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 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
In addition to conventional antenna-based array,the reconfigurable intelligent surface(RIS)holds promise as an alternative technology for manufacturing massive multi-input multi-output(MIMO)array for beyond 5G communi...In addition to conventional antenna-based array,the reconfigurable intelligent surface(RIS)holds promise as an alternative technology for manufacturing massive multi-input multi-output(MIMO)array for beyond 5G communications.This paper designs a fast algorithm to optimize the RIS-based MIMO precoder for maximizing the spectral efficiency,which includes the digital precoder and the RIS reflection phases.We evaluate the optimality of the algorithm by deriving an RIS channel capacity upper bound utilizing majorization theory.Our scheme can work for an RIS in both frequency flat and frequency selective channels,with either continuously or discretely tunable phases.The simulation results show that the proposed algorithm can achieve the capacity upper bound in some scenarios,which empirically proves its optimality.It is also shown that our algorithm is one-to-two orders of magnitude faster than the state-of-the-art methods in the literature.展开更多
We consider testing hypotheses concerning comparing dispersions between two parameter vectors of multinomial distributions in both one-sample and two-sample cases. The comparison criterion is the concept of Schur majo...We consider testing hypotheses concerning comparing dispersions between two parameter vectors of multinomial distributions in both one-sample and two-sample cases. The comparison criterion is the concept of Schur majorization. A new dispersion index is proposed for testing the hypotheses. The corresponding test for the one-sample problem is an exact test. For the two-sample problem, the bootstrap is used to approximate the null distribution of the test statistic and the p-value. We prove that the bootstrap test is asymptotically correct and consistent. Simulation studies for the bootstrap test are reported and a real life example is presented.展开更多
In this paper, we introduce some new subclasses of meromorphically uniformly reciprocal starlike functions associated with the generalized Dziok-Srivastava operator and its corresponding integral operator defined by s...In this paper, we introduce some new subclasses of meromorphically uniformly reciprocal starlike functions associated with the generalized Dziok-Srivastava operator and its corresponding integral operator defined by subordination. We obtain the inclusion relation, sufficient conditions and raajorization property of the class. Moreover, we point out some new and interesting corollaries of our main result. These results generalize some known results.展开更多
This paper first stated some related theories of cooperative learning and English reading teaching.And then an applicationof cooperative learning in English reading teaching of art majors in independent college is imp...This paper first stated some related theories of cooperative learning and English reading teaching.And then an applicationof cooperative learning in English reading teaching of art majors in independent college is implemented based on these literature re-views.The aim of the experiment is to explore the impact of the application of cooperative learning strategies.It mainly discussedthe following questions:(1)Can the group cooperative learning improve students'reading achievement?(2)What factors contributeto the success/failure of cooperative learning?(3)What are the favorite cooperative learning models in reading classes?The experi-ment proved that cooperative learning does not truly improve art students’reading achievement in independent college,but it real-ly has a positive role in promoting the students'learning interest,motivation and emotional attitude.The experiment also indicatesthat cooperative learning is still a valuable teaching strategy for applying,and GI,LT,TGT and other cooperative learning modelare welcomed by classmates.展开更多
English public speaking proves to play a significant role in the speaker's whole person education, which has been gaining increasing attention among scholars at home and abroad. The paper analyzes possible relatio...English public speaking proves to play a significant role in the speaker's whole person education, which has been gaining increasing attention among scholars at home and abroad. The paper analyzes possible relations between them and argues that great importance and awareness are supposed to be attached to the development and promotion of English public speaking especially among English majors for them to be more versatile and more competitive both in job markets and in work places.展开更多
In this article, by means of the theory of majorization, Adamovic's inequality is extended to the cases of the general elementary symmetric functions and its duals, and the refined and reversed forms are also give...In this article, by means of the theory of majorization, Adamovic's inequality is extended to the cases of the general elementary symmetric functions and its duals, and the refined and reversed forms are also given. As applications, some new inequalities for simplex are established.展开更多
During the active process of reading, strategies involved will affect the process of reading comprehension, and the reader should intentionally regulate and control the reading process and adopt appropriate strategies...During the active process of reading, strategies involved will affect the process of reading comprehension, and the reader should intentionally regulate and control the reading process and adopt appropriate strategies to solve the problems during it. The purpose of this paper is to determine the use of metacognitive strategies in reading by the PE & Art majors through questionnaire. According to the result of the questionnaire, the PE & Art majors do use some metacognitive strategies in their reading, while nearly half of them do not often use metacognitive strategies in their reading. For this phenomenon, the author gives some constructive suggestions for the English majors about how to apply the metacognitive strategies in their reading: 1) preparing and planning in pre-reading; 2) monitoring and self-questioning in while-reading; 3) evaluating and adjusting in post-reading.展开更多
With different learning purposes and environment, the attitude to western culture of English majors and non-English majors is hypothetically different. But after the study conducted with the method of questionnaire, t...With different learning purposes and environment, the attitude to western culture of English majors and non-English majors is hypothetically different. But after the study conducted with the method of questionnaire, the hypothesis is proved to be wrong. Thus, the writer analyses the reasons for the problem and suggests the pedagogic practice.展开更多
Many researches have proven that reading strategies play a vital role in English reading processes and have a crucial influence on reading results. However, at present there are few studies focused on art major studen...Many researches have proven that reading strategies play a vital role in English reading processes and have a crucial influence on reading results. However, at present there are few studies focused on art major students' reading strategy use status quo, especially the researches on art major students in independent college are fewer. This thesis based on the existing reading strategy research, tries to discuss the characteristics of art major students' English reading strategy use and further analyzes the factors that influence the choosing of reading strategies among art major students in Hubei University Zhixing College which is an independent college in Wuhan city Hubei Province.Based on the investigation results and survey results of the interview, this thesis presents some reading strategy teaching strategies for improving English language reading strategy teaching:展开更多
This study explored the correlation between listening strategies use and listening autonomy proficiency, and aimed to find the listening strategies that can predict a higher listening autonomous achievement. 133 Engli...This study explored the correlation between listening strategies use and listening autonomy proficiency, and aimed to find the listening strategies that can predict a higher listening autonomous achievement. 133 English majors of Yangtze University, College of Arts and Science participated in this survey. The general situation of English majors'using of listening strategies and the correlation between different listening strategies and listening autonomy proficiency were analyzed. Based on the findings, some pedagogical implications were proposed to professional English listening teaching in higher education.展开更多
Grammar is very important in language learning. The mastery of English grammar is the basic English skill. However,most non-English majors are relatively poor in English and English grammar. They think grammar learnin...Grammar is very important in language learning. The mastery of English grammar is the basic English skill. However,most non-English majors are relatively poor in English and English grammar. They think grammar learning is boring and have a negative attitude towards grammar. So,it's necessary and urgent to teach them grammar.展开更多
This thesis conducts a study of avoidance phenomenon in the English writing of English majors in Shandong University ofTechnology. Instruments used in the study are 180 English writing samples of the 2 ndgrade English...This thesis conducts a study of avoidance phenomenon in the English writing of English majors in Shandong University ofTechnology. Instruments used in the study are 180 English writing samples of the 2 ndgrade English majors, questionnaires and in-terviews. Based on the data collected, different kinds of avoidance are analyzed. Further, reasons behind avoidance are exploredand corresponding implications are given.展开更多
Learning styles are considered as an important individual difference of affecting learning efficiency and English achievements.This research focuses on the sophomores whose majors are Physical Education (P.E.),Art and...Learning styles are considered as an important individual difference of affecting learning efficiency and English achievements.This research focuses on the sophomores whose majors are Physical Education (P.E.),Art and Music (P.A.M.students) in Yangtze Normal University to investigate into total learning styles,the relationships concerning major,English achievement respectively with learning styles.The results show that participants prefer group learning style rather than auditory learning style;there is no possible links between learning styles and their majors,and English achievements.展开更多
It is commonly known that writing is an advanced skill which is essential in language learning but at the same time the most difficult task for learners. This paper is with the aim to explore helpful roles that teache...It is commonly known that writing is an advanced skill which is essential in language learning but at the same time the most difficult task for learners. This paper is with the aim to explore helpful roles that teacher can play to help non-English major students improve their English writing, so as to help improve their writing ability in the author's context.展开更多
This article studies the existence of analytic invariant curves for a nonlinear second order difference equation which was modeled from macroeconomics of the business cycle. The author not only discusses the case of t...This article studies the existence of analytic invariant curves for a nonlinear second order difference equation which was modeled from macroeconomics of the business cycle. The author not only discusses the case of the eigenvalue off the unit circle S^1 and the case on S^1 with the Diophantine condition but also considers the case of the eigenvalue at a root of the unity, which obviously violates the Diophantine condition.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 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.
基金supported by National Natural Science Foundation of China Grant No.61771005。
文摘In addition to conventional antenna-based array,the reconfigurable intelligent surface(RIS)holds promise as an alternative technology for manufacturing massive multi-input multi-output(MIMO)array for beyond 5G communications.This paper designs a fast algorithm to optimize the RIS-based MIMO precoder for maximizing the spectral efficiency,which includes the digital precoder and the RIS reflection phases.We evaluate the optimality of the algorithm by deriving an RIS channel capacity upper bound utilizing majorization theory.Our scheme can work for an RIS in both frequency flat and frequency selective channels,with either continuously or discretely tunable phases.The simulation results show that the proposed algorithm can achieve the capacity upper bound in some scenarios,which empirically proves its optimality.It is also shown that our algorithm is one-to-two orders of magnitude faster than the state-of-the-art methods in the literature.
基金Sponsored by the National NSFC (10771126, 10801130)
文摘We consider testing hypotheses concerning comparing dispersions between two parameter vectors of multinomial distributions in both one-sample and two-sample cases. The comparison criterion is the concept of Schur majorization. A new dispersion index is proposed for testing the hypotheses. The corresponding test for the one-sample problem is an exact test. For the two-sample problem, the bootstrap is used to approximate the null distribution of the test statistic and the p-value. We prove that the bootstrap test is asymptotically correct and consistent. Simulation studies for the bootstrap test are reported and a real life example is presented.
基金Supported by the National Natural Science Foundation of China(11561001)Supported by the Natural Science Foundation of Inner Mongolia Province(2014MS0101)Supported by the Higher School Foundation of Inner Mongolia Province(2015NJZY240)
文摘In this paper, we introduce some new subclasses of meromorphically uniformly reciprocal starlike functions associated with the generalized Dziok-Srivastava operator and its corresponding integral operator defined by subordination. We obtain the inclusion relation, sufficient conditions and raajorization property of the class. Moreover, we point out some new and interesting corollaries of our main result. These results generalize some known results.
文摘This paper first stated some related theories of cooperative learning and English reading teaching.And then an applicationof cooperative learning in English reading teaching of art majors in independent college is implemented based on these literature re-views.The aim of the experiment is to explore the impact of the application of cooperative learning strategies.It mainly discussedthe following questions:(1)Can the group cooperative learning improve students'reading achievement?(2)What factors contributeto the success/failure of cooperative learning?(3)What are the favorite cooperative learning models in reading classes?The experi-ment proved that cooperative learning does not truly improve art students’reading achievement in independent college,but it real-ly has a positive role in promoting the students'learning interest,motivation and emotional attitude.The experiment also indicatesthat cooperative learning is still a valuable teaching strategy for applying,and GI,LT,TGT and other cooperative learning modelare welcomed by classmates.
文摘English public speaking proves to play a significant role in the speaker's whole person education, which has been gaining increasing attention among scholars at home and abroad. The paper analyzes possible relations between them and argues that great importance and awareness are supposed to be attached to the development and promotion of English public speaking especially among English majors for them to be more versatile and more competitive both in job markets and in work places.
文摘In this article, by means of the theory of majorization, Adamovic's inequality is extended to the cases of the general elementary symmetric functions and its duals, and the refined and reversed forms are also given. As applications, some new inequalities for simplex are established.
文摘During the active process of reading, strategies involved will affect the process of reading comprehension, and the reader should intentionally regulate and control the reading process and adopt appropriate strategies to solve the problems during it. The purpose of this paper is to determine the use of metacognitive strategies in reading by the PE & Art majors through questionnaire. According to the result of the questionnaire, the PE & Art majors do use some metacognitive strategies in their reading, while nearly half of them do not often use metacognitive strategies in their reading. For this phenomenon, the author gives some constructive suggestions for the English majors about how to apply the metacognitive strategies in their reading: 1) preparing and planning in pre-reading; 2) monitoring and self-questioning in while-reading; 3) evaluating and adjusting in post-reading.
文摘With different learning purposes and environment, the attitude to western culture of English majors and non-English majors is hypothetically different. But after the study conducted with the method of questionnaire, the hypothesis is proved to be wrong. Thus, the writer analyses the reasons for the problem and suggests the pedagogic practice.
文摘Many researches have proven that reading strategies play a vital role in English reading processes and have a crucial influence on reading results. However, at present there are few studies focused on art major students' reading strategy use status quo, especially the researches on art major students in independent college are fewer. This thesis based on the existing reading strategy research, tries to discuss the characteristics of art major students' English reading strategy use and further analyzes the factors that influence the choosing of reading strategies among art major students in Hubei University Zhixing College which is an independent college in Wuhan city Hubei Province.Based on the investigation results and survey results of the interview, this thesis presents some reading strategy teaching strategies for improving English language reading strategy teaching:
文摘This study explored the correlation between listening strategies use and listening autonomy proficiency, and aimed to find the listening strategies that can predict a higher listening autonomous achievement. 133 English majors of Yangtze University, College of Arts and Science participated in this survey. The general situation of English majors'using of listening strategies and the correlation between different listening strategies and listening autonomy proficiency were analyzed. Based on the findings, some pedagogical implications were proposed to professional English listening teaching in higher education.
文摘Grammar is very important in language learning. The mastery of English grammar is the basic English skill. However,most non-English majors are relatively poor in English and English grammar. They think grammar learning is boring and have a negative attitude towards grammar. So,it's necessary and urgent to teach them grammar.
文摘This thesis conducts a study of avoidance phenomenon in the English writing of English majors in Shandong University ofTechnology. Instruments used in the study are 180 English writing samples of the 2 ndgrade English majors, questionnaires and in-terviews. Based on the data collected, different kinds of avoidance are analyzed. Further, reasons behind avoidance are exploredand corresponding implications are given.
文摘Learning styles are considered as an important individual difference of affecting learning efficiency and English achievements.This research focuses on the sophomores whose majors are Physical Education (P.E.),Art and Music (P.A.M.students) in Yangtze Normal University to investigate into total learning styles,the relationships concerning major,English achievement respectively with learning styles.The results show that participants prefer group learning style rather than auditory learning style;there is no possible links between learning styles and their majors,and English achievements.
文摘It is commonly known that writing is an advanced skill which is essential in language learning but at the same time the most difficult task for learners. This paper is with the aim to explore helpful roles that teacher can play to help non-English major students improve their English writing, so as to help improve their writing ability in the author's context.
基金supported by the Fund of Educational Reform Project of Guangxi Province of China (200710961)the Scientific Research Foundation of the Education Department of Guangxi Province of China (200707MS112)+1 种基金the Natural Science Fund of Hechi University (2006N001)the fund of Key discipline of applied mathematics of Hechi University (200725)
文摘This article studies the existence of analytic invariant curves for a nonlinear second order difference equation which was modeled from macroeconomics of the business cycle. The author not only discusses the case of the eigenvalue off the unit circle S^1 and the case on S^1 with the Diophantine condition but also considers the case of the eigenvalue at a root of the unity, which obviously violates the Diophantine condition.
