笛卡尔坐标系

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。

God! I would like to Cartesian coordinate system, not Chanel handbags.

上帝！我要笛卡尔坐标系，不要香奈儿手提包。

Based on the Kirchhoff Approximation, the polarimetric scattered field is derived in Cartesian coordinate system by integration of three matrices mentioned above.

基于基尔霍夫近似，用过以上所讲的三个矩阵在笛卡尔坐标系下的积分得到极化散射场。

The main ingredient is the passage from the Cartesian coordinates to the radially symmetric coordinates.

从笛卡尔坐标系到径向对称坐标系的变换是本部分的一个重要环节。

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。

The hybrid grid system of natural water bodies are in orthogonal body-fitted curvilinear coordinates in horizontal directions, and in Cartesians coordinate in the vertical direction.

天然水域的混合网格系统，在水平方向上是正交贴体坐标系；在垂直方向上则是笛卡尔坐标系。

In this paper,the diagonal Cartesian method simulating the complex boundary, together with thetreatment to wetting-drying dynamic variation of the boundary, is applied into thetwo-dimensional shallow-water flows and sediment transport mathematical modeling,and their governing equations are discretized and solved in diagonal Cartesiancoordinates.

本论文采用斜对角笛卡尔坐标方法对不规则的复杂边界进行模拟，重点处理好干湿动边界的变化，并在斜对角笛卡尔坐标系中进行二维浅水运动的水流泥沙基本控制方程的离散和数值计算求解。

Three-dimension turbulent flow in forebay of pumping station is numerically simulated with finite volume method and hybrid grid technique.

文摘：应用水平方向上是正交贴体坐标系、垂直方向上是笛卡尔坐标系的混合数值网络系统和三维紊流数值模拟的方法，模拟了泵站前池水流流态。

Inthe horizontal plane, the orthogonal they-fitted coordinate system exactly fits the shore lines, and in the vertical direction, the blocka...

在该坐标系统中，水平面上的正交贴体坐标系与岸线精确地吻合；铅垂方向则采用笛卡尔坐标系中的堵塞技术使之与底部边界吻合。

His most famous statement is: Cogito ergo sum (French: Je pense, donc je suis; English: I think, therefore I am; OR I am thinking, therefore I exist).

作为笛卡尔坐标系的发明者，笛卡尔创立了对发现微积分与解析都很关键的解析几何—代数与几何的桥梁。他最著名的论断：我思故我在。

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