This paper concerns the problem of average σ-width of Sobolev–Wiener classes , and Besov-Wiener classes in the metric L q (R d ) for 1 ≤ q ≤ p ≤ ∞. The weak asymptotic results concerning the average linear wid...This paper concerns the problem of average σ-width of Sobolev–Wiener classes , and Besov-Wiener classes in the metric L q (R d ) for 1 ≤ q ≤ p ≤ ∞. The weak asymptotic results concerning the average linear widths, the average Bernstein widths and the infinite-dimensional Gel’fand widths are obtained, respectively.展开更多
This paper concerns the problem of average σ-K width and average σ-L width of some anisotropic Besov-Wiener classes $S_{pq\theta }^r b(\mathbb{R}{}^d) and S_{pq\theta }^r B(\mathbb{R}{}^d) in L_q (\mathbb{R}{}^d) (1...This paper concerns the problem of average σ-K width and average σ-L width of some anisotropic Besov-Wiener classes $S_{pq\theta }^r b(\mathbb{R}{}^d) and S_{pq\theta }^r B(\mathbb{R}{}^d) in L_q (\mathbb{R}{}^d) (1 \leqslant q \leqslant p< \infty )$ . The weak asymptotic behavior is established for the corresponding quantities.展开更多
Extensive numerical simulations and scaling analysis are performed to investigate competitive growth between the linear and nonlinear stochastic dynamic growth systems, which belong to the Edwards–Wilkinson(EW) and K...Extensive numerical simulations and scaling analysis are performed to investigate competitive growth between the linear and nonlinear stochastic dynamic growth systems, which belong to the Edwards–Wilkinson(EW) and Kardar–Parisi–Zhang(KPZ) universality classes, respectively. The linear growth systems include the EW equation and the model of random deposition with surface relaxation(RDSR), the nonlinear growth systems involve the KPZ equation and typical discrete models including ballistic deposition(BD), etching, and restricted solid on solid(RSOS). The scaling exponents are obtained in both the(1 + 1)-and(2 + 1)-dimensional competitive growth with the nonlinear growth probability p and the linear proportion 1-p. Our results show that, when p changes from 0 to 1, there exist non-trivial crossover effects from EW to KPZ universality classes based on different competitive growth rules. Furthermore, the growth rate and the porosity are also estimated within various linear and nonlinear growths of cooperation and competition.展开更多
Based on the characteristics of College English teaching in minority classes,this paper analyzes the ideological and political teaching cases of College English courses in ethnic minority classes from four aspects:bef...Based on the characteristics of College English teaching in minority classes,this paper analyzes the ideological and political teaching cases of College English courses in ethnic minority classes from four aspects:before-class,in-class(flipped classroom teaching),after-class,and teaching design feedback(feedback on students’learning situation,teaching content and methods),starts from the three aspects of knowledge impartation,ability improvement,and value guidance,and integrates the course ideology and politics into the theme,language,and reality,so as to form a“one point and three sides”course ideological and political teaching model.展开更多
Based on Bloom’s“effective teaching theory,”this paper proposes pre-class activities to improve students’enthusiasm and autonomy in English learning.These include sentence construction,situational dubbing,famous q...Based on Bloom’s“effective teaching theory,”this paper proposes pre-class activities to improve students’enthusiasm and autonomy in English learning.These include sentence construction,situational dubbing,famous quotes,English songs,English games,Chinese stories,regional cultures,and theme debates,which combine life,interest,and inspiration as the main characteristics.The activities can enhance the sense of participation and achievement of all students to achieve the purpose of effective teaching.展开更多
Teaching large,heterogeneous English class is now a teaching fact in China.It brings a lot of practical problems to English teachers who teach that kind of class because of the existence of differences among learners....Teaching large,heterogeneous English class is now a teaching fact in China.It brings a lot of practical problems to English teachers who teach that kind of class because of the existence of differences among learners.This paper aims to provide practical principles illustrated by some scholars to address problems appeared in those classes and achieve the aim of better learning for all members of the class.展开更多
Let M(u) be an N function, A=D r+∑r-1k=0a k(x)D k a linear differential operator and W M(A) the Sobolev Orlicz class defined by M(u) and A. In this paper we give the asymptotic estimates...Let M(u) be an N function, A=D r+∑r-1k=0a k(x)D k a linear differential operator and W M(A) the Sobolev Orlicz class defined by M(u) and A. In this paper we give the asymptotic estimates of the n K width d n(W M(A),L 2[0,1]) .展开更多
Let M(u) be an N function, A=D r+∑r-1k=0a k(x)D k a linear differential operator and W M(A) the Sobolev Orlicz class defined by M(u) and A. In this paper we give the asymptotic estimates...Let M(u) be an N function, A=D r+∑r-1k=0a k(x)D k a linear differential operator and W M(A) the Sobolev Orlicz class defined by M(u) and A. In this paper we give the asymptotic estimates of the n K width d n(W M(A),L 2[0,1]) .展开更多
With more and more people who are jumping into the line of learning the second language (especially English),and also due to the limited resources in language teaching,many foreign language teachers are nowadays confr...With more and more people who are jumping into the line of learning the second language (especially English),and also due to the limited resources in language teaching,many foreign language teachers are nowadays confronting the large classes when teaching.So how to teach foreign language effectively in large classes has become an issue as well as a special field to make researches in.展开更多
In recent years, the scale of enrollment of college students has been expanded. As a result, in colleges teachers are badly needed for the basic course of college English. To solve this problem, big classes are adopte...In recent years, the scale of enrollment of college students has been expanded. As a result, in colleges teachers are badly needed for the basic course of college English. To solve this problem, big classes are adopted for college English teaching in some universities. And scientific management can guarantee the quality of college English teaching of big classes. Finally, this article introduces four tactics to manage college English teaching of big classes.展开更多
Translation teaching in college English classes is highly teacher-centered, so students are not fully motivated and therefore lack basic interests to fulfill these tasks. In order for students to be more involved and ...Translation teaching in college English classes is highly teacher-centered, so students are not fully motivated and therefore lack basic interests to fulfill these tasks. In order for students to be more involved and more learning independent, translation teaching needs to become student-centered and task-based. This paper discusses the theoretical basis of this teaching method and suggests possible ways to use the method.展开更多
A series of study and investigation has been made on the basis of the theory of group work. The purpose is to study the effectiveness of group work in the interaction class, thus to attract more English teachers＇ att...A series of study and investigation has been made on the basis of the theory of group work. The purpose is to study the effectiveness of group work in the interaction class, thus to attract more English teachers＇ attention to seek for the new approach to the breakthrough of traditional English class mode.展开更多
In this paper,we consider some generalizations of tilting torsion classes and cotilting torsion-free classes,give the definition and characterizations of n-tilting torsion classes and n-cotilting torsion-free classes,...In this paper,we consider some generalizations of tilting torsion classes and cotilting torsion-free classes,give the definition and characterizations of n-tilting torsion classes and n-cotilting torsion-free classes,and study n-tilting preenvelopes and n-cotilting precovers.展开更多
Utilization of heterosis to develop hybrid cultivars can significantly increase yield of most crops including foxtail millet. However, previous foxtail millet hybrid cultivars have been largely developed from crosses ...Utilization of heterosis to develop hybrid cultivars can significantly increase yield of most crops including foxtail millet. However, previous foxtail millet hybrid cultivars have been largely developed from crosses between sterile lines and conventional varieties or between sterile lines and varieties that are geographically distent from the sterile lines. The research on classification of heterotic classes and determinetaion of heterotic patterns has not been reported, which results in uncertainty in selection of parents for crosses and delays progress in utilization of high yielding hybrids in large-scale commercial production. In this study, a core collection of 128 accessions from China was grouped into six classes using combined analyses of population structure, pedigree, and clustering. The classification was conducted based mainly on molecular clustering of genotypic data, also considered the population structure and mathematical clustering using phenotypic data, and was finally validated through pedigree analysis. According to the transgressive and superstandard heterosis for grain yield, plant height, panicle length, panicle diameter, single panicle weight, grain weight per panicle, and 1000-grain weight collected from an incomplete-diallel-cross experiment, we identified six superior heterosis patterns (C2/C1, C2/C4, C2/C5, C2/C6, C1/C5 and C4/C5) and four inferior heterosis patterns (C1/C3, C1/C4, C1/C6 and C4/C6), and explored their potential applications in millet hybrid breeding. This study laid a foundation for effective use of foxtail millet heterosis in improving millet hybrid yield.展开更多
Let R be an integral domain of characteristic zero such that the corresponding group rings have block decompositions. We first prove that the submodule consisting of all the R-valued ξi-symmetric functions of several...Let R be an integral domain of characteristic zero such that the corresponding group rings have block decompositions. We first prove that the submodule consisting of all the R-valued ξi-symmetric functions of several variables is a symmetry class, where ξi is any block character. Then we present a relationship among certain operators introduced for block character. Then we present a relationship among certain operators introduced for block characters. As a consequence, we obtain a decomposition of an arbitrary R-valued function of several variables. Finally, we describe the symmetry property of such summands and determine all the symmetry classes.展开更多
Interest is the key role in English learning. Thus, English teachers should take effective ways to raise students'interests in teaching classes. Scientific investigation has proved that using effective approaches ...Interest is the key role in English learning. Thus, English teachers should take effective ways to raise students'interests in teaching classes. Scientific investigation has proved that using effective approaches certainly helps arousing students'interests in English teaching.展开更多
With globalization there is an increasing need for spoken English for Chinese college students. However, the situation of the teaching system of spoken English in most universities in China is not satisfactory. Influe...With globalization there is an increasing need for spoken English for Chinese college students. However, the situation of the teaching system of spoken English in most universities in China is not satisfactory. Influenced by the exam-oriented teaching system, great importance has been put on English grammar and the skills of reading and writing. As a result, students'enthusiasm in improving their spoken English is diminished. Actually, students need some knowledge about English culture background before they can communicate effectively. It is significant for teachers to find out the students'wants and lacks during their spoken English study. Besides, attentions should be paid to English culture background in spoken English classes by both teachers and students. This paper mainly aimed at finding out the needs of students for English culture background in spoken English classes based on the theory of needs analysis.展开更多
文摘This paper concerns the problem of average σ-width of Sobolev–Wiener classes , and Besov-Wiener classes in the metric L q (R d ) for 1 ≤ q ≤ p ≤ ∞. The weak asymptotic results concerning the average linear widths, the average Bernstein widths and the infinite-dimensional Gel’fand widths are obtained, respectively.
文摘This paper concerns the problem of average σ-K width and average σ-L width of some anisotropic Besov-Wiener classes $S_{pq\theta }^r b(\mathbb{R}{}^d) and S_{pq\theta }^r B(\mathbb{R}{}^d) in L_q (\mathbb{R}{}^d) (1 \leqslant q \leqslant p< \infty )$ . The weak asymptotic behavior is established for the corresponding quantities.
基金supported by Undergraduate Training Program for Innovation and Entrepreneurship of China University of Mining and Technology (CUMT)(Grant No. 202110290059Z)Fundamental Research Funds for the Central Universities of CUMT (Grant No. 2020ZDPYMS33)。
文摘Extensive numerical simulations and scaling analysis are performed to investigate competitive growth between the linear and nonlinear stochastic dynamic growth systems, which belong to the Edwards–Wilkinson(EW) and Kardar–Parisi–Zhang(KPZ) universality classes, respectively. The linear growth systems include the EW equation and the model of random deposition with surface relaxation(RDSR), the nonlinear growth systems involve the KPZ equation and typical discrete models including ballistic deposition(BD), etching, and restricted solid on solid(RSOS). The scaling exponents are obtained in both the(1 + 1)-and(2 + 1)-dimensional competitive growth with the nonlinear growth probability p and the linear proportion 1-p. Our results show that, when p changes from 0 to 1, there exist non-trivial crossover effects from EW to KPZ universality classes based on different competitive growth rules. Furthermore, the growth rate and the porosity are also estimated within various linear and nonlinear growths of cooperation and competition.
基金Research Topic of Higher Education of Heilongjiang Higher Education Society(Research on Innovation of English Teaching Curriculum Construction System for Minority Classes in Colleges and Universities Under Digital Empowerment(Fund No.23GJYBJ022)Reform and Innovation Project of Foreign Language Education in Undergraduate Colleges in Heilongjiang Province(Research on the Construction of Ubiquitous Learning Mode of Integrating College English Humanistic Literacy and Language Skills Under the Background of New Engineering(Fund No.HWX2022004-A)Research on the Construction and Effectiveness of College English 4I Seminar Teaching Mode Under the Background of the General Project of Provincial Higher Education Teaching Reform in 2021“First-Class Undergraduate Course”(Fund No.SJGY20210164).
文摘Based on the characteristics of College English teaching in minority classes,this paper analyzes the ideological and political teaching cases of College English courses in ethnic minority classes from four aspects:before-class,in-class(flipped classroom teaching),after-class,and teaching design feedback(feedback on students’learning situation,teaching content and methods),starts from the three aspects of knowledge impartation,ability improvement,and value guidance,and integrates the course ideology and politics into the theme,language,and reality,so as to form a“one point and three sides”course ideological and political teaching model.
文摘Based on Bloom’s“effective teaching theory,”this paper proposes pre-class activities to improve students’enthusiasm and autonomy in English learning.These include sentence construction,situational dubbing,famous quotes,English songs,English games,Chinese stories,regional cultures,and theme debates,which combine life,interest,and inspiration as the main characteristics.The activities can enhance the sense of participation and achievement of all students to achieve the purpose of effective teaching.
文摘Teaching large,heterogeneous English class is now a teaching fact in China.It brings a lot of practical problems to English teachers who teach that kind of class because of the existence of differences among learners.This paper aims to provide practical principles illustrated by some scholars to address problems appeared in those classes and achieve the aim of better learning for all members of the class.
文摘Let M(u) be an N function, A=D r+∑r-1k=0a k(x)D k a linear differential operator and W M(A) the Sobolev Orlicz class defined by M(u) and A. In this paper we give the asymptotic estimates of the n K width d n(W M(A),L 2[0,1]) .
文摘Let M(u) be an N function, A=D r+∑r-1k=0a k(x)D k a linear differential operator and W M(A) the Sobolev Orlicz class defined by M(u) and A. In this paper we give the asymptotic estimates of the n K width d n(W M(A),L 2[0,1]) .
文摘With more and more people who are jumping into the line of learning the second language (especially English),and also due to the limited resources in language teaching,many foreign language teachers are nowadays confronting the large classes when teaching.So how to teach foreign language effectively in large classes has become an issue as well as a special field to make researches in.
文摘In recent years, the scale of enrollment of college students has been expanded. As a result, in colleges teachers are badly needed for the basic course of college English. To solve this problem, big classes are adopted for college English teaching in some universities. And scientific management can guarantee the quality of college English teaching of big classes. Finally, this article introduces four tactics to manage college English teaching of big classes.
文摘Translation teaching in college English classes is highly teacher-centered, so students are not fully motivated and therefore lack basic interests to fulfill these tasks. In order for students to be more involved and more learning independent, translation teaching needs to become student-centered and task-based. This paper discusses the theoretical basis of this teaching method and suggests possible ways to use the method.
文摘A series of study and investigation has been made on the basis of the theory of group work. The purpose is to study the effectiveness of group work in the interaction class, thus to attract more English teachers＇ attention to seek for the new approach to the breakthrough of traditional English class mode.
基金Supported by the 2018 Scientific Research Projects in Universities of Gansu Province(2018A-269)
文摘In this paper,we consider some generalizations of tilting torsion classes and cotilting torsion-free classes,give the definition and characterizations of n-tilting torsion classes and n-cotilting torsion-free classes,and study n-tilting preenvelopes and n-cotilting precovers.
文摘Utilization of heterosis to develop hybrid cultivars can significantly increase yield of most crops including foxtail millet. However, previous foxtail millet hybrid cultivars have been largely developed from crosses between sterile lines and conventional varieties or between sterile lines and varieties that are geographically distent from the sterile lines. The research on classification of heterotic classes and determinetaion of heterotic patterns has not been reported, which results in uncertainty in selection of parents for crosses and delays progress in utilization of high yielding hybrids in large-scale commercial production. In this study, a core collection of 128 accessions from China was grouped into six classes using combined analyses of population structure, pedigree, and clustering. The classification was conducted based mainly on molecular clustering of genotypic data, also considered the population structure and mathematical clustering using phenotypic data, and was finally validated through pedigree analysis. According to the transgressive and superstandard heterosis for grain yield, plant height, panicle length, panicle diameter, single panicle weight, grain weight per panicle, and 1000-grain weight collected from an incomplete-diallel-cross experiment, we identified six superior heterosis patterns (C2/C1, C2/C4, C2/C5, C2/C6, C1/C5 and C4/C5) and four inferior heterosis patterns (C1/C3, C1/C4, C1/C6 and C4/C6), and explored their potential applications in millet hybrid breeding. This study laid a foundation for effective use of foxtail millet heterosis in improving millet hybrid yield.
文摘Let R be an integral domain of characteristic zero such that the corresponding group rings have block decompositions. We first prove that the submodule consisting of all the R-valued ξi-symmetric functions of several variables is a symmetry class, where ξi is any block character. Then we present a relationship among certain operators introduced for block character. Then we present a relationship among certain operators introduced for block characters. As a consequence, we obtain a decomposition of an arbitrary R-valued function of several variables. Finally, we describe the symmetry property of such summands and determine all the symmetry classes.
文摘Interest is the key role in English learning. Thus, English teachers should take effective ways to raise students'interests in teaching classes. Scientific investigation has proved that using effective approaches certainly helps arousing students'interests in English teaching.
文摘With globalization there is an increasing need for spoken English for Chinese college students. However, the situation of the teaching system of spoken English in most universities in China is not satisfactory. Influenced by the exam-oriented teaching system, great importance has been put on English grammar and the skills of reading and writing. As a result, students'enthusiasm in improving their spoken English is diminished. Actually, students need some knowledge about English culture background before they can communicate effectively. It is significant for teachers to find out the students'wants and lacks during their spoken English study. Besides, attentions should be paid to English culture background in spoken English classes by both teachers and students. This paper mainly aimed at finding out the needs of students for English culture background in spoken English classes based on the theory of needs analysis.
