In this paper, some approximation formulae for a class of convolution type double singular integral operators depending on three parameters of the type(T_λf)(x, y) = ∫_a^b ∫_a^b f(t, s)K_λ(t-x,s-y)dsdt, x,y ∈(a,...In this paper, some approximation formulae for a class of convolution type double singular integral operators depending on three parameters of the type(T_λf)(x, y) = ∫_a^b ∫_a^b f(t, s)K_λ(t-x,s-y)dsdt, x,y ∈(a,b), λ ∈ Λ [0,∞),(0.1)are given. Here f belongs to the function space L_1( <a,b >~2), where <a,b> is an arbitrary interval in R. In this paper three theorems are proved, one for existence of the operator(T_λf)(x, y) and the others for its Fatou-type pointwise convergence to f(x_0, y_0), as(x,y,λ) tends to(x_0, y_0, λ_0). In contrast to previous works, the kernel functions K_λ(u,v)don't have to be 2π-periodic, positive, even and radial. Our results improve and extend some of the previous results of [1, 6, 8, 10, 11, 13] in three dimensional frame and especially the very recent paper [15].展开更多
Abstract: A new pyrometer, which can solve the affection of emissivity change in temperature measuring, has been developed by double Y - type optical fibers. The mathematical model of the new pyrometer is presented an...Abstract: A new pyrometer, which can solve the affection of emissivity change in temperature measuring, has been developed by double Y - type optical fibers. The mathematical model of the new pyrometer is presented and the errors of the new pyrometer are analyzed.展开更多
In order to solve the problem of insufficient integration of school-enterprise supervisors in the current school-enterprise cooperation model,this article introduces the ideas and results of the construction of a team...In order to solve the problem of insufficient integration of school-enterprise supervisors in the current school-enterprise cooperation model,this article introduces the ideas and results of the construction of a team with double-qualified instructors majored in software engineering.Specifically,the integration of production and education are carried out in three stages,i.e.,enterprise cooperation courses,enterprise internship,and graduation design(internship),by taking the software engineering major of the School of Information and Software Engineering of the University of Electronic Science and Technology of China as a case study.展开更多
. Applied Mathematics A Journal of Chinese Universities, abbreviated to Appl. Math.-- JCU, is a nationwide journal sponsored by Zhejiang University' The Journal aims at issuing academic works in Applied Mathematic.... Applied Mathematics A Journal of Chinese Universities, abbreviated to Appl. Math.-- JCU, is a nationwide journal sponsored by Zhejiang University' The Journal aims at issuing academic works in Applied Mathematics: original theoretical and (or) methodological research results, and innovative applications in practical fields. From 1994 on, one volume will be publishedper annum,consisting of four issues in chinese, appeared quarterly as Ser. A,and four issues inEnglish, appeared quarterly as Ser. B. Contents in the two series will'not overlap. The Journal isdistributed domestically and abroad.2. Instructions to author(s)Appl. Math. -- JCU Ser. B publishes full length papers. In view of the high cost of printing, authors should keep their papers as short as are consistent with clarity' Unnecessary introductory material should be avoided. Graphical presentation of information should be confined toas few separate diagrams as are practicable. The rules of grammar should be observed.The submission of an article will be taken to indicate that it has not been and will not be submitted for publication elsewhere.Script Requirements for All ArticlesManuscript: The manuscript must be typed in English double--spaced on one side of A4 goodquality white paper. The maximum length of an article is 15 pages, including diagrams and tables. Two copies of an article are reguired for submission (not to be returned).Abstract A short Abstract not exceeding 200 words should appear at the beginning of the paper after the title, name (s) of author (s), affiliation(s) and address (es). It should contain no reference and mathematical symbols should be kept to a minumum.展开更多
文摘In this paper, some approximation formulae for a class of convolution type double singular integral operators depending on three parameters of the type(T_λf)(x, y) = ∫_a^b ∫_a^b f(t, s)K_λ(t-x,s-y)dsdt, x,y ∈(a,b), λ ∈ Λ [0,∞),(0.1)are given. Here f belongs to the function space L_1( <a,b >~2), where <a,b> is an arbitrary interval in R. In this paper three theorems are proved, one for existence of the operator(T_λf)(x, y) and the others for its Fatou-type pointwise convergence to f(x_0, y_0), as(x,y,λ) tends to(x_0, y_0, λ_0). In contrast to previous works, the kernel functions K_λ(u,v)don't have to be 2π-periodic, positive, even and radial. Our results improve and extend some of the previous results of [1, 6, 8, 10, 11, 13] in three dimensional frame and especially the very recent paper [15].
文摘Abstract: A new pyrometer, which can solve the affection of emissivity change in temperature measuring, has been developed by double Y - type optical fibers. The mathematical model of the new pyrometer is presented and the errors of the new pyrometer are analyzed.
基金This work was supported by the Research and Practice of School-enterprise Collaborative Construction of Double Qualified Teachers in Software Engineering“Construction of Double Qualified Teachers in Software Engineering Based on Enterprise and School Cooperation”(Grant No.2020CJ01)the Fundamental Research Funds for the Central Universities of UESTC(Policy Research)“The System Construction of Ideological and Political Education under Training of Excellent Engineer”(Grant No.ZYGX2020ZCYJ027).
文摘In order to solve the problem of insufficient integration of school-enterprise supervisors in the current school-enterprise cooperation model,this article introduces the ideas and results of the construction of a team with double-qualified instructors majored in software engineering.Specifically,the integration of production and education are carried out in three stages,i.e.,enterprise cooperation courses,enterprise internship,and graduation design(internship),by taking the software engineering major of the School of Information and Software Engineering of the University of Electronic Science and Technology of China as a case study.
文摘. Applied Mathematics A Journal of Chinese Universities, abbreviated to Appl. Math.-- JCU, is a nationwide journal sponsored by Zhejiang University' The Journal aims at issuing academic works in Applied Mathematics: original theoretical and (or) methodological research results, and innovative applications in practical fields. From 1994 on, one volume will be publishedper annum,consisting of four issues in chinese, appeared quarterly as Ser. A,and four issues inEnglish, appeared quarterly as Ser. B. Contents in the two series will'not overlap. The Journal isdistributed domestically and abroad.2. Instructions to author(s)Appl. Math. -- JCU Ser. B publishes full length papers. In view of the high cost of printing, authors should keep their papers as short as are consistent with clarity' Unnecessary introductory material should be avoided. Graphical presentation of information should be confined toas few separate diagrams as are practicable. The rules of grammar should be observed.The submission of an article will be taken to indicate that it has not been and will not be submitted for publication elsewhere.Script Requirements for All ArticlesManuscript: The manuscript must be typed in English double--spaced on one side of A4 goodquality white paper. The maximum length of an article is 15 pages, including diagrams and tables. Two copies of an article are reguired for submission (not to be returned).Abstract A short Abstract not exceeding 200 words should appear at the beginning of the paper after the title, name (s) of author (s), affiliation(s) and address (es). It should contain no reference and mathematical symbols should be kept to a minumum.
