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In this paper,the area ratio of plane figure affine transformation in space is investigated,and the transformation equation of λ multiple of area is got , the area change of plane figure under affine transformation in space is studied, a important property of three axis ellipsoid is given and proved.

探讨了空间场的仿射变换下平面图形的面积比，推导出λ倍积变换方程式，进而探讨了空间场的仿射变换下平面图形面积的变化规律，给出并证明了三轴椭球体的一个重要性质。

The nonlinear mapping is realized by modelling the Local Generative units in the input space and a Global Affine transformation in the feature space.

这个非线性映射是由在输入空间中建立局部生成单元模型并且在特征空间中构建全局仿射变换来实现的。

Tetrahedron can be formed with four sequence and non-coplanar points in space,and any points in it can be represented by barycentric coordinate system with space affine transform.

给定空间不共面的四个有序数据点，可以形成一个四面体。

This project uses natural elements such as wood, bamboo, rock, and sand as the main materials for creation. Technical materials and concepts rich in natural qualities are also used. Artworks are exhibited in the natural environment and public space around the Aigrette Down. They engage in a simple but unique dialogue with the natural landscape and elements of public space.

本案将以自然界的木、竹、石、沙子等材料为主要创作材料，或富涵自然质感的科技材质，或观念上的介入等，以鹭鸶草原周边自然环境与公共空间做为展览空间，让作品与单纯却又具有特色的大自然地景及公共空间元素做对话。

Has a very good absorption, lower noise performance, in addition to providing beautiful indoor decorative effect, the better for the user to provide a harmonious, quiet living space; with running the security characteristics of the elderly and children to provide a safe living space; in the air with dust jacket, clean-air role.

具有很好的吸收、降低噪音的性能，除了能为室内提供美观的装饰效果外，更能为使用者提供和谐、安静的是生活空间；具有行走安全的特点，能够为老人和小孩提供安全的生活空间；具有西服空气中的微尘，净化空气的作用。

Space environment threaten orbited spacecraft' s safe functioning and astronaut' s health, influence greatly communication depended on based-space way, airmanship orientation, military detection, aim identification, weather observation and source exploration and so on by all sorts of function (magnetic storm, solar proton event and so on).

空间环境通过各种效应(如磁暴、太阳质子事件等)对在轨航天器的安全运行及航天员的健康构成了严重的威胁，对依赖于天基手段的通信、导航定位、军事侦察、目标识别、气象观测、资源勘探等等均有重要影响。

Linear Algebra is mainly a subject which studies the linear structure of finite dimensional linear space and its linear transformation while linear concept is in itself from the old Euclid Geometry. The concept of "Linear Space" is a kind of algebraic abstract. In many fields of modern engineering project and technology, because of the influence of computer and graph showing, the algebraic disposal of geometric questions, the visual disposal of algebraic questions, algebra and geometry are tightly combined.

线性代数主要是研究有限维线性空间及其线性变换这一代数结构的学科，而线性概念究其根源则是来自古老的Euclid几何，线性空间概念是几何空间的一种代数抽象，在现代工程技术的许多领域里，由于计算机及图形显示的强大威力，几何问题的代数化处理，代数问题的可视化处理，把代数与几何更加紧密地结合在一起。

Determinants and their properties are also introduced. After review of the algebraic structure of the Euclidean space, the algebraic vector space then will be studied.

再复习欧几里德空间的一些代数性质与几何，然后学习向量空间与向量空间的性质。

In this paper, we have made a systemic theoretic research on modelling and reshaping several types of spline curves/surfaces in CAGD. And some creative productions are given as follows. At first, the uniform C-B-spline basis is proved to be a normalized totally positive basis, and can be extended to a normalized B-basis. C-B-spline and C-Bézier basis, similar to B-spline basis and Bézier basis in algebraic space, are two bases in algebraic trigonometric space.

本文围绕着CAGD中常用的几种曲线曲面造型和形状调整进行了深入的研究，主要获得了以下一些成果：首先，证明了代数三角空间中的n次均匀C-B-spline基是一组标准全正基，并进一步扩充为一组标准B基。C-B-spline基与C-Bézier基是多项式与三角混合空间中的两组基，是适应工程实践中设计特殊曲线曲面的需要而产生的，类似于多项式空间中的B-spline基与Bézier基，是CAGD中重要的造型工具。

For the sake of getting more economic or effective controllers, a mapping law is proposed that the sub-systems in a space are mapped algebraic equally into another space to reduce differences by optimal theory. No any restrictions are added to the controlled systems, and without need to solve coupled Lyapunove or Riccati equalities.

2考虑了各子系统之间的层次差异，提出了变换规则，通过代数等价变换将各子系统映射到另一空间，借助优化理论，消除各子系统之间的差异，从而获得更经济、更有效的控制器。

Through comparing with the results by simulation to study the effects of theprojectile"s final velocity, the angle of rotation and the ballistic trajectory"s migration withdifferent projectile"s rotating speeds, different target"s moving speeds and differentpenetration angles.

通过比较数值模拟的结果来研究不同弹头转速、目标速度、侵彻角对侵彻过程中弹头最终速度、翻转角度和弹道偏移的影响。

I love stationery and all the accoutrement of writing.

我爱文具以及所有的书写的工具装备。