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According to the structure and motion characteristics of the spherical offset mono-cone bit, compound cylindrical coordinates were set up, and basic geometric equations and the conditions of teeth to penetrate rock for the bit were presented.

针对偏心单牙轮钻头的结构和运动特点，利用复合圆柱坐标系统的基本原理，建立了偏心单牙轮钻头几何学基本方程和牙齿对岩石的吃入条件。

Moreover, the geometric structure of the state space of DAE control systems is revealed.

论文最后还给出了这类控制系统的状态空间构成的一个几何结构的刻画。

The results show that:Changing the substituents of the phenyl rings,on the one hand,will influence the capacity of conjugation of the phenyl rings through S→N dative bond and furthermore influence the weak acid-dissociation of phenolic hydroxyl,on the other hand,will influence the geometric conformation of the compound and furthermore influence to form structure matched with membrane and water/membrane.

结果表明：改变药物化合物两边苯环上的取代基，一方面，将影响苯环通过S←N授受键的共轭能力，进一步影响酚羟基的弱酸离解常数；另一方面，将影响C-S，S-N键自由旋转的难易程度，进一步影响到能否形成与膜/水膜界面相匹配的结构。

It has been studied that the influence of geometric nonlinear factors on the solution of dead load, eigenproblem and the analysis of earthquake response.

探讨了几何非线性因素对斜拉桥结构的静力计算的影响、自振特性计算的影响及地震反应的分析影响。

The conclusions provides practical significance for engineering practice.The side displacement of the glass plate center is larger or less than the glass plate thickness,for the 3D geometric size of the glass plate and the lateral load vary in a wide range. In other words,the mechanic analysis of glass plate belongs to large deflection or small deflection theory in thin plate theory.

由于幕墙玻璃的三向几何尺寸和横向荷载集度可在较大的范围内变动，玻璃板中心的侧向位移，有可能小于或大于玻璃板的厚度，也就是说，幕墙玻璃的力学分析，既可能属于薄板理论中的小挠度问题，也可能属于大挠度问题。

These formulae can be used as an analytic solution for quickly estimating the geometric aberrations of a known deflection system and checking the related computer program.

这些公式不但可用来快速估算偏转象差，还可用来作为校验数字计算程序的理论模型。

Week 5 The definition and nature of derivative, the geometric meaning of derivative, the relation between the derivability and the integral, derivation rule.

第4周 连续的定义，连续函数的性质，初等函数的连续性，闭区间上连续函数的性质。

The values of joint geometric characters and number of random joints in each group are decided through the derivable formulas.

其次，利用裂隙介质的渗透张量理论计算不同尺寸的岩体渗透张量，进而确定节理岩体的表征体元。

The latter is essentially derived from the geometric realization of Happels triangulated equivalence between stable module category of repetitive algebra and bounded derived category of finite dimensional algebra. In terms of this realization, we deduce that the Lie algebra realized by derived category of a finite dimensional algebra is isomorphic to the Lie algebra realized by stable module category of the corresponding repetitive algebra.

后者本质上是Happel关于重复代数的稳定模范畴和导出范畴的三角等价的一个几何实现及其应用，使用这种几何实现，我们可以证明在重复代数的稳定模范畴上定义的李代数同构于相应的导出范畴上实现的李代数。

The formula derived in this paper are consistent with those in CHEN's paper where they are derived based on geometric graph, while the former are easy to comprehend.

根据相位裕度的概念推导出的参数整定公式与基于几何图形推导出的参数整定公式一致，但更容易理解。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。