Objective:The integration of training in theory and practice across the medical education spectrum is being encouraged to increase student understanding and skills in the sciences.This study aimed to determine the dec...Objective:The integration of training in theory and practice across the medical education spectrum is being encouraged to increase student understanding and skills in the sciences.This study aimed to determine the deciding factors that drive students'perceived advantages in class to improve precision education and the teaching model.Methods:A mixed strategy of an existing flipped classroom(FC)and a case-based learning(CBL)model was conducted in a medical morphology curriculum for 575 postgraduate students.The subjective learning evaluation of the individuals(learning time,engagement,study interest and concentration,and professional integration)was collected and analyzed after FC-CBL model learning.Results:The results from the general evaluation showed promising results of the medical morphology in the FC-CBL model.Students felt more engaged by instructors in person and benefited in terms of time-saving,flexible arrangements,and professional improvement.Our study contributed to the FC-CBL model in Research Design in postgraduate training in 4 categories:1)advancing a guideline of precision teaching according to individual characteristics;2)revealing whether a learning background is needed for a Research Design course to guide setting up a preliminary course;3)understanding the perceived advantages and their interfaces;and 4)barriers and/or improvement to implement the FC-CBL model in the Research Design class,such as a richer description of e-learning and hands-on practice.Conclusion:Undertaking a FC-CBL combined model could be a useful addition to pedagogy for medical morphology learning in postgraduate training.展开更多
Let A be a normal class of algebras. In the present paper, we characterize the following four problems for A: for which radical class R, there holds that(1) R(i1∧i2) = R(i1)∧R(i2);(2) R(i1∨i2) = R(i1)∨R(i2);(3) (i...Let A be a normal class of algebras. In the present paper, we characterize the following four problems for A: for which radical class R, there holds that(1) R(i1∧i2) = R(i1)∧R(i2);(2) R(i1∨i2) = R(i1)∨R(i2);(3) (i1∧i2) =i1∧i2;(4) (i1∨i2) = i1∨i2, for arbitrary algebra a∈A and any i1,i2∈La,where j denotes the ideal of a uniquely determined by R(a/j) = j/j?展开更多
This paper deals with the Neumann problem for a class of semilinear elliptic equations -△u + u =|u|2*-2u+ μ|u|q-2u in Ω, au/ar= |u|(?)*-2u on aΩ, where 2 = 2N/N-2, s=2(N-1)/N-2, 1 <q<2,N(?)3,μ>γ denotes...This paper deals with the Neumann problem for a class of semilinear elliptic equations -△u + u =|u|2*-2u+ μ|u|q-2u in Ω, au/ar= |u|(?)*-2u on aΩ, where 2 = 2N/N-2, s=2(N-1)/N-2, 1 <q<2,N(?)3,μ>γ denotes the unit outward normal to boundary aΩ. By vaxiational method and dual fountain theorem, the existence of infinitely many solutions with negative energy is proved.展开更多
The method of boundary layer with multiple scales and computer algebra were applied to study the asymptotic behavior of solution of boundary value problems for a class of system of nonlinear differential equations . T...The method of boundary layer with multiple scales and computer algebra were applied to study the asymptotic behavior of solution of boundary value problems for a class of system of nonlinear differential equations . The asymptotic expansions of solution were constructed. The remainders were estimated. And an example was analysed. It provides a new foreground for the application of the method of boundary layer with multiple scales .展开更多
In geology, classification and lithological recognition of rocks plays an important role in the area of oil and gas exploration, mineral exploration and geological analysis. In other fields of activity such as constru...In geology, classification and lithological recognition of rocks plays an important role in the area of oil and gas exploration, mineral exploration and geological analysis. In other fields of activity such as construction and decoration, this classification makes sense and fully plays its role. However, this classification is slow, approximate and subjective. Automatic classification curbs this subjectivity and fills this gap by offering methods that reflect human perception. We propose a new approach to rock classification based on direct-view images of rocks. The aim is to take advantage of feature extraction methods to estimate a rock dictionary. In this work, we have developed a classification method obtained by concatenating four (4) K-SVD variants into a single signature. This method is based on the K-SVD algorithm combined with four (4) feature extraction techniques: DCT, Gabor filters, D-ALBPCSF and G-ALBPCSF, resulting in the four (4) variants named K-Gabor, K-DCT, KD-ALBPCSF and KD-ALBPCSF respectively. In this work, we developed a classification method obtained by concatenating four (4) variants of K-SVD. The performance of our method was evaluated on the basis of performance indicators such as accuracy with other 96% success rate.展开更多
In this paper we shall introduce a class of new function spaces. They are generalizations of some Orlicz spaces and Orlicz-Sobolev spaces, and they are derived from the results of the investigation on imbedding relati...In this paper we shall introduce a class of new function spaces. They are generalizations of some Orlicz spaces and Orlicz-Sobolev spaces, and they are derived from the results of the investigation on imbedding relations between some Orlicz-Sobolev spaces.展开更多
In this paper, we will introduce the definition of a class of nonlinear functionals and some examples about it and then offer a theorem of the minimum about a class of nonlinear functionals on the close central ball i...In this paper, we will introduce the definition of a class of nonlinear functionals and some examples about it and then offer a theorem of the minimum about a class of nonlinear functionals on the close central ball in the metric linear space with 'β-degree circular homogeneous' metric.展开更多
Model theory is usually regarded as a comparatively abstract branch of mathematical logic. In this paper we will record, along the same line as what was done in [1], another one of our trials of finding new applicatio...Model theory is usually regarded as a comparatively abstract branch of mathematical logic. In this paper we will record, along the same line as what was done in [1], another one of our trials of finding new applications of model-theoretic conclusions to other branches of mathematics, Considering certain residue class rings of the ring I of展开更多
<正> Ⅰ.INTRODUCTION The initial value problem of degenerate equation as is well-known, has the so-called discrete phenomena in C~∞ If it is discussed in a class of analytic functions, then the initial value pr...<正> Ⅰ.INTRODUCTION The initial value problem of degenerate equation as is well-known, has the so-called discrete phenomena in C~∞ If it is discussed in a class of analytic functions, then the initial value problem has another strange phenomena, that is, the solution of the equation (p≠0) is determined entirely by only one initial value conditiont.This shows that the degenerate equation展开更多
The concept of probabilistic metric spaces was introduced by Menger in 1942.Based on the similar idea, the concept of random normed spaces (i. e. probabilistie linear normed spaces) was presented by Serstnev.Since the...The concept of probabilistic metric spaces was introduced by Menger in 1942.Based on the similar idea, the concept of random normed spaces (i. e. probabilistie linear normed spaces) was presented by Serstnev.Since then, Bocsan, Dumitrescu and You Zhaoyong et al. have been working in this field. In this paper, based upon the study of a class of probabilistic linear normed spaces: B-spaces, we study random operators, which can be used as one of new展开更多
In this paper, a class of strongly nonlinear singularly perturbed interior layer problems are considered by the theory of differential inequalities and the corrective theory of interior layer. The existence of solutio...In this paper, a class of strongly nonlinear singularly perturbed interior layer problems are considered by the theory of differential inequalities and the corrective theory of interior layer. The existence of solution is proved and the asymptotic behavior of solution for the boundary value problems are studied. And the satisfying result is obtained.展开更多
Consider a system of nonlinear wave equations (e)2t-c2i△xui=Fi(u,(e)u,(e)x(e)u) in (0,∞)×(R)3 for i=1,┈,m,where Fi(i=1,┈,m) are smooth functions of degree 2 near the origin of their arguments, and u=(u1,┈,um...Consider a system of nonlinear wave equations (e)2t-c2i△xui=Fi(u,(e)u,(e)x(e)u) in (0,∞)×(R)3 for i=1,┈,m,where Fi(i=1,┈,m) are smooth functions of degree 2 near the origin of their arguments, and u=(u1,┈,um),while (e)u and (e)x(e)u represent the first and (second derivatives of u, respectively. In this paper, the author presents a new class of nonlinearity for which the global existence of small solutions is ensured. For example, global existence of small solutions for((e)2t- c21Δx)u1 = u2((e)tu2) + arbitrary cubic terms,((e)2t - c22Δx)u2=u1((e)tu2) + ((e)tu1)u2 + arbitrary cubic termswill be established, provided that c21 ≠ c22.展开更多
k-HNBUE class and its dual were introduced by Basu and Ebrahimi [2]. In this paper wegive a generalized definition, and discuss their reliability bounds based on the known mean.
Applying projection pursuit (PP) techniques, this paper takes L-statistics as projectionindices to construct a class of statistics for multivariate tests. The asymptotic distributions ofthe test statistics under null ...Applying projection pursuit (PP) techniques, this paper takes L-statistics as projectionindices to construct a class of statistics for multivariate tests. The asymptotic distributions ofthe test statistics under null hypothesis are derived theoretically. Some simple applications tolocation and dispersion problems are given.展开更多
基金supported by grants from the Hunan Province Academic Degree and Graduate Education Reform Project(No.2020JGYB028)the National Natural Science Foundation of China(No.81971891,No.82172196,No.81772134)+1 种基金the Key Laboratory of Emergency and Trauma(Hainan Medical University)of the Ministry of Education(No.KLET-202108)the College Students'Innovation and Entrepreneurship Project(No.S20210026020013).
文摘Objective:The integration of training in theory and practice across the medical education spectrum is being encouraged to increase student understanding and skills in the sciences.This study aimed to determine the deciding factors that drive students'perceived advantages in class to improve precision education and the teaching model.Methods:A mixed strategy of an existing flipped classroom(FC)and a case-based learning(CBL)model was conducted in a medical morphology curriculum for 575 postgraduate students.The subjective learning evaluation of the individuals(learning time,engagement,study interest and concentration,and professional integration)was collected and analyzed after FC-CBL model learning.Results:The results from the general evaluation showed promising results of the medical morphology in the FC-CBL model.Students felt more engaged by instructors in person and benefited in terms of time-saving,flexible arrangements,and professional improvement.Our study contributed to the FC-CBL model in Research Design in postgraduate training in 4 categories:1)advancing a guideline of precision teaching according to individual characteristics;2)revealing whether a learning background is needed for a Research Design course to guide setting up a preliminary course;3)understanding the perceived advantages and their interfaces;and 4)barriers and/or improvement to implement the FC-CBL model in the Research Design class,such as a richer description of e-learning and hands-on practice.Conclusion:Undertaking a FC-CBL combined model could be a useful addition to pedagogy for medical morphology learning in postgraduate training.
基金The NSF (2024201051) of Liaoning Education Department.
文摘Let A be a normal class of algebras. In the present paper, we characterize the following four problems for A: for which radical class R, there holds that(1) R(i1∧i2) = R(i1)∧R(i2);(2) R(i1∨i2) = R(i1)∨R(i2);(3) (i1∧i2) =i1∧i2;(4) (i1∨i2) = i1∨i2, for arbitrary algebra a∈A and any i1,i2∈La,where j denotes the ideal of a uniquely determined by R(a/j) = j/j?
文摘This paper deals with the Neumann problem for a class of semilinear elliptic equations -△u + u =|u|2*-2u+ μ|u|q-2u in Ω, au/ar= |u|(?)*-2u on aΩ, where 2 = 2N/N-2, s=2(N-1)/N-2, 1 <q<2,N(?)3,μ>γ denotes the unit outward normal to boundary aΩ. By vaxiational method and dual fountain theorem, the existence of infinitely many solutions with negative energy is proved.
文摘The method of boundary layer with multiple scales and computer algebra were applied to study the asymptotic behavior of solution of boundary value problems for a class of system of nonlinear differential equations . The asymptotic expansions of solution were constructed. The remainders were estimated. And an example was analysed. It provides a new foreground for the application of the method of boundary layer with multiple scales .
文摘In geology, classification and lithological recognition of rocks plays an important role in the area of oil and gas exploration, mineral exploration and geological analysis. In other fields of activity such as construction and decoration, this classification makes sense and fully plays its role. However, this classification is slow, approximate and subjective. Automatic classification curbs this subjectivity and fills this gap by offering methods that reflect human perception. We propose a new approach to rock classification based on direct-view images of rocks. The aim is to take advantage of feature extraction methods to estimate a rock dictionary. In this work, we have developed a classification method obtained by concatenating four (4) K-SVD variants into a single signature. This method is based on the K-SVD algorithm combined with four (4) feature extraction techniques: DCT, Gabor filters, D-ALBPCSF and G-ALBPCSF, resulting in the four (4) variants named K-Gabor, K-DCT, KD-ALBPCSF and KD-ALBPCSF respectively. In this work, we developed a classification method obtained by concatenating four (4) variants of K-SVD. The performance of our method was evaluated on the basis of performance indicators such as accuracy with other 96% success rate.
文摘In this paper we shall introduce a class of new function spaces. They are generalizations of some Orlicz spaces and Orlicz-Sobolev spaces, and they are derived from the results of the investigation on imbedding relations between some Orlicz-Sobolev spaces.
文摘In this paper, we will introduce the definition of a class of nonlinear functionals and some examples about it and then offer a theorem of the minimum about a class of nonlinear functionals on the close central ball in the metric linear space with 'β-degree circular homogeneous' metric.
文摘Model theory is usually regarded as a comparatively abstract branch of mathematical logic. In this paper we will record, along the same line as what was done in [1], another one of our trials of finding new applications of model-theoretic conclusions to other branches of mathematics, Considering certain residue class rings of the ring I of
文摘<正> Ⅰ.INTRODUCTION The initial value problem of degenerate equation as is well-known, has the so-called discrete phenomena in C~∞ If it is discussed in a class of analytic functions, then the initial value problem has another strange phenomena, that is, the solution of the equation (p≠0) is determined entirely by only one initial value conditiont.This shows that the degenerate equation
文摘The concept of probabilistic metric spaces was introduced by Menger in 1942.Based on the similar idea, the concept of random normed spaces (i. e. probabilistie linear normed spaces) was presented by Serstnev.Since then, Bocsan, Dumitrescu and You Zhaoyong et al. have been working in this field. In this paper, based upon the study of a class of probabilistic linear normed spaces: B-spaces, we study random operators, which can be used as one of new
基金Supported by the National Natural Science Foundation of China(No.10071048)the Zhejiang Education Office(No.20030594)Huzhou Teachers College(No.200302).
文摘In this paper, a class of strongly nonlinear singularly perturbed interior layer problems are considered by the theory of differential inequalities and the corrective theory of interior layer. The existence of solution is proved and the asymptotic behavior of solution for the boundary value problems are studied. And the satisfying result is obtained.
文摘Consider a system of nonlinear wave equations (e)2t-c2i△xui=Fi(u,(e)u,(e)x(e)u) in (0,∞)×(R)3 for i=1,┈,m,where Fi(i=1,┈,m) are smooth functions of degree 2 near the origin of their arguments, and u=(u1,┈,um),while (e)u and (e)x(e)u represent the first and (second derivatives of u, respectively. In this paper, the author presents a new class of nonlinearity for which the global existence of small solutions is ensured. For example, global existence of small solutions for((e)2t- c21Δx)u1 = u2((e)tu2) + arbitrary cubic terms,((e)2t - c22Δx)u2=u1((e)tu2) + ((e)tu1)u2 + arbitrary cubic termswill be established, provided that c21 ≠ c22.
基金This research was supported by the National Natural Science Fund of China
文摘k-HNBUE class and its dual were introduced by Basu and Ebrahimi [2]. In this paper wegive a generalized definition, and discuss their reliability bounds based on the known mean.
基金This project is supported by the National Natural Science Foundation of China
文摘Applying projection pursuit (PP) techniques, this paper takes L-statistics as projectionindices to construct a class of statistics for multivariate tests. The asymptotic distributions ofthe test statistics under null hypothesis are derived theoretically. Some simple applications tolocation and dispersion problems are given.
