数的几何

We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition , substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

Specify what status the spatial operator algebra locates at in many methods of multibody systems dynamics formulations and what the relations are between the spatial operator algebra and other dynamics formulations.We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition, substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

Write the structural formula for an alkyne hydrocarbon having the fewest number of C's, which has geometric isomers, and give the IUPAC name for both geometric isomers.

答：写出有几何异构体的，含碳原子数最少的炔烃的结构式，并对所有的异构体用IUPAC命名法命名

The order analysis method was used,through a comprehensive comparison of complex determination coefficient and residual sum of squares,the optim...

采用逐阶分析方法，通过综合比较回归分析中的复测定系数、残差平方和等方法来确定最优的多项式的阶数，提高了几何误差模型的精确性和鲁棒性，从而使数控机床误差实时补偿更有效。

Studies were made of the calculation of fractal dimension of transverse impact fracture surface, and of the correlation between impact toughness of steel and parameters of free-cutting phase by means of the developed fractal geometry model of crack propagation.

通过建立裂纹扩展的分形几何模型，计算了冲击断口的分形维数，研究了冲击韧性与易切削相参数的相关性。

From this theorem, we prove the existence of the recurrence for the admissible q-proper hypergeometric sums, and obtain an estimate of the order J of the recurrence.

在此基础上证明admissible q-proper超几何和的迭代关系的存在性，并且得到迭代关系阶数J的一个估计。

The particle size distribution fractal was introduced into powders' flowability testing, through used the mathematical model which utilize the geometry properties of the particle, and propitious to the digital micrographic image analysis method. It was gained the fractal dimensions, discussed the relationship between the powders' flowability denotation parameters and powders' PSDF, and also made a primary research about the action effect of flow addition reagent magnesium stearate.

本文中在颗粒流动性测试时引入粒度分布分形维数，通过采用利用颗粒几何特征，便于采用数字显微和用像处理计算粉体粒度分布分形维数值的数学模型，得到粉体粒度分布分形维数值，探讨颗粒流动性表征参数与粉体粗度分布分形维数值间的关系；并就流动助剂硬脂酸镁对粉体流动性能的改进与粉体粒度分布分形维数值关系进行了初步探讨。

Dividing disease entities by fixed digits of ICD-9 code is easily performable. This method should be used when the disease entities include about 60% of total inpatients, and geometric mean should be used in calculating average length of hospital stay and average cost.

采用固定位数的ICD-9编码分类方法可操作性较好，分析病种所包括的住院患者占住院患者总数的60%左右较为合适，病种平均住院天数和平均住院费用等指标以几何均数为宜。

The influences of fractal dimension,area ratio andvelocity on the bulldozing resistance were examining sythetically by usingthe method of test design.

利用蜣螂体表几何非光滑结构单元的这一分布特性，对推土板表面进行了仿生分形设计，并利用试验优化设计的方法综合考察了分形维数、面积比及速度对推土阻力的影响。

In this Paper the joint profile expression and fractal theory are reviewed, and the fractaltheory is used to study the frictional angle of the rock joint.

本文首先简要介绍节理形貌的描述方法和分形几何理论，然后将分形理论引人岩体节理摩擦角的研究中，得出了用分形维数表示摩擦角的经验公式。

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。