查询词典 cartesian equation

MGM is introduced to solve field distributions in 3-D electron optical systems. The difference equation, the discrete form of Laplace's equation, is deduced in 3-D Cartesian coordinates. In view of the smooth effect, MGM combines Gauss-Seidel iteration with a technique known as coarse grid correction. Formulae for restriction and prolongation are deduced and expressed in terms of tensors.

将多重网格法引入电子光学系统中三维静电场的计算，对三维笛卡尔坐标系中的差分方程，采用高斯-赛德尔迭代法求解差分方程组，并结合迭代过程讨论了粗网格的误差校正技术；在不同网格层之间进行场值的限制和延拓，推导了三维静电场中的限制、延拓公式并以张量的形式表示。

In the first part of the paper, the explicit form of difference equation and periodic boundary condition is derived in Cartesian coordinate system.

由于光子晶体也属于一种周期结构，在分析其带隙结构时，可以借鉴前面的算法。

Radiative transfer equation in cartesian coordinates can be considered as a special kind of convectivediffusive equation with strong convection characteristics.

直角坐标系下的辐射传递方程可以看作一类特殊的对流扩散方程，且具有强对流特性。

Radiative transfer equation in cartesian coordinates can be considered as a special kind of convective- diffusive equation with strong convection characteristics.

直角坐标系下的辐射传递方程可以看作一类特殊的对流扩散方程，且具有强对流特性。

Then, the turbulent SRNS equations and the two equation k-ε turbulence model are presented in Cartesian coordinate system, the equation of turbulence model is parabolized to adopt the space marching method.

为了数值模拟湍流流动，给出了直角坐标系下湍流SRNS方程及K-ε双方程湍流模型，并对K-ε方程进行了流向抛物化以适应空间推进求解的要求。

Based on the involute's basic principles and theoretical formulas, input the involute's formulas of cartesian coordinates into the equation editor, accordingly create the precise involute of gear's contour. Based on the formula of helical gear's parameters, accurately create a curve of tooth profile. Create the chraceristics of helical gear by ordering of swept blend and array.

依据渐开线生成的基本原理和理论公式，在方程编辑器中输入渐开线的笛卡尔坐标方程，从而生成精确的齿轮轮廓渐开线；根据角变位斜齿轮各参数的计算公式，精确创建了齿廓曲线；利用扫描混合和阵列命令创建斜齿轮的轮齿特征。

It is shown that in Jameson's algorithm is not an orthogonal stream-lines coordinate system, but a local stream-lines coordinate system instead. Nevetheless, because of the finite-difference discretization in Jameson's scheme is not carried out along the direction of s and n, but along the Cartesian coordinates, the analysis on all terms of the full potential equation in Cartesian coordinates reveals that his scheme does take a back-ward difference along the streamwise exactly at all points in the supersonic flow region.

表明其所采用的坐标系不是真正的正交流线坐标系，而是局部流线坐标系；同时由于Jameson方法并不对s，n进行差分离散，而是在原笛卡尔坐标系下作差分离散，对笛卡尔坐标系下的全位势方程中的各项的分析表明，Jameson方法恰好能做到在超音速点沿真正的流线方向作后差分。

Three altimeter data——Geosat/GM, ERS-1/35day and Topex/Poseidon, and two gravity recovery methods —— inverse Stokes formula with 2DFFT and along-track vertical deflection with 1D Hilbert Transform, are used in this section. The second method is developed independently by author on the basis of the Laplace's equation in Cartesian system.

主要利用三颗卫星测高数据——Geosat/GM、ERS-1和Topex/Poseidon，采用了两种不同的重力异常恢复技术——Stokes公式逆运算+FFT处理和改进后的沿轨迹垂线偏差恢复法，构造了两个区域大小不同、分辨率不同(30'×30'和2'×2')但精度大体相同(10mGal)的重力异常——IGG97和IGG99S。

The equation for robot system motion in the joint space can then be represented as Cartesian space coordinates based on the Jacobian matrix.

本研究利用图形化的建模方式来下达控制命令，来模拟机械手臂尾端定位之控制，进而运用在即时控制上。

Starting with the basic concept about particle transport and the universal form of transport equation, the discuss is concentrated upon the transport equation and the implicit difference scheme under 3-D Cartesian coordinate, as well as the transport equation and the discontinuous finite element scheme under 2-D cylindrical geometry.

从粒子输运的基本概念和输运方程的一般形式入手，重点讨论了三维直角坐标中子输运方程和隐式差分格式，以及二维柱坐标中子输运方程和间断有限元格式。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。