This paper gives and proofs a theorem, for any matrix A, do elementary column operations, change it to a matrix which is partitioned to two blocks which left one is column full rank and right one is zero matrix. That ...This paper gives and proofs a theorem, for any matrix A, do elementary column operations, change it to a matrix which is partitioned to two blocks which left one is column full rank and right one is zero matrix. That is, use a invertible matrix P to let AP = （B,O）, O is zero matrix with n-r columns, r and n is rank and column number of A, so the P＇s right n-r columns is just the basis of the null space of the matrix A. On the basis of the theorem, lots of problems of linear algebra can be resolved and lots of theorems can be proofed by elementary column operations. Perhaps the textbooks used in universities will have a lot of change with the result of the paper. This result is first found by author in 2010.12.8 in http：//www.paper.edu.cn/index.php/default/releasepaper/content/201012-232, but is not formal published.展开更多
In the context of constructing national public cultural demonstration areas all over China and taking the system innovation history of Baoji as an example,this paper studies the path choices and service system design ...In the context of constructing national public cultural demonstration areas all over China and taking the system innovation history of Baoji as an example,this paper studies the path choices and service system design of the development of service system of public libraries in the western region of China.The results show that the key issue the China public library service system is facing is to promote system innovation;the 'chain system and grassroots sites of libraries' is a new synthesized innovative program on public library service system in accordance with the actual situations of Baoji area and other areas in the western region of China;the service system design of local public libraries should insist on seeking truth from facts,and carrying out an integrated,simple and feasible reform according to local conditions.展开更多
文摘This paper gives and proofs a theorem, for any matrix A, do elementary column operations, change it to a matrix which is partitioned to two blocks which left one is column full rank and right one is zero matrix. That is, use a invertible matrix P to let AP = （B,O）, O is zero matrix with n-r columns, r and n is rank and column number of A, so the P＇s right n-r columns is just the basis of the null space of the matrix A. On the basis of the theorem, lots of problems of linear algebra can be resolved and lots of theorems can be proofed by elementary column operations. Perhaps the textbooks used in universities will have a lot of change with the result of the paper. This result is first found by author in 2010.12.8 in http：//www.paper.edu.cn/index.php/default/releasepaper/content/201012-232, but is not formal published.
基金a periodical research achievement of"Research on the Construction of the System of Main-branch Public Libraries(Sites)"(No.38,Baoji Official Announcement in 2011),which is a project of system design of Baoji creating a demonstration area of national public cultural service system"Research of Free Access to Public Libraries in Shaanxi Province in the Perspective of Public Cultural Space"(No.2012C019),which is a research project of major issues in theory and practice of the circle of social sciences in Shaanxi Province"Research of the Construction of Library Union in Xi’an City"(No.12WL26),which is a project of the fund of planning of social sciences in Xi’an City
文摘In the context of constructing national public cultural demonstration areas all over China and taking the system innovation history of Baoji as an example,this paper studies the path choices and service system design of the development of service system of public libraries in the western region of China.The results show that the key issue the China public library service system is facing is to promote system innovation;the 'chain system and grassroots sites of libraries' is a new synthesized innovative program on public library service system in accordance with the actual situations of Baoji area and other areas in the western region of China;the service system design of local public libraries should insist on seeking truth from facts,and carrying out an integrated,simple and feasible reform according to local conditions.
