数学基础

关于数学基础诸流派的研究与评论（Ⅱ）

Exposition of the schools in the field of foundations of mathematics (ⅱ)

无限的概念与数学基础

The concept of infinity and the foundations of mathematics

GIS中多边形图拓扑信息生成的数学基础

The basis for generation of topologic information of polygons in GIS

Neural网络中的数学基础

Mathematics Base Used in Neural Network

对一类优化问题&背包问题（0-1KnapsackProblem）的求解过程进行了分析，得到了不变决策变量集合，为化简对问题求解的算法奠定了数学基础。

To analyze result process of 0-1 knapsack problem ( a kind of optimization problem ), obtained the set of immovability decision-making variables . So , establish the mathematics foundation for being simple the algorithm to solve the problem .

基于GPS信标观测数据重建电离层电子密度的时变三维电离层层析问题的数学基础，在简化电离层电子密度随时间变化的条件下，导出了三维平行束层析重建公式。

This paper illuminates the mathematical foundation of time-dependent three-dimensional computerized ionospheric tomography ( CIT ) for reconstructing ionospheric electron density ( Ne ) from ground-based GPS beacon measurements .

本动态密码接入认证系统的数学基础是AES和RSA两种著名的加密算法，它们具有良好的反破解能力。

The math base of the identity authentication system is AES and RSA encryption arithmetic which have strong anti-cracking ability .

研究了电磁层析成像技术的数学基础，分析了雷登变换（RadonTransform）原理，并对雷登变换的正问题和逆问题进行仿真分析；

The basis of Electromagnetic Tomography technology was studied , according to the simulation results of Radon Transform and inverse radon transform , some images were studied .

本文探讨SPM的数学基础，给出了，SPM中利用一般线性模型（generallinearmodel，GLM）构建统计参数图的方法；

In this essay , the mathematical principles of SPM are discussed and the method that constructed statistical parametric maps using general linear model is given .

EDA中的数学基础都是基于线性代数发展而来的，矩阵运算又是线性代数中非常重要的基本算法。

The Mathematic basis of EDA system is linear algebra . And matrix calculation is the basic algorithm in linear algebra .

本文回顾了模糊的产生，分析了模糊的研究现状及未来的趋势，介绍了模糊系统稳定性分析，介绍了模糊控制的数学基础，并较详细地分析了T-S模糊PID控制器的原理。

This paper looks back the development of the fuzzy controller and analyzes the current situation and developing trend on the study of the fuzzy control .

正是这样具有严格数学基础的关系模型，才使得在PAR方法中加入数据库管理操作机制成为可能。

Just because of the strict mathematic basis of relational model , Adding database manipulation mechanism to PAR method is possible and suitable .

回顾了并联机构位置正反解研究的数学基础，研究了2-DOF和3-DOF球面并联机构位置正反解问题；

The forward and inverse position problems of the 2-DOF and 3-DOF parallel spherical mechanism are studied .

指出PET、SPECT、OCT、UCT等的图像重建的数学基础与CT同宗同脉：而MRI是独宗。

It is also pointed out that the mathematical foundation of PET , SPECT , OCT , UCT are of the same clan , except the MRI .

Cramér将Lundberg的工作建立在坚实的数学基础上，形成了经典风险理论的基本理论。

Cram é r developed Lundberg ' work based on the mathematics , and formed the base theory of the classical risk theory .

本文继文献（1）之后，在合成逻辑这一数学基础上，再次探讨函数式程序设计（FP）语言的语义学。

Following and being based on the mathematical foundation of the combinatory logic this paper discusses once more the semantics of the functional programming ( FP ) language .

该文将最小信息损失（MIL）状态估计理论应用到拓扑错误辨识中，提出了具有严格数学基础的MIL拓扑检错新方法。

In the paper , a novel minimum information loss ( MIL ) based method with rigorous mathematic foundation for topology error identification is presented .

文章描述了代数几何与ECC的数学基础，讨论了椭圆曲线离散对数困难性问题及ECC在电子商务中的安全应用。

This paper describes the mathematics base of algebraic geometry and ECC . This paper also discusses the Elliptic curve discrete logarithm problem ( ECDLP ) and the security applications of ECC on E_commerce .

在实现和验证阶段，本文研究了AES算法的数学基础、数学原理、算法流程以及算法安全性问题，并分别以标准C语言和VHDL语言完成了硬件身份认证双方的系统设计和实现。

In the implementation and validation phases , we study the mathematical theory of AES , its algorithms , its processes and its security issues . Then , we complete the designs of each size of the HW-authentication system in standard C language and VHDL language .

论文简述了如何在OPENGL中读入和显示3ds文件中的模型，并着重阐述通过鼠标拖动对其进行自由旋转的数学基础和编程实现的方法。

In this paper the authors outline how to read and display models of 3ds format files in OpenGL , and expatiate upon the mathematical foundation and programming methods on how to rotate the model at will .

Petri网作为系统模型，由于其严密的数学基础和图形建模能力，被广泛应用在分布式软件系统等离散事件动态系统（DEDS）的建模与分析中。

As system model , Petri net has rigorous math foundation and graphics modeling ability , it be widely applied to modeling and analysis of disperse event dynamic system ( DEDS ), such as distributional software system , and so on .

为此，Spitz（1991年）提出了一种t-x域道内插方法可以很有效地克服空间假频，其数学基础是单位步长预测滤波技术。

Therefor , Spitz ( 1991 ) presented a trace interpolation approach in t x domain to conquer spatial alias , and its mathematical elementary is unit step prediction filtering technique .

新的基于Voronoi图的NaturalNeighbour插值是自然单元法的数学基础，也是一种新型的几何插值方法，具有与其他传统常用插值不同的构造方法，并表现出一定的优越性。

The Natural Neighbour interpolation based on Voronoi Diagram is the mathematical base of Natural Element Method ( NEM ), it is a new geometric interpolation method and to be constructed by a special procedure differences from traditional method , meanwhile it possesses some advantages .

MI-ESPRIT算法不需要任何已知的训练序列和循环前缀符号，是一种盲的方法。最后，对常用的阵列天线OFDM系统的波束形成算法做了综述。介绍了平行因子技术的数学基础。

And the MI-ESPRIT algorithm does not need any training symbol and cyclic prefix , so it has blind characteristics . Finally , the thesis summarizes the conventional beamforming algorithms of OFDM system with array antennas and gives an introduction on the basic mathematic knowledge of the parallel factor .

建立了计算机辅助公差设计的数学基础。

This paper establishes the mathematic basis of computer aided tolerancing .

论经济数学基础课程的分级教学

The Discussion of Teaching in Grades for Economic Mathematics Basic Course

成人经济数学基础课教学探索

Teaching Adult 's Course of " Economic Mathematics Foundation "

像素图数学基础变换方法研究

A Research on the Method of Mathematic Basic Transformation of Raster Map

为矿井风流非稳定的分析提供了数学基础。

It may supply the mathematical basis for analysis of mine ventilation .

《经济数学基础》课程的适应性教学初探

Economical Mathematics Foundation the curriculum compatible at the beginning of teaching searches