不变性性质

They include:collinearity--an invariance under the projective transformation group;Parallelisminvariance under the affine transformation group;the direction of angles--aninvariance under the rotation transformation group.

这些几何不变性质包括共线性——在射影变换群下的不变性；平行性——在仿射变换群下的不变性；角的方向——在欧氏平移变换群下的不变性。

Furthermore,some circular arc spline curves which have C~0 or GC~1 continuity are constructed.

该表示形式中没有权因子和额外的控制参数，而且具有几何不变性、仿射不变性等良好性质。

In the process of investigation on the torsional effect of quartz crystal, mirror symmetric conservative law is applied to ascertain the connection between the physical characteristics of leftwards spiral crystals and rightwards spiral crystals.

面对工程界对左旋石英晶体压电性质的描述不统一的现状，从晶体螺旋对称的本质出发，应用宇称不变性明确地建立了左、右旋晶体这两种客观实在物质的物理性质之间的联系，给出了建立这种联系的方法，并应用到了左旋石英晶体的三阶压电张量和四阶弹性张量的确定中。

In the present paper,we investigate solvable radicals and Hopkins nilpotent radicals for Lie triple systems and prove that both radicals are invariant under actions of deriva- tions.

本文讨论李三系的可解根基和Hopking幂零的某些性质及导子作用下的不变性，讨论了李三系次理想的某些性质，证明了李三系为幂零的当且仅当每个子系都是次理想。

Based on twenty yearss research, Chen Lin developed the holistic processing hypothesis of Gestalt psychology into topology property perception theory, and thought of the human perception as a processing from holistic property to local property of perceptual object. From the viewpoint of Chen, a primitive and general function of the visual system is the perception of topological properties, and perceptual organization should be understood in the perspective of transformation and perception of invariance over transformation in the topological approach.

基于二十余年的研究积累，陈霖的拓扑性质知觉理论从格式塔心理学的整体加工思想出发，试图结合拓扑学的相关研究，对人类的知觉加工给出一个"大范围到局部"的说明，认为视觉系统的基本单元和一般功能是拓扑性质的知觉，知觉组织应当从变换和变换中的不变性知觉的角度进行理解。

In spherical polar coordinates, DRSC potential have supersymmetry and shape invariance for θ and r coordinates. By using the method of supersymmetry and shape invariance, exact bound state solutions of Schrodinger equation with double ring-shaped Coulomb potential are presented. The normalized angular wave function expressed in terms of Jacobi polynomials and the normalized radial wave function expressed in terms of the Laguerre polynomials are presented. Energy spectrum equations are obtained.

本文研究了双环形Coulomb势Schrdinger方程的束缚态精确解，所采用的方法是首先对双环形Coulomb势的Schrdinger方程在球坐标系中进行分离变量，得到相应的角向方程和径向方程；证明双环形Coulomb势在角向和径向具有超对称性和形不变性；根据超对称性和形不变性的性质，获得了角动量量子化条件和束缚态的能谱方程，并将归一化角向波函数用Jacobi多项式表示，将归一化径向波函数用Laguerre多项式函数表示。

With the segmented mass contour, spiculated tissues surrounding the mass are detected, and a quantitative spiculation index is computed to assess the degree of spiculation.

其次，根据同一病患同侧乳腺组织拍摄的CC视图和MLO视图中相应肿块病灶区域在中轴线上的投影点与乳头之间的距离基本保持不变的性质，匹配了多视图中相应的可疑病灶区域，并基于匹配区域对提取了视图不变性特征和相似性度量特征。

The features of the fractured medium and the rock matrix in the fractal composite reservoirs are describes with the fractal dimension (which describes the geometric features) and the fractal index (which depicts the connectivity of the fractal fluid flow network); An analysis mathematical model of well testing is proposed for inconstant flow rate with the closed outer boundary and the wellborn storage and the skin effects.

分形是研究自然和社会中广泛存在的零碎而复杂、无序、不规则、非线性、不光滑，具有自相似、自仿射和标度不变性的复杂系统、图形、构造、功能、性质和复杂现象，及隐藏在这些复杂现象背后的，具有精细结构、内在随机性，局部与整体本质联系的，被传统线性科学排斥在外的不规则"病态"，不可微的事体，形体。

In Higher geometry , one of important points is to study graphic invariance and invariant in terms of projective trans formation and the feafures of prime and combination are its main and constant oners.

在高等儿何中，它的一个重要内容是研究图形在射影变换下的不变性和不变量，而同素性和结合性又是它的主要不变性质。

Part II of this paper studies the structure of symmetric self-dual Lie algebras.

假设李代数g带有一个与Killing具有相同性质的型B，即具有双线性性，非退化性，对称性和不变性，由于这样的李代数g的伴随表示与它的余伴随表示等价，我们称李代数g为对称自对偶李代数，称型B为它上的一个不变数积。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。