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This paper extends an application named “EAider” on student affairs management, including academic affairs and non-academic affairs. It breaks the traditional way of thinking and applies the latest technologies to manage the collection and distribution of students' information. Moreover, it integrates multiple functions and eases the load of instructors and teachers. The application features in its...
Currently, the statistical capacity of the grassroots statisticians is not good enough. And their statistical report would be consulted by the local governments and institutions to make some major decisions, so their statistical capacity needs to be improved urgently. In this paper, some common formulas and algorithms are introduced to train the grassroots statisticians effectively, such as fitting...
First, the paper gives the definition of the strongly row (column) full rank matrix, the quasi-upper triangular matrix and the quasi-lower triangular matrix of the m × n matrix. Then the triangular factorization is generalized to the m × n matrix, and some factorization theorems are obtained. By using the triangular factorization, the linear equations with strongly row (column) full rank coefficient...
Using the cutting circle method to calculate the value of π was firstly proposed by the Chinese mathematician Liu Hui in Three Kingdoms Era, around the third century AD. Two hundred years later, the Northern and Southern mathematician Zu got a comparative accurate approximation of π by using this method. This paper analyzed Liu Hui's cutting circle method and pointed out that...
The definition of n-order complete four angles problem and n-order incomplete four angles problem are introduced firstly, and then the solving methods of odd and even order incomplete four angles problem are presented respectively. Furthermore, the corresponding computer algorithm of the methods is given to computer this kind of problem conveniently and effectively. Finally, three numerical examples...
The algorithm and computer realization of quadratic spline interpolation are studied in this paper. Based on the analysis of the interpolation conditions, the quadratic spline interpolation is classified into four categories according to the different boundary conditions. Then each kind of quadratic spline interpolation is solved by using differential and integral method, and the corresponding algorithm...
Gauss - Seidel method is commonly used in solving general linear equations, and there are several known results about the convergence of it. In this paper, the necessary and sufficient conditions of the convergence are presented, which are needed and useful in solving general Tri-diagonal equations by using Gauss - Seidel method. Then the computer algorithm of solving general Tri-diagonal equations...
The QR decomposition of matrix is an especial tool for matrix calculation, although its decomposition process is very complex. Some specified n-1 components of the n-dimensional nonzero vector x need to be transformed into zeros by using householder transformation many times. Or a special kind of given transformation would be used repeatedly to transform one specified component of the vector x into...
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