Reduced Q-matrix （Qr matrix） plays an important role in the rule space model （RSM） and the attribute hierarchy method （AHM）. Based on the attribute hierarchy, a valid/invalid item is defined. The judgment method...Reduced Q-matrix （Qr matrix） plays an important role in the rule space model （RSM） and the attribute hierarchy method （AHM）. Based on the attribute hierarchy, a valid/invalid item is defined. The judgment method of the valid/invalid item is developed on the relation between reachability matrix and valid items. And valid items are explained from the perspective of graph theory. An incremental augment algorithm for constructing Qr matrix is proposed based on the idea of incremental forward regression, and its validity is theoretically considered. Results of empirical tests are given in order to compare the performance of the incremental augment algo-rithm and the Tatsuoka algorithm upon the running time. Empirical evidence shows that the algorithm outper-forms the Tatsuoka algorithm, and the analysis of the two algorithms also show linear growth with respect to the number of valid items. Mathematical models with 10 attributes are built for the two algorithms by the linear regression analysis.展开更多
In this paper, we investigate the growth of transcendental entire solutionsof the following algebraic differential equation a(z)f'~2 +(b_2(z)f^2 +b_1(z)f +b_0(z))f'=d_3(z)f^3+d_2(z)f^2 +d_1(z)f +d_0(z), where ...In this paper, we investigate the growth of transcendental entire solutionsof the following algebraic differential equation a(z)f'~2 +(b_2(z)f^2 +b_1(z)f +b_0(z))f'=d_3(z)f^3+d_2(z)f^2 +d_1(z)f +d_0(z), where a(z), b_i(z) (0<- i <=2) and d_j (z) (0<=j<= 3) are allpolynomials, and this equation relates closely to the following well-known algebraic differentialequation C(z,w)w'~2 + B(z,w)w' + A(z,w) =0, where G(z,w)not ident to 0, B(z,w) and A(z,w) are threepolynomials in z and w. We give relationships between the growth of entire solutions and the degreesof the above three polynomials in detail.展开更多
This study theoretically showed the importance of standards economic growth to apply creative projects to avoid loss cost and efforts. There is problem of complexity environment to understand real economic growth. Com...This study theoretically showed the importance of standards economic growth to apply creative projects to avoid loss cost and efforts. There is problem of complexity environment to understand real economic growth. Companies and government can affect economic. There is a need to make standards to control steps of economic growth as result to accounting gaps, economic gaps, and financial analysis gaps. Standards must face negative affection of speculation, government involving in economic, developing tool. Evaluating must be built up to real market price and also standards must build trust to support developing. Searcher recommended linking economic growth with real growth of producing and ways to get real market price to evaluate company assets, liabilities, and net profit after tax for all users as factors show growth in company to growth economic units which are successful by applying creative projects.展开更多
Sudan is among those developing countries characterized by high incidence of poverty in spite of its prodigious resource endowments. Sudan government has continued to introduce programmes aiming at alleviation of pove...Sudan is among those developing countries characterized by high incidence of poverty in spite of its prodigious resource endowments. Sudan government has continued to introduce programmes aiming at alleviation of poverty which were generally characterized by a lack of effectiveness. The traditional approach towards poverty reduction centered on national development programmes designed to enhance economic growth and improve standards of living. In addition, the Islamic institution of Zakat was utilized to help poor families start income-generating projects. However, recently, a more ambitious poverty-focused microcredit programme was laid forth. Thus, billions of dollars were earmarked for microcredit to help the poor obtain investible resources which can be directed towards starting income-generating projects. This paper argues that today, there is no shortage of funds earmarked for microfinance in Sudan. But the prevailing institutional inadequacies would not allow such substantial outlays to have much impact on poverty reduction. This paper reviews the history of microcredit and microfinance in the country, highlights the roles of different institutions in provision of microcredit, attempts to figure out its possible policy outputs, and finally makes some suggestions to overcome the evident shortcomings.展开更多
This paper generalizes the basic principle of multiplier-enlargement approach to approximating any nonbounded continuous functions with positive linear operators, and as an example, Bernstein polynomial operators are ...This paper generalizes the basic principle of multiplier-enlargement approach to approximating any nonbounded continuous functions with positive linear operators, and as an example, Bernstein polynomial operators are analysed and studied. This paper gives a certain theorem as a general rule to approximate any nonbounded continuous functions.展开更多
This paper introduces a generic eigenvalue flow of a parameter family of operators, where the corresponding eigenfunction is continuous in parameters. Then the author applies the result to the study of polynomial grow...This paper introduces a generic eigenvalue flow of a parameter family of operators, where the corresponding eigenfunction is continuous in parameters. Then the author applies the result to the study of polynomial growth L-harmonic functions. Under the assumption that the operator has some weakly conic structures at infinity which is not necessarily unique, a Harnack type uniform growth estimate is obtained.展开更多
We consider the quasilinear Schrdinger equations of the form-ε~2？u ＋ V（x）u- ε~2？（u2）u = g（u）, x ∈ R^N,where ε 〉 0 is a small parameter, the nonlinearity g（u） ∈ C^1（R） is an odd function with subcrit...We consider the quasilinear Schrdinger equations of the form-ε~2？u ＋ V（x）u- ε~2？（u2）u = g（u）, x ∈ R^N,where ε 〉 0 is a small parameter, the nonlinearity g（u） ∈ C^1（R） is an odd function with subcritical growth and V（x） is a positive Hlder continuous function which is bounded from below, away from zero, and infΛV（x） 0 such that for all ε∈（0, ε0],the above mentioned problem possesses a sign-changing solution uε which exhibits concentration profile around the local minimum point of V（x） as ε→ 0~＋.展开更多
基金Supported by the National Natural Science Foundation of China (30860084,60673014,60263005)the Backbone Young Teachers Foundation of Fujian Normal University(2008100244)the Department of Education Foundation of Fujian Province (ZA09047)~~
文摘Reduced Q-matrix （Qr matrix） plays an important role in the rule space model （RSM） and the attribute hierarchy method （AHM）. Based on the attribute hierarchy, a valid/invalid item is defined. The judgment method of the valid/invalid item is developed on the relation between reachability matrix and valid items. And valid items are explained from the perspective of graph theory. An incremental augment algorithm for constructing Qr matrix is proposed based on the idea of incremental forward regression, and its validity is theoretically considered. Results of empirical tests are given in order to compare the performance of the incremental augment algo-rithm and the Tatsuoka algorithm upon the running time. Empirical evidence shows that the algorithm outper-forms the Tatsuoka algorithm, and the analysis of the two algorithms also show linear growth with respect to the number of valid items. Mathematical models with 10 attributes are built for the two algorithms by the linear regression analysis.
文摘In this paper, we investigate the growth of transcendental entire solutionsof the following algebraic differential equation a(z)f'~2 +(b_2(z)f^2 +b_1(z)f +b_0(z))f'=d_3(z)f^3+d_2(z)f^2 +d_1(z)f +d_0(z), where a(z), b_i(z) (0<- i <=2) and d_j (z) (0<=j<= 3) are allpolynomials, and this equation relates closely to the following well-known algebraic differentialequation C(z,w)w'~2 + B(z,w)w' + A(z,w) =0, where G(z,w)not ident to 0, B(z,w) and A(z,w) are threepolynomials in z and w. We give relationships between the growth of entire solutions and the degreesof the above three polynomials in detail.
文摘This study theoretically showed the importance of standards economic growth to apply creative projects to avoid loss cost and efforts. There is problem of complexity environment to understand real economic growth. Companies and government can affect economic. There is a need to make standards to control steps of economic growth as result to accounting gaps, economic gaps, and financial analysis gaps. Standards must face negative affection of speculation, government involving in economic, developing tool. Evaluating must be built up to real market price and also standards must build trust to support developing. Searcher recommended linking economic growth with real growth of producing and ways to get real market price to evaluate company assets, liabilities, and net profit after tax for all users as factors show growth in company to growth economic units which are successful by applying creative projects.
文摘Sudan is among those developing countries characterized by high incidence of poverty in spite of its prodigious resource endowments. Sudan government has continued to introduce programmes aiming at alleviation of poverty which were generally characterized by a lack of effectiveness. The traditional approach towards poverty reduction centered on national development programmes designed to enhance economic growth and improve standards of living. In addition, the Islamic institution of Zakat was utilized to help poor families start income-generating projects. However, recently, a more ambitious poverty-focused microcredit programme was laid forth. Thus, billions of dollars were earmarked for microcredit to help the poor obtain investible resources which can be directed towards starting income-generating projects. This paper argues that today, there is no shortage of funds earmarked for microfinance in Sudan. But the prevailing institutional inadequacies would not allow such substantial outlays to have much impact on poverty reduction. This paper reviews the history of microcredit and microfinance in the country, highlights the roles of different institutions in provision of microcredit, attempts to figure out its possible policy outputs, and finally makes some suggestions to overcome the evident shortcomings.
文摘This paper generalizes the basic principle of multiplier-enlargement approach to approximating any nonbounded continuous functions with positive linear operators, and as an example, Bernstein polynomial operators are analysed and studied. This paper gives a certain theorem as a general rule to approximate any nonbounded continuous functions.
文摘This paper introduces a generic eigenvalue flow of a parameter family of operators, where the corresponding eigenfunction is continuous in parameters. Then the author applies the result to the study of polynomial growth L-harmonic functions. Under the assumption that the operator has some weakly conic structures at infinity which is not necessarily unique, a Harnack type uniform growth estimate is obtained.
基金supported by National Natural Science Foundation of China(Grant Nos.11371160 and 11328101)the Program for Changjiang Scholars and Innovative Research Team in University(Grant No.#IRT13066)
文摘We consider the quasilinear Schrdinger equations of the form-ε~2？u ＋ V（x）u- ε~2？（u2）u = g（u）, x ∈ R^N,where ε 〉 0 is a small parameter, the nonlinearity g（u） ∈ C^1（R） is an odd function with subcritical growth and V（x） is a positive Hlder continuous function which is bounded from below, away from zero, and infΛV（x） 0 such that for all ε∈（0, ε0],the above mentioned problem possesses a sign-changing solution uε which exhibits concentration profile around the local minimum point of V（x） as ε→ 0~＋.
