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The new theory unifies a series of the single nonlinear strength theories for various concrete materials, which includes the whole region between the upper-limit Mises circular and the lower-limit SMP curve on the π plane of principal stress space, and the strength curves on the meridian plane are the exponential functions.

该理论在主应力空间的π平面上含盖了从下限SMP曲线到上限Mises圆之间的所有区域，子午面上的破坏曲线为幂函数形式；共有四个材料参数，均具有明确的物理意义，并给出了参数的确定方法。

Based on the description of Mohr-Coulomb and Drucker-Prager yield criteria with invariant of stress, a formula for error estimation of unit strain energy between the two stress states is established in the deviatoric plane of the principal stress space, which satisfies M-C and D-P yield criteria respectively. A general procedure to transform M-C material parameters to D-P analysis parameters is obtained.

基于应变比能的概念，在偏平面内建立了分别进入Mohr-Coulomb和Drucker-Prager屈服面时所需形状改变比能的差值公式，获得M-C材料参数向D-P计算参数等效的统一性方案。

Understand the correlation and space distribution between the provenances that to apply the factor analysis with principal components solution and Cluster analysis.

本试验欲探讨种源之变异状况，并计算广义遗传率及遗传变方百分率，以了解遗传之特性；测验其生长性状之相关性，并利用线性回归，试图找出最适合台湾四湖海岸生长之种源及早期选拔之年龄；利用主成份因子分析做形态性状之综合评估，以了解种源之形态特性，并利用主成分因子分析和归群分析，了解种源间之空间分布及相互关系。

And the relativity between competition and monopoly is analyzed from the view of time, space and product.

本章还从时间、空间、产品等角度分析了垄断与竞争的相对性。

Indicates the harmony between space, product, and people in the office environment.

360度，在这极致广泛的办公角度范围里蕴含着空间、产品与人之间的和谐统一。

Based on the model of linearcamera in the stereovision and the character of wandering in the virtual scene, this method can get a projection matrix by thecorrespondence of four points between image space and texture plane.

该方法以立体视觉中的线性摄像机模型为基础，针对虚拟场景漫游的特点及需要，利用透视投影中点的对应关系，通过图像空间与纹理平面上的四点对应，求得纹理校正的投影矩阵。

To solve the problems in adjusting and controlling shapes of developable surfaces, following the important idea of duality between points and planes in 3D projective space, two direct explicit and efficient methods of computer aided design for developable surfaces are proposed.

为了解决工程中可展曲面位置与形状难以调整和控制的问题，基于3D射影空间中点和平面间的对偶性这一重要思想，提出了2种直接、简单有效的可展曲面设计新方法。

There exists two pairs of congruent plane pencile between two projective space.

两射影空间场，属于每一对对应非固有点，存在两对对应合同面束。

As human epistemology is concerned, there are at least five kinds of natural basic means for human to know about the universe: sensibility (time-space, algebra, geometry and all sensory abilities of human), intellectuality, aesthetic appreciation and aesthetic purposiveness and supreme rationality, which constitute the connection between subject and object. People use these basic ways to recognize themselves and all things in the universe.

关于人类认识论：人类认识宇宙的先天基本方式至少有五种，感性（时空、代数、几何及人类所有的感官能力）、知性、审美、审目的和最高理性等，它们构成了主体与客体之间的联系，人类用这些基本方式来认识自身及宇宙万事万物。

On the basis of comparison of several algorithms of the calculation of unstable resonator"s mode. Fast Fourier transform method is chosen in this paper. The model of multi-layer distribution of gain is established. Sampling granularity in real space used in FFT, quotient of guard band and distance between subsections are made certain respectively. The convergence criterion of root-mean-square of plural y which is the quotient of the optical field"s distributions separated by one pass is established. Under the circs of multi-kind of distribution of gain and different measurement of distortion, the output optical field distribution is calculated.

在比较了各种计算腔模方法的基础上，根据角谱传播理论，选择FFT算法，建立谐振腔内多层增益分布模型，分别确定了FFT算法的空间采样间隔、保护带系数和分段计算的距离，选取光场往返一次之比的均方根值收敛准则，计算多种增益分布、不同镜面变形时的谐振腔输出光场分布，同时计算该光场的远场分布和传输有限距离之后的分布。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。