进行群射

Description and recognition of plane has been processed depend on the geometry model of continental group and affine group anciently, with the development of the computer vision application, people attaches importance to the investigation of the perspective invariants, thus the investigation of perspective invariants gradually become an important problem in the computer vision.

以往人们对曲线的描述和识别大都是在欧氏群和仿射群的几何模型下进行的，近几年随着计算机视觉应用的发展，射影群下不变量的研究开始受到人们重视，所以射影变换下几何不变性的研究是计算机视觉中的一个重要的研究课题。

Symplectic group research is enlarged in the fi nite field to the affine Symplectic group by studying the transition of affine Symplectic group.

把有限域上的辛群的研究推广到仿射辛群并对仿射辛群的可迁性进行了研究。

Thismethod adopted affine transformation model and a Lie derivative-based analytical algorithm.We introduced the process and characters in extracting information of biological visionsystem, studied the feasibility of the generalized Gabor function used as receptive fieldfunction in extracting information and analyzed affine transformation group and Liederivatives. Finally, we deduced the mathematical denotation for Lie derivatives, i.e. theinfinitesimal generator of the geometric distortion in affine transformation.

对生物视觉信息提取的过程及特点进行了介绍，其中主要研究了广义Gabor函数作为感受野函数提取初级视觉信息的可行性；对仿射变换作为外界图像信息在视觉成像系统上的投影模型的原理进行了初步讨论；对Lie变换群微分算子用于提取仿射变换不变量的分析方法作了剖析，并推导了该方法中关键部分——仿射变换Lie微分算子的具体表达式，也就是几何变形无限小微分算子的计算表达式，使下一步编程实现该方法成为可能。

This sapphire is well-known because of its mineral rutile and the asterism, which is caused by the reflection of incoming light on a three-fold mineral pattern in the stone.

这蓝宝石是众所周知的，因为它的矿物金红石和星群，这是造成的入射光进行为期3倍的反思，石矿物模式。

In this paper we define the concept of Projective Blaschke manifolds and extend the theory of equiaffine differential geometry to the projective Blaschke manifolds. We prved that if M be a complete projective Blaschke n-sphere and its universal covering manifold is isometric to a complete (n+1) dimensional parabolic, elliptic or hyperbolic affine hypersphere, then M is a quotient space of E^n, S^n or D^n by a isometric subgroup of its corresponding spaces.

在这篇文章中我们定义了射影Blaschke流形的概念，将等仿射微分几何的理论推广到了射影Blaschke流形，并证明：如果n维完备射影Blaschke 超球面 M 的通用覆盖流形分别是完备的抛物型、椭圆型或双曲型仿射球，则M分别是n维欧氏空间、n维超球面或n维单位圆盘关于各自空间的一个等距离散子群的商，从而对完备射影Blaschke 超球面进行了分类。

In this paper, the analytical expressions of seismic input for homogeneous elastic half-space are first derived in oblique incidence of plane SV-wave, and then a finite element model for a real hydropower cavern group composed of main powerhouse- transformer chamber- tailrace surge tank cavern is created. Characteristics of seismic responses such as displacement, acceleration and stress are studied in detail at different incidence angles and some results are compared with those given by the literature.

本文首先推导了平面SV波斜入射下均质弹性半无限空间的地震动输入表达式，然后建立了某水电站主厂房室-主变室-尾水调压室等构成的地下洞室群有限元模型，详细研究了不同入射角度下各洞室的位移、加速度、动应力等地震反应特点，并与文献进行了对比。

Bipyridyl and 1,10-phenanthroline (L3), Cl3SnCH2CH2COORo L (L= L1, a; L2, b; L3, c), formed by low-heating solid-state reaction. The crystal structures of 1 and 2 show that the tin atom adopts a distorted trigonal bipyramid geometry via intramolecular carbonyl oxygen to tin coordination [the distances of Sn-0 bond are 0.2351(6) ran for 1 and 0.2362(3) nm for 2]. Compound 1 belongs to monoclinic with space group P2/c, a = 0.9842(2) nm, b =1. 0923(8) nm, c = 1.23948(11) nm,/?= 93.894(15)°, V= 1.3294(4) ran3, Mr = 366.23, 7 = 4. Compound2 belongs to monoclinic with space group P2{/c, a = 1.04443(9) nm, b = 1.04823(7) nm, c = 1.28113(9) nm,/= 90. 953(8)°, V= 1.40239(19) nm3, Mr = 380.25, Z = 4

利用元素分析、红外光谱、核磁共振对其结构进行了表征，并通过X射线单晶衍射测定了1和2的晶体结构，二者均为具有分子内羰基氧原子配位的畸变三角双锥结构。1属于单斜品系，空间群P21/c， a=0.9842(2)nm，b=1.0923(8)nm，c=1.23948(11)nm，β=93.894(15)°，V=1.3294(4) nm^3，Mr=366.23，Z=4.2属于单斜晶系，空间群P21/c，a=1.04443(9)nm，b=1.04823 (7)nm，c=1.28113(9)nm，β=90.953(8)°，V=1.40239(19)nm^3，Mr=380.25，Z=4。

In the Secondone,we presented a simple and expedient electrolytical reductionmethod to grow molybdenum blue bronze crystals from salts melts.The structure and composition were verified by single-crystal X-raydiffraction and XPS electron-probe analysis.

通过XPS和四园单晶X-射线衍射方法对单晶成份和结构，利用汇聚束电子衍射和STM方法对单晶的群对称性及表面电子结构进行分析研究，结果表明：生长的单晶具有高质量，且与国外制备的单晶一致，给进一步深入的研究工作提供了可靠的依据。

Two coordination polymers [Pb6(H2O)24]·3H2O(1)(H3cit=citric acid)and Pb(H2O)2(2)(tar=tartaric acid)were synthesized under hydrothermal conditions and characterized via IR,TG-DTA,C,H,N elemental analysis,XRD and single crystal X-ray diffraction analysis.

在水热条件下，合成了2个含柔性配体柠檬酸和酒石酸的二价铅配位聚合物[Pb6(H2O)24]。3H2O(1)(H3cit=citricacid)及Pb(H2O)2(2)(tar=tartaricacid)。用红外光谱、差热-热重、元素分析、粉末X射线衍射及单晶X射线衍射等手段对化合物进行了表征。化合物1属三斜晶系，P1空间群，a=0.97053(19)nm，b=0.9764(2)nm，c=1.0955(2)nm，α=109.016(3)°，β=98.380(3)°，γ=92.136(3)°，V=0.9671(3)nm3，Z=2，R1=0.0420，wR2=0.1049，GOF=1.064。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。