闭域

有界闭域上ODE方程初值唯一解的延拓定理

Continuation theorem of the initial value unique solution of the Ode on the bounded closed domain

设计了可实时计算的高斯图闭域包含测试算法，通过引入二分法改造多项式包含测试代数算法，实现快速查找。

We designed the algorithm which can perform the closed domain inclusion test in real time , realized quick search in the algebraic inclusion test algorithm by transforming polynomials with dichotomy .

这一算法依赖于Hilbert第17问题的一系列经典研究结果以及实闭域上量词消去的柱形代数剖分算法。

The algorithm is based on a series of research results of Hilbert 17th problem and Cylindrical Algebraic Decomposition .

采用FDTD与射线追踪相结合的方法详细地研究和分析了典型闭域空间中漏缆的辐射特性，提出了具体的理论分析与计算方法及技术解决方案。

The radiation characteristics of LCX in the representative confined zones are studied using the hybrid method of FDTD and ray-tracing , and the material analyzing method and solution scheme are presented .

由Gabriel定理，代数闭域上基的，连通的有限维结合代数A同构于一个由连通有限箭图Q确定的路代数的商代数。

From the famous Gabriel 's theorem , a basic connected finite dimensional associative algebra A over an algebraically closed field can be looked as a quotient of a path algebra decided by a connected finite quiver Q.

自由曲面高斯图中最小闭域计算

Computing Smallest Closed Area in the Free-form Surface 's Gauss Map

闭域上矩阵代数的交换子空间的另一特征

Another characteristic of the commutator space of matrix algebra over a closed field

设A是代数闭域上的有限维遗传代数，A（1）是A的重复代数。

Assume A is a finite dimensional hereditary algebra over an algebraically closed field .

一类简单闭域的包含测试算法设计

Design of an Algorithm for Point-in-closed Region Test

确定曲面闭域形体边界数据结构的一种新方法

New method to determine boundary data structure of shape with closed curved - surface domain

闭域空间泄漏同轴电缆和单极天线辐射场的比较

Comparison of the radiated field between leaky coaxial cable and monopole antenna in the blind zone

在特征数0的代数闭域上半单纯代数群的上同调群

The Cohomology of Semi - simple Algebraic Groups Over an Algebraically Closed Field of Characteristic O

研究了代数闭域上三维交换代数的分类。

In this paper , we discuss the classification of3-dimensionally commutative algebras on algebraically closed field .

适用于闭域或半闭域空间无线通信用泄漏电缆研究

Research of leaky coaxial cable using for radio communication in the blind or semi - blind Zone

用于闭域空间无线通信的泄漏同轴电缆的电气特性研究

Research on Electrical Characteristics of Leaky Coaxial Cable ( LCX ) Used for Radio Communication in Confined Areas

在计算实践中，处理大型多项式时，由于复杂性原因，实闭域一阶理论判定方法实际上无效。

The conventional methods do not work in practice when dealing with large polynomials because of their high complexity .

第一章中，我们研究了剩余域是代数闭域的离散赋值环上的完全分次代数；

In the first chapter , we discuss the fully graded algebras over discrete valuation ring with an algebraically closed residue field of characteristic p.

基于点与简单闭域的拓扑关系，重新定义了穿越边界，设计了点与简单闭域关系判断的算法。

Based on topologic relation of point and simple closed region , an algorithm is presented to do the inclusion test for simple closed region .

最后分别介绍了漏缆在地铁、公路隧道、建筑物等闭域空间中的具体应用，比较了天线辐射和漏缆辐射的覆盖性能差异，提出了利用漏缆实现无线通信的方案。

Finally , it introduces the concrete applications of LCX in confined areas such as subways , highway tunnels and buildings respectively , compares the difference of the coverage performance of antenna radiation and LCX radiation and proposes the schemes to achieve radio communication .

引入了泄漏电缆辐射方向、辐射损耗、传输损耗等主要特性参数的基础理论公式和数学模型，为闭域或半闭域空间实现双工无隙通信提供了一种行之有效的理论和实现方案。

Fundamental theory formulas and a mathematic model involving chief characteristic parameters such as radiating direction , radiating loss , transmitting loss of LCX are introduced , and an effective theory and fulfilling scheme for achieving duplex continuous communication in the blind or semi-blind zone are provided .

以有线通信理论、无线通信理论及天线理论为核心理论体系，对适用于闭域或半闭域空间实现双工无隙通信用泄漏电缆的基本理论体系和可行性进行了定性和定量的分析与研究。

Taking the theories of wire communication , radio communication and antennas as the core theory system , the basic theory system and feasibility of leaky coaxial cable ( LCX ) used for duplex continuous communication in the blind or semi-blind zone qualitatively and quantitatively are analyzed .

自由曲面的高斯图计算中，需要对由抛物线和直线段组成的闭域进行包含检测来判断该闭域是否为最小闭域，抛物线段由逼近折线多边形表示且单调。

While computing Gauss map of free-form surface , it is necessary for point-in-closed region test of a closed region composed of line segments and parabola segments to judge whether the closed region is the single-connected region , which parabola segment is approximated by piecewise-linears and is monotone .

半闭无界域上ODE方程初值解的整体存在性

The entire existence of initial value solution of the ode equation in half closed infinite region

但闭于合集域的数字图像，却很难得到准确解果。

Although this problem has exact solution for continuous images , in the case of digital images , it is ill posed .

闭算子半&Fredholm域的结构

Structure of semi - Fredholm domains for closed operators

第三，基于繁单联解闭解规则剖析方式，树立企业信做化败生度模型闭键域及闭键实践。

Third , the analysis method based on association rules , establish enterprise information maturity model key Area .