查询词典 combinatorial geometry

This dominant view was overturned by the revolutionary discovery of non-Euclidean geometry in the works of Gauss, Bolyai , and Lobachevsky , who demonstrated that ordinary Euclidean space is only one possibility for development of geometry.

这主要观点被推翻革命发现非欧几里德几何的作品高斯，波尔约和罗巴切夫斯基，谁表明，普通的欧氏空间只有一个发展的可能性几何。

The discovery in the mid-nineteenth century of non-Euclidean geometry meant that philosophers were forced to reassess the status of Euclidean geometry which had previously been regarded as the shinning example of certain knowledge of the world.

在19世纪中叶的非欧几里得几何意味着哲学家被迫重新评估欧几里德几何了曾被作为世界上某些知识灿烂如发现视为地位。

It also introduces the discrete ordinates couple-solving method (DOT-BSTP-DOT) which uses the half-symmetric angular quadratures for core geometry and the quadratic S〓 biasing angular quadratures for duct geometry. Calibrations for several types of duct are carried out and the schemes of XPR epithermal neutron filter are successfully designed. The other international popular code ANISN is also exploited and modified.

本论文首先开发、修改了其它国际通用屏蔽计算程序DOT/4.2和MCNP/4B，编制了边界源转换程序BSTP，首次建立深穿透屏蔽计算的临界源方向偏倚与指数变换相结合的蒙特卡罗耦合抽样方法，以及堆芯几何采用半对称求积基、孔道几何采用二阶S〓偏向求积基的离散坐标耦合求解法（DOT-BSTP-DOT），并对不同孔道进行了数值校算，成功地得到了西安脉冲堆超热中子过滤器的设计方案。

The dissertation details the functions and characteristic of curves graph element, polygon graph element, character graph element, dimension graph element, parameter graph element, self-define graph element, and research comprehensively the methods describe and graph element attrib. After discussing the basic graph element collection, this thesis gives the description method, organization way, graph element visitation, save and load efficiency, suitability and so on of every element in the basic graph element collection in greater detail. The author provides a graph element data structure organized version which is length changeable and is a block storage record, and designs a new module of data, which can process both the geometry attrib and no geometry attrib of drawing element. Based on this, the data model of all kind of element is put forward.

对采矿CAD系统中基本图元集的构造原则和组织方法进行了研究，提出了一个7元素采矿CAD基本图元集构造方案；论文详细讨论了曲线图元、字符图元、尺寸标注图元、多边形图元、参数图元、自定义图元在采矿CAD系统中的作用和特点，并对各种图元的表述方法和图元属性及相应的库组织方式、存取效率进行了深入的研究，提出了一个&可变长记录块&图元库结构组织方案；通过对采矿CAD系统中基本图元数据模型的构造方法、存取结构和访问方式的研究，给出了一个用C++语言描述的采矿CAD系统基本图元数据模型及其数据存取结构。

It is embodied in the three research programs of modern physics:(1) According to the program of geometrization of physics, the essence of the Curved Space in gravitational field needs to be explicated by Riemannian geometry, differential geometry, tensor analysis;(2)According to the program of quantum field theory, the generation and annihilation operator can represen...

它分别体现在现代物理学的三大研究纲领中：(1)根据物理学的几何化纲领，引力场弯曲空间的奥秘需要通过黎曼几何、微分几何与张量分析来解读；(2)根据量子场论纲领，场理论的&产生和湮灭&算符，能方便而精确地表征和重构相关的微观作用机制；&场的本体论&和&生成辩证法&同时得到体现。

The classical Abel identity as specific case and some significative combinatorial identities are obtained.

由此得到Abel恒等式的特殊情形和一些很有意义的组合恒等式。

Based on this, to the recent years the related questions which appear frequently in the middle school mathematics competition, nimble utilization the aliquot concept, the relative prime nature, the combinatorial nature, the factorization, as well as the conclusion of the continual integer product nimbly can by aliquot knowledge and the methods, and so on, carried on the proof and the explanation.

在此基础上，对近年来在中学数学竞赛中频繁出现的相关问题，灵活运用整除概念、互素性质、组合性质、因式分解以及个连续整数的乘积能被整除的结论等知识和方法，来进行证明与解答。

In addition,simulated annealing algorithm for solving the combinatorial optimization problem is also given.

此外，还给出了求解该组合优化问题的模拟退火算法。

In the last section, we obtain a sufficient and necessary condition for an antichain to be the set of all circuits of a combinatorial scheme.

在最后一节，我们得到了组合概型的一个反链是其所有圈集的充分必要条件。

As in Volume 2, where I found to my delight that the basic principles of elementary probability theory and number theory arose naturally in the study of algorithms for random number generation and arithmetic, I learned while preparing Section 7.2.1 that the basic principles of elementary combinatorics arise naturally and in a highly motivated way when we study algorithms for combinatorial generation.

如同在第二卷中那样，在那里我高兴地发现，初等概率论和数论的基本原理很自然地出现在关于随机数生成和算术的算法的研究中。而当我准备编写7.2.1小节时，我注意到，当我们研究组合生成的算法时，初等组合学的基本原理自然地并以高度带激励的方式出现。

Who? I never heard of him, Paul said, before asking teammate James Posey if he had heard of him.

赛后，科比说，他一直都是一名非常出色的射手，今天他打得很棒。

When I joined the company, I rotated around the different sections.

我加入这个公司时，轮换过几个不同的部门。