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Necessary and sufficient condition of C^0 flows on closed surfaces with isolated singular points having the pseudo-orbit tracing property

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Chinese Science Bulletin 1997年第3期42卷 259-260页

作者： mai jiehua and GU Rongbao1.Institute of Mathematics, Shantou University, Shantou 515063, China 2. Department of Mathematics, Anhui University, Hefei 230039, China Institute of Mathematics Shantou University Shantou China Department of Mathematics Anhui University Hefei China

IN this letter we discuss the necessary and sufficient condition of C^0 flows on closed surfaces with isolated singular points having the pseudo-orbit tracing property. According to ref. [1], on a closed surface, every minimal set of a C^r(r≥2) flow is trivial, but it is possible for a C^0 flow to contain non-trivial minimal sets. Thus C^0 flows on closed surfaces are more complicated than C^r(r≥2) flows.

关键词： Necessary and sufficient condition of C^0 flows on closed surfaces with isolated singular points having the pseudo-orbit tracing property

A Characteristic of Cantor Sets

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柳州师专学报 2013年第1期28卷 108-110页

作者：麦结华汕头大学理学院数学系

It is well known that a totally disconnected compact metric space without isolated points is a Cantor *** this note me give a simple proof of this theorem.

关键词：摘要编辑部编辑工作读者

THE BANDWIDTH OF THE PRODUCT OF TWO F-TYPE CONDENSED GRAPHS

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Chinese Science Bulletin 1984年第12期29卷 1575-1578页

作者：麦结华 Guangxi University Nanning

In this note, the bandwidth of the product of two Γ-type condensed graphs is obtained, and the relevant conclusions in Refs. [2—6] are generalized since the path, the cycle and the complete graph are the three kinds... 详细信息

关键词： condensed cycle bandwidth conclusions integers ordinary 万妞 verify vertex 落口

CHARACTERISTICS OF SOME SELF-HOMEOMORPHISMS ON PLANES AND SPHERES WHICH CAN BE EMBEDDED IN FLOWS

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Science in China,Ser.A 1985年第9期 897-906页

作者：麦结华 Department of Mathematics Guangxi University Nanning

In this paper, we give some sufficient and necessary conditions for the self-homeo-morphisms on bands and cylinders topologically conjugate to a translation. In addition, we simplify the method of the proof of a theorem for self-homeomorphisms on planes established by E. Sperner, and describe some characteristics of self-homeomorphisms topologically conjugate to situation similarity transformations on planes or the standard movements on spheres.

关键词： CHARACTERISTICS OF SOME SELF-HOMEOMORPHISMS ON PLANES AND SPHERES WHICH CAN BE EMBEDDED IN FLOWS

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函数迭代序列的收敛模式

广西财经学院学报 2022年第6期35卷 117-132页

作者：麦结华广西财经学院信息与统计学院广西南宁530003

论了形状3种类型的值得关注的收敛数列:自然数的负方幂序列,等比数列,以及超等比数列。本文证明,对于实数域上广泛的一类实值函数,包括所有的解析函数和绝大部分常见的可微函数,所有的收敛于某一不动点的函数迭代序列都严格地相似于这3... 详细信息

论了形状3种类型的值得关注的收敛数列:自然数的负方幂序列,等比数列,以及超等比数列。本文证明,对于实数域上广泛的一类实值函数,包括所有的解析函数和绝大部分常见的可微函数,所有的收敛于某一不动点的函数迭代序列都严格地相似于这3类数列之一。

关键词：极限收敛速度收敛模式自然数的负方幂序列等比序列超等比数列

一个通过信息的隐秘传输而得到解决的数学问题

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广西财经学院学报 2019年第4期32卷 137-144页

作者：麦结华广西财经学院信息与统计学院

考官C从区间[2,99]中选出两个整数n和m,将这两个数的和p=n+m与积q=n×m的数值分别告诉参加测试的智者B与智者A。C要求B与A说出n与m是多少,但不能将自己知道的p与q的值告诉对方。结果,在B与A说了不知道n与m的值之后,通过分析推理,B与A知... 详细信息

考官C从区间[2,99]中选出两个整数n和m,将这两个数的和p=n+m与积q=n×m的数值分别告诉参加测试的智者B与智者A。C要求B与A说出n与m是多少,但不能将自己知道的p与q的值告诉对方。结果,在B与A说了不知道n与m的值之后,通过分析推理,B与A知道并说出了n与m的数值。这个例子说明,对于某些特殊的数学问题,即使只是简单地回答"知道"或者"不知道",也有可能传送出一些有用的信息。

关键词： 2-分解 2-分拆乘积可逆的2-分拆