Purpose:To contribute to the study of networks and graphs.Design/methodology/approach:We apply standard mathematical thinking.Findings:We show that the distance distribution in an undirected network Lorenz majorizes t...Purpose:To contribute to the study of networks and graphs.Design/methodology/approach:We apply standard mathematical thinking.Findings:We show that the distance distribution in an undirected network Lorenz majorizes the one of a chain.As a consequence,the average and median distances in any such network are smaller than or equal to those of a chain.Research limitations:We restricted our investigations to undirected,unweighted networks.Practical implications:We are convinced that these results are useful in the study of small worlds and the so-called six degrees of separation property.Originality/value:To the best of our knowledge our research contains new network results,especially those related to frequencies of distances.展开更多
In this paper, we introduce new subclasses Sp,q,^mj,l λ[A,B;γ]and Hp,q,λ^m,j,l（α,β）of certain p-valent analytic functions defined by a generalized differential operator. Majorizationproperties for functions bel...In this paper, we introduce new subclasses Sp,q,^mj,l λ[A,B;γ]and Hp,q,λ^m,j,l（α,β）of certain p-valent analytic functions defined by a generalized differential operator. Majorizationproperties for functions belonging to the classes Sp,q,^mj,l λ[A,B;γ]and Hp,q,λ^m,j,l（α,β）are investigated. Also, we point out some new or known consequences of our main results.展开更多
In this article, we study several majorizaton properties for the subclasses SL~*,SR~*(a, b), BS~*(α), S_c~*, S_q~* and S_R~* of starlike functions. Meanwhile, some special cases of our main results are given.
In the present paper, we investigate the majorization property for certain new class of multivalent meromorphic analytic functions defined by Salagean operator. Moreover, we point out some new and interesting applicat...In the present paper, we investigate the majorization property for certain new class of multivalent meromorphic analytic functions defined by Salagean operator. Moreover, we point out some new and interesting applications of our main result to the other classes of multivalent meromorphic functions.展开更多
Quantum coherence is a relevant resource for various quantum information processing tasks,but it is fragile since it is generally affected by environmental noise.This is reflected in the loss of purity of the system,w...Quantum coherence is a relevant resource for various quantum information processing tasks,but it is fragile since it is generally affected by environmental noise.This is reflected in the loss of purity of the system,which in turn limits the amount of quantum coherence of it.As a consequence,a complementarity relation between coherence and mixedness arises.Previous works characterize this complementarity through inequalities between theℓ1-norm of coherence and linear entropy,and between the relative entropy of coherence and von Neumann entropy.However,coherence-mixedness complementarity is expected to be a general feature of quantum systems,regardless of the measures used.Here,an alternative approach to coherence-mixedness complementarity,based on majorization theory,is proposed.Vectorial quantifiers of coherence and mixedness,namely the coherence vector and the spectrum,respectively,are used,instead of scalar measures.A majorization relation for the tensor product of both vectorial quantifiers is obtained,capturing general aspects of the trade-off between coherence and mixedness.The optimal bound for qubit systems and numerical bounds for qutrit systems are analyzed.Finally,coherence-mixedness complementarity relations are derived for a family of symmetric,concave and additive functions.These results provide a deeper insight into the relation between quantum coherence and mixedness.展开更多
We introduce a concept for the majorization order on monomials. With the help of this order, we derive a necessary condition on the positive termination of a general successive difference substitution algorithm （KSDS...We introduce a concept for the majorization order on monomials. With the help of this order, we derive a necessary condition on the positive termination of a general successive difference substitution algorithm （KSDS） for an input form f.展开更多
In this paper we introduce a new general subclass n,G∑ a,λ(A, B, α) of univalent functions related the known integral operator and differential operator. Some majorization results for n,G∑ a,λ(A, B, 1) as well as...In this paper we introduce a new general subclass n,G∑ a,λ(A, B, α) of univalent functions related the known integral operator and differential operator. Some majorization results for n,G∑ a,λ(A, B, 1) as well as the other functions are given. Furthermore, we find the coefficients bounds on |a_2| and |a_3| for functions in*n,G∑ a,λ(A_1, B_1, A_2, B_2, α_1, α_2), which is the bi-univalent functions defined by n,G ∑a,λ(A, B, α) and subordination. By giving specific values of the parameters of our main results, several(known or new) consequences of main results are also discussed.展开更多
The main object of this present paper is to investigate the problem of majorization of certain class of multivalent meromorphic functions of complex order involving Mittag-Leffler function. Meanwhile, for this subclas...The main object of this present paper is to investigate the problem of majorization of certain class of multivalent meromorphic functions of complex order involving Mittag-Leffler function. Meanwhile, for this subclass the corresponding coefficient estimates and some Fekete-Szegö type inequalities are obtained. Moreover we point out some new or known consequences of our main results.展开更多
Factor analysis (FA) is a time-honored multivariate analysis procedure for exploring the factors underlying observed variables. In this paper, we propose a new algorithm for the generalized least squares (GLS) estimat...Factor analysis (FA) is a time-honored multivariate analysis procedure for exploring the factors underlying observed variables. In this paper, we propose a new algorithm for the generalized least squares (GLS) estimation in FA. In the algorithm, a majorization step and diagonal steps are alternately iterated until convergence is reached, where Kiers and ten Berge’s (1992) majorization technique is used for the former step, and the latter ones are formulated as minimizing simple quadratic functions of diagonal matrices. This procedure is named a majorizing-diagonal (MD) algorithm. In contrast to the existing gradient approaches, differential calculus is not used and only elmentary matrix computations are required in the MD algorithm. A simuation study shows that the proposed MD algorithm recovers parameters better than the existing algorithms.展开更多
Using the axiomatic method, abstract concepts such as abstract mean, abstract convex function and abstract majorization are proposed. They are the generalizations of concepts of mean, convex function and majorization,...Using the axiomatic method, abstract concepts such as abstract mean, abstract convex function and abstract majorization are proposed. They are the generalizations of concepts of mean, convex function and majorization, respectively. Through the logical deduction, the fundamental theorems about abstract majorization inequalities are established as follows: for arbitrary abstract mean Σ and $ \Sigma ' $ and abstract ∑ ? $ \Sigma ' $ strict convex function f(x) on the interval I, if x i , y i ∈ I (i = 1, 2,..., n) satisfy that $ (x_1 ,x_2 , \ldots ,x_n ) \prec _n^\Sigma (y_1 ,y_2 , \ldots ,y_n ) $ then $ \Sigma ' $ {f(x 1), f(x 2),..., f(x n )} ? $ \Sigma ' $ {f(y 1), f(y 2),..., f(y n )}. This class of inequalities extends and generalizes the fundamental theorem of majorization inequalities. Moreover, concepts such as abstract vector mean are proposed, the fundamental theorems about abstract majorization inequalities are generalized to n-dimensional vector space. The fundamental theorem of majorization inequalities about the abstract vector mean are established as follows: for arbitrary symmetrical convex set $ \mathcal{S} \subset \mathbb{R}^n $ , and n-variable abstract symmetrical $ \overline \Sigma $ ? $ \Sigma ' $ strict convex function $ \phi (\bar x) $ on $ \mathcal{S} $ , if $ \bar x,\bar y \in \mathcal{S} $ , satisfy $ \bar x \prec _n^\Sigma \bar y $ , then $ \phi (\bar x) \geqslant \phi (\bar y) $ ; if vector group $ \bar x_i ,\bar y_i \in \mathcal{S}(i = 1,2, \ldots ,m) $ satisfy $ \{ \bar x_1 ,\bar x_2 , \ldots ,\bar x_m \} \prec _n^{\bar \Sigma } \{ \bar y_1 ,\bar y_2 , \ldots ,\bar y_m \} $ , then $ \Sigma '\{ \phi (\bar x_1 ),\phi (\bar x_2 ), \ldots ,\phi (\bar x_m )\} \geqslant \Sigma '\{ \phi (\bar y_1 ),\phi (\bar y_2 ), \ldots ,\phi (\bar y_m )\} $ .展开更多
Recently,the Fog-Radio Access Network(F-RAN)has gained considerable attention,because of its flexible architecture that allows rapid response to user requirements.In this paper,computational offloading in F-RAN is con...Recently,the Fog-Radio Access Network(F-RAN)has gained considerable attention,because of its flexible architecture that allows rapid response to user requirements.In this paper,computational offloading in F-RAN is considered,where multiple User Equipments(UEs)offload their computational tasks to the F-RAN through fog nodes.Each UE can select one of the fog nodes to offload its task,and each fog node may serve multiple UEs.The tasks are computed by the fog nodes or further offloaded to the cloud via a capacity-limited fronhaul link.In order to compute all UEs'tasks quickly,joint optimization of UE-Fog association,radio and computation resources of F-RAN is proposed to minimize the maximum latency of all UEs.This min-max problem is formulated as a Mixed Integer Nonlinear Program(MINP).To tackle it,first,MINP is reformulated as a continuous optimization problem,and then the Majorization Minimization(MM)method is used to find a solution.The MM approach that we develop is unconventional in that each MM subproblem is solved inexactly with the same provable convergence guarantee as the exact MM,thereby reducing the complexity of MM iteration.In addition,a cooperative offloading model is considered,where the fog nodes compress-and-forward their received signals to the cloud.Under this model,a similar min-max latency optimization problem is formulated and tackled by the inexact MM.Simulation results show that the proposed algorithms outperform some offloading strategies,and that the cooperative offloading can exploit transmission diversity better than noncooperative offloading to achieve better latency performance.展开更多
Let a general quantum many-body system at a low temperature adiabatically cross through the vicinity of the system＇s quantum critical point. We show that the system＇s temperature is signif- icantly suppressed due to...Let a general quantum many-body system at a low temperature adiabatically cross through the vicinity of the system＇s quantum critical point. We show that the system＇s temperature is signif- icantly suppressed due to both the entropy majorization theorem in quantum information science and the entropy conservation law in reversible adiabatic processes. We take the one-dimensional transverse-field Ising model and the spinless fermion system as concrete examples to show that the inverse temperature might become divergent around the systems＇ critical points. Since the temper- ature is a measurable quantity in experiments, it can be used, via reversible adiabatic processes at low temperatures, to detect quantum phase transitions in the perspectives of quantum information science and quantum statistical mechanics.展开更多
Based on the study of the Mechanical Design and Automation major and its relevance to teaching reform in higher education engineering programs,a project-based teaching model was introduced.This approach integrates tea...Based on the study of the Mechanical Design and Automation major and its relevance to teaching reform in higher education engineering programs,a project-based teaching model was introduced.This approach integrates teaching design,scheme argumentation,and the implementation of teaching activities with the project serving as the central framework.Course knowledge points are derived from the project topics,forming the foundation for a structured knowledge framework.The course content is modularized in alignment with the project design,enabling students to engage with professional courses on a module-by-module basis,guided by the project.Each course utilizes the project topic as a practical case,facilitating project-led teaching.A teaching system tailored to the research project is proposed,establishing a professional course structure closely linked to the project objectives.展开更多
This paper mainly discusses the innovative teaching mode of translation for English Majors under the guidance of OBE education philosophy.Firstly,by analyzing the current situation of translation teaching for English ...This paper mainly discusses the innovative teaching mode of translation for English Majors under the guidance of OBE education philosophy.Firstly,by analyzing the current situation of translation teaching for English majors,this paper points out the main problems,and combined with the OBE education concept,through optimizing the top-level design,updating the teaching content,improving the teaching methods,and scientifically using the evaluation methods,constructs a student-centered and outcome-oriented teaching mode.It is hoped that this study can improve students’translation ability and comprehensive quality,and provide a useful reference for the reform of translation teaching for English majors.展开更多
Against the backdrop of the high-quality development of vocational education,the construction of“double-qualified”teacher teams has shifted from focusing on quantity growth to emphasizing the improvement of“double-...Against the backdrop of the high-quality development of vocational education,the construction of“double-qualified”teacher teams has shifted from focusing on quantity growth to emphasizing the improvement of“double-qualified”competencies.How to strengthen the quality-oriented construction of“double-qualified”teacher teams,give full play to the role of“double-qualified”teachers,promote the construction and teaching reform of tourism majors,and enhance the quality of tourism talent cultivation have become key issues faced by higher vocational tourism majors.Taking higher vocational tourism majors as an example,this paper analyzes the problems encountered in the construction of tourism-related“double-qualified”teacher teams,puts forward strategies for such construction,and explores the impact of building“double-qualified”teacher teams on the quality of talent cultivation in tourism majors.It aims to provide references for the coordinated improvement of the construction of“double-qualified”teacher teams and the quality of talent cultivation in higher vocational tourism majors.展开更多
With the in-depth advancement of vocational education reform,the concept of“Mass Entrepreneurship and Innovation”has emerged at the historic moment.Integrating“Mass Entrepreneurship and Innovation”education into t...With the in-depth advancement of vocational education reform,the concept of“Mass Entrepreneurship and Innovation”has emerged at the historic moment.Integrating“Mass Entrepreneurship and Innovation”education into the teaching of computer-related professional courses in vocational schools is conducive to cultivating high-quality applied talents.Based on this,this paper deeply analyzes the connotation and characteristics of“Mass Entrepreneurship and Innovation”education,and examines the current status and existing problems of integrating such education into computer-related professional courses.Furthermore,it proposes optimization strategies from aspects including the formulation of course objectives,the reconstruction of teaching content,the innovation of teaching methods,the development of teaching staff,and the construction of practical platforms.The purpose is to enhance students’innovative thinking,entrepreneurial capabilities,and professional skills,and to provide professional talents with“Mass Entrepreneurship and Innovation”literacy for the development of the computer industry.展开更多
The construction of new liberal arts emphasizes interdisciplinary integration and the cultivation of compound talents,providing new opportunities for the collaborative development of foreign language majors and touris...The construction of new liberal arts emphasizes interdisciplinary integration and the cultivation of compound talents,providing new opportunities for the collaborative development of foreign language majors and tourism majors in universities.The“foreign language+tourism”teaching model,by integrating the instrumental nature of language and the applied nature of tourism,aims to cultivate compound talents with both cross-cultural communication skills and practical capabilities in the tourism industry.Based on the background of new liberal arts,this paper analyzes the current status and challenges of“foreign language+tourism”teaching in universities,and proposes specific teaching paths from the dimensions of curriculum system reconstruction,teaching model innovation,faculty team optimization,and evaluation mechanism improvement,aiming to provide a theoretical reference for cultivating high-quality talents adapted to the high-quality development needs of the cultural and tourism industry.展开更多
Innovation and entrepreneurship education is an important part of higher education.It adapts to the current era background of mass innovation and entrepreneurship,and is also an effective way for higher education to c...Innovation and entrepreneurship education is an important part of higher education.It adapts to the current era background of mass innovation and entrepreneurship,and is also an effective way for higher education to cultivate all-round developing talents.From the perspective of current higher education,many colleges and universities attach importance to basic education,but their cultivation of students’innovation and entrepreneurship abilities is relatively insufficient;some colleges and universities have a relatively superficial understanding of innovation and entrepreneurship,showing the characteristics of emphasizing theory over practice,and the teaching reform is indeed ineffective.The teaching concept of integration of industry and education emphasizes that enterprises are an important subject in talent cultivation,injecting new vitality into the development of the innovation and entrepreneurship curriculum system for water conservancy majors in colleges and universities.Against this background,guided by the teaching concept of integration of industry and education,this paper explores the important role of strengthening innovation and entrepreneurship education for water conservancy majors,and then deeply explores corresponding teaching strategies,aiming to improve the quality of innovation education for water conservancy students,cultivate their good innovation awareness and entrepreneurship ability,enhance their comprehensive quality,and deliver all-round developing water conservancy talents.展开更多
Nature education program is an essential teaching content in kindergarten,which is not only conducive to enhancing children’s knowledge of the natural environment and awareness of protection but also cultivating thei...Nature education program is an essential teaching content in kindergarten,which is not only conducive to enhancing children’s knowledge of the natural environment and awareness of protection but also cultivating their exploratory ability.As the future practitioners of kindergarten education,preschool education majors in colleges and universities are now actively exploring the implementation strategies of kindergarten nature education programs and innovating the construction method of nature education programs,which not only directly affects the high quality of their future teaching work,but also helps to promote the cognitive development of young children and the enhancement of their practical skills.Based on this,this paper outlines the teaching strategies of a kindergarten nature education program from the perspective of letting young children get close to nature,discovering nature,and other aspects of preschool education majors in colleges and universities.展开更多
文摘Purpose:To contribute to the study of networks and graphs.Design/methodology/approach:We apply standard mathematical thinking.Findings:We show that the distance distribution in an undirected network Lorenz majorizes the one of a chain.As a consequence,the average and median distances in any such network are smaller than or equal to those of a chain.Research limitations:We restricted our investigations to undirected,unweighted networks.Practical implications:We are convinced that these results are useful in the study of small worlds and the so-called six degrees of separation property.Originality/value:To the best of our knowledge our research contains new network results,especially those related to frequencies of distances.
基金Supported by the National Natural Science Foundation of China(Grant No.11271045)the Funds of Doctoral Programme of China(Grant No.20100003110004)the Natural Science Foundation of Inner Mongolia Province(Grant No.2010MS0117)
文摘In this paper, we introduce new subclasses Sp,q,^mj,l λ[A,B;γ]and Hp,q,λ^m,j,l（α,β）of certain p-valent analytic functions defined by a generalized differential operator. Majorizationproperties for functions belonging to the classes Sp,q,^mj,l λ[A,B;γ]and Hp,q,λ^m,j,l（α,β）are investigated. Also, we point out some new or known consequences of our main results.
基金Supported by the National Natural Science Foundation of China(Grant Nos.11561001 11271045)+6 种基金the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(Grant No.NJYT-18-A14)the Natural Science Foundation of Inner Mongolia(Grant No.2018MS01026)the Higher School Foundation of Inner Mongolia(Grant Nos.NJZY16251 NJZY17300 NJZY17301 NJZY18217)the Natural Science Foundation of Chifeng
文摘In this article, we study several majorizaton properties for the subclasses SL~*,SR~*(a, b), BS~*(α), S_c~*, S_q~* and S_R~* of starlike functions. Meanwhile, some special cases of our main results are given.
基金Supported by Natural Science Foundation of Inner Mongolia Autonomous Region(Grant No.2009MS0113)
文摘In the present paper, we investigate the majorization property for certain new class of multivalent meromorphic analytic functions defined by Salagean operator. Moreover, we point out some new and interesting applications of our main result to the other classes of multivalent meromorphic functions.
基金partially supported by the projects PIP 0519PIBAA 0718 funded by Consejo Nacional de Investigaciones Científicas y Técnicas CONICET(Argentina)+1 种基金PICT 2018-1774 funded by Agencia Nacional de Promoción Científica y Tecnológica FONCYT(Argentina)11/X812 funded by Universidad Nacional de La Plata UNLP(Argentina)
文摘Quantum coherence is a relevant resource for various quantum information processing tasks,but it is fragile since it is generally affected by environmental noise.This is reflected in the loss of purity of the system,which in turn limits the amount of quantum coherence of it.As a consequence,a complementarity relation between coherence and mixedness arises.Previous works characterize this complementarity through inequalities between theℓ1-norm of coherence and linear entropy,and between the relative entropy of coherence and von Neumann entropy.However,coherence-mixedness complementarity is expected to be a general feature of quantum systems,regardless of the measures used.Here,an alternative approach to coherence-mixedness complementarity,based on majorization theory,is proposed.Vectorial quantifiers of coherence and mixedness,namely the coherence vector and the spectrum,respectively,are used,instead of scalar measures.A majorization relation for the tensor product of both vectorial quantifiers is obtained,capturing general aspects of the trade-off between coherence and mixedness.The optimal bound for qubit systems and numerical bounds for qutrit systems are analyzed.Finally,coherence-mixedness complementarity relations are derived for a family of symmetric,concave and additive functions.These results provide a deeper insight into the relation between quantum coherence and mixedness.
基金Supported by the National Key Basic Research Project of China(Grant No.2011CB302402)the Fundamental Research Funds for the Central Universities,Southwest University for Nationalities(Grant No.12NZYTH04)
文摘We introduce a concept for the majorization order on monomials. With the help of this order, we derive a necessary condition on the positive termination of a general successive difference substitution algorithm （KSDS） for an input form f.
基金Supported by the Scientific Research Found of Education Department of Sichuan Province(14ZB0364)
文摘In this paper we introduce a new general subclass n,G∑ a,λ(A, B, α) of univalent functions related the known integral operator and differential operator. Some majorization results for n,G∑ a,λ(A, B, 1) as well as the other functions are given. Furthermore, we find the coefficients bounds on |a_2| and |a_3| for functions in*n,G∑ a,λ(A_1, B_1, A_2, B_2, α_1, α_2), which is the bi-univalent functions defined by n,G ∑a,λ(A, B, α) and subordination. By giving specific values of the parameters of our main results, several(known or new) consequences of main results are also discussed.
基金Supported by Natural Science Foundation of Ningxia(Grant No.2020AAC03066)National Natural Science Foundation of China(Grant Nos.42064004 and 11762016).
文摘The main object of this present paper is to investigate the problem of majorization of certain class of multivalent meromorphic functions of complex order involving Mittag-Leffler function. Meanwhile, for this subclass the corresponding coefficient estimates and some Fekete-Szegö type inequalities are obtained. Moreover we point out some new or known consequences of our main results.
文摘Factor analysis (FA) is a time-honored multivariate analysis procedure for exploring the factors underlying observed variables. In this paper, we propose a new algorithm for the generalized least squares (GLS) estimation in FA. In the algorithm, a majorization step and diagonal steps are alternately iterated until convergence is reached, where Kiers and ten Berge’s (1992) majorization technique is used for the former step, and the latter ones are formulated as minimizing simple quadratic functions of diagonal matrices. This procedure is named a majorizing-diagonal (MD) algorithm. In contrast to the existing gradient approaches, differential calculus is not used and only elmentary matrix computations are required in the MD algorithm. A simuation study shows that the proposed MD algorithm recovers parameters better than the existing algorithms.
基金supported by the National Key Basic Research Project of China (Grant No. 2004CB318003)the Foundation of the Education Department of Sichuan Province of China (Grant No. 07ZA087)
文摘Using the axiomatic method, abstract concepts such as abstract mean, abstract convex function and abstract majorization are proposed. They are the generalizations of concepts of mean, convex function and majorization, respectively. Through the logical deduction, the fundamental theorems about abstract majorization inequalities are established as follows: for arbitrary abstract mean Σ and $ \Sigma ' $ and abstract ∑ ? $ \Sigma ' $ strict convex function f(x) on the interval I, if x i , y i ∈ I (i = 1, 2,..., n) satisfy that $ (x_1 ,x_2 , \ldots ,x_n ) \prec _n^\Sigma (y_1 ,y_2 , \ldots ,y_n ) $ then $ \Sigma ' $ {f(x 1), f(x 2),..., f(x n )} ? $ \Sigma ' $ {f(y 1), f(y 2),..., f(y n )}. This class of inequalities extends and generalizes the fundamental theorem of majorization inequalities. Moreover, concepts such as abstract vector mean are proposed, the fundamental theorems about abstract majorization inequalities are generalized to n-dimensional vector space. The fundamental theorem of majorization inequalities about the abstract vector mean are established as follows: for arbitrary symmetrical convex set $ \mathcal{S} \subset \mathbb{R}^n $ , and n-variable abstract symmetrical $ \overline \Sigma $ ? $ \Sigma ' $ strict convex function $ \phi (\bar x) $ on $ \mathcal{S} $ , if $ \bar x,\bar y \in \mathcal{S} $ , satisfy $ \bar x \prec _n^\Sigma \bar y $ , then $ \phi (\bar x) \geqslant \phi (\bar y) $ ; if vector group $ \bar x_i ,\bar y_i \in \mathcal{S}(i = 1,2, \ldots ,m) $ satisfy $ \{ \bar x_1 ,\bar x_2 , \ldots ,\bar x_m \} \prec _n^{\bar \Sigma } \{ \bar y_1 ,\bar y_2 , \ldots ,\bar y_m \} $ , then $ \Sigma '\{ \phi (\bar x_1 ),\phi (\bar x_2 ), \ldots ,\phi (\bar x_m )\} \geqslant \Sigma '\{ \phi (\bar y_1 ),\phi (\bar y_2 ), \ldots ,\phi (\bar y_m )\} $ .
基金supported in part by the Natural Science Foundation of China (62171110,U19B2028 and U20B2070)。
文摘Recently,the Fog-Radio Access Network(F-RAN)has gained considerable attention,because of its flexible architecture that allows rapid response to user requirements.In this paper,computational offloading in F-RAN is considered,where multiple User Equipments(UEs)offload their computational tasks to the F-RAN through fog nodes.Each UE can select one of the fog nodes to offload its task,and each fog node may serve multiple UEs.The tasks are computed by the fog nodes or further offloaded to the cloud via a capacity-limited fronhaul link.In order to compute all UEs'tasks quickly,joint optimization of UE-Fog association,radio and computation resources of F-RAN is proposed to minimize the maximum latency of all UEs.This min-max problem is formulated as a Mixed Integer Nonlinear Program(MINP).To tackle it,first,MINP is reformulated as a continuous optimization problem,and then the Majorization Minimization(MM)method is used to find a solution.The MM approach that we develop is unconventional in that each MM subproblem is solved inexactly with the same provable convergence guarantee as the exact MM,thereby reducing the complexity of MM iteration.In addition,a cooperative offloading model is considered,where the fog nodes compress-and-forward their received signals to the cloud.Under this model,a similar min-max latency optimization problem is formulated and tackled by the inexact MM.Simulation results show that the proposed algorithms outperform some offloading strategies,and that the cooperative offloading can exploit transmission diversity better than noncooperative offloading to achieve better latency performance.
基金supported by the fund of South China Agricultural University(Grant No.4900-k08225)supported by National Natural Science Foundation of China(Grant No.11071088)
文摘Let π = （d1, d2,..., dn） and π＇ = （d＇1, d＇2,..., d＇n） be two non-increasing degree sequences.
文摘Let a general quantum many-body system at a low temperature adiabatically cross through the vicinity of the system＇s quantum critical point. We show that the system＇s temperature is signif- icantly suppressed due to both the entropy majorization theorem in quantum information science and the entropy conservation law in reversible adiabatic processes. We take the one-dimensional transverse-field Ising model and the spinless fermion system as concrete examples to show that the inverse temperature might become divergent around the systems＇ critical points. Since the temper- ature is a measurable quantity in experiments, it can be used, via reversible adiabatic processes at low temperatures, to detect quantum phase transitions in the perspectives of quantum information science and quantum statistical mechanics.
基金The 2023 Qingdao Institute of Technology Campus-Level Teaching and Research Project“Research on Project-Based Teaching Model for Engineering Majors in Colleges and Universities”(2023JY005)。
文摘Based on the study of the Mechanical Design and Automation major and its relevance to teaching reform in higher education engineering programs,a project-based teaching model was introduced.This approach integrates teaching design,scheme argumentation,and the implementation of teaching activities with the project serving as the central framework.Course knowledge points are derived from the project topics,forming the foundation for a structured knowledge framework.The course content is modularized in alignment with the project design,enabling students to engage with professional courses on a module-by-module basis,guided by the project.Each course utilizes the project topic as a practical case,facilitating project-led teaching.A teaching system tailored to the research project is proposed,establishing a professional course structure closely linked to the project objectives.
文摘This paper mainly discusses the innovative teaching mode of translation for English Majors under the guidance of OBE education philosophy.Firstly,by analyzing the current situation of translation teaching for English majors,this paper points out the main problems,and combined with the OBE education concept,through optimizing the top-level design,updating the teaching content,improving the teaching methods,and scientifically using the evaluation methods,constructs a student-centered and outcome-oriented teaching mode.It is hoped that this study can improve students’translation ability and comprehensive quality,and provide a useful reference for the reform of translation teaching for English majors.
文摘Against the backdrop of the high-quality development of vocational education,the construction of“double-qualified”teacher teams has shifted from focusing on quantity growth to emphasizing the improvement of“double-qualified”competencies.How to strengthen the quality-oriented construction of“double-qualified”teacher teams,give full play to the role of“double-qualified”teachers,promote the construction and teaching reform of tourism majors,and enhance the quality of tourism talent cultivation have become key issues faced by higher vocational tourism majors.Taking higher vocational tourism majors as an example,this paper analyzes the problems encountered in the construction of tourism-related“double-qualified”teacher teams,puts forward strategies for such construction,and explores the impact of building“double-qualified”teacher teams on the quality of talent cultivation in tourism majors.It aims to provide references for the coordinated improvement of the construction of“double-qualified”teacher teams and the quality of talent cultivation in higher vocational tourism majors.
文摘With the in-depth advancement of vocational education reform,the concept of“Mass Entrepreneurship and Innovation”has emerged at the historic moment.Integrating“Mass Entrepreneurship and Innovation”education into the teaching of computer-related professional courses in vocational schools is conducive to cultivating high-quality applied talents.Based on this,this paper deeply analyzes the connotation and characteristics of“Mass Entrepreneurship and Innovation”education,and examines the current status and existing problems of integrating such education into computer-related professional courses.Furthermore,it proposes optimization strategies from aspects including the formulation of course objectives,the reconstruction of teaching content,the innovation of teaching methods,the development of teaching staff,and the construction of practical platforms.The purpose is to enhance students’innovative thinking,entrepreneurial capabilities,and professional skills,and to provide professional talents with“Mass Entrepreneurship and Innovation”literacy for the development of the computer industry.
基金Education Teaching Reform Research and Practice Project of Tangshan Normal University“Research on the Construction and Practical Pathways of‘Foreign Languages+Majors’Interdisciplinary Model under the Background of New Liberal Arts”(2025JGZD114)。
文摘The construction of new liberal arts emphasizes interdisciplinary integration and the cultivation of compound talents,providing new opportunities for the collaborative development of foreign language majors and tourism majors in universities.The“foreign language+tourism”teaching model,by integrating the instrumental nature of language and the applied nature of tourism,aims to cultivate compound talents with both cross-cultural communication skills and practical capabilities in the tourism industry.Based on the background of new liberal arts,this paper analyzes the current status and challenges of“foreign language+tourism”teaching in universities,and proposes specific teaching paths from the dimensions of curriculum system reconstruction,teaching model innovation,faculty team optimization,and evaluation mechanism improvement,aiming to provide a theoretical reference for cultivating high-quality talents adapted to the high-quality development needs of the cultural and tourism industry.
基金Shihezi University Education and Teaching Reform Project(Project No.:JGY-2023-11)Shihezi University Teaching Achievement Award Cultivation Project。
文摘Innovation and entrepreneurship education is an important part of higher education.It adapts to the current era background of mass innovation and entrepreneurship,and is also an effective way for higher education to cultivate all-round developing talents.From the perspective of current higher education,many colleges and universities attach importance to basic education,but their cultivation of students’innovation and entrepreneurship abilities is relatively insufficient;some colleges and universities have a relatively superficial understanding of innovation and entrepreneurship,showing the characteristics of emphasizing theory over practice,and the teaching reform is indeed ineffective.The teaching concept of integration of industry and education emphasizes that enterprises are an important subject in talent cultivation,injecting new vitality into the development of the innovation and entrepreneurship curriculum system for water conservancy majors in colleges and universities.Against this background,guided by the teaching concept of integration of industry and education,this paper explores the important role of strengthening innovation and entrepreneurship education for water conservancy majors,and then deeply explores corresponding teaching strategies,aiming to improve the quality of innovation education for water conservancy students,cultivate their good innovation awareness and entrepreneurship ability,enhance their comprehensive quality,and deliver all-round developing water conservancy talents.
文摘Nature education program is an essential teaching content in kindergarten,which is not only conducive to enhancing children’s knowledge of the natural environment and awareness of protection but also cultivating their exploratory ability.As the future practitioners of kindergarten education,preschool education majors in colleges and universities are now actively exploring the implementation strategies of kindergarten nature education programs and innovating the construction method of nature education programs,which not only directly affects the high quality of their future teaching work,but also helps to promote the cognitive development of young children and the enhancement of their practical skills.Based on this,this paper outlines the teaching strategies of a kindergarten nature education program from the perspective of letting young children get close to nature,discovering nature,and other aspects of preschool education majors in colleges and universities.
