeties of equation u_=Hu_,we givenew potential symmetries for nonlinear telegraph equation u_=F

本文根据对称理论中的无穷小准则，利用微分形式的吴方法(借助于Mathernatica软件编写的求解微分特征列集的程序包)和u_=Hu_型方程对称的存在条件，得到了非线性电报方程u_=F

In the paper,we studied the identification of the parameter of telegraph equation Wtt+ a1Wt+ b1W =c21Wxxwith periodical boundary conditions.

文章研究了一维电报方程 Wtt+a1 Wt+b1 W =c21 Wxx 在周期边界条件下的参数识别问题。

After summarizing the waveform relaxation methods and domain decomposition, we finish some research on optimal Schwarz waveform relaxation algorithm as follows: In the first part, we apply Schwarz waveform relaxation methods on telegraph equation system to get optimal transmission conditions to speed up the algorithm.

在对波形松弛算法以及区域分解进行了综述性介绍后，本文对Schwarz波形松弛迭代算法具体进行了以下研究：首先，本文将在电报方程系统上应用Schwarz波形松弛迭代算法，通过强制加入新的局部传输条件分别给出了两种加速算法并通过定理保证了其优化后的收敛性，进而得到优化Schwarz波形松弛算法，然后通过数值试验对传统Schwarz波形松弛算法与优化Schwarz波形松弛算法进行了比较，研究了收敛率与优化系数的关系，找到了使算法最优的系数取值；最后得出优化后的Schwarz波形松弛算法优于常规Schwarz波形松弛算法的结论。

Several important nonlinear equations of mathematical physics such as φ4 equation, Klein-Gordon equation, the approximate equations of sine-Gordon equation and sinhGordon equation, Landau-Ginzburg-Higgs equation, Duffing equation, nonlinear telegraph equation are the special cases of the nonlinear wave equation presented in this paper.

几个有重要应用的非线性数学物理方程，如矿方程，Klein-Gordon方程，Sine-Gordon方程，及Sinh-Gordon方程的近似，Landau-Ginzburg-Higgs方程，Duffing方程，非线性电报方程等都可作为该方程的特殊情形得到相应的显式精确解，这里方法也可推广到n+1维空间情形。

Considering the spatial correlations of interconnect process variations, we modelprocess variations as continual stochastic processes with correlation. For decoupleing thespatial correlation, we express them as an expanded form of independent random variablesby Karhunen-Loeve expansion. Then we use stochastic Galerkin method to solve thedecoupled telegraph equation in the presence of process variations.

考虑互连线工艺变化的空间相关性，将互连线工艺变化建模为具有相关性的连续随机过程；提出采用Karhunen-Loeve展开将该随机过程表示为一组独立随机变量的展开式，从而进行解耦；对解耦后得到的工艺变化下的电报方程，应用随机迦辽金方法求解。

The design for impedance converting circuit of input current,transistor amplifying circuit and converting circuit of output current is presented.The telegrapher equations are adopted to determine the impedance of transmission-line transformer,which is used to convert circuit impedance between signal source and transistor.

讨论了放大器输入回路阻抗变换电路、晶体管放大电路以及输出回路阻抗变换电路的设计思想，运用电报方程从理论上推导出用于信号源和晶体管之间阻抗变换的传输线变压器输入输出阻抗计算公式，由此设计出模拟信号处理电路中非常重要的AB类高功率放大器。

The equation was known in the 19th century and it grew greatly in importance when it was realized that it led to solutions with the collisional properties of solitons.

本文主要讨论了电报方程和Sine-Gordon方程广义形式的概周期解问题，并得到了其在一定范围内的存在唯一性。

These symmetries can be used to find new exact solutions of nonlinear telegraph equa-tion.

这些对称能用来发现非线性电报方程的新的精确解，从而能促进数学物理领域对该方程的研究。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。