查询词典 analytic geometry

By using theory of distance geometry and analytic method, the problem on relations about the volumes of some simplices is studied, and some new inequalities for the volumes of simplices are established.

应用距离几何理论与解析方法，研究了一些单形体积之间的关系，建立了关于单形体积的一些新的不等式，作为其特例，获得垂足单形体积的一个不等式和单形的其他一些不等式。

Immanuel Kant argued that there is only one, absolute , geometry, which is known to be true a priori by an inner faculty of mind: Euclidean geometry was synthetic a priori .

康德认为，只有一个，绝对的，几何，这是众所周知的事实的先验的内在系铭记：欧几里德几何是合成先验。

The application problems mainly focus on how to solve triangle, acute triangle function, equation, inequation, function and its image, the three-dimensional image of a solid; while such knowledge as, plane geometry, solid geometry, operation of number and equation, trigonometric function equation, permutation and combination, ordered series of numbers sum, probability has no application problems.

4高中物理学习中存在运用困难的数学知识主要有函数及其图像、解三角形、锐角三角函数、方程、不等式、求函数极值、几何体的三视图等，然而，平面几何、立体几何知识、数与式的运算、三角函数公式、排列组合、数列求和、概率等知识基本没有运用困难。

The first part of the book is concerned with rings and modules, matrices over a ring, affine geometry and projective geometry over a Bezout domain.

内容包括：基本概念，群表示的特徵标，点群的表示，群代数与对称群的表示，有限群的实表示与复表示，有限群表示在群论中某些应用和有限群的模表示等。

Sphere;; affine geometry;; similarity geometry;; motion of surface;; integrable equation

论文导师屈长征，论文学位硕士，论文专业应用数学

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。

The paper applies algebraic geometry, computational geometry, approximation theory to study the following problems: the Nother type theory and the Riemann-Roch type theory of the piecewise algebraic curve; the number of real intersection points of piecewise algebraic curves; the real piecewise algebraic variety and the B-net resultant of polynomials.

本文应用代数几何，计算几何，函数逼近论等学科的基本理论，分别就分片代数曲线的Nother型与Riemann-Roch型定理；分片代数曲线的实交点数；实分片代数簇以及多项式的B-网结式进行研究。

One has its origin in algebraic geometry, whereas the other one comes from differential geometry.

借助于它们上面的Hermitian度量我们可以定义两个模空间：一个联系着代数几何；一个联系着微分几何。

The author also makes a distinction between the role of algebra in analytical geometry and that in Descartes'Geometry.

澄清了以往认为代数在解析几何中的作用与在笛卡儿《几何学》中的作用相一致的观点。

And linking the principle of choosing computer visual inspection system hardware, the paper constructs hardware structure of visual inspection system, and develops measure software of thread geometry parameter and applies all above research results to quantificationally measure geometry parameters such as half angle of thread, coning and pitch of conical joint screw thread of graphite electrode, at last educes influencing expressions of the shelter of lead angle to half angle of thread change, it establishes theory base for error amendment.

论述了微小零件尺寸及形状误差的常用测量方法，提出了将视觉检测技术应用到微小零件尺寸及形状误差的测量中，构建了视觉检测系统的硬件结构，开发了相应的测量软件，应用第三章介绍的各种边缘检测方法对传动用滚子链链板进行了边缘检测对比实验，找出适合的边缘检测方法，并应用上述各章的研究结果对传动用滚子链链板节距以及圆形零件的圆度误差进行了测量。

Pradeep Indulkar, a senior official at the Maharashtra state Home Ministry say 101 human were killed and 287 injured.

马哈拉施特拉邦内政部高级官员Pradeep Indulkar称，有101人在冲突中丧生，287人受伤。

Mark Frei, a senior vice president of West, says 80% of West's homeagents have some college education, compared with 30% of those whowork in office-based call centers.

Frei说，该公司80%在家办公的人员都拥有本科学位，而在公司电话中心工作的人中只有30%拥有本科学位。