线性空间的半单的线性变换的讨论
线性代数是代数学的一个分支，它以矩阵理论为中心，以与矩阵结合的有限维向量空间即线性空间和线性变换的理论为对象的一门科学。由于它的简便，所以在数学和物理的各种不同分支的应用中具有特殊的地位．此外它特别适用于电子计算机的计算，所以它在数值分析与运筹学中占有重要地位。线性空间是线性代数最主要的研究对象、最基本的概念之一．它体现了代数学中研究其他代数结构的基本思路．而线性变换是线性空间中最简单而又最基本的变换，它是线性空间的主要研究对象之一，对于研讨线性空间中向量之间的内在联系及线性空间的结构起着重要的作用．特别是半单的线性变换，对研究李代数的结构、存在与分类，起到重要作用．
线性空间与线性变换，以及与此相联系的矩阵理论，是线性代数的中心内容．本文通过利用线性空间的基本性质、线性映射、线性变换、矩阵理论的知识，对线性变换的一些性质进行证明，推论和计算．从而得到一些解决问题的方法和技巧．
网上直接用工具翻译的我也用过了 根本读不通啊 希望哪个高手能帮忙
楼上的可能是通过翻译软件翻译的。借用一下，尽管如此，有些专业术语还是翻译不好的，还是要楼主自己在查询相关资料。
线性空间的半单的线性变换的讨论
The discuss about the 半单的 linear transformation of linear space
线性代数是代数学的一个分支，它以矩阵理论为中心，以与矩阵结合的有限维向量空间即线性空间和线性变换的理论为对象的一门科学。
The linear algebra as a branch of mathematics is the science , which takes matrix theories as center and limited dimension vector space combining with matrix ,namely the theories of the linear space and linear transformation, as the object.
由于它的简便，所以在数学和物理的各种不同分支的应用中具有特殊的地位．
Because of its simplicity, the linear algebra has a special position in the application of various different branch of the mathematics and physics.
此外它特别适用于电子计算机的计算，所以它在数值分析与运筹学中占有重要地位。
In addition, it is especially applicable to the calculation of computer, so it occupies an important position in the data analysis operational research.
线性空间是线性代数最主要的研究对象、最基本的概念之一．
The line space is one of the most main research object and the most essential concepts of linear algebra .
它体现了代数学中研究其他代数结构的基本思路．
It incarnates the basic thinking of studying other algebra structure in algebra.
而线性变换是线性空间中最简单而又最基本的变换，它是线性空间的主要研究对象之一，对于研讨线性空间中向量之间的内在联系及线性空间的结构起着重要的作用．特别是半单的线性变换，对研究李代数的结构、存在与分类，起到重要作用．
And the linear transformation is the most simple the most basic tranformation in linear space,it is one of the main research objests of linear space. It plays an important part in studying and discussing inner connection of vectors in linear space.Especially 半单的linear transformation plays very important role in studying structure,existence and clasification of Lee's algebraic.
线性空间与线性变换，以及与此相联系的矩阵理论，是线性代数的中心内容．
Linear space and linear transformation, and matrix theory connecting with them, is a central content of linear algebra.
本文通过利用线性空间的基本性质、线性映射、线性变换、矩阵理论的知识，对线性变换的一些性质进行证明，推论和计算．从而得到一些解决问题的方法和技巧．
Some nature of linear tranformation is proved deduced and calculated through the knowledge of basic essentiality,linear map and tranformationand matrix theory in the article.Then we will find some problem-solving techniques and skills.
还好，总算翻译完成了，只有“半单的”这个太专业的词没翻译出来，不过，楼上的那个翻译的已经很到位了，我基本就参照了他的翻译。不知道是通过什么方式翻译出来的。
线性空间的半单的线性变换的讨论
The discuss about the 半单的 linear transformation of linear space
线性代数是代数学的一个分支，它以矩阵理论为中心，以与矩阵结合的有限维向量空间即线性空间和线性变换的理论为对象的一门科学。
The linear algebra as a branch of mathematics is the science , which takes matrix theories as center and limited dimension vector space combining with matrix ,namely the theories of the linear space and linear transformation, as the object.
由于它的简便，所以在数学和物理的各种不同分支的应用中具有特殊的地位．
Because of its simplicity, the linear algebra has a special position in the application of various different branch of the mathematics and physics.
此外它特别适用于电子计算机的计算，所以它在数值分析与运筹学中占有重要地位。
In addition, it is especially applicable to the calculation of computer, so it occupies an important position in the data analysis operational research.
线性空间是线性代数最主要的研究对象、最基本的概念之一．
The line space is one of the most main research object and the most essential concepts of linear algebra .
它体现了代数学中研究其他代数结构的基本思路．
It incarnates the basic thinking of studying other algebra structure in algebra.
而线性变换是线性空间中最简单而又最基本的变换，它是线性空间的主要研究对象之一，对于研讨线性空间中向量之间的内在联系及线性空间的结构起着重要的作用．特别是半单的线性变换，对研究李代数的结构、存在与分类，起到重要作用．
And the linear transformation is the most simple the most basic tranformation in linear space,it is one of the main research objests of linear space. It plays an important part in studying and discussing inner connection of vectors in linear space.Especially 半单的linear transformation plays very important role in studying structure,existence and clasification of Lee's algebraic.
线性空间与线性变换，以及与此相联系的矩阵理论，是线性代数的中心内容．
Linear space and linear transformation, and matrix theory connecting with them, is a central content of linear algebra.
本文通过利用线性空间的基本性质、线性映射、线性变换、矩阵理论的知识，对线性变换的一些性质进行证明，推论和计算．从而得到一些解决问题的方法和技巧．
Some nature of linear tranformation is proved deduced and calculated through the knowledge of basic essentiality,linear map and tranformationand matrix theory in the article.Then we will find some problem-solving techniques and skills.
还好，总算翻译完成了，只有“半单的”这个太专业的词没翻译出来，不过，楼上的那个翻译的已经很到位了，我基本就参照了他的翻译。不知道是通过什么方式翻译出来的。
温馨提示：答案为网友推荐，仅供参考
第1个回答 2007-05-10
The line discussing of transformation of the half list of line space
The linear algebra is an a branch of mathematics, it takes matrix theories as center, with combine with matrix of limited vector space namely the theories of the line space and line transformation for a science of object.Because its simple, so have a special position in the application of various different branch of mathematics and the physics.in addition it is specially applicable to the calculation of computer, so it occupies an important position in the number the analysis learn with strategy.The line space is one of the research object, the most basic concepts of linear algebra most. its body now the algebra learn medium study other algebras structural basic way of thinking.but line the transformation is a line space in most simple but again the most basic transformation, it is a line spatial of one of the main research objects, for study and discuss line the of vector in the space of inside contact and line space of the structure have important function.especially half list of line transformation, there is important function to the structure, existence and classification of research Lee's algebra.
The line space and line transformation, and and this matrix theories that contact mutually, is the center contents of linear algebra.this text pass to make use of line the basic property, line of the space to reflect to shoot, line transformation, matrix theories of knowledge, carry on certificate, inference and calculation to some properties of line transformation.get some problem-solving methods and technique thus.
The linear algebra is an a branch of mathematics, it takes matrix theories as center, with combine with matrix of limited vector space namely the theories of the line space and line transformation for a science of object.Because its simple, so have a special position in the application of various different branch of mathematics and the physics.in addition it is specially applicable to the calculation of computer, so it occupies an important position in the number the analysis learn with strategy.The line space is one of the research object, the most basic concepts of linear algebra most. its body now the algebra learn medium study other algebras structural basic way of thinking.but line the transformation is a line space in most simple but again the most basic transformation, it is a line spatial of one of the main research objects, for study and discuss line the of vector in the space of inside contact and line space of the structure have important function.especially half list of line transformation, there is important function to the structure, existence and classification of research Lee's algebra.
The line space and line transformation, and and this matrix theories that contact mutually, is the center contents of linear algebra.this text pass to make use of line the basic property, line of the space to reflect to shoot, line transformation, matrix theories of knowledge, carry on certificate, inference and calculation to some properties of line transformation.get some problem-solving methods and technique thus.
第2个回答 2007-05-10
Linear space of a single semi-linear transformation of linear algebra behalf of a branch of mathematics, which is matrix theory, combined with the matrix to the finite-dimensional vector space that is linear space and linear theory to transform the object of a science. Because of its simple, the mathematics and physics of the different branches of the application of the special status. In addition, it is particularly applicable to the calculation of the electronic computer, so it is in numerical analysis and operations research, which holds an important position. Linear space of linear algebra main object of study, one of the most basic concepts. It is the expression of mathematical research on behalf of other algebraic structure of the basic ideas. And linear transformation of linear space is the most simple and fundamental transformation, it is linear space of one of the main targets, For seminar linear vector space the intrinsic link between space and linear structure play an important role. Special semi-alone linear transformation, the study Lie algebra structure, the existence and classification play an important role. Linear space and linear transformation, and this is linked to the matrix theory, linear algebra is a central element. By using linear space of the basic nature of the linear mapping, linear transformation matrix theory of knowledge, linear transformation of the nature of evidence, argument and calculation. Thus some problem-solving techniques and skills.
