This document is a curriculum vitae for Dr. Poonam Kumar Sharma that includes the following key details:
- Educational background including a Ph.D. from Jamia Millia Islamia University and areas of interest in modern algebra, topology, and fuzzy mathematics.
- Work experience as an Associate Professor at DAV College in Jalandhar, India since 1994 with additional responsibilities like organizing conferences.
- Publications including 8 authored mathematics textbooks, over 40 research papers in international journals, and presentations at conferences.
- Areas of research focus on intuitionistic fuzzy structures in algebraic systems like groups, rings, and modules.
Bio data ( dr.p.k.sharma) as on april 2016DR.P.K. SHARMA
This curriculum vitae outlines the educational and professional background of Dr. Poonam Kumar Sharma. She holds a PhD in mathematics from Jamia Millia Islamia University and has over 20 years of experience as an Associate Professor of Mathematics. Her research focuses on areas like modern algebra, topology, and fuzzy mathematics. She has published over 50 research papers and written textbooks on various mathematics topics.
Bio-data ( DR.P.K.SHARMA) as on 1st October 2016DR.P.K. SHARMA
This curriculum vitae outlines the educational and professional background of Dr. Poonam Kumar Sharma. Some key details include:
- She holds a Ph.D. in mathematics from Jamia Millia Islamia University and has taught as an associate professor since 1994.
- Her research interests include modern algebra, topology, and fuzzy mathematics. She has published over 50 research papers and authored several textbooks.
- She has held various organizational roles, including organizing national conferences on mathematics and coordinating a teacher workshop. She has also presented research abroad in the US and Bulgaria.
This document is a curriculum vitae that provides biographical information about Hemant Kumar Nashine. It includes his education history, with degrees including a PhD in mathematics from 2007-2010. It also lists his employment history teaching mathematics at various universities in India from 2001-2015. Finally, it provides a bibliography of his 195 journal publications between 2004-2016, with several papers accepted or under review.
Riccati matrix differential equation has long been known to be so difficult to solve analytically and/or numerically. In this connection, most of the recent studies are concerned with the derivation of the necessary conditions that ensure the existence of the solution. Therefore, in this paper, He’s Variational iteration method is used to derive the general form of the iterative approximate sequence of solutions and then proved the convergence of the obtained sequence of approximate solutions to the exact solution. This proof is based on using the mathematical induction to derive a general formula for the upper bound proved to be converging to zero under certain conditions.
Numerical Investigation of Higher Order Nonlinear Problem in the Calculus Of ...IOSR Journals
This document presents a numerical investigation of higher order nonlinear problems in calculus of variations using the Adomian decomposition method (ADM). It introduces ADM for solving such problems by reducing them to systems of nonlinear algebraic equations. An example problem is provided and solved numerically using both the single-term Haar wavelet series method (STHWS) and ADM. Error calculations and graphs demonstrate that ADM provides more accurate solutions than STHWS, with less complexity and error. The document concludes that ADM performs better for this type of problem in calculus of variations.
The document analyzes how secondary school mathematics textbooks teach the concept of functions between 1953-2010. It categorizes some textbooks using a "hybrid approach" that combines set theory concepts with a focus on graphical representations. This approach presents real-world problems that are then formalized mathematically. However, it is argued that this approach does not fully promote understanding of functions before their formalization and treats problems more as tasks than opportunities for conceptual development. The conceptualization of functions across different representation systems used in textbooks is also examined.
This document provides an overview and contents for a course on mathematical methods and models. It covers topics including numbers, standard functions, trigonometric functions, complex numbers, differentiation, integration, vector algebra, and differential equations. The first unit reviews foundational concepts like numbers, measurement, functions, calculus, and introduces the computer algebra package used in the course. Subsequent units cover first and second order differential equations, initial and boundary value problems, and vector algebra. The goal is to equip students with mathematical techniques for modeling real-world problems and to provide exercises for developing skills in applying these techniques.
Bio data ( dr.p.k.sharma) as on april 2016DR.P.K. SHARMA
This curriculum vitae outlines the educational and professional background of Dr. Poonam Kumar Sharma. She holds a PhD in mathematics from Jamia Millia Islamia University and has over 20 years of experience as an Associate Professor of Mathematics. Her research focuses on areas like modern algebra, topology, and fuzzy mathematics. She has published over 50 research papers and written textbooks on various mathematics topics.
Bio-data ( DR.P.K.SHARMA) as on 1st October 2016DR.P.K. SHARMA
This curriculum vitae outlines the educational and professional background of Dr. Poonam Kumar Sharma. Some key details include:
- She holds a Ph.D. in mathematics from Jamia Millia Islamia University and has taught as an associate professor since 1994.
- Her research interests include modern algebra, topology, and fuzzy mathematics. She has published over 50 research papers and authored several textbooks.
- She has held various organizational roles, including organizing national conferences on mathematics and coordinating a teacher workshop. She has also presented research abroad in the US and Bulgaria.
This document is a curriculum vitae that provides biographical information about Hemant Kumar Nashine. It includes his education history, with degrees including a PhD in mathematics from 2007-2010. It also lists his employment history teaching mathematics at various universities in India from 2001-2015. Finally, it provides a bibliography of his 195 journal publications between 2004-2016, with several papers accepted or under review.
Riccati matrix differential equation has long been known to be so difficult to solve analytically and/or numerically. In this connection, most of the recent studies are concerned with the derivation of the necessary conditions that ensure the existence of the solution. Therefore, in this paper, He’s Variational iteration method is used to derive the general form of the iterative approximate sequence of solutions and then proved the convergence of the obtained sequence of approximate solutions to the exact solution. This proof is based on using the mathematical induction to derive a general formula for the upper bound proved to be converging to zero under certain conditions.
Numerical Investigation of Higher Order Nonlinear Problem in the Calculus Of ...IOSR Journals
This document presents a numerical investigation of higher order nonlinear problems in calculus of variations using the Adomian decomposition method (ADM). It introduces ADM for solving such problems by reducing them to systems of nonlinear algebraic equations. An example problem is provided and solved numerically using both the single-term Haar wavelet series method (STHWS) and ADM. Error calculations and graphs demonstrate that ADM provides more accurate solutions than STHWS, with less complexity and error. The document concludes that ADM performs better for this type of problem in calculus of variations.
The document analyzes how secondary school mathematics textbooks teach the concept of functions between 1953-2010. It categorizes some textbooks using a "hybrid approach" that combines set theory concepts with a focus on graphical representations. This approach presents real-world problems that are then formalized mathematically. However, it is argued that this approach does not fully promote understanding of functions before their formalization and treats problems more as tasks than opportunities for conceptual development. The conceptualization of functions across different representation systems used in textbooks is also examined.
This document provides an overview and contents for a course on mathematical methods and models. It covers topics including numbers, standard functions, trigonometric functions, complex numbers, differentiation, integration, vector algebra, and differential equations. The first unit reviews foundational concepts like numbers, measurement, functions, calculus, and introduces the computer algebra package used in the course. Subsequent units cover first and second order differential equations, initial and boundary value problems, and vector algebra. The goal is to equip students with mathematical techniques for modeling real-world problems and to provide exercises for developing skills in applying these techniques.
This document provides an introduction and overview to Unit 13 of the course MST209 Mathematical methods and models. Unit 13 focuses on modelling systems using non-linear differential equations. It discusses two main examples - modeling the interaction between predator and prey populations using the Lotka-Volterra equations, and modeling the motion of a pendulum using differential equations. The unit emphasizes qualitative analysis and interpretation of solutions rather than explicit solutions. It introduces concepts like equilibrium solutions and linearizing near equilibria to understand behavior. Sections 1 and 2 develop these ideas for the Lotka-Volterra population model, while Section 3 applies similar techniques to the pendulum motion model.
In real-life decisions, usually we happen to suffer through different states of uncertainties. In order to counter these uncertainties, in this paper, the author formulated a transportation problem in which costs are triangular intuitionistic fuzzy numbers, supplies and demands are crisp numbers. In this paper, a simple method for solving type-2 intuitionistic fuzzy transportation problem (type-2 IFTP) is proposed and optimal solution is obtained without using intuitionistic fuzzy modified distribution method and intuitionistic fuzzy zero point method. So, the proposed method gives the optimal solution directly. The solution procedure is illustrated with the help of three real life numerical examples. Defect of existing results proposed by Singh and Yadav (2016a) is discussed. Validity of Pandian’s (2014) method is reviewed. Finally, the comparative study, results and discussion are given.
This document provides an introduction and contents overview for a unit on matrices and determinants. It discusses how matrices can be used to represent systems of linear equations and the matrix equation Ax = b. The unit will cover solving systems of linear equations using Gaussian elimination, properties of matrices, determinants, applications including polynomial interpolation and least squares approximations, and issues of ill-conditioning when solving systems numerically. Sections include simultaneous linear equations, properties of matrices, applications of matrices, ill-conditioning, and computing activities.
Application of Mathematics in Mechanical Engineeringijtsrd
Applied Mathematics have been successfully used in the development of science and technology in 20th –21st century. In Mechanical Engineers, an application of Mathematics gives mechanical engineers convenient access to the essential problem solving tools that they use. In this paper, we will discuss some examples of applications of mathematics in Mechanical Engineering. We conclude that the role of mathematics in engineering remains a vital problem, and find out that mathematics should be a fundamental concern in the design and practice of engineering. Leena M. Bhoyar | Prerna M. Parkhi | Sana Anjum "Application of Mathematics in Mechanical Engineering" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-2 , February 2021, URL: https://www.ijtsrd.com/papers/ijtsrd38348.pdf Paper Url: https://www.ijtsrd.com/mathemetics/applied-mathematics/38348/application-of-mathematics-in-mechanical-engineering/leena-m-bhoyar
This document provides an introduction to the concepts of Vedic mathematics. It begins with a preface describing the purpose and contents of the book. The introduction then discusses the history of Vedic mathematics, noting that it was developed based on 16 sutras or formulas found in ancient Hindu scriptures. It explains that Vedic mathematics allows for mental calculations and flexibility.
Chapter 1 defines Vedic mathematics as a system based on 16 sutras and provides a brief history of mathematics in ancient India. Chapter 2 outlines several key features of Vedic mathematics, including its coherence, flexibility, ability to do calculations mentally or in writing, promotion of creativity, appeal to all levels, increase in mental ability, efficiency, ease of use,
This document provides an introduction and overview of Vedic multiplication techniques according to the principles of Vedic mathematics. It begins with a preface describing the purpose and contents of the book. The document then outlines the contents which include chapters on what is Vedic mathematics, its key features, the 16 Vedic sutras/formulas, basic terms and laws, and a focus chapter on multiplication using the Nikhilam sutra. An example problem is shown to demonstrate multiplying 9 by 7 using the Vedic method of writing the numbers above and below 10, subtracting their differences, and obtaining the product in two parts by subtracting sums of differences from the base 10.
This document provides an introduction and overview of Vedic multiplication techniques according to the principles of Vedic mathematics. It begins with a preface describing the purpose and contents of the book. The document then outlines the contents which include chapters on what is Vedic mathematics, its key features, the 16 Vedic sutras/formulas, basic terms and laws, and a focus chapter on multiplication using the Nikhilam sutra. An example problem is shown to demonstrate multiplying 9 by 7 using the Vedic method of writing the numbers above and below 10, subtracting their differences, and separating the product into parts on the left and right of a dividing line based on these differences.
This document provides an introduction to the concepts and techniques of Vedic mathematics. It discusses how Vedic mathematics was developed based on concepts from the Atharva Veda and simplified mathematical operations. The core of Vedic mathematics is 16 sutras or formulae and 13 sub-sutras developed by ancient Hindu scientists to solve problems in 2-3 steps. Examples of applications include addition, subtraction, multiplication, division, algebra, and calculus. Mastering Vedic mathematics techniques can help solve problems faster and more efficiently. The document provides background on the development and concepts of Vedic mathematics to help teachers understand and apply its methods.
In this paper, we investigate transportation problem in which supplies and demands are intuitionistic fuzzy numbers. Intuitionistic fuzzy zero point method is proposed to find the optimal solution in terms of triangular intuitionistic fuzzy numbers. A new relevant numerical example is also included.
COMPARISON INTELLIGENT ELECTRONIC ASSESSMENT WITH TRADITIONAL ASSESSMENT FOR ...cseij
In education, the use of electronic (E) examination systems is not a novel idea, as E-examination systems
have been used to conduct objective assessments for the last few years. This research deals with randomly
designed E-examinations and proposes an E-assessment system that can be used for subjective questions.
This system assesses answers to subjective questions by finding a matching ratio for the keywords in
instructor and student answers.
International Journal of Engineering and Science Invention (IJESI)inventionjournals
The document discusses integer solutions to the Pell equation x^2 - 61y^2 = 1. It provides a method for obtaining an infinite number of distinct integer solutions using a recurrence relation. Some interesting relationships are presented between the solutions and special figurate numbers. The initial solutions are given as x1 = 6 and y1 = 1, and recurrence relations allow calculating further solutions from these values. The document concludes by noting other patterns in similar equations could be explored.
11.[36 49]solution of a subclass of lane emden differential equation by varia...Alexander Decker
This document describes applying He's variational iteration method to solve a subclass of Lane-Emden differential equations. The method constructs a sequence of correction functionals that generate successive approximations to the solution. It introduces a polynomial initial approximation satisfying the boundary conditions. The Lagrange multiplier is determined using variational theory. Estimates are established to prove the iterative sequence converges uniformly to the exact solution. The method is illustrated on some example problems and shown to produce exact polynomial solutions, demonstrating the effectiveness of the variational iteration method.
1. This section discusses modelling forces acting on objects. The weight of an object is modelled as the gravitational force on the object due to the Earth. An object's weight has magnitude equal to its mass multiplied by the acceleration due to gravity (approximately 9.81 m/s^2) and acts downward.
2. A particle is introduced as a simplified model of an object, representing it as a single point in space with mass but no size. Forces on a particle are represented by vectors drawn from the particle.
3. For a particle to be in equilibrium, the sum of all forces acting on it must equal zero, as stated in Newton's first law of motion.
Some Qualitative Approach for Bounded Solutions of Some Nonlinear Diffusion E...IOSRJM
The document presents an analysis of some nonlinear diffusion equations with non-autonomous coefficients. It develops qualitative approaches for bounded solutions using oscillation criteria. Basic Picone-type formulae are derived for equations both with and without damping terms. Applications to specific equations are also discussed. The analysis aims to establish oscillation criteria for bounded solutions of the nonlinear diffusion equations.
The document discusses the distinction between theoretical and practical thinking in mathematics. It presents a model that defines theoretical thinking as focusing on conceptual connections, logical reasoning, and developing consistent theories, while practical thinking focuses on solving particular problems and understanding factual relationships. The author argues that successful mathematics students demonstrate a "practical understanding of theory" by applying theoretical knowledge flexibly to efficiently solve problems. Examples of student work show the importance of both theoretical and practical thinking skills for high achievement in university mathematics.
This document provides a summary of key concepts in advanced business mathematics and statistics. It defines measures of central tendency including mean, mode, and median. It also discusses measures of dispersion like range and standard deviation. Additionally, it covers topics like regression, hypothesis testing, probability, and different types of statistical analysis.
Sukanya Basu is a mathematician with a Ph.D. from the University of Rhode Island. Her research interests include discrete dynamical systems and she has published several papers on the global behavior of solutions to difference equations. She has held faculty and visiting positions at several universities and currently works as an assistant professor at Wentworth Institute of Technology.
Sukanya Basu has a Ph.D. in Mathematics from the University of Rhode Island. She has held positions as an Assistant Professor at various universities since 2009. Her research interests include discrete dynamical systems and rational difference equations. She has published 5 articles in peer-reviewed journals and presented her research at numerous conferences internationally.
Sukanya Basu has a Ph.D. in Mathematics from the University of Rhode Island. She has held positions as an Assistant Professor at various universities since 2009. Her research interests include discrete dynamical systems, difference equations, and their applications. She has published 5 journal articles and given many invited talks on her research.
Sukanya Basu has a Ph.D. in Mathematics from the University of Rhode Island. She has held positions as an Assistant Professor at various universities since 2009. Her research interests include discrete dynamical systems and she has published several papers in this area. She has received various awards and honors for her research and presentations.
This document lists 50 publications from international journals related to applied mathematics and mechanics. The publications cover a range of topics including numerical solutions of differential equations, groundwater flow modeling, fluid flow through porous media, calcium diffusion modeling, and more. Many of the publications involve collaboration between researchers at Saurashtra University.
This document provides an introduction and overview to Unit 13 of the course MST209 Mathematical methods and models. Unit 13 focuses on modelling systems using non-linear differential equations. It discusses two main examples - modeling the interaction between predator and prey populations using the Lotka-Volterra equations, and modeling the motion of a pendulum using differential equations. The unit emphasizes qualitative analysis and interpretation of solutions rather than explicit solutions. It introduces concepts like equilibrium solutions and linearizing near equilibria to understand behavior. Sections 1 and 2 develop these ideas for the Lotka-Volterra population model, while Section 3 applies similar techniques to the pendulum motion model.
In real-life decisions, usually we happen to suffer through different states of uncertainties. In order to counter these uncertainties, in this paper, the author formulated a transportation problem in which costs are triangular intuitionistic fuzzy numbers, supplies and demands are crisp numbers. In this paper, a simple method for solving type-2 intuitionistic fuzzy transportation problem (type-2 IFTP) is proposed and optimal solution is obtained without using intuitionistic fuzzy modified distribution method and intuitionistic fuzzy zero point method. So, the proposed method gives the optimal solution directly. The solution procedure is illustrated with the help of three real life numerical examples. Defect of existing results proposed by Singh and Yadav (2016a) is discussed. Validity of Pandian’s (2014) method is reviewed. Finally, the comparative study, results and discussion are given.
This document provides an introduction and contents overview for a unit on matrices and determinants. It discusses how matrices can be used to represent systems of linear equations and the matrix equation Ax = b. The unit will cover solving systems of linear equations using Gaussian elimination, properties of matrices, determinants, applications including polynomial interpolation and least squares approximations, and issues of ill-conditioning when solving systems numerically. Sections include simultaneous linear equations, properties of matrices, applications of matrices, ill-conditioning, and computing activities.
Application of Mathematics in Mechanical Engineeringijtsrd
Applied Mathematics have been successfully used in the development of science and technology in 20th –21st century. In Mechanical Engineers, an application of Mathematics gives mechanical engineers convenient access to the essential problem solving tools that they use. In this paper, we will discuss some examples of applications of mathematics in Mechanical Engineering. We conclude that the role of mathematics in engineering remains a vital problem, and find out that mathematics should be a fundamental concern in the design and practice of engineering. Leena M. Bhoyar | Prerna M. Parkhi | Sana Anjum "Application of Mathematics in Mechanical Engineering" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-2 , February 2021, URL: https://www.ijtsrd.com/papers/ijtsrd38348.pdf Paper Url: https://www.ijtsrd.com/mathemetics/applied-mathematics/38348/application-of-mathematics-in-mechanical-engineering/leena-m-bhoyar
This document provides an introduction to the concepts of Vedic mathematics. It begins with a preface describing the purpose and contents of the book. The introduction then discusses the history of Vedic mathematics, noting that it was developed based on 16 sutras or formulas found in ancient Hindu scriptures. It explains that Vedic mathematics allows for mental calculations and flexibility.
Chapter 1 defines Vedic mathematics as a system based on 16 sutras and provides a brief history of mathematics in ancient India. Chapter 2 outlines several key features of Vedic mathematics, including its coherence, flexibility, ability to do calculations mentally or in writing, promotion of creativity, appeal to all levels, increase in mental ability, efficiency, ease of use,
This document provides an introduction and overview of Vedic multiplication techniques according to the principles of Vedic mathematics. It begins with a preface describing the purpose and contents of the book. The document then outlines the contents which include chapters on what is Vedic mathematics, its key features, the 16 Vedic sutras/formulas, basic terms and laws, and a focus chapter on multiplication using the Nikhilam sutra. An example problem is shown to demonstrate multiplying 9 by 7 using the Vedic method of writing the numbers above and below 10, subtracting their differences, and obtaining the product in two parts by subtracting sums of differences from the base 10.
This document provides an introduction and overview of Vedic multiplication techniques according to the principles of Vedic mathematics. It begins with a preface describing the purpose and contents of the book. The document then outlines the contents which include chapters on what is Vedic mathematics, its key features, the 16 Vedic sutras/formulas, basic terms and laws, and a focus chapter on multiplication using the Nikhilam sutra. An example problem is shown to demonstrate multiplying 9 by 7 using the Vedic method of writing the numbers above and below 10, subtracting their differences, and separating the product into parts on the left and right of a dividing line based on these differences.
This document provides an introduction to the concepts and techniques of Vedic mathematics. It discusses how Vedic mathematics was developed based on concepts from the Atharva Veda and simplified mathematical operations. The core of Vedic mathematics is 16 sutras or formulae and 13 sub-sutras developed by ancient Hindu scientists to solve problems in 2-3 steps. Examples of applications include addition, subtraction, multiplication, division, algebra, and calculus. Mastering Vedic mathematics techniques can help solve problems faster and more efficiently. The document provides background on the development and concepts of Vedic mathematics to help teachers understand and apply its methods.
In this paper, we investigate transportation problem in which supplies and demands are intuitionistic fuzzy numbers. Intuitionistic fuzzy zero point method is proposed to find the optimal solution in terms of triangular intuitionistic fuzzy numbers. A new relevant numerical example is also included.
COMPARISON INTELLIGENT ELECTRONIC ASSESSMENT WITH TRADITIONAL ASSESSMENT FOR ...cseij
In education, the use of electronic (E) examination systems is not a novel idea, as E-examination systems
have been used to conduct objective assessments for the last few years. This research deals with randomly
designed E-examinations and proposes an E-assessment system that can be used for subjective questions.
This system assesses answers to subjective questions by finding a matching ratio for the keywords in
instructor and student answers.
International Journal of Engineering and Science Invention (IJESI)inventionjournals
The document discusses integer solutions to the Pell equation x^2 - 61y^2 = 1. It provides a method for obtaining an infinite number of distinct integer solutions using a recurrence relation. Some interesting relationships are presented between the solutions and special figurate numbers. The initial solutions are given as x1 = 6 and y1 = 1, and recurrence relations allow calculating further solutions from these values. The document concludes by noting other patterns in similar equations could be explored.
11.[36 49]solution of a subclass of lane emden differential equation by varia...Alexander Decker
This document describes applying He's variational iteration method to solve a subclass of Lane-Emden differential equations. The method constructs a sequence of correction functionals that generate successive approximations to the solution. It introduces a polynomial initial approximation satisfying the boundary conditions. The Lagrange multiplier is determined using variational theory. Estimates are established to prove the iterative sequence converges uniformly to the exact solution. The method is illustrated on some example problems and shown to produce exact polynomial solutions, demonstrating the effectiveness of the variational iteration method.
1. This section discusses modelling forces acting on objects. The weight of an object is modelled as the gravitational force on the object due to the Earth. An object's weight has magnitude equal to its mass multiplied by the acceleration due to gravity (approximately 9.81 m/s^2) and acts downward.
2. A particle is introduced as a simplified model of an object, representing it as a single point in space with mass but no size. Forces on a particle are represented by vectors drawn from the particle.
3. For a particle to be in equilibrium, the sum of all forces acting on it must equal zero, as stated in Newton's first law of motion.
Some Qualitative Approach for Bounded Solutions of Some Nonlinear Diffusion E...IOSRJM
The document presents an analysis of some nonlinear diffusion equations with non-autonomous coefficients. It develops qualitative approaches for bounded solutions using oscillation criteria. Basic Picone-type formulae are derived for equations both with and without damping terms. Applications to specific equations are also discussed. The analysis aims to establish oscillation criteria for bounded solutions of the nonlinear diffusion equations.
The document discusses the distinction between theoretical and practical thinking in mathematics. It presents a model that defines theoretical thinking as focusing on conceptual connections, logical reasoning, and developing consistent theories, while practical thinking focuses on solving particular problems and understanding factual relationships. The author argues that successful mathematics students demonstrate a "practical understanding of theory" by applying theoretical knowledge flexibly to efficiently solve problems. Examples of student work show the importance of both theoretical and practical thinking skills for high achievement in university mathematics.
This document provides a summary of key concepts in advanced business mathematics and statistics. It defines measures of central tendency including mean, mode, and median. It also discusses measures of dispersion like range and standard deviation. Additionally, it covers topics like regression, hypothesis testing, probability, and different types of statistical analysis.
Sukanya Basu is a mathematician with a Ph.D. from the University of Rhode Island. Her research interests include discrete dynamical systems and she has published several papers on the global behavior of solutions to difference equations. She has held faculty and visiting positions at several universities and currently works as an assistant professor at Wentworth Institute of Technology.
Sukanya Basu has a Ph.D. in Mathematics from the University of Rhode Island. She has held positions as an Assistant Professor at various universities since 2009. Her research interests include discrete dynamical systems and rational difference equations. She has published 5 articles in peer-reviewed journals and presented her research at numerous conferences internationally.
Sukanya Basu has a Ph.D. in Mathematics from the University of Rhode Island. She has held positions as an Assistant Professor at various universities since 2009. Her research interests include discrete dynamical systems, difference equations, and their applications. She has published 5 journal articles and given many invited talks on her research.
Sukanya Basu has a Ph.D. in Mathematics from the University of Rhode Island. She has held positions as an Assistant Professor at various universities since 2009. Her research interests include discrete dynamical systems and she has published several papers in this area. She has received various awards and honors for her research and presentations.
This document lists 50 publications from international journals related to applied mathematics and mechanics. The publications cover a range of topics including numerical solutions of differential equations, groundwater flow modeling, fluid flow through porous media, calcium diffusion modeling, and more. Many of the publications involve collaboration between researchers at Saurashtra University.
In solving real life assignment problem, we often face the state of uncertainty as well as hesitation due to varies uncontrollable factors. To deal with uncertainty and hesitation many authors have suggested the intuitionistic fuzzy representation for the data. In this paper, computationally a simple method is proposed to find the optimal solution for an unbalanced assignment problem under intuitionistic fuzzy environment. In conventional assignment problem, cost is always certain. This paper develops an approach to solve the unbalanced assignment problem where the time/cost/profit is not in deterministic numbers but imprecise ones. In this assignment problem, the elements of the cost matrix are represented by the triangular intuitionistic fuzzy numbers. The existing Ranking procedure of Varghese and Kuriakose is used to transform the unbalanced intuitionistic fuzzy assignment problem into a crisp one so that the conventional method may be applied to solve the AP . Finally, the method is illustrated by a numerical example which is followed by graphical representation and discussion of the finding.
Dr. M. Sundararajan has over 25 years of experience in teaching at engineering colleges. He holds a Ph.D. in Electronics and Communication Engineering and has guided two Ph.D. candidates. He has published over 75 papers, including 18 in Scopus indexed journals. His areas of research include biometric security, instrumentation, signal processing, and neuroimaging. Currently he works as an independent resource person for engineering industries and institutions, with the goal of becoming a university vice-chancellor.
Scholars World- International Refereed Multidisciplinary Journal Of Contemporary Research is a Quarterly research journal. It is an open access peer review journal. It publishes the articles comprising the Arts, Science & Commerce area.
The journal is very especially intended for professors, Scholars, Academicians, Professional & research scholars those who want to seek genuine authentic research material. It is an internationally approved journal.
The document is a curriculum vitae for Dr. Dharmesh P. Raykundaliya, an Assistant Professor in the Department of Statistics at Sardar Patel University in India. It summarizes his educational background, which includes a Ph.D. in Reliability-Oriented Designs from Sardar Patel University, as well as his work experience teaching statistics and conducting research projects. It also lists his publications, research interests, awards, and involvement in conferences related to statistics.
(1) The document provides information about various courses in the syllabus of U.P. Technical University, Lucknow, including Mathematics-III, Industrial Psychology, Industrial Sociology, and Cyber Security.
(2) It then provides details of the Mathematics-III course, including topics covered in each unit such as functions of complex variables, integral transforms, statistical techniques, and numerical techniques.
(3) The document also lists several science-based open electives available for B.Tech courses, including Introduction to Soft Computing, Nano Sciences, and Laser Systems and Applications.
Dr. Anil Kumar is a professor of applied sciences (mathematics) at Echelon Institute of Technology in Faridabad, India. He has over 17 years of teaching experience and specializes in areas like fluid mechanics, biomathematics, and mathematical modeling. He is involved in teaching undergraduate and postgraduate students. He has also guided 4 PhD scholars and published over 40 research papers in international and national journals as well as conferences.
Dr. Gadadhara Mohapatra is an Assistant Professor of Sociology at Tripura University in India. He holds a PhD in Sociology from Jawaharlal Nehru University and completed postdoctoral research at Albert-Ludwigs-Universität Freiburg in Germany. His areas of research include poverty dynamics, tribal development, food security, and women's self-help groups. He has published several books and articles on these topics.
This document provides a summary of the academic and professional credentials of Dr. Waseem Asghar Khan. It lists his educational background which includes a PhD in Mathematics from COMSATS Institute of Information Technology, as well as his work experience which includes positions as Chairman of the Basic Science Department at Baluchistan University of Engineering and Technology Khuzdar. It also provides details of his research publications, conference presentations, awards, research interests, and roles supervising MS students.
John H. Holland is a professor of computer science and engineering and psychology at the University of Michigan. He received his BS in physics from MIT and his PhD in computer science from the University of Michigan. His research interests include complex adaptive systems, the theory of adaptive systems both natural and artificial, and cognitive processes. He has published extensively in these areas and advised 49 PhD students.
Mashroor Ahmad Khan is a dynamic instructor focused on providing students with a rigorous education and skills for success. He has a PhD in Statistics from Pondicherry University and has published several research papers. His areas of interest include reliability theory, distribution theory, and statistical inference. He aims to shape students through innovative coursework and projects based on research, business practices, and technology.
Estimation of Reliability in Multicomponent Stress-Strength Model Following B...IJERA Editor
The stress-strength model for system reliability for multicomponent system when a device under consideration is a combination of 𝒦 usually independent components with strengths 𝑋1,𝑋2,…,𝑋𝒦 and each component experiencing a common stress 𝑌. The system is regarded as alive if at least𝒮 out of 𝒦 𝒮<𝒦 strengths exceed the stress. The reliability of such system is obtained when the stress and strengths are assumed to have Burr XII distributions with common shape parameter(𝑐). The research methodology adapted here is to estimate the parameters by using maximum likelihood method. Based on different types of ranked set sampling, the reliability estimators are obtained when samples drawn from strength and stress distributions. Efficiencies of reliability estimators based on ranked set sampling, median ranked set sampling, extreme ranked set sampling and percentile ranked set sampling are calculated with respect to reliability estimators based on simple random sampling procedure.
Dimensionality Reduction Techniques In Response Surface Designsinventionjournals
Dimensionality reduction has enormous applications in various fields in industries. It can be applied in an optimal way with respect to time and cost related to the agricultural sciences, mechanical engineering, chemical technology, pharmaceutical sciences, clinical trials, biological studies, image processing, pattern recognitions etc. Several researchers made attempts on the reduction of the size of the model for different specific problems using some mathematical and statistical techniques identifying and eliminating some insignificant variables.This paper presents a review of the available literature on dimensionality reduction
Similar to Bio-data ( DR.P.K.SHARMA) as on March 2015 (18)
Dimensionality Reduction Techniques In Response Surface Designs
Bio-data ( DR.P.K.SHARMA) as on March 2015
1. 1
CURRICULUM VITAE
Dr. Poonam Kumar
Sharma
D.O.B : 11 - 12 - 1965
Residential Address: H.No – 19, Arjun
Nagar ,
Ladowali Road , Jalandhar City, Punjab ,
India
Father’s Name : Shri Chaman Lal Sharma
Academic Record
Ph.D. (Jamia Millia Islamia University,New Delhi) Thesis Supervisor: Dr. Mohammad
Yamin. Thesis synopsis "Some Relative Relation Modules Of Finite Groups", 1993.
M.Sc. (Mathematics, 1988) (D.A.V.College, Jalandhar, under Guru Nanak Dev
University)
B.Sc. (Non-Medical, 1986) (D.A.V.College, Jalandhar, under Guru Nanak Dev
University)
Area of interest Modern Algebra, General Topology , Discrete Mathematics, Fuzzy
topology, Fuzzy Algebra
Experience
• Presently working as Associate Professor at Post Graduate Dept. of Mathematics,
D.A.V. College ,Jalandhar Under Guru Nanak Dev University since 1994.
• Worked as Lecturer in Mathematics in D.A.V. College, Chandigarh under
Punjab University from 1993-1994
Extra Responsibilities
2. 2
• Has been the Dean, Alumni Association of D.A.V. College, Jalandhar since
Jan.2013 onward
• Had been an expert in Mathematics and Science fair organized by Punjab Govt.
• Had been Organizing Secretary of U.G.C. Sponsored National Conference
“Recent Trends in Algebra and Analysis” held at D.A.V. College , from 4th
Feb.
to 6th
Feb., 2011.
• Had been Organizing Secretary of U.G.C. Sponsored National Conference
“Emerging Trends in Mathematics and Its Applications” held at D.A.V. College ,
from 4th
Feb. to 6th
Feb., 2012.
• Had been Organizing Secretary of U.G.C. Sponsored National Conference
“Recent Trends in Discrete and Fuzzy Mathematics” held at D.A.V. College ,
from 2th
Feb. to 4th
Feb., 2013.
• Be a Convenor of the Teacher’s Enrichment Workshop(TEW) 2014 on Rings and
Modules sponsored by National Centre for Mathematics(NCM) ( A joint center of
IIT Bombay and TIFR, Mumbai) from 15-21st
April, 2014 at D.A.V. College,
Jalandhar
Books Publications
S.NO Title of the Book ISBN/ ISSN NO Name of the Publication
1 Topology-I
M.Sc-(Maths) Sem-III
93-81701-47-4 S Sharma Publications, Jalandhar
2 Topology-II
M.Sc-(Maths) Sem-IV
93-81701-82-2 S Sharma Publications, Jalandhar
3 Discrete Mathematics-I
M.Sc-(Maths) Sem-III
93-81701063-6 Sharma Publications,
Jalandhar
4 Discrete Mathematics-II
M.Sc-(Maths) Sem-IV
93-82704-06-x Sharma Publications,
Jalandhar
5 Real Analysis-I
M.Sc-(Maths) Sem-I
938126179-2 Sharma Publications,
Jalandhar
6 Real Analysis-II
M.Sc-(Maths) Sem-II
938170112-1 Sharma Publications,
Jalandhar
7 Algebra-I
M.Sc-(Maths) Sem-I
938126176-8 Sharma Publications,
Jalandhar
8 Algebra-II 938170110-5 Sharma Publications,
3. 3
M.Sc-(Maths) Sem-II Jalandhar
9 Integral Calculus
B.A/B.Sc-II
938126139-3 Sharma Publications,
Jalandhar
Research Paper Publications
1. P.K. Sharma “(α, β)-Cut of Intuitionistic fuzzy groups” International Mathematics
Forum , Vol. 6, 2011, no. 53, 2605-2614 with Impact Factor 0.323
2. P.K. Sharma “Homomorphism of Intuitionistic fuzzy groups ” International
Mathematics Forum , Vol. 6, 2011, no. 64, 3169-3178 with Impact Factor 0.323
3. P.K. Sharma “ Intuitionistic fuzzy groups”, International Journal of Data Ware
housing & Mining, Vol. 1 , Issue 1 , (2011) , 86-94 with Impact Factor 0.2
4. P.K. Sharma “ Translates of Intuitionistic fuzzy subgroups” , International Journal of
Pure and Applied Mathematics , Vol. 72, no.4 , 2011, 555-564 with Impact Factor
2.48
5. P.K. Sharma “On the Intuitionistic fuzzy order of an element in a group”, Research
Cell: International Journal of Engineering Science” Special Issue , Sept. 2011 , Vol.
4 , 355-362 with Impact Factor 0.29
6. P.K. Sharma “ On Intuitionistic Magnified Translation in Groups”, International
Journal of Mathematical Sciences and Applications, Vol. 2, no.1, 2012, 139-144
7. P.K. Sharma and Vandana Bansal “ Anti Homomorphism of Intuitionistic Magnified
Translation in Groups”, International Journal of Mathematical Sciences and
Applications, Vol. 2, no.1 , 2012, 161-166
8. P.K. Sharma “ On Intuitionistic Magnified Translation in Rings” International
Journal of Algebra, Vol.5 , 2011 , no. 30 , 1451-1458 with Impact Factor 0.323
9. P.K. Sharma “(α, β)-Cut of Intuitionistic fuzzy modules”, International Journal of
Mathematical Sciences and Applications, Vol. 1 , no.3 , Sept. 2011, 1489-1492
10. P.K. Sharma “ Translates of Intuitionistic fuzzy subrings”, International Review of
Fuzzy Mathematics” Vol. 6 , No. 2 , 2011, pp. 77-84
11. P.K. Sharma “ Intuitionistic fuzzy ideal in near rings”, International Mathematics
Forum, Vol. 7 , 2012 , no. 16, 769-776 with Impact Factor 0.323
4. 4
12. P.K. Sharma and M. Yamin “Relative relation modules of SL( 2, p) and PSL(2, p)
groups” Journal of Indian Mathematics Society (JIMS), Vol., 80 , no. 3-4 , (2013),
341-348
13. P.K. Sharma “Common fixed point for two pair of compatible mapping” ,
Proceedings of International Conference on Mathematics and soft computing
( Application in Engineering),held at N.C. College of Engg. Israra , Panipat 4-5th
Dec. , 2010 , page 107-113.
14. P.K. Sharma “ On the direct product of Intuitionistic fuzzy groups”, International
Mathematical Forum , Vol. 7 , 2012 , no. 11, 523-530 with Impact Factor 0.323
15. P.K. Sharma “ On intuitionistic fuzzy abelian subgroups” Advances of Fuzzy Sets
and Systems , Vol. 12(1), 2012 , pp. 1-16 with Impact Factor 0.703
16. P.K. Sharma “ On Translates of intuitionistic fuzzy abelian subgroups” , Advances
in Fuzzy Sets and Systems, Volume 13(1), 2012 , pp. 1-12 with Impact Factor 0.703
17. P.K.Sharma “ t- Intuitionistic fuzzy Quotient modules” International Journal of
Fuzzy Mathematics & System (IJFMS) Vol., 2, no. 1, 2012, 37-45
18. P.K.Sharma and Ashu Bahl “ Translates of Intuitionistic fuzzy submodules”
International Journal of Mathematicals Sciences, Vol. 11, no. 3-4 , 2012, pp. 277-
287
19. P.K.Sharma “ Intuitionistic fuzzy module over Intuitionistic fuzzy ring”,
International Journal of Fuzzy Mathematics & System (IJFMS), Vol. 2 , no., 2, 2012,
133-140
20. P.K. Sharma “ Anti Fuzzy Submodule of a Module”, Advances in Fuzzy Sets and
Systems , Vol. 12(1), 2012 , pp. 49-57 with Impact Factor 0.703
21. P.K.Sharma “ t-Intuitionitic Fuzzy Quotient Group”, Advances in Fuzzy
Mathematics, Vol. 7 , no. 1 , 2012 , pp. 1-9
22. P.K.Sharma “ t- Intuitionistic Fuzzy Quotient Ring”, International Journal of Fuzzy
Mathematics & Systems, Vol. 2, No. 3 , (2012), pp. 207-216
23. P.K.Sharma and Vandana Bansal, “ On Intuitionistic anti-fuzzy ideals in rings”
International Journal of Mathematicals Sciences, Vol. 11, no. 3-4 , 2012, pp. 237-
243
24. P.K.Sharma, “ On Intuitionistic Anti-fuzzy submodule of a module”, International
Journal of Fuzzy Mathematics & System (IJFMS) Vol. 2, No 2 (2012), 127-132
25. P.K.Sharma, “ Intuitionistic fuzzy submodules with thresholds (α , β) of modules”,
International Journal of Mathematics Sciences and Engineering Applications, Vol. 6,
No. III, May , 2012 , 21-30 with Impact Factor 0.3025
26. P.K.Sharma, “ Intuitionistic Fuzzy Relation on Modules”, International Review of
Fuzzy Mathematics , Vol. 7 , no.1 , (2012) , 13-20.
5. 5
27. P.K.Sharma, “ t- intuitionistic fuzzy subgroups”, International Journal of Fuzzy
Mathematics and Systems (IJFMS) , Vol. 2 , no. 3 , 2012 , pp. 233-243
28. P.K.Sharma, “ t- intuitionistic fuzzy subrings”, International Journal of
Mathematicals Sciences , Vol. 11 , no. 3-4 , 2012, pp. 265-275
29. P.K.Sharma, “ Lattices of Anti fuzzy Submodules”, International Journal of Fuzzy
Mathematics and Systems , Vol. 2, No. 3 (2012), pp. 345-350
30. P.K.Sharma, “ Q-Intuitionistic L-Fuzzy Submodules”, International Journal of
Fuzzy Sets and Systems , Vol. 2 , No. 3, 2012 , pp. 245-252
31. P.K.Sharma, “(α, β)-Cut of Intuitionistic fuzzy modules- II”, International Journal of
Mathematical Sciences and Applications, Vol. 3 , No. 1 , 2013, pp. 11-17
32. P.K.Sharma, " Translates of Anti fuzzy subgroups ",International Journal of Applied
Mathematics and Applications, (July-Dec 2012), Vol, 4 , No. 2 , 175-182
33. P.K.Sharma, " On Intuitionistic Anti-Fuzzy Ideal and Quotient Ring", International
Journal of Applied Mathematics and Physics, (July-Dec 2012) , pp. 109-119
34. P.K.Sharma, "Translates of Anti Fuzzy Subrings And Ideals”, International Journal
of Applied Mathematics and Physics” (July-Dec 2012), pp. 125-130
35. P.K.Sharma, “ Translates of (Anti) fuzzy submodules , International Journal of
Engineering Research and Development, Volume 5, Issue 2 (December 2012), PP.
27-31
36. P.K.Sharma, “On Intuitionistic Anti-Fuzzy Subgroup of a group”, International
Journal of Mathematics and Applied Statistics, Vol., 3, No. 2 (July-Dec 2012),147-
153
37. P.K.Sharma, “ α- Fuzzy subgroups, International Journal of Fuzzy Mathematics and
Systems , Volume 3, Number 1 (2013), pp. 47-59
38. P.K.Sharma, “ α- Anti Fuzzy Subgroups”, International Review of Fuzzy
Mathematics” , Vol., 7, No. 2 , 2012 , pp. 47-58
39. P.K.Sharma, “ (α, β)- Fuzzy Subgroups”, Fuzzy Sets Rough Sets and Multivalued
Operations and Applications” , Vol. 4 , No. 1, 2012, pp. 59-71
40. P.K.Sharma, “ (α, β)- Anti Fuzzy Subgroups, International Journal of Fuzzy
Mathematics and Systems , Volume 3, Number 1 (2013), pp. 61-74
41. P.K.Sharma, “Relationship between α-(Anti) Fuzzy Subgroups and (α, β)-(Anti)
Fuzzy Subgroups, International Review of Pure and Applied Mathematics” (July-
Dec 2012), Vol. 8, No. 2, pp. 133–140
42. P.K. Sharma and Amit Sehgal, “ On Number of fuzzy subgroups of a finite cyclic
group”, Proceedings of the National conference on Advances in Mathematics & its
Applications, organized by Department of Mathematics National Institute of
6. 6
Technology Hamirpur from 25th
– 27th
June , 2013 ,page 293-298, ISBN: 978-93-
83083-22-0
43. P.K. Sharma and Aradhna Duggal, “ Intuitionistic fuzzy Bi-ideal of a ring”,
Proceeding of the International conference of Scientific computing 2013, held at Las
Vegas, Naveda USA , from 22th to 25th
July, 2013, page 158-164, ISBN: 1-60132-
238-0
44. P. K. Sharma, “ t-Fuzzy Subring and Ideal”, Indian Journal of Computational and
Applied Mathematics (IJCAM), Vol. 1 , No. 1, (2013), pp. 93-104
45. P.K. Sharma and Aradhna Duggal, “ Intuitionistic (T, S)-Fuzzy bi-ideal of a ring”,
Proceeding of the International conference On Information and Mathematical
Sciences held at Baba Farid College of Engineering & Technology, Bhatinda from
October 24-26, 2013, published by Elsevier Science and Technology, pp. 337-331,
ISBN: 978-93-5107-162-4
46. Mohammad Yamin and P.K. Sharma, “ Structure of relative relation modules of
finite groups”, International Conference on Mathematical Sciences and Statistics
2013, Published by Springer in March 2014, pp. 256-274, ISBN:978-981-4585-32-3
47. P.K.Sharma, Meenu Sharma, Nidhi Joshi, “A Study On Translation Of Intuitionistic
Fuzzy Subgroups” presented in the National Conference held at A.S. College for
women, Khanna from 22-25 October, 2013
48. P.K.Sharma, Aradhna Duggal, “ A study on Translation of Intuitionistic (T,S)-Fuzzy
Bi-Ideal of a Ring”, International Journal of Computing, Vol. 4, Issue 3, 2014, pp.
623- 627, with Impact Factor 2.456
49. Mohammad Yamin and P.K. Sharma, “Relative Relation Modules of Finite
Elementary Abelian p-Groups”, Bulletin of the Korean Mathematical Society, Vol.
51, 2014, PP. 1-6 with Impact Factor 0.45
50. Mohammad Yamin and P.K. Sharma, “Structure of Relative Relation Modules of
Finite Groups”, International Conference on Mathematical Sciences and Statistics
2013, Published by Springer in March 2014, pp. 256-274, ISBN:978-981-4585-32-3
51. P.K.Sharma and Vandana Bansal, “Level cut of fuzzy graph” Proceeding of the
International Multi Track Conference on Sciences, Engineering and Technical
7. 7
Innovations (IMTC 14) Sponsored by DST, Ministry of Sci. and Technology and
PTU, held at C.T. Institute of Engineering Management and Technology from , June
3-4 , 2014, Vol. 2 , pp. 453-459, ISBN: 978-81-92077-1-0
52. P.K.Sharma, “ Lattices of Intuitionistic fuzzy modules”, Journal of Advances in
Mathematics, Vol. 9 , No. 1, 2014, pp. 1828-1833
53. P.K. Sharma, “ Modal operator Fα, β in intuitionistic fuzzy groups” , Annals of Pure
and Applied Mathematics, Vol. 7 , No. 1, 2014 , pp. 19-28
54. P.K.Sharma, “ Intuitionistic (T,S)-fuzzy submodule of a module”, (Communicated)
55. P.K.Sharma, “ On Fuzzy Topological spaces involving group structures”, proceeding
of the International conference on Algebra, Geometry and Analysis and their
Applications held at Jamia Millia Islamia, New Delhi from Nov., 27-29, 2014,
56. P.K.Sharma, “Intuitionistic fuzzy representation of intuitionistic fuzzy groups”,
Iranian Journal of Fuzzy Systems, (Communicated)
57. P.K.Sharma, “ Group intuitionistic fuzzy topological spaces”, Journal of Natural
Sciences Research, Vol. 5, No. 3, 2015, pp. 1-10.
58. P.K. Sharma, “ t-Anti Fuzzy Subrings and Ideals”, (Communicated), Serial
Publication
59. P.K.Sharma, “ On intuitionistic fuzzy abelian subgroups – II” Advances of Fuzzy
Sets and Systems (Accepted)
60. P.K.Sharma, “Intuitionistic fuzzy normal subgroups in intuitionistic fuzzy
subgroups” ( Under Preparation)
61. P.K.Sharma and Tarandeep Kaur, “Intuitionistic fuzzy G-modules”, Notes on
Intuitionistic Fuzzy Sets and System, Vol. 21, Number 1, 2015
62. P.K.Sharma and Tarandeep Kaur, “Intuitionistic fuzzy representation of
intuitionistic fuzzy G-modules” (Ready for publication)
63. Amit Sehgal , Sarita Sehgal and P.K. Sharma, “ The number of subgroups of finite
abelian p-group of rank two”, Journal for Algebra and Number Theory Academia,
Vol. 5 , No. 1, (2015), pp. 23-31.
8. 8
64. P.K.Sharma, “ Group action on intuitionistic fuzzy modules”, (Ready for publication
)
65. P.K.Sharma and Mohd. Yamin “ Group action on fuzzy modules”, (Ready for
publication)
Citation on the research work used by other researchers
1. P. Pandiammal and R. Natarajan, “A study on Intuitionistic L-fuzzy Translation”
International Journal of Computer Applications (0975 – 8887) Volume 61– No.5,
January 2013
2. Shiny Jose1 and Sunny Kuriakose, “Decomposition Theorems on an Intuitionistic
fuzzy set”, Notes on Intuitionistic Fuzzy Sets , Vol. 18 , 2012, N0.2 , 31-36
3. Aphisit Muangma and Aiyared Iampan, “P-Regular Nearrings Characterized by
their Bi-Ideals”, arXiv:1212.3948v1 [math.RA] 17 Dec., 2012
4. G. Senthil Kumar, V. Selvan, “ Rough Intuitionistic Fuzzy Ideals in a Ring”,
International Journal of Scientific & Engineering Research Volume 3, Issue 8,
August-2012 , pp. 1-12, ISSN 2229-5518
5. S. Padmapriya, M.K. Uma and E.Roja, “ A study on intuitionistic fuzzy
topological groups”, Annals of Fuzzy Mathematics and Informatics , 2014
6. Neeraj Doda, P.K. Sharma, “ Counting the number of intuitionistic fuzzy
subgroups of finite abelian groups of different order”, Notes in Intuitionistic
Fuzzy Sets , Vol., 19 , No. 4 , 2013, pp. 42-47
7. R. Muthuraj, S. Balamurugan, “ A study on Intuitionistic Multi-Anti Fuzzy
Subgroups”, Applied Mathematics and Sciences: An International Journal
(MathSJ), Vol. 1 , No.2, August 2014.
9. 9
8. Sharbani Bhattacharya, “ Watermarking Digital Images Using Fuzzy Matrix
Compositions and (α, β) - Cut of Fuzzy Set”, International Journal of Advanced
Computing, ISSN: 2051-0845, Vol.47, Issue.2, 2014, pp. 1552-1559
9. M. Himaya Jaleela Begum and S. Jeyalakshmi, “ (α,β)-cut of intuitionistic fuzzy bi-
ideals of near rings” International Journal of Mathematical Archive-5(11), 2014,
38-41
10. Irina Cristea, “Regularity of intuitionistic fuzzy relations on hypergroupoids”,
Versita , Vol. 22(1), 2014, 105-119
11. Shinoj T K and Sunil Jacob John , “Intuitionistic Fuzzy Multigroups”, Annals of
Pure and Applied Mathematics, Vol. 9, No. 1, 2015, 133-143
Talks / Paper Presentations in Conferences / Colleges
1. Delivered an Extension lecture titled “ Eigenvalues and Eigenvectors and their
applications” at Guru Nanak National College for Women, Nakodar on 27th
March.,
2015
2. Delivered an Invited talk on “Group Action on intuitionistic fuzzy modules”, in the
National conference on “Recent Trends in Algebra and Analysis”, at Govt. Gandhi
Memorial Science College, Jammu from 25-16 March, 2015.
3. Delivered an Extension lecture titled “ Eigenvalues and Eigenvectors and their
applications” at Dashmesh Girl College, Mukerian on 11th
Feb., 2015
4. Delivered an Invited talk “ Group Intuitionistic Fuzzy Topological Spaces”, in the
International conference on “Algebra and Its Applications”, at Aligarh Muslim
University, Aligarh from 15-17 December, 2014.
5. Delivered an Invited talk “On fuzzy topological spaces involving group structures”
in the International conference on “Algebra, Geometry , Analysis and their
Applications” at Jamia Millia Islamia (Central University), New Delhi from Nov.
27-29, 2014
10. 10
6. Delivered an Invited talk on “An Introduction to Intuitionistic Fuzzy Groups” at the
National Workshop on “Optimization and Fuzzy Mathematics”, held at Vidyasagar
University, West Bengal from 9-13 Sept. 2014.
7. Delivered an Invited talk “ How Mathematics make our life easy and beautiful” in
the INSPIRE-2014 , Sponsored by DST , held at ISF College of Pharmacy, Moga ,
Punjab on 20th
May, 2014.
8. Delivered a talk on the topic “ Pasting Lemma for Uniform continuity” in the
National conference on Analysis and Its Applications” held at Govt. Gandhi
Memorial Science College, Jammu on 27th
March, 2014
9. Delivered an Extension lecture titled “ Prime numbers and their applications” at
KRM D.A.V. College , Nakodar on 15th
March., 2014
10. Delivered an invited talk titled” Fuzzy Algebra”, in the national seminar on “
Algebra and Its Applications” at Govt. College, Birohar (Jhajjar) (Haryana) on Ist
Feb., 2014
11. Delivered an invited talk titled “ An Introduction to Intuitionistic Fuzzy Group”, in
the International conference On Information and Mathematical Sciences held at
Baba Farid College of Engineering and Technology, Bathinda from October, 24-26,
2013.
12. Presented a research paper(with Aradhna Duggal) titled “ Intuitionistic (T,S)-Fuzzy
Bi-ideal of a ring”, in the International conference On Information and
Mathematical Sciences held at Baba Farid College of Engineering and Technology,
Bathinda fro October, 24-26, 2013, Proceeding published by ELSEVIER, pp. 327-
331
13. Presented a research paper (with Aradhna Duggal) titled “ Intuitionistic Fuzzy Bi-
Ideal of a ring “ The 2013 International Conference on Scientific Computing
(CSC’13) held in Las Vegas, Nevada, USA, July, 22-25, 2013, page 158-164
14. Presented a research paper titled “ On Number of fuzzy subgroups of a finite cyclic
group”, in the National conference on Advances in Mathematics & its Applications,
organized by Department of Mathematics National Institute of Technology
Hamirpur from 25th
– 27th
June , 2013, page 293-298
15. Had been an Invited Resource Person in the National Seminar on “Recent Trends in
Pure and Applied Mathematics”, at Hindu College, Amritsar on 13th
March., 2013
11. 11
16. Delivered a talk on the topic “ On Intuitionistic fuzzy mathematics” in the National
conference on Recent Trends in Discrete and Fuzzy Mathematics held at D.A.V.
College, Jalandhar from 2-4th
Feb., 2013
17. Presented a research paper titled “ Translates of (Anti) Fuzzy Submodules”, at the
21st
International Conference of Forum of Interdisciplinary Mathematics held at
Panjab University Chandigarh from 15-17, Dec., 2012
18. Participated in the 27th
Annual Conference of Ramanujan Mathematical Society
held at Delhi from 20-23, Oct., 2012
19. Presented a research paper (with Mohammand Yamin) titled “Structure of relative
relation modules of SL(2,p) and PSL(2,p) groups”, in the “International Conference
of Mathematical Sciences and Statistics”, Malaysia, 5-7, Feb., 2013
20. Delivered an Invited talk on the topic “ Intuitionistic Fuzzy Algebra” , in the
National conference on Algebra , Analysis and their Applications , sponsored by
N.B.H.M and organized by M.A.M. College, Jammu from 18-19 August, 2012
21. Presented a research paper (with Ashu Bahl ) titled “Translates of Intuitionistic
fuzzy submodules”, International conference of Mathematics and Mathematical
Sciences held at New Delhi from 7th
July , 2012.
22. Presented a research paper (with Vandana Bansal) titled “On Intuitionistic anti-
fuzzy ideals in rings”, International conference of Mathematics and Mathematical
Sciences held at New Delhi from 7th
July , 2012.
23. Presented a research paper titled “t- intuitionistic fuzzy subrings”, International
conference of Mathematics and Mathematical Sciences held at New Delhi from 7th
July , 2012.
24. Delivered an Invited talk “Importance of Applied Sciences in Engineering” at CT
Institute , Shapur , at the Faculty development programme sponsored by PTU , from
May , 15-19 , 2012.
25. Presented a research paper titled “t- Intuitionistic Fuzzy Quotient Group” in the
National Conference in Algebra”, held at H.P. University,Shimla,27-28 march 2012
26. Had been an Invited Resource Person in the National Seminar on “ Advanced
Mathematics: Its Implications in Modern Era”, at R.R. Bawa college for Girls on
25th
Feb., 2012
12. 12
27. Had been an Invited Resource Person in the National Conference on “ Recent
Advances and Methods in Mathematics Education”, at Ramgarhia College of
Education from 15-16th
Feb., 2012
28. Delivered an Extension lecture titled “ Eigenvalues and Eigenvectors and their
applications” at KRM D.A.V. College , Nakodar on 10th
Feb., 2012
29. Delivered an Invited talk “ Use of Fuzzy Mathematics in Technology” in the
INSPIRE-2012 , Sponsored by DST , held at ISF College of Pharmacy , Moga ,
Punjab on 19th
Jan. 2012.
30. Presented a research paper titled “On Intuitionistic Magnified Translation in
Groups” in the 1st International Conference on Mathematical Sciences and
Applications” , held New Delhi on 18th
December , 2011
31. Presented a research paper (with Vandana Bansal ) titled “Anti homomorphism of
Intuitionistic Magnified Translation in Groups” in the 1st International Conference
on Mathematical Sciences and Applications” , held New Delhi on 18th
December ,
2011.
32. Delivered an Extension Lecture “ Modules versus Vector spaces” at Post Graduate
Department of Mathematics , D.A.V. College, Bathinda and Abhoar on 4th
November, 2011
33. Presented a research paper “(α, β)-Cut of Intuitionistic fuzzy modules” in the
National Seminar “ On Innovations and Applications in Engineering and Applied
Sciences”, Organized at Gurukula Kangari Vishwavadyalaya , Haridwar , from
November , 9-10, 2011.
34. Presented a research paper “ On intuitionistic fuzzy order of an element in a group”
in the “ National Conference on Recent Trends in Information Technology and Its
Applications in Industry” held at Bhaderwah Campus , University of Jammu from
25th
Sept, - 26th
Sept., 2011.
35. Presented a search paper on “Common fixed point for two pair of compatible
mapping” in the International Conference on “ Mathematics and soft computing
application in Engineering” Sponsored by DST , DRDO and ICMR at N.C College
of Engineering, Israna , Panipat. ( Dec. 2010)
13. 13
36. Presented a paper on “ Eigenvalues and Eigenvector and their applications” in the
U.G.C. Sponsored National Seminar on “ Importance of Mathematics “ at S.L.
Bawa D.A.V. College , Batala on Feb., 26 , 2011.
37. Delivered a talk on “ Studying groups by generators and relations” at the 25th
Conference of Ramanujan Mathematical Society held at NIT , Jalandhar , from
May 3- 5 , 2010.
38. Delivered an extension lecture “Modules Versus Vector Spaces” at Govind
National College, Narangwal Distt. Ludhiana., on 11th
March. 2010.
39. Presented a search paper on “ Semi-Homeomorphism in Topological Spaces” in
the Conference of Jammu Mathematical Society , Jammu univ. ( Feb. 2010)
40. Attended an Advanced training school in Mathematics (ATML-2009), Organized
by National Board of Higher Mathematics (NBHM), held at Panjab University
Chandigarh from 15th
Dec., 2009 to 31st
Dec., 2009.
41. Delivered an extension lecture “Eigenvalues and Eigenvectors and their Application
at Dev Samaj College for Women , Ferozepur City on 26th
Nov. 2009.
42. Presented a Search paper “Relative relation modules of SL(2,p) and PSL(2,p)
groups” at the 11th
National Conference of Indian Society of Information
Theory and Application( ISITA) held at GGS Khalsa college , Sarhali (Taran
Taran) from 24th
Oct. to 26th
Oct., 2009
43. Participated in the workshop on Optimization Techniques and Their Applications
To various Disciplines Sponsored by DST, Govt. of India held at GGS Khalsa
college , Sarhali (Taran Taran) from 19th
Oct. to 23rd
Oct., 2009
44. Participated in the Four day Mathematical Olympiad Orientation Programme for
School and College teachers Sponsored by NBHM, held at D.A.V.C.Amritsar
from 24th
Sept. to 27th
Sept., 2009.
45. Delivered a talk on “ Application of Mathematics in Life” at Dr. B.R. Ambedkar
Institute of Technology , Jalandhar, ( 7th
November, 2008 )
46. Delivered an Extension Lecture Titled “ Connectedness and disconnectedness in
topological spaces ” at Govind National College, Narangwal Distt. Ludhiana.,
( 10th
March, 2008 )
14. 14
47. Presented a search paper “On Semi-connectedness and locally semi-connectedness
in topological spaces” in conference of Jammu mathematical society, Jammu
Univ. (Feb. 2008)
48. Delivered an extension lecture “Modules Versus Vector Spaces” at Dev Samaj
College for Women , Ferozepur City on 17th
Nov. 2007.
49. Presented a search paper on “ Strongly connected spaces” in the 41st meeting of
Programme Advisory Committee on Mathematical Sciences at G.N.D.U. Amritsar
( Feb. 2007)
50. Presented a search paper on “ Fuzzy sets and Fuzzy system” in the National seminar
on Information Theory and Operation Research at S.S.M.C. Dinanagar (Feb. 2006)
51. Delivered an Extension Lecture Titled “ Importance Of Prime Numbers” at
B.D. Arya Girls College, Jalandhar Cantt., (9th
Jan, 2006 )
52. Presented a search paper “ On Lattices of L-topological Spaces” in the National
Seminar on Applied Mathematics at M.A.M College, Jammu(June , 2005)
53. Presented a search paper on “ Homotopy in Topological Spaces” in the Conference
of Jammu Mathematical Society , Jammu univ. ( Feb. 2005)
54. Participated in the Joint India American Mathematical Society Meeting At IISc ,
Bangalore ,(Dec. 2003)
55. Delivered a series of lectures on “Algebra and Set Theory” for an Inservice
Orentation Course for the Maths. Lecturers of Govt. Senior Secondary Schools of
Jalandhar Division from 9-12-1996 to 14-12-1996 at Govt. Inservice Training
Cenre Jalandhar.
56. Presented a search paper on “ Indecomposibility of Relative relation modules of
finite p-group” in the Indian Mathematical Society Conference Held at Aligarh
Muslim Univ. (Dec.1991)
57. Presented a search paper on “ Decomposibility of Relative relation modules of
finite elementary abelian p-group” in the Indian Mathematical Society Conference
Held at Gujarat Univ. Surat (Dec.1990)
Research Project Completed
1. “The Relation modules of finite groups” Submitted to Kurukshetra university,
Kurukshetra by Bijoy Kumar Shill in 1999
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2. “ Higher Relative relation modules” Submitted to Kurukshetra university ,
Kurukshetra, by Vikram Verma in 1999
3. “The Relative relation modules of finite groups” Submitted to Kurukshetra
university by Poonam Sharma in Kurukshetra , 2000
4. “ Generalized semi-closed sets in topological spaces” Submitted to Periyar
University by Arti Sharma in April 2007
5. “Semi-generalized Regular spaces and semi-generalized Normal spaces” Submitted
to Periyar University by Rohit Sharma in April 2007
6. “ Decomposition of fuzzy topological spaces” Submitted to Periyar University by
Poonam Bhardwaj in May 2007
7. “ Strongly connected spaces” Submitted to Alagappa University by Shallu, in May
2007
8. “Semi-connectedness and semi-locally connectedness in Biotopological spaces”
Submitted to Periyar University by Shobik Soni in June 2007
9. “ Certain Common Fixed Point Theorems” Submitted to Periyar Universityby
Pooja Anand in July 2007
10. “ Connectedness in Biotopological spaces” Submitted to Periyar University by
Geetanjali in July 2007
11. “ Quasi-metric space and Biotopological spaces” Submitted to Periyar University
by Pushpinder in october, 2007
12. “ Fuzzy α - connecedness and Fuzzy α - disconnectedness in Fuzzy topological
spaces.” Submitted to Chawdary Devi lal University , Hisar , Harayana by
Harinder Pal in 2008
13. “Compactness in Fuzzy topological spaces” Submitted to Vinayka Mission
Research Foundation–Deemed University, Saleem ( Tamil-Nadu) by Divya
Kakkar in 2008
14. “ Finistic spaces in L-topology” Submitted to Vinayka Mission Research
Foundation–Deemed University, Saleem ( Tamil-Nadu) by Naveen Kumar in 2008
15. “ Semi-continuity and Semi-homeomorphism in topological spaces” Submitted to
SRI Venkateswara University , Tirupati by Paramjeet Singh in 2008.
16. “ Some weak form of continuity in Topological spaces” Submitted to Maharishi
Markandeshwar University (Mullana), Ambala, Harayana by Raman deep in 2009
16. 16
17. “ Fixed point Theorems in Generalized metric spaces” Submitted to Maharishi
Markandeshwar University (Mullana), Ambala, Harayana by Gagandeep Kaur in,
2009
18. “ Minimal Presentation of Groups” Submitted to Maharishi Markandeshwar
University (Mullana), Ambala, Harayana by Najar Singh in 2009
19. “ On Fuzzy Bitopological Spaces” Submitted to Maharishi Markandeshwar
University (Mullana), Ambala, Harayana by Kannu Kochhar in 2009
20. “ Some Relation modules of Finite Groups” Submitted to Maharishi
Markandeshwar University (Mullana), Ambala, Harayana by Rajni Goyal in 2009
21. “ Compactness in Bitopological spaces” Submitted to Maharishi Markandeshwar
University (Mullana), Ambala, Harayana by Gaurav Jindal in 2009
22. “ Projective and Injective Modules “Submitted to Maharishi Markandeshwar
University (Mullana), Ambala, Harayana by Sumit Garg in 2009
23. “ On Semi-homeomorphism in Topological spaces” Submitted to Maharishi
Markandeshwar University (Mullana), Ambala, Harayana by Sushma Sharma in
2009
24. “ Relative Relation modules of Finite groups” Submitted for Maharishi
Markandeshwar University (Mullana), Ambala, Harayana, by Bharti Thakur,
June,2010
25. Some Common Fixed point Theorems in Metric Spaces” Submitted for
Maharishi Markandeshwar University (Mullana), Ambala, Harayana by Rualjit
Kaur in June, 2010
Project in Progress:
(1) A U.G.C. Major Research Project has been sanction for Rs. 1005000/- on the
topic “ A study of Intuitionistic Fuzzy G-Modules”
(2) Supervising Mrs. Aradhna Duggal for Ph.D enrolled from Pacific University,
Udaipur, Rajasthan.
(3) Supervising Mr. Amit Seghal for Ph.D enrolled from NIILM University, Kaithal,
Haryana.
(4) Supervising Ms. Vandana Bansal for Ph.D enrolled from PTU University,
Jalandhar, Punjab.
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(5) Supervising Ms. Gagandeep Kaur for Ph.D enrolled from PTU University,
Jalandhar, Punjab.
Courses Taught :
Topology, Modern Algebra, Real Analysis, Theory of Numbers, Dynamics and Statics
Linear Algebra and Calculus, Discrete Mathematics.
Membership of Professional Bodies :
1. Life Member of Ramanujan Mathematical Society (RMS)
2. Life Member of Indian Society of Information Theory and Application (ISITA)
3. Life Member of Indian Mathematical Society (IMS)
4. Life Member of Jammu Mathematical Society ( JMS)
Editor/ Referee / Reviewer of Journals
1. Member of the Editorial Board of “International Journal of Fuzzy Mathematics
and Systems”, of Research India Publication, New-Delhi.
2. Member of the Editorial Board of “International Journal of Engineering
Research & Management Technology, Published by : Advances Research
Educational Society
3. Referee of Journal of Intelligent and Fuzzy System, STM Publishing House ,
IOS Press.
4. Referee of Neural Computing and Application, Springer Link
5. Journal of the Egyptian Mathematical Society
6. Annals of Fuzzy Mathematics and Informatics (AFMI).
Additional Qualification
1. Certificate Course in C++ language form IBM with O- Grade ( June, 2002)
2. Certificate Course in ABC of Windows from Tata InfoTech Education (Aug.,
2001)
3. Working Knowledge of Foxfro Language (Private, 2000)
Additional Information
• Nominated in who’s who in the world for 2015
18. 18
• Intelligence measurement program (online test conducted by Tickle) , I earned
distinction with IQ score of 122 (Dec. 2005)
http://web.tickle.com/tests/uiq/certificate.jsp
Name of referees :
1. Prof.(Dr.) Mohammad Yamin, Department of Management Information System
Faculty of Economics and Administration , King Abdulaziz University , Jaddah
Saudi Arabia
Email- yamin786@hotmail.com , Tell no. + 966502109000
2. Prof. Sharfuddin Ahmad, Department of Mathematics, Faculty of Natural
Science, Jamia Millia Islamia, Jamia Nagar, New Delhi – 110025, India.
Email - ahmad_sharfuddin@rediffmail.com , Tell no - 09990367296
3. Prof. (Dr.) I.B.S. Passi , Professor Emeritus and Honorary Professor IISER-
Mohali , Center for Advanced Study in Mathematics, Punjab University ,
Chandigarh. PIN- 160014
Email ibspassi@yahoo.co.in and passi@pu.ac.in , Tell No. 09872448638 (M)
4. Prof. (Dr.) T. D. Narang , Professor Emeritus and Honorary Professor Department
of Mathematics , Guru Nanak Dev University Amritsar, Punjab.
Email tdn@yahoo.co.in Tell No. 09815710509 (Resi) , 09815710509 (Mobile)
Mailing address :
Office: Residence:
P.G. Department of Mathematics H.NO-19 , Arjun Nagar
D.A.V. College , Jalandhar City Ladowali Road , Jalandhar City ,
Punjab, India. PIN- 144008 Punjab, India. PIN - 144001.
E-mail : pksharma@davjalandhar.com , pksharma_davc@yahoo.co.in
Phone : (O) 0181-2255641 , 42 , 43
(R) 0181-2238747 Mobile : 09872006365