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数学
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  the mathematics
     Situation and Reform of the Mathematics Analysis Teaching
     《数学分析》课程教学现状与教学改革
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     This paper clarifies the main content of the Mathematics Experiment-a systematically reformed course for 21st-century engineering students, discusses its teaching method, and reveals the significance of this course.
     本文针对面向21世纪工科数学教学内容和课程体系的改革产物---《数学实验》,结合我校实际情况,以及我在该课程的具体教学过程中的体会,初步探讨该课程开设的意义、教学内容和教学方法。
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     The Course Arrangement of “Mathematic Experiment”in the Mathematics Major of Open Education
     开放教育数学专业《数学实验》课程设置
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     The inquiry-based learning has been advocated in the Mathematics Curriculum standards.
     《数学课程标准》已明确将探究学习作为一种重要的数学学习方式加以提倡.
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     The Teaching Pattern of the Mathematics Teaching Theory According as the New Course Standard
     试论在高师《数学教学论》教学过程中渗透新课程理念
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  “《数学”译为未确定词的双语例句
     Statistic Analysis of Thesis and Authors of 1989-1998's Maths Journal
     《数学学报》1989─1998年论文及作者统计分析
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     The Cartan invariant matrix for the finite group of Lie type G 2(5) over a five element field F 5 is computed in this note by using the same method as in Ye Jiachen's paper"The Cartan invariants for the group SL (3, p n )".
     利用叶家琛 1982年发表在《数学研究与评论》上的论文《SL(3,pn)的Cartan不变量》的方法 ,给出了 5个元素的有限域F5上李型有限群G2 (5 )的Cartan不变量矩阵
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     Analysis in Teaching and Exam of Maths Analysis
     新形势下《数学分析》课程教考点分析
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     The paper analyzes the characteristics of continuous positive odd numbers which interact as prime numbers with 3,5,and7,the odd prime factors of 210. And then the paper solves Number 1488 Problem published in the 4th issue of Maths Bulletin in 2004. The paper delves further into some properties of interprime relation between three, four or five continuous positive odd numbers and positive integer 210 as well.
     通过分析与数3、5、7(210的奇质因数)互质的连续正奇数的特征,解决了《数学通报》2004年第4期刊登的1488号问题,并进一步探讨了三个、四个或五个连续正奇数与正整数210之间的互质关系的一些性质。
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     Development and Trend of Studies in Mathematics Education in China
     我国数学教育研究的发展与趋势——《数学教育学报》创刊13年引文定量分析
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  相似匹配句对
     Fun with Math
     数学游戏
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     Mathematics and Beautifulness
     数学与美
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     Confucius, “ Essay” and Mathematics
     孔子·论语》和数学
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  the mathematics
Also, the mathematics mechanization method can be extended to solve other mechanism problems involving nonlinear equations symbolically.
      
General yearly meeting of the mathematics division of the Academy of Sciences of the USSR
      
Jubilee session of the Mathematics Division of the Academy of Sciences USSR
      
Reports presented at the General Session of the Mathematics Section of the Academy of Sciences of the USSR
      
Reports presented at the General Session of the Mathematics Section of the Academy of Sciences of the USSR
      
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Two types of optimalizing control systems are analyzed and compared under random interferences. By means of approximation, the expectation values of hunting loss are calculated.

本文利用近似法求出两种极值調节系統在随机干扰影响下搜索損耗的数学期望,因而可以在具体条件下比較两种調节器的优缺点。在正态平稳随机干扰下,相关搜索法对較强的輸入端干扰是适宜的;反之,在較弱的輸入端干扰时,一般步进搜索法比較有利。計算結果也給出了在各种干扰强度下步进法的最佳步长及相关法的最佳搜索信号振幅,这些都是調节器的重要参数。

The differential equation for relaxation oscillation with external impressed e.m.f. is written as

张弛振动之代表算式为一非直线的二次微分方程式在数学上至今未获完全解答颇耳氏(Van der Pol)曾以半解算半作图之方法研究强弛振动,但共方法仅能用於无外加控制电压之情形下故控制影响未能解说本文叙述用罗勃氏(A.A.Bobb)作图方法解析张弛振动之问题,自由振动与控制振动均可应用文中叙明通常之起始条件如何不适宜於作图及如何试设一边界条件而得正确之结果用此方法张弛振动之普通特性与频率减倍之现象,均能解说控制波与强弛振动波之相的关系,亦曾加以讨论所设对称的三次抛物线形之振动特性,未能完满解释偶谐控制波之控制功效

A newly developed synthesis of X-ray data for crystal analysis, called the point diagram synthesis, is compared with the classical Fouriers. The fundamental assumption in the method s first explained. A correlation matrix of index 10 is then quoted. Some mathematical properties of the correlation matrices, that is, the absolute convergence, and the h and μ-summation rules are described and illustrated. The method is next applied in parallel with the Fouriers to an arbitrary structure along with its two component...

A newly developed synthesis of X-ray data for crystal analysis, called the point diagram synthesis, is compared with the classical Fouriers. The fundamental assumption in the method s first explained. A correlation matrix of index 10 is then quoted. Some mathematical properties of the correlation matrices, that is, the absolute convergence, and the h and μ-summation rules are described and illustrated. The method is next applied in parallel with the Fouriers to an arbitrary structure along with its two component structures. The crystal NaCl is next studied, using the actual experimental data. It is shown that on the basis of exactly the same experimental data the inormation given by the two types of syntheses are entirely different. Conclusions about the method drawn in the previous articles are then discussed in the light of the new studies and approved once more.

作者曾在英国自然界发表渠所建立之棋式X光综合新法之大意。一时引起欧美同行兴趣及讨论。其中有表兴趣者,有对此新法是否比通用之符礼式综合法更为有用致疑。本文即将新旧二法应用於自然及理想晶体。比较其结果之优劣。此外并对新法之三种数学特性加以介绍。

 
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