查询词典 Maxwell

The finite element equation of 3D3C CSAMT electric field is derived from Maxwell equations using Galerkin method.

首先从麦克斯韦方程出发，用伽里金方法推导了三维三分量CSAMT法的有限元方程。

Through the use of the Gauss theorem and the Ampere loop theorem to solute the Maxwell's equations, the mathematical expression of the PCB ground plane inductance is obtained, and then through the analyze of the current-driven mode radiation, the common-mode voltage expression of current-driven mode is got.

通过对共模辐射的模式化分析，得到电流驱动模式共模辐射的数学表达式。

With the knowledge of linear algebra, general formula for arbitrary order Taylor finite difference has been derived. In this paper, the analysis of spectral property and computational error of arbitrary order TFD is presented in detail. Then it is applied into the numerical solution of Maxwell's equations. Stability condition and numerical dispersion relation are derived.

本文借助于采样定理，详细分析了不同阶Taylor中心差分格式的谱特性以及计算误差，并将任意阶Taylor中心差分格式用于数值求解麦克斯韦方程中，严格导出了稳定性条件和数值色散关系的表达式，引入了新的误差定义来衡量算法的好坏。

Maxwell's equations group in fact was already found in the basic experimental laws of electromagnetic phenomena, as well as a single magnetic pole does not exist on the facts and the integrated displacement current assumptions, using an international system of units, these equations can be written as: DivDW =ρ or DW =ρ(1) kiDivBq = 0 or Bq = 0 (2) kiCurlEBq =- Zt or × EqkZ =- BqZt (3) ZCurlHDWDW = jE Zt, or × HW = jE Zkt (4) Z-type in the Curl, and Div were vector operator curl and divergence, Micro-k points for the Hamiltonian operator, in the rectangular coordinate system,= iZZEkx jEy kqz, iE, jE, kq along Zx, y, z-axis unit vector, a vector for any AW are × AW = CurlAW, kAW = DivAW; DW for the electric displacement, Bq for the magnetic induction intensity, Eq, and HW, respectively i field and electric field strength, jY for the conduction current density,ρ the charge density for free.

麦克斯韦方程组实际上是当时已发现的电磁现象的基本实验定律以及单个磁极不存在的事实和位移电流假设的综合，采用国际单位制，这些方程式可写成：DivDW＝ρ或DW＝ρ（1）kiDivBq＝0或Bq＝0（2）kiCurlEBq＝－Zt或×EqkZ＝－BqZt（3）ZCurlHDWDW＝jE＋Zt或×HW＝jE＋Zkt（4）Z式中Curl和Div分别为矢量算符旋度和散度，为哈密顿微k分算符，在直角坐标系中，＝iZZEkx＋jEy＋kqz，iE，jE，kq是沿Zx、y、z轴的单位矢量，对任一矢量AW有×AW＝CurlAW，kAW＝DivAW；DW为电位移，Bq为磁感应强度，Eq和HW分别为电i场和磁场强度，jY为传导电流密度，ρ为自由电荷密度。

The computing plots of the solutions from the two methods were inconsistent under the specified boundary-initial conditions, which stirred up the debate of the effectiveness of Maxwell's equations in lossy medium. It is found that the differences between the two numerical curves can be viewed as the Gibbs phenomenon caused by cutting off the high frequency components in computing the infinite integral of the numerical curve of Harmuth's solution.

通过比较两种解析解的数值曲线得出：两者的差异在于求解Harmuth解的数值曲线时，采取无穷积分的高频截断近似产生了吉布斯现象；在计算Harmuth解的数值曲线时不断增大积分上限，其数值曲线的振荡不断向不连续点处收缩，而且衰减加快，因此在求解Harmuth解的数值曲线时，若积分区间取为理想无限大，则可以预见相同计算精度下两种方法的电场解的数值曲线是一致的。

In this approach, the introduction of an infinitesimally thin polarization sheet as in macroscopic theory with the Maxwell equations and the boundary conditions is no longer necessary.

更重要的是这些处理和概念同样可以用来回答偏振红外光谱和椭圆偏光光谱中存在的分子理论问题。

Based on the Maxwell\'s equations, the boundary value problem, variation problem, interpolation function and stiffness matrix in two-dimensional magnetotelluric are derived.

从麦克斯韦方程组出发，推导出二维大地电磁测深的边值问题、变分问题、有限单元法的插值函数以及单元刚度矩阵。

The idea that molecule s of a fluid are constantly in motion is a key part of the kinetic theory of gases, developed by James Clerk Maxwell, Ludwig Boltzmann, and Rudolf Clausius (1822-1888) to explain heat phenomena.

这个观念是马克士威、波兹曼和克劳修斯(Rudolf Clausius，1822～1888)在阐明热现象时所提出的气体分子运动论的主要概念。

After a century, the kinetic theory of gases was also won the rapid development of .1857, the Clausius for the first time clearly statistical concepts, derived gas pressure, volume and temperature inter-correct relations, but also in 1858 introduced the concept of .1859 free path of molecular motion, the Maxwell velocity distribution law is derived, established the mathematical theory of transport processes .1868, the Boltzmann velocity distribution law was introduced in the gravitational field .

此后一个世纪，气体动理论才又获得飞跃发展。1857年，克劳修斯第一次清楚地说明统计概念，导出了气体压力、体积和温度间的正确关系，还于1858年引入分子运动自由程概念。1859年，麦克斯韦导出了速度分布律，建立了输运过程的数学理论。1868年，玻耳兹曼在速度分布律中引入重力场。

One simple fluid model, magnetohydrodynamics , treats the plasma as a single fluid governed by a combination of Maxwell's equations and the Navier Stokes equations .

一个简单的流体模型，磁流体，把血浆作为一个单一的流体管理相结合的麦克斯韦方程组和 N - S方程。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失