查询词典 Cartesian

The nodal Green's function methods based on the Neumann boundary condition (the second kind boundary condition) in Cartesian geometry is developed and evaluated in this thesis.

本论文发展了Neumann边界条件格林函数节块法NNGFM，并根据先进的组件均匀化技术-广义等效均匀化理论〓引入不连续因子，消除组件均匀化带来的误差，大大提高计算精度。

It was proved that the area coordinates of plane triangle element and the volume coordinates of tetrahedron element are equivalent to the oblique Cartesian coordinates by the analytical and geometrical methods.

本文通过分析法和几何法证明：在有限元法和边界元法中，平面三角形单元的面积坐标或四面体单元的体积坐标与由这些单元的二边或三边构成的斜交笛卡儿二维坐标或三维坐标，尽管定义不同，而其内容却是完全对等的。

Dissatisfaction with Descartes's efforts to answer this question bred amended versions of the Cartesian framework taken up in Chapter 3: parallelism, occasionalism, epiphenomenalism, idealism.

由于对笛卡尔的解决反感的不满，形成了很多笛卡尔框架下的修正版本，这在第三章：平行论、偶因论、副现象论，观念论。

In chapter three, we study the lower orientable strong radius and strong diameterof the Cartesian product of graphs and prove that: srad(G_1×G_2)= 2r(G_1×G_2),sdiam(G_1×G_2)≤min{sdiam(G_1)+sdiam(G_2), 2(G_1×G_2), 4r(G_1×G_2)}. Furthermore,we establish three sufficient conditions for sdiam(G_1×G_2)= 2d(G_1×G_2)holds and determine the values of the lower orientable strong diameters of somespecial graphs. Moreover, we give the exact value of SDIAM, a lowerbound for SDIAM, an upper and lower bound for SRAD andSRAD, respectively.

在第三章，研究了笛卡尔乘积图G_1×G_2的最小强半径，证明了如下结果：srad(G_1×G_2)=2r(G_1×G_2)，sdiam(G_1×G_2)≤min{sdiam(G_1)+sdiam(G_2)，2d(G_1×G_2)，4r(G_1×G_2)；给出sdiam(G_1×G_2)=2d(G_1×G_2)成立的三个充分条件，并由所给出的充分条件确定了一些特殊笛卡尔乘积图的最小强直径的值；确定了SDIAM的确切值，SDIAM的下界，SRAD和SRAD的上、下界。

Under the Cartesian coordinates, with the applicationof least-square method for an overdetermined system of linear equations, the machinesettings can be calculated, which minimize deviations of a gear's real tooth surface from thetheoretical surface.

在笛卡儿坐标系下，利用线性超越方程组的最小二乘法，求出机床加工调整参数的修正值，使实际齿面与理想齿面误差达到最小。

How to get the most precise three_dimensional cartesian coordinates of the station occupied by a totalstation through GPS unit integrated in it is emphasized,and then they are transferred to the local two_dimensional plane coordinates and the orthometric height by a series of mathematical models.

在讨论GPS与TPS两大测量技术特点的基础上，研究了两者的集成技术和数据转换问题，重点是如何利用GPS技术实时求得TPS的测站空间直角坐标，再通过合适的数学模型转换为地方坐标系的二维直角坐标和正常高。

The SCVFV(the convection-diffusion difference scheme based on control-volume face values) scheme was put forward. The theory of the SCVFV scheme was systematically elaborated. The general interpolation formula of the SCVFV scheme was given. The formulas of the SCVFV scheme based on the Cartesian coordinate were derived. The precision, the mass conservation property and the preventability of the false-diffusion of the SCVFV scheme were theoretically analyzed.

提出了基于控制容积面值的对流扩散差分格式SCVFV，系统地阐述了SCVFV格式的基本思想，给出了SCVFV插值公式的通用表达式，推导了直角坐标系下完整的SCVFV格式的表达式，从理论上分析SCVFV格式的精度、守恒性及反伪扩散性。

A tolerance analysis procedure based on homogeneous transform and Monte Carlo Simulation is proposed in this research. The propagation of variation in 3-D space is treated as propagation of errors during transformations of Cartesian frames, which are set up on the Key Characteristic Points.

通过定义车身装配坐标系统，根据微分运动的原理，建立了计算车身零部件位姿关系的数学模型，对典型公差语义的数学表达进行了研究；并应用蒙特卡洛模拟，对关键特征点偏差传播的统计特性进行了分析。

We calculate the energy-momentum pseudo-tensor of relic gravitational wave of both the polarized states by Riazuelo-Uzan expression of the energy-momentum pseudo tensor in the Cartesian coordinates, we can see that energy density and momentum densities of relic GWs are dependent on cosmic scale factor and square of the amplitudes,. At the same time, the energy density of relic GWs is positive definite, the momentum densities components have reasonable physical behavior,and their values are independent on the directions.

我们还用Riazuelo-Uzan表述在直角坐标系下对双极化态的遗迹引力波的能量动量赝张量进行计算，发现双极化态的遗迹引力波的能量张量密度与他们的振幅的平方和宇宙学尺度因子有关，他们的能量密度是正定的，大小跟传播方向无关，即遗迹引力波在宇宙学尺度上是各项均匀同性的。

Must not the only fruitful renaissance be the one that reawakens the impulse of the Cartesian Meditations: not to adopt their content but, in not doing so, to renew with greater intensity the radicalness of their spirit, the radicalness of self-responsibility, to make that radicalness true for the first time by enhancing it to the last degree, to uncover thereby for the first time the genuine sense of the necessary regress to the ego, and consequently to overcome the hidden but already felt naivete of earlier philosophizing?

在近代，对一个完全有活力的哲学的渴望，已经引起了一个又一个文艺复兴，唯一富有成果的文艺复兴难道不就是唤醒笛卡尔式《沉思》的推动力吗？——不是要用那些内容，不这样做，而是以更大的强度去重新实现这些精神的彻底性、自身负责的彻底性，通过提升到最后的程度上去把彻底性第一次真正实现，于是去第一次揭开必须回退入我思『ego cogito』的真正含义，最终去克服早期做哲学的朴素性（——这已经被感到了，但依然隐藏着）。【英p5/3，德p47/2

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。