几何和

词组短语

geometric sum

与几何和相关的网络例句 [注：此内容来源于网络，仅供参考]

Quantity and space both play a role in analytic geometry , differential geometry , and algebraic geometry .

数量和空间在解析几何，微分几何和代数几何中都发挥作用。

With respect to syntax, the roles of tagmeme in the structure of word and sentence and Chomsky's Generative-Transformational Grammar are discussed. The spatial relation theory and existing research achievements are investigated. Having noticed the shortage of the capability of topological and metrical relation in the description of spatial information structure, the author proposes Combinational Qualitative Geometry based on the two invariables under ordinary transformations, distance ratio and direction difference, the CQG-based spatial relation system between topological and metrical constraint is thus constructed, on which several spatial relations such as parallel, perpendicularity, co-linearity, sequence and direct neighborhood are derived. Based on extended theory of spatial relation, the language anamorphosis is analyzed from the aspects of phonetics, semantics and syntax. The mere geometric and formalized spatial relation is then integrated with concrete geographic ontology to accommodate richer and indicative spatial configuration of spatial information in the different geographic context. Finally a syntax framework for spatial information is put forward.

在语法结构方面，首先阐述了法位和法素在语法结构词法和句法中的地位和作用，以及Chomsky生成转换语法的核心内容；详细介绍了地理信息系统空间关系理论及现有的研究成果；在分析现有的拓扑关系和量度关系对空间信息结构描述能力不足的基础上，提出了基于长度比和角度差两个不变量的组合定性几何，以此建立了介于拓扑及量度约束之间的组合定性关系体系，并以此为基础派生出平行、垂直、共线、次序、直接邻近等空间关系描述；本文基于扩展的空间关系理论，详细讨论了空间关系在语音、语法和语义三个方面的语言变体，将纯几何和纯形式化的空间关系与具体的地理本体结合起来，可以获得更为丰富的、更能反映空间关系在不同语言上下文中具体体现的组合关系；最后给出了一个空间信息的语法结构的基本框架。

High-level features including corners, doors and openings are identified and extracted which is the base for metric-topological map building.

在先验几何地图的基础上，本文讨论墙角、房门和通路等高级环境特征的辨识和提取，依据几何和拓扑环境模型实现几何—拓扑混合地图的构建。

Their application of convex body and geometry probability is the important theory in integral geometry and convex geometry, One can study the geometric invariants and geometric probability and other issues.

它们在凸体和几何概率中的应用是积分几何和凸几何的重要理论，通过它们可以研究几何不变量和几何概率等相关问题。

Based on the theory of gearing and differential geometry, a series of geometric relationships between conjugate tooth surfaces are analyzed, basic relationships of normal curvature as well as geodesic torsion between conjugate tooth surfaces are derived mathematically for the most general form of gearing.

基于微分几何和齿轮啮合理论，分析了共轭啮合齿面间的一系列几何关系，从而揭示了两个作空间共轭啮合运动的齿面之间的法曲率、短程挠率的内在几何联系。作为上述理论的具体应用，研究了准双曲面齿轮传动两齿面之间在给定参考点处的法曲率、短程挠率的关系

This theory system will pour into the new vigor to the integral geometry and the geometry probability, provides the new theory basis for the integral geometry and the geometry probability.

这一套崭新的理论系统将对积分几何和几何概率注入新的活力，为积分几何及几何概率提供新的理论依据。

Parametrization is a crucial problem in computer graphics,computer aided geometric design and digital geometric processing.

三角网格的参数化是对三角网格的几何和拓扑信息作进一步处理的基础，它在计算机图形学、计算机辅助几何设计和数字几何处理等领域有着广泛的应用。

ABSTRACT This dissertation is devoted to studying the numerical methods for the forced Birkhoff systems with general symplectic geometric structure or Poisson bracket, including higher dimensional Birkhoff systems with multi-symplectic structure.

这篇文章着重研究一般辛结构下受到外力作用的Birkhoff系统的几何结构和几何算法，包括定义高维Birkhoff系统的概念，和研究它的多辛几何和多辛变分积分子。

Therefore in the teaching students should be made to actuallyfeel that spherical geometry knowledge can be used to solve or explainsome real problems in both life and production, to reach the relatedconclusions about spherical geometry by comparing it with Euclideangeometry, and to have anidea of some non-Euclidean geometry models aswell as differences between flat geomtry models and spherical geometry ones.

是为对数学有兴趣和希望进一步提高数学素养的学生而设置，重点是培养学生空间想像和几何直观能力，教学中应使学生切实地感受到利用球面上的几何知识可以解决生活或生产中的一些实际问题；让学生通过欧氏几何和球面几何的类比，得到球面上的几何的相关结论；使学生了解一些非欧几何模型，从而思考平面几何模型与球面上的几何等非欧几何模型的差异。

A method of the surface combination based on classification or Euler Operation and the computation of the surface boundaries of a surface is offered to finish the geometry mapping of surfaces between half-edge model and the closed_shell branch of manifold surface model. Moreover, the concepts of conformal-shape geometrical mapping and topological mapping are given. The bi-directional conformal-shape topological mapping between half-edge model and the closed_shell branch of manifold surface model is proved.

提出了一种基于等价分类和欧拉操作的面片合成和曲面边界计算方法，完成了半边模型到流形曲面模型closed shell枝的曲面几何映射；给出了保形几何和保形拓扑映射概念，证明了半边模型到流形曲面模型的closed_shell分枝的双向保形拓扑映射。

与几何和相关的网络解释 [注：此内容来源于网络，仅供参考]

Algebraic Geometry：代数几何

数量和空间在解析几何(analytic geometry)、微分几何(differential geometry)和代数几何(algebraic geometry)中非常重要. 理解和描述(understanding and describing)变化是自然科学的主题. 微积分是这方面的一个重要工具.

Euclidean geometry：欧几里德几何

"分形几何是一个'尘世'的几何学,与欧几里德几何(Euclidean Geometry)不同,它繁荣兴旺于粗糙和非对称性. 客观物体在几个完美和对称的形式上是不变的,可它却是无限复杂的. 你越接近地观察分形,就能揭示出越多的细节来.

fractal geometry：分形几何

例如常见的随机最优控制,分形几何(fractal geometry) ,混沌(chaos theory) . .4. 导言:金融,金融学,微观金融学和金融数学伪)手段和证据. 综上所述,我们大体上可以认为:金融学的这些分支学科(数理金融和金融计量经济 学除外)所考察的金融现象发生在不同的层次之上,

geometric optics：几何光学

如美国的Arizona大学就设置了6学分的几何光学(Geometric Optics)和6学分的物理光学(Wave Optics)课程,Rochester大学设置了各4学分的几何光学和物理光学课程.

geometric simplex：几何单形

geometric series 几何级数 | geometric simplex 几何单形 | geometric sum 几何和

geometric sum：几何和

geometric simplex 几何单形 | geometric sum 几何和 | geometrical element 几何元素

geometrical element：几何元素

geometric sum 几何和 | geometrical element 几何元素 | geometrical locus 几何轨迹

hyperbolic geometry：双曲几何

我觉得在双曲几何中还是用"角亏"(shortfall)的概念比较好,这样就与Johann Lambert的公式保持了一致:>>我们理当也多说几句关于椭圆几何的问题,因为它和双曲几何(Hyperbolic Geometry)一样是non-Euclidean Geometry,

Publish Geometry：(发布几何

和别的数据共享方式有点不一样,Publish Geometry是在要共享数据的零件内进行发布的,一个发布几何(publish geometry)特征实际就是在零件内部预先把准备输出的几何和基准打包,将来在需要的时候直接复制这个几何包便可以完成一个数据传递的过程.

tensor field：张量场

在数学,物理和工程上,张量场(tensor field)是一个的非常一般化的几何变量的概念. 它被用在微分几何和流形的理论中,在代数几何中,在广义相对论中,在材料的应力和应变的分析中,和在物理科学和工程的无数应用中. 它是向量场的想法的一般化,