查询词典 plane geometry

Then the propagation of an arbitrary nonideal optical beam is analyzed. In terms of the moment theorem, the performance of modes of BOR is analyzed from both points of view of geometry optics and diffractive optics. Comparing BOR with the resonators using plane mirror and spherical mirror or using plane mirror and aspherical mirror by finite element method, the design procedure for BOR is gave.

然后以衍射的角谱理论为基础，用矩量定理讨论了任意光束的传播规律，从几何光学和衍射光学的角度完整地分析了二元光学谐振腔的模式特征，用有限元方法数值对二元光学谐振腔、非球面腔和球面腔进行衍射分析，比较了三种腔型的差异，给出了二元光学谐振腔的设计方法。

Thus, along with that the geometry of a particle is closer to a plane gradually the freezing temperature will approach to the temperature of water nucleation on a plane until two temperatures join up.

于是， 随着粒子的几何形态接近于平面，结冰温度也将接近于水分在平面上的结冰行为，直到二者相衔接。

The line that passes through the center of the Earth linking the perigee and apogee, known as the line of apsides, itself rotates in the orbital plane at a speed that depends on the geometry of the elliptical orbit and the inclination of the orbital plane to the equator.

经过地球中心，连接近地点和远地点的线称为apside线，卫星在轨道平面上以某个速度旋转，这个旋转速度根据椭圆轨道以及轨道平面到赤道的倾角的几何学来计算。

The plane lifts quickly, pass through aerosphere, at this moment air man shuts engine, passenger and unit staff have weightlessness feeling, after this kind of case lasts about two minutes, the plane returns aerosphere, the plane is quickened afresh.

飞机迅速升高，穿越大气层，这时飞行员关闭发动机，乘客和机组人员有失重感，这种情形持续大约两分钟后，飞机返回大气层，飞机重新加速。

The common method for obtaining the angle of the plane figure to projection plane is through the right-angled triangle method after getting the double-face projection of the plane figure on the basis of the conception of maximum oblique line.

求平面图形对投影面的倾角，通常需要知道平面图形的两面投影，利用最大斜度线的概念，通过直角三角形法求得。

In the second chapter, elementary theories and ideas of one step forming inverse approach were described and warped modification method, implemented by Cook, was introduced into one step forming simulation and based on idea of surface spreading; new quadrilateral element modification arithmetic was put forward. By spreading warped quadrilateral onto plane in local coordinate system, a plane quadrilateral element whose shape and area were equal to original warped quadrilateral element was gotten and internal force vectors of four nodes and stiffness matrix of elements were improved to increase precision of simulations on this plane element.

第二章从一步成形逆有限元法的基本理论和思想出发，将Cook基于弹性理论的四边形单元的翘曲修正算法引入基于塑性的一步成形，并且基于曲面展开的思想，本文提出一种新的四节点单元翘曲修正方案，通过把翘曲的单元展开的方法在局部参考系中得到一个与实际翘曲单元的形状与面积非常接近的平面单元，在该平面单元中进行单元刚度及内力向量的计算，进一步改善模拟结果的精度。

The unsaturated and compacted soil triaxial test result under constant suction describes the unsaturated soil critical state surface in p-q-s three dimensional space: in p - q plane, the slope M of critical state line is independent of suction; the cross line of LC yield surface and critical state surface is a curve with extremum in three dimensional stress space, and its projection in p-s plane is located in quadrant 1 in triaxial compression state; its projection in q-s plane has asymptote, and there should also be asymptote in respect of the curve that stands for the function relationship between cohesive and suction.

基于局部变形测量的常吸力非饱和压实土三轴剪切试验结果，全面描述了非饱和土p—g—s三维应力空间中临界状态面的合理形态：在p—q平面，临界状态线斜率M是与吸力无关的物理量；临界状态面与LC屈服面交线在三维应力空间中是一条存在极值的曲线；该交线在p—s平面的投影曲线在三轴压缩应力状态下应位于第一象限；该交线在q—s平面的投影曲线应存在渐近线；反映凝聚力与吸力关系的函数曲线也应存在渐近线。

Particular configurations on bedding planes and on the surface perpendicular to the bedding planes lead to different explanations for the genesis of these silty dykes:(1) they are considered as the oldest trace fossils of metazoan according to the spindle-crack of siltstones on the bedding plane and the sand-filling tube configurations on the surface perpendicular to the bedding plane;(2) they are considered as the liquefied sand-veins induced by earthquake according to the sinuous configuration of siltstone dykes on the surface perpendicular to the bedding plane and the obvious liquation feature.

由于该粉砂岩岩墙在层面上和层内具有特别的形态，因而对其成因具有多种解释：在层面上呈纺锤状粉砂岩裂缝以及在层内呈砂质充填管形态，从而被认为是最古老的后生动物遗迹化石；在层内呈弯弯曲曲的粉砂岩岩墙以及明显的流体化作用特点，所以又被解释为地震振荡作用形成的液化砂岩脉。

Evaluating the damage efficiency of the carrier plane groups under the attacking of multiple-submunition is a complicated problem. A rapid method was provided to evaluate the damage efficiency issue based on vulnerability analysis of the carrier plane group and using the pixel-simulation method, and a computation simulation model of the carrier plane groups under the attacking of submunition was established.

对于采用子母弹攻击航空母舰舰载机群的毁伤效果分析问题，存在相当大的难度，为对子母弹攻击舰载机群毁伤评估提供一个快速、初步的结果，在对舰载机群进行易损性分析的基础上，采用像素仿真的模拟方法，实现了多弹攻击下舰载机群毁伤效果的计算机模拟计算。

The third lens group includes a 3rd-group 1st meniscus lens having a concave surface on the image plane, a 3rd-group 1st compound lens formed by joining a 3rd-group 1st negative lens having opposite concave surfaces and a 3rd-group 1st positive lens having opposite convex surfaces, and a 3rd-group 2nd meniscus lens having a convex surface on the image plane side arranged in that order from the screen side toward the image plane side.

第三透镜组包括一个在像平面侧具有凹表面的第3组第一凹凸透镜，一个由具有相对凹面的第3组第一负透镜和一个具有相对凸面的第3组第一正透镜结合的第3组第一组合透镜，和一个在像平面侧具有凸表面的第3组第二凹凸透镜，它们以从屏幕侧到像平面侧的顺序布置。

I want to be a big fish in a small pond.

我要做一条在小池塘里的大鱼。

While the software functioned well, we did not feel the same about their customer support!

虽然该软件运行良好，我们没有同样的感觉他们的客户支持！