矩阵的各种标准形研究 下载本文

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玉林师范学院本科生毕业论文

反例在数学证明中的运用

Study about the Kind of Matrix Standard Form Question

院 系 专 业 学 生 班 级 姓 名 学 号

指导教师单位 指导教师姓名 指导教师职称

数学与信息科学学院 数学与应用数学 2010级1班

201004401137

数学与信息科学学院

副教授

反例在数学证明中的运用

数学与应用数学2010级1班 梁玉漫

指导老师 钟镇权

注:此页为封二。不编页号。页面边距:左3.00cm,其他2.50cm。摘要正文小四、宋体 摘要

数学与应用数学专业本科生撰写学位论文应当符合写作规范和排版格式的要求.以下格式为依据国家标准和行业规范所编制的学士学位论文格式模板,供我系毕业生参照使用.理工科论文句号一律用实心圆点.

摘要部分说明:

“摘要”是摘要部分的标题,不可省略.

标题“摘要”可选“标题1+四号”或手动设置成字体:黑体,居中,字号:四号,1.5倍行距,段前为0,段后11磅.

论文摘要是学位论文的缩影,文字要简练、明确。内容要包括目的、方法、结果和结论。单位制一律换算成国际标准计量单位制,除特别情况外,数字一律用阿拉伯数码。文中不允许出现插图.

摘要正文选用模板中的样式所定义的“正文”,每段落首行缩进2个汉字;或者手动设置成每段落首行缩进2个汉字,字体:宋体,字号:小四,行距:多倍行距1.25,间距:前段、后段均为0行,取消网格对齐选项.

摘要篇幅以一页为限,字数为300-500字.

摘要正文后,列出3-5个关键词。“关键词:”是关键词部分的引导,不可省略。关键词请尽量用《汉语主题词表》等词表提供的规范词.

关键词与摘要之间空一行.关键词词间用逗号间隔,末尾不加标点,3-5个,黑体,小四.

关键词:矩阵,等价标准形,相似标准形,合同标准形

注:字体:宋体,小四;关键词之间用逗号间隔。

Study about the Kind of Matrix Standard Form Question 此页为封Mathematics and Applied Mathematics 2007-2 Chen Xiaotingn 注:三。与中文摘Supervisor Su Derong

Abstract

要对应。不编页号。 Study about the question of matrix not only is the foundation of studying classical mathematics, also is useful value for the mathematics theory. It is not only an important branch of mathematics, also already become the powerful tool of processing massive question in the modern science and technology .Specially, computer has been used, which is opened the broad prospect for studying about the question of matrix. But the standard form of matrix has very important status whether in the theory or in the application.

This article takes standard form of matrix as research object, starting from equal normal form, according to characteristic nature and qualitative, draws about two kind of different standard forms----similar standard form and contract standard form. What is more , sums up these two kinds of standard form convergence point as the solid symmetrical matrix standard form, through many examples, make every standard form expresses itself clearly, also causes the relation between them clearer. In the end , sums up the relation of several standard forms. Make us to understand the problem more profound.

Key words: matrix, equal standard form, similar standard form, contract standard form