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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。

And what Escher mainly specialize is the surmountof vision, it mostly appear in the feature of geometries and spaces with variousdifferent angles and his engraving also has extraordinary techniques.

而艾薛尔主要专注於视觉上的突破作品多半呈现异度的矛盾图形与几何空间，其版画作品也表现的淋漓尽致具顶尖的技术层面。

Of, relating to, or being any of several modern geometries that are not based on the postulates of Euclid.

欧几里德几何原理的欧几里德几何原理的，与之有关的

With activating function at stimulating threshold and requirement of the minimum driving energy in the coil, the optimal coil geometries are searched by adjusting the flat coil structure parameters and computing the corresponding coil output---the peak magnetic energy of coil.

在磁刺激激活函数达到阈值和最小线圈驱动能量条件下，调整平面螺旋线圈的结构，计算出依赖于线圈结构参数并反映线圈输出性能的峰值磁能，从而，寻找最优的线圈几何参数。

Using the MP2 method at the 6-311G level, the geometries of the reactants, transition state and products of the hydrogen abstraction reaction of isocyanic acid with formyl radical have been optimized. Changes of bond lengths of interacting molecules and the stationary point structures were discussed along the minimum energy paths.

在 UMP2/6-311G计算水平上，优化了标题反应的反应物、过渡态、产物的几何结构，沿最小能量途径讨论了异氰酸和甲酰自由基发生氢转移反应位能面上驻点的结构以及相互作用分子结构变化。

The modern study of space generalizes these ideas to include higher-dimensional geometry, non-Euclidean geometries (which play a central role in general relativity ) and topology .

现代的空间研究一般化了这些想法，包括高维几何，非欧几里德几何（这在广义相对论中发挥中心作用）和拓扑。

Numerical simulation is a effective method for solving problems of fluid flow and heat transfer in complex geometries.

数值模拟是解决复杂区域的流动和换热问题的一个行之有效的方法。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。