1.The paper should contain original unpublished work and is not being submitted for publication elsewhere.Manuscripts should be written in English.A short abstract(not exceeding 100 words),up to five key words,and 200...1.The paper should contain original unpublished work and is not being submitted for publication elsewhere.Manuscripts should be written in English.A short abstract(not exceeding 100 words),up to five key words,and 2000 Mathematics Subject Classification should be provided.An abbreviated title(not exceeding 35 characters)to be used as a running head is also required.If there are more than one author for a paper,the name and the e-mail address of the corresponding author(i.e.the author to be contacted)should be indicated.展开更多
1.The paper should contain original unpublished work and is not being submitted for publication elsewhere.Manuscripts should be written in English.A short abstract (not exceeding 100 words),up to five key words,and 20...1.The paper should contain original unpublished work and is not being submitted for publication elsewhere.Manuscripts should be written in English.A short abstract (not exceeding 100 words),up to five key words,and 2000 Mathematics Subject Classification should be provided.An abbreviated title (not exceeding 35 characters) to be used as a running head is also required.If there are more than one author for a paper,the name and the e-mail address of the corresponding author (i.e.the author to be contacted) should be indicated.展开更多
1.The paper should contain original unpublished work and is not being submitted for publication elsewhere.Manuscripts should be written in English.A short abstract (not exceeding 100 words),up to five key words,and 20...1.The paper should contain original unpublished work and is not being submitted for publication elsewhere.Manuscripts should be written in English.A short abstract (not exceeding 100 words),up to five key words,and 2000 Mathematics Subject Classification should be provided.An abbreviated title (not exceeding 35 characters) to be used as a running head is also required.If there are more than one author for a paper,the name and the e-mail address of the corresponding author (i.e.the author to be contacted) should be indicated.展开更多
《光学原理》课程作为光学相关专业的核心基础课程,其内容涵盖了光的干涉、衍射、偏振、光的电磁理论以及光在不同介质中的传播特性等,具有理论抽象、公式推导复杂等特点。传统教学模式下,学生对课程内容的理解和掌握存在较大难度,学习...《光学原理》课程作为光学相关专业的核心基础课程,其内容涵盖了光的干涉、衍射、偏振、光的电磁理论以及光在不同介质中的传播特性等,具有理论抽象、公式推导复杂等特点。传统教学模式下,学生对课程内容的理解和掌握存在较大难度,学习兴趣和积极性不高等问题。本文探讨了利用Mathematica软件的可视化功能辅助《光学原理》课程教学的改革方法,通过将抽象的物理概念和复杂的数学公式转化为直观的图形和动画,降低学生的学习难度,提高教学效果。As a core basic course for optics-related majors, the course “Principles of Optics” covers the interference, diffraction, polarization of light, the electromagnetic theory of light, and the propagation characteristics of light in different media. It is characterized by abstract theories and complex formula derivations. Under the traditional teaching mode, students have great difficulties in understanding and mastering the course content, and there are problems such as low learning interest and enthusiasm. This paper explores the reform method of using the visualization function of Mathematica software to assist the teaching of the course “Principles of Optics”. By transforming abstract physical concepts and complex mathematical formulas into intuitive graphics and animations, it reduces students’ learning difficulties and improves the teaching effect.展开更多
Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized(η,ρ)-Invex Functions—G.J.Zalmai,Qing-hong Zhang A semi-infinite programming problem is a mathematica...Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized(η,ρ)-Invex Functions—G.J.Zalmai,Qing-hong Zhang A semi-infinite programming problem is a mathematical programming problem with a finite number of variables and infinitely many constraints.Duality theories and展开更多
1.The paper should contain original unpublished work and is not being submitted for publication elsewhere.Manuscripts should be written in English.A short abstract(not exceeding 100 words),up to five key words,and 200...1.The paper should contain original unpublished work and is not being submitted for publication elsewhere.Manuscripts should be written in English.A short abstract(not exceeding 100 words),up to five key words,and 2000 Mathematics Subject Classification should be provided.An abbreviated title(not exceeding 35 characters)to be used as a running head is also required.If there are more than one author for a paper.展开更多
Convergence of Solutions of Discrete Reflected Backward SDE's and Simulations—Jean Mémin,Shi-ge Peng,Ming-yu Xu The objective of this paper is to introduce elementary discrete reflected backward equa- tions ...Convergence of Solutions of Discrete Reflected Backward SDE's and Simulations—Jean Mémin,Shi-ge Peng,Ming-yu Xu The objective of this paper is to introduce elementary discrete reflected backward equa- tions and to give a simple method to discretize in time a(continuous)reflected backward equation.A presentation of numerical simulations is also described.展开更多
Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized(η,ρ)-Invex Functions—G.J.Zalmai,Qing-hong Zhang A semi-infinite programming problem is a mathematica...Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized(η,ρ)-Invex Functions—G.J.Zalmai,Qing-hong Zhang A semi-infinite programming problem is a mathematical programming problem with a finite number of variables and infinitely many constraints.Duality theories and展开更多
Nonexistence and Existence of Multiple Positive Solutions for Superlinear Three-point Boundary Value Problems via Index Theory—Bao-qiang Yan,Donal O'Regan,Ravi P.Agarwal This paper discusses both the nonexistence...Nonexistence and Existence of Multiple Positive Solutions for Superlinear Three-point Boundary Value Problems via Index Theory—Bao-qiang Yan,Donal O'Regan,Ravi P.Agarwal This paper discusses both the nonexistence of positive solutions for second-order three-展开更多
Two-Dimensional Regular Shock Reflection for the Pressure Gradient System of Conservation Laws - Yuxi Zheng We establish the existence of a global solution to a regular reflection of a shock hitting a ramp for the pre...Two-Dimensional Regular Shock Reflection for the Pressure Gradient System of Conservation Laws - Yuxi Zheng We establish the existence of a global solution to a regular reflection of a shock hitting a ramp for the pressure gradient system of equations. The set-up of the reflection is the same as that of Mach's experiment for the compressible Euler system, i.e., a straight shock hitting a ramp. We assume that the angle of the ramp is close to 90 degrees. The solution has展开更多
EXISTENCE OF THREE POSITIVE SOLUTIONS FOR QUASI-LINEAR BOUND- ARY VALUE PROBLEM-Jing-li Ren,Wei-gao Ge,Bao-xian Ren In this paper,we prove a new fixed point theorem in cones and obtain the existence of triple positive...EXISTENCE OF THREE POSITIVE SOLUTIONS FOR QUASI-LINEAR BOUND- ARY VALUE PROBLEM-Jing-li Ren,Wei-gao Ge,Bao-xian Ren In this paper,we prove a new fixed point theorem in cones and obtain the existence of triple positive solutions for a class of quasi—linear three—point boundary value problems.展开更多
Instructions to Authors The following instructions should be observed in preparing the manuscript: 1. The complete manuscript should be written in English. The desired order of contentsis Title, Author(s) and Affiliat...Instructions to Authors The following instructions should be observed in preparing the manuscript: 1. The complete manuscript should be written in English. The desired order of contentsis Title, Author(s) and Affiliations, Abstract, Main Text, Acknowledgements, References andAppendices. Tables and Illustrations, complete with titles, labels and art work, should be展开更多
文摘1.The paper should contain original unpublished work and is not being submitted for publication elsewhere.Manuscripts should be written in English.A short abstract(not exceeding 100 words),up to five key words,and 2000 Mathematics Subject Classification should be provided.An abbreviated title(not exceeding 35 characters)to be used as a running head is also required.If there are more than one author for a paper,the name and the e-mail address of the corresponding author(i.e.the author to be contacted)should be indicated.
文摘1.The paper should contain original unpublished work and is not being submitted for publication elsewhere.Manuscripts should be written in English.A short abstract (not exceeding 100 words),up to five key words,and 2000 Mathematics Subject Classification should be provided.An abbreviated title (not exceeding 35 characters) to be used as a running head is also required.If there are more than one author for a paper,the name and the e-mail address of the corresponding author (i.e.the author to be contacted) should be indicated.
文摘1.The paper should contain original unpublished work and is not being submitted for publication elsewhere.Manuscripts should be written in English.A short abstract (not exceeding 100 words),up to five key words,and 2000 Mathematics Subject Classification should be provided.An abbreviated title (not exceeding 35 characters) to be used as a running head is also required.If there are more than one author for a paper,the name and the e-mail address of the corresponding author (i.e.the author to be contacted) should be indicated.
文摘《光学原理》课程作为光学相关专业的核心基础课程,其内容涵盖了光的干涉、衍射、偏振、光的电磁理论以及光在不同介质中的传播特性等,具有理论抽象、公式推导复杂等特点。传统教学模式下,学生对课程内容的理解和掌握存在较大难度,学习兴趣和积极性不高等问题。本文探讨了利用Mathematica软件的可视化功能辅助《光学原理》课程教学的改革方法,通过将抽象的物理概念和复杂的数学公式转化为直观的图形和动画,降低学生的学习难度,提高教学效果。As a core basic course for optics-related majors, the course “Principles of Optics” covers the interference, diffraction, polarization of light, the electromagnetic theory of light, and the propagation characteristics of light in different media. It is characterized by abstract theories and complex formula derivations. Under the traditional teaching mode, students have great difficulties in understanding and mastering the course content, and there are problems such as low learning interest and enthusiasm. This paper explores the reform method of using the visualization function of Mathematica software to assist the teaching of the course “Principles of Optics”. By transforming abstract physical concepts and complex mathematical formulas into intuitive graphics and animations, it reduces students’ learning difficulties and improves the teaching effect.
文摘Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized(η,ρ)-Invex Functions—G.J.Zalmai,Qing-hong Zhang A semi-infinite programming problem is a mathematical programming problem with a finite number of variables and infinitely many constraints.Duality theories and
文摘1.The paper should contain original unpublished work and is not being submitted for publication elsewhere.Manuscripts should be written in English.A short abstract(not exceeding 100 words),up to five key words,and 2000 Mathematics Subject Classification should be provided.An abbreviated title(not exceeding 35 characters)to be used as a running head is also required.If there are more than one author for a paper.
文摘Convergence of Solutions of Discrete Reflected Backward SDE's and Simulations—Jean Mémin,Shi-ge Peng,Ming-yu Xu The objective of this paper is to introduce elementary discrete reflected backward equa- tions and to give a simple method to discretize in time a(continuous)reflected backward equation.A presentation of numerical simulations is also described.
文摘Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized(η,ρ)-Invex Functions—G.J.Zalmai,Qing-hong Zhang A semi-infinite programming problem is a mathematical programming problem with a finite number of variables and infinitely many constraints.Duality theories and
文摘Nonexistence and Existence of Multiple Positive Solutions for Superlinear Three-point Boundary Value Problems via Index Theory—Bao-qiang Yan,Donal O'Regan,Ravi P.Agarwal This paper discusses both the nonexistence of positive solutions for second-order three-
文摘Two-Dimensional Regular Shock Reflection for the Pressure Gradient System of Conservation Laws - Yuxi Zheng We establish the existence of a global solution to a regular reflection of a shock hitting a ramp for the pressure gradient system of equations. The set-up of the reflection is the same as that of Mach's experiment for the compressible Euler system, i.e., a straight shock hitting a ramp. We assume that the angle of the ramp is close to 90 degrees. The solution has
文摘EXISTENCE OF THREE POSITIVE SOLUTIONS FOR QUASI-LINEAR BOUND- ARY VALUE PROBLEM-Jing-li Ren,Wei-gao Ge,Bao-xian Ren In this paper,we prove a new fixed point theorem in cones and obtain the existence of triple positive solutions for a class of quasi—linear three—point boundary value problems.
文摘Instructions to Authors The following instructions should be observed in preparing the manuscript: 1. The complete manuscript should be written in English. The desired order of contentsis Title, Author(s) and Affiliations, Abstract, Main Text, Acknowledgements, References andAppendices. Tables and Illustrations, complete with titles, labels and art work, should be
