查询词典 geometries

With the methods of conformal mapping and the Cauchy integral, two cases of crack geometries are studied: one is for a crack emanating from a circular hole and the other is for two symmetric cracks emanating from a circular hole.

利用保角变换和 Cauchy 积分的方法，对含有圆孔孔边单裂纹和双裂纹的压电弹性体分别进行了分析。

Formulations for analysis of geometries with closed form deviation equations are presented.

提出了以闭型偏差等式形式给出的各种几何学分析公式。

As to the remaining parameters, two methods are developed: first, accepting that the projection function complies with a circular function within at least a part of a given field of view, constrained by the obtained object-to-image radial mapping and a constant focal length, the best-fitting point of the optical origin is tested along the optical axis; secondly, referring to the postulation of the exclusively bilateral mapping between an imaged point and its scenic sight ray, a measuring technique is developed to survey the world coordinates which will fabricate a projecting path to the imaged points located on the imageable region of the image plane in order to directly model the projection geometries involved.

而针对其余参数本文提出两种解题方法：其一是根据『在「部分视野角范围」内，鱼眼相机的投射模型符合一典型的「圆形函数」』以标靶实体与其影像尺寸为限制条件，测试光学轴上的最佳视觉参考点、鉴定最适当的投射模型、焦距、及有效的视野角度范围。其二是根据『一视野线排他性地与对应「呈影点」一一映射』参考一呈影点来搜寻空间中对应视野线的绝对座标后，据以演绎相机内部影像形成的模型。

It was found that there are two different damage geometries: shallow denudation and deep crater.

实验结果表明，破斑呈现出表面层的剥落和深坑破坏两种形态。

After this the Euclidean and hyperbolic geometries are built up axiomatically as special cases of a more general 'descriptive geometry'.

在此之后的欧几里德和双曲几何的建立作为一个更一般的'特殊情况下，公理画法几何'。

Based on the important idea of duality between plane and point geometries,two direct explicit methods of computer-aided design for developable surface s were proposed,the developable surface s were represented using control planes with appropriate basis functions.

为了克服传统方法在可展曲面设计上的缺陷，方便地解决工程中经常遇到的可展曲面位置和形状难以调整和控制的问题，基于3D射影空间中点和平面间的对偶性这一重要思想，提出了两种直接、简单的可展曲面设计方法。

In order to validate the correctness, the absolute differential cross sections of e-Ar scattering with multi-photon exchange in some special scattering geometries are calculated with Yukawa potential by applying the Second-order Born approximation and low-frequency approximation theory, respectively.

为了验证该计算方法的有效性，在入射电子的动量平行于激光场的极化方向这种特殊的散射模式下，利用Yukawa势，分别应用二阶玻恩近似方法和低频近似理论方法对激光场中电子—氩原子交换不同光子数的散射截面都进行了计算。

By applying density functional theory, the relationships between the electron structures and the complexation of the two types of bis-β-diketone ligands (dithiol-γ-linked or alkyl-γ-linked) were investigated, based on the polarized continuum model of the self-consistent reaction field. Using the model B3LYP/6-31G**, the geometries of the ligands were optimized and the electron structure changes calculated.

基于自洽反应场中的极化连续介质模型，采用密度泛函理论B3LYP/6-31G**计算了以二硫醚和芳环为桥基的两类双β-二酮配体的空间构型和电子结构，结合其配合物晶体结构数据，研究配体分子电子结构与配位性的关联性。

The equilibrium geometries and disassociation energies also have been determined.

通过Murrell-Sorbie势能函数和最小二乘法拟合得到了解析势能函数。

The equilibrium geometries, harmonic frequencies and energy of various stationary points on the potential energy surfaces have been calculated in the lowest doublet states.

得到了反应势能面上的各物种的优化构型参数和能量，并对可能的反应通道进行了计算和分析。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48