DOCSLIB.ORG

Quaid-I-Azam University Department of Mathematics M

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Quaid-I-Azam University Department of Mathematics M QUAID-I-AZAM UNIVERSITY DEPARTMENT OF MATHEMATICS M. Phil. Produced (1967 to 2018) Year of Name of Supervisor S# Name of Student Award of Dissertation Title/Approved on Approved on Degree Muhammad Idrees 1 1967 Dr. Q.K. Ghori On the Second Method of Liapunov & its applications to the steady motion of gyroscope Ch. 2 Miss Kulsoom Aijaz 1967 DR. S.A. Haq Ivestigation in the category of graded algebras Muhammad Abdur 3 1967 Dr. Q.K. Ghori Stability in the Large of the two differential Equations Rahim Muhammad Aslam 4 1967 Dr. A.H. Baloch Linear regression with auto correlated errors. Noor 5 M. Siddique Ansari 1967 Dr. A.H. Baloch Specification errors in Linear Model 6 Munawar Hussain 1967 Dr. Q.K. Ghori Absolute stability of Non-Linear control systems 7 Muhammad Nazir 1968 Dr. Q.K. Ghori The Problem of centre and focus 8 Miss Khalida Inayat 1968 Dr. Q.K. Ghori Singularities of the systems of two differential equations 9 Abdul Rashid 1969 Dr. A.H. Baloch Convegence Theory in Statistics M. Phil. Produced (1967 to 2018) Department of Mathematics 1 of 91 Year of Name of Supervisor S# Name of Student Award of Dissertation Title/Approved on Approved on Degree 10 A.B. Masudul Alam Ch. 1969 Dr. A.H. Baloch Multicillinearity problems in linear models 11 Miss Razia Begum 1969 Dr. Q.K. Ghori Singular points and limit cycles 12 Miss Khudaja Begum 1969 Dr. Q.K. Ghori On conditions for existence of stable & unstable centres. 13 Shaukat Hussain 1969 Dr. C.M. Hussain Three Dimensional rotation Group 14 Hafiz Ali Muhammad 1970 Dr. A.H. Baloch Characterization of Normal Distribution Muhammad Yaqub 15 1970 Dr. Q.K. Ghori The Hamilton-Jacobi Method for Dynamical Systems Nasir 16 Saleem Asghar 1970 Dr. C.M. Hussain Four Dimensional Enclidean Group & Hydrogenic Atom 17 Muhammad Shafiq 1970 Dr. Q.K. Ghori Perturbation Theory Muhammad Tufail 18 1970 Dr. C.M. Hussain Lorentz Group Naseem 19 Munzur Ali ajiz 1971 Dr. C.M Hussain Irreducible Tensors 20 Muhammad Sadiq Zia 1971 Dr. M.A. Rashid The Lower Radical Construction in Associative Rings 21 Iqbal Ahmed 1971 Dr. Q.K.. Ghori The Three-body problem 22 Shaban Ali Bhatti 1971 Dr. M.A. Rashid Banach Spaces M. Phil. Produced (1967 to 2018) Department of Mathematics 2 of 91 Year of Name of Supervisor S# Name of Student Award of Dissertation Title/Approved on Approved on Degree Muhammad Iqbal 23 1971 Dr. Q.K. Ghori Poincare’s Equations Tahir 24 Abdul Saeed 1971 Dr. M.A. Rashid Spectral Theory 25 Miss Abida Sheikh 1971 Dr. C.M. Hussain Super Hilbert Spaces 26 Walayat Shah 1972 Dr. C.M. Hussain Invariant Equations under Rotation 27 Aftab Ahmed Malik 1972 Dr. C.M. Hussain Eulers Angles 28 Nazir Ahmed Mir 1972 Dr. M.A. Rashid The Banach Algebras 29 Khalid Rashid 1972 Dr. M.A. Rashid The Lebesque-Radon-Nikody’m Theorem Miss Fehmida Naz 30 1972 Dr. A.V. Arhangelskii A Survey of General & Spacial Diffnitions of Topological Ahmed 31 Khawaja Zafar Ellahi 1972 Dr. C.M. Hussain Spark Effect in Hydrogen Atoms for Nonuniform Fields Maqsudul Hassan 32 1972 Dr. C.M. Hussain Canonical Transformations and spectra of Quantum Mechancis Khan 33 Muhammad Aslam 1972 Dr. C.M. Hussain The Phase shift as a continuous functional 34 Miss Rashida Faruqi 1972 Dr. Q.K. Ghori Mechanics of Systems with variables mass 35 Muhammad Anwar 1972 Dr. Javed Ahsan Injective Modules M. Phil. Produced (1967 to 2018) Department of Mathematics 3 of 91 Year of Name of Supervisor S# Name of Student Award of Dissertation Title/Approved on Approved on Degree 36 Syed Farhat Mahmud 1973 Dr. Q.K. Ghori The Variational Principles Representations of the three dimensional rotation group in terms of direction and angle of 37 Sajjad Akhtar Moghal 1973 Dr. C.M. Hussain rotation. 38 Ghulam Mustafa 1974 Dr. Q.K. Ghori Poincare Equations 39 Shaukat Iqbal Piracha 1974 Dr. C.M. Hussain Clebsch Gordan Coefficients 40 Ataullah Khan 1974 Dr. Q.K. Ghori The Hamiltonian Dynamics of Nonholonomic Systems 41 Miss Sabiha Akhtar 1974 Dr. Javed Ahsan Polynomial Rings Muhammad Saeed 42 1974 Dr. C.M. Hussain Restricted lorentz group Akhtar Muhammad Aslam 43 1974 Dr. H.M. Loynes Decision Theory Javed 44 Naseer Ahmed 1974 Dr. Q.K. Ghori The Hamilton-Jacobi Method 45 Sohail Mustafa 1975 Dr. Q.K. Ghori Free Oscillations of Liquid in rigid vessels Abdul Waseem 46 1975 Dr. C.M. Hussain Hydrogen Atom Siddiqui 47 M. Farid Khan 1975 Dr. Asghar Qadir The Boundi-Metzner-Sachs Asymptotic Symmetry Group Muhammad Ishaq 48 1975 Dr. Javed Ahsan Endomorphism rings of certain abelian groups Zahid M. Phil. Produced (1967 to 2018) Department of Mathematics 4 of 91 Year of Name of Supervisor S# Name of Student Award of Dissertation Title/Approved on Approved on Degree 49 M. Zakaullah Khan 1976 Dr. S.M. Yusuf Semigroups of right quotients of a Semigroup which is a semillattice of groups 50 Muhammad Munir 1976 Dr. Javed Ahsan Uniserial rings 51 Abdul Majeed Minhas 1976 Dr. C.M. Hussain Wave Equations 52 Abdul Majeed Siddiqui 1976 Dr. C.M. Hussain Spherical Harmonics 53 Aftab Ahmed 1976 Dr. C.M. Hussain Laplace Transformation 54 Sabeeh Ali 1976 Dr. B.A. Saleemi Some topics in the theory banach algebras 55 Miss Raheela Shahnaz 1976 Dr. S.M. Yusuf Compact Operators 56 Ch. Masood Khalique 1976 Dr. C.M. Hussain The Heat Equation Muhammad Asif 57 1976 Dr. Asghar Qadir Shells-Arestriction on Rings Naseer 58 Raja Muhammad Latif 1976 Dr. B.A. Saleemi Compactification Spaces 59 Ansar Ahmad Khan 1977 Dr. S. Shafaat Ali Absolute and srong methods of summability Muhammad Asif 60 1977 Dr. S.M. Yusuf Hausdorff methods of summability Qureshi Mian Mohammad 61 1977 Dr. C.M. Hussain Representation of three dimensional rotation group Aslam M. Phil. Produced (1967 to 2018) Department of Mathematics 5 of 91 Year of Name of Supervisor S# Name of Student Award of Dissertation Title/Approved on Approved on Degree 62 Mukhtar Ahmed 1977 Dr. Fazal-ur-Rehman Fundamental solutions of the equation X2-Dy2=+1 FOR D 1400 bachet’s problems of weights 63 Nighat Rashid 1978 Dr. S.M. Yusuf Polynomial Semirings 64 Qaiser Mushtaq 1978 Dr. S.M. Yusuf Left Almost Semigroups 65 Talat Shaheen 1978 Dr. S.M. Yusuf Radicals of Additively Inversive Hemirings 66 Muhammad Ashraf 1978 Dr. Q.K. Ghori Whittaker’s Equations for Nonlinear Nonholonomic dynamical Systems. 67 Ghulam Sarwar 1978 Dr. B.A. Saleemi Morse Theory 68 Muhammad Ashraf 1979 Dr. B.A. Saleemi 2-Normed Linear Spaces 69 Saadia Khan 1979 Dr. C.M. Hussain Solutions of Laplace’s Equation and Wave Equation Mohammad Afzal 70 1979 Dr. Q.K. Ghori Particular Solutions of the Equations of Motion Khan 71 Abdul Karim 1979 Dr. Q.K. Ghori Integral of Dynamical Systems in Group Variables 72 Shaheen Intizar 1979 Dr. S.M. Yusuf Radicals of Additively Inversive Hemirings 73 Ghazala Shaheen 1979 Dr. C.M. Hussain Representations of Lorentz Group & three Brackets 74 Tariq Mahmood Khan 1979 Dr. C.M. Hussain The Klein-Gordon Equation M. Phil. Produced (1967 to 2018) Department of Mathematics 6 of 91 Year of Name of Supervisor S# Name of Student Award of Dissertation Title/Approved on Approved on Degree 75 Muhammad Ali 1980 Dr. C.M. Hussain Three Dimensional Complec Rotation Group 76 Miss Qamar Iqbal 1980 Dr. S.M. Yusuf Pseudo-Rings Capt. Muhammad 77 1981 Dr. Asghar Qasir Pulsars and Neutron Stars Rafique Ghulam Ahmad 78 1981 Dr. C.M. Hussain Solutions of the Klein-Gordon Equation with Potentials. Muslim 79 Syed Iftikhar Ahmad 1981 Dr. Q.K. Ghori Application of Group Variables in Nouholonomic Mechanics 80 Farzand Ali 1981 Dr. C.M. Hussain Operator Techniques in three Dimensions 81 Sajjad Hussain 1981 Dr. C.M. Hussain Continuous Group Dr. Khawaja Zafar- 82 Nasreen Kausar 1981 Solution of Non-Linear Partial Differential Equations in Fluid Dynamics Elahi 83 Akhtar Hussain 1981 Dr. Liaqat Ali Khan The Theory of Double Centralizers on B*-Algebras 84 Muhammad Tasneem 1981 Dr. Asghar Qadir Some Developments in Penrose Graphs 85 Farhad Ali 1982 Dr. Liaqat Ali Khan On a class of Ordered Topological Vector Spaces S. Ashfaq Hussain 86 1982 Dr. Asghar Qadir Coupled Einstein Equations Shah Bokhari 87 Nasira Adeeba 1982 Dr. C.M. Hussain An Explansion in Eigenfunctions M. Phil. Produced (1967 to 2018) Department of Mathematics 7 of 91 Year of Name of Supervisor S# Name of Student Award of Dissertation Title/Approved on Approved on Degree 88 Ghani Rehman 1982 Dr. S.M. Yusuf Pseudi-Rings 89 Waheed-ur-Rehman 1982 Dr. C.M. Hussain Solution of Laplace Equation in Four Dimensions Muhammad Mian 90 1982 Dr. S.M. Yusuf Semimodules Khan 91 Muhammad Ilyas 1982 Dr. M.Y. Nasir Propogation of Alfv’en Waves in a Real Magnetohy-drodynamics Fluid. 92 Ashraf Ali 1982 Dr. Khalid Rashid Finite Difference Approach to Partial Differential Equations. Maqsood Ahmad 93 1983 Dr. G. Murtaza Magnetohydroynamics Tabassum Mian Khurshid-ul- 94 1983 Dr. C.M. Hussain Some Properties of F-Functions Wahab Khel 95 Tahira Irfan 1983 Dr. Saleem Asghar Mathematical Modeling in the Bay of Bengal 96 Alam Zeb 1983 Dr. Saleem Asghar Field within parallel plate waveguide 97 Mureed Hussain 1983 Dr. Khalid Rashid Simulation of Nonsteady incompressible viscous fluid flow. 98 Muhammad Shabir 1984 Dr. S.M. Yusuf Radical Theory for Hemirings 99 Farooq Ahmed Besmel 1984 Dr. Saleem Asghar Generation of Kelvin-Waves by a finite Barrier 100 Ghulam Hussain Zahid 1984 Dr.
Load more

Recommended publications
  • High-Level Nuclear Wastes and the Environment: Analyses of Challenges and Engineering Strategies
    World Journal of Nuclear Science and Technology, 2012, 2, 89-105 http://dx.doi.org/10.4236/wjnst.2012.23015 Published Online July 2012 (http://www.SciRP.org/journal/wjnst) High-Level Nuclear Wastes and the Environment: Analyses of Challenges and Engineering Strategies Mukhtar Ahmed Rana Physics Division, Directorate of Science, PINSTECH, Islamabad, Pakistan Email: [email protected], [email protected] Received February 11, 2012; revised April 2, 2012; accepted April 19, 2012 ABSTRACT The main objective of this paper is to analyze the current status of high-level nuclear waste disposal along with presen- tation of practical perspectives about the environmental issues involved. Present disposal designs and concepts are ana- lyzed on a scientific basis and modifications to existing designs are proposed from the perspective of environmental safety. A new concept of a chemical heat sink is introduced for the removal of heat emitted due to radioactive decay in the spent nuclear fuel or high-level radioactive waste, and thermal spikes produced by radiation in containment materi- als. Mainly, UO2 and metallic U are used as fuels in nuclear reactors. Spent nuclear fuel contains fission products and transuranium elements which would remain radioactive for 104 to 108 years. Essential concepts and engineering strate- gies for spent nuclear fuel disposal are described. Conceptual designs are described and discussed considering the long-term radiation and thermal activity of spent nuclear fuel. Notions of physical and chemical barriers to contain nu- clear waste are highlighted. A timeframe for nuclear waste disposal is proposed and time-line nuclear waste disposal plan or policy is described and discussed.
    [Show full text]
  • For Website UNCLAIMED DIVIDEND and SHARES 1964-2016 INTERIM
    MURREE BREWEREY CO. LTD. 3-National Park Road, Rawalpindi Unclaimed Dividend and Shares from 1964 to 2016 as on 30-06-2019 Sr Name of Shareholder/ Certificate holder Nationality CNIC/ Incorporation Old Folio / CD New Folio No. of Unclaimed Amount of No./ Registration Acct No. No. Shares Unclaimed No. Dividend 1 MR AHMED ABDUL REHMAN NOOR AHMED INDIA NA A004 10004 6,881 673,098 2 MRS ALMANI D DUBASH INDIA NA A006 10006 - 6,478 3 MR AMAR NATH RAWALPINDI NA A008 10008 7,055 330,961 4 MR ABDUL RAHIM DADI KARACHI NA A018 10018 - 6,611 5 MR AKHTAR ALI BHIMJI KARACHI NA A023 10023 352 19,138 6 MRS A C KEADY UK NA A024 10024 - 81 7 MR A S TURNER ESQR UK NA A034 10034 - 912 8 MR ANWAR AHMED WARRIACH LAHORE NA A040 10040 536 39,103 9 M/S ADAMJEE SONS LTD KARACHI NA A044 10044 - 295 10 MR ABA UMAR NOOR MOHAMMAD CHITTAGONG NA A049 10049 - 170 11 MR AMANULLAH SHEIKHZADA KARACHI NA A050 10050 - 771 12 MR ABDUL MANAN MOZANDAR KARACHI NA A059 10059 - 319 13 MR AMIN ISSA TAI KARACHI NA A060 10060 - 1 14 MR A QUDDUS KARACHI NA A065 10065 - 14 15 MR A R KHAN KARACHI NA A066 10066 92 7,565 16 MR AFTAB ALI GAZDAR KARACHI NA A070 10070 271 26,734 17 MRS ASMA AFZAL KARACHI NA A071 10071 - 111 18 LT COL AIJAZ AHMAD KHAN KHOSKI, BADIN NA A073 10073 2,810 203,145 19 MRS AKHTAR BANOO LAHORE NA A078 10078 134 7,945 20 MR ABDUL RAUF GILL LAHORE NA A082 10082 71 6,443 21 MR ABDULLA HAJI KARACHI NA A083 10083 84 5,774 22 MR ABOOBAKAR SULEMAN KARACHI NA A087 10087 - 2,412 23 MR AZAR AWAN KARACHI NA A088 10088 186 15,883 24 MR AHMED DADA KARACHI NA A095 10095 - 8,727 25 MR ABDULLAH GULAB SHAIKH KARACHI NA A098 10098 235 16,514 26 MR ANJUM M SALEEM FAISALABAD.
    [Show full text]
  • Letters to the Editor
    Letters to the Editor Mathematics in Pakistan ones on account of its more rigorous We found the article “The Abdus requirements for its postgraduate Salam School of Mathematical Sci- programs and the broad base pro- ences in Pakistan” by Loring W. Tu vided. It has already started pro- (Notices, August 2011) very interest- ducing extremely good Ph.D.’s and ing. It is highly commendable that M.Phils. in mathematics and physics, the efforts made in Pakistan to im- many of whom have already received prove the state of education in gen- international recognition. eral and mathematics, in particular, The COMSATS Institute of Infor- are acknowledged and appreciated mation Technology is producing the internationally. It is also desirable largest quantum of mathematical re- that these actions get support from search in the country and a very large mathematicians across the globe as number of research graduates. As at well as phase. A picture using this mathematics is essentially an interna- the SMS and QAU, the graduates are scheme appeared in the Mathematical tional activity. These include specific more limited in their backgrounds. Art Exhibit at the Joint Mathematics forms of support mentioned in this The Lahore University of Manage- Meetings in San Antonio in January article for SMS as well. ment Sciences started a graduate 2006 [see accompanying graphic]. As efforts towards improving the program in mathematics a long time Visual Basic code for this color map- state of education and research in ago. However, it did not become a ping can be found at http://w. Pakistan do not get much interna- major producer of graduates or re- american.edu/cas/mathstat/ tional attention, we have an appre- search at the time.
    [Show full text]
  • QUAID-I-AZAM UNIVERSITY DEPARTMENT of MATHEMATICS Ph.D
    QUAID-I-AZAM UNIVERSITY DEPARTMENT OF MATHEMATICS Ph.D. Produced (1971 to 2018) Year of Award S# Name of Student Name of Supervisor Approved on Dissertation Title/Approved on of Degree 1 Muhammad Saddiq Ansari 1971 Dr. A.H. Baloch Mixture of Normal Distributions On the Equations of Motion of a Nonholonomic Dynamical 2 Ch. Munawar Hussain 1971 Dr. Q.K. Ghori System in Poincare-Cetaev Variables 3 Saleem Asghar 1976 Dr. M. A. Rashid Some Diffraction Problems using the Wiener-Hopt Technique 4 Jawaid Quamar 1984 Dr. Asghar Qadir Relativistic Gravito-Dynamics and Forces 5 Muhammad Rafique 1985 Dr. Asghar Qadir Some Implictions of the ΨN-Formalism Syed Ashfaque Hussain 6 1987 Dr. Asghar Qadir Conformal Extension of ΨN-Formalism Bokhari 7 Naseer Ahmed 1987 Dr. Q.K. Ghori Some Problems in the Dynamics of Nonholonomic Systems 8 Mohammad Sharif 15-10-1991 Dr. Asghar Qadir19-09-1988 Forces in Non-Static Spacetimes29-05-1990 9 Akbar Azam 01-04-1992 Dr. Ismat Beg19-09-1988 Fixed Points of Multivalued Maps29-05-1990 10 Muhammad Ziad 29-01-1992 Dr. Asghar Qadir19-09-1988 Spherically Symmetric Spacetimes29-05-1990 Ph.D. Produced (1971 to 2018) Department of Mathematics 1 of 15 Year of Award S# Name of Student Name of Supervisor Approved on Dissertation Title/Approved on of Degree 11 Muhammad Ayub 06-10-1992 Dr. Saleem Asghar19-09-1988 Diffraction of Acoustic Waves by half Planes 29-05-1990 12 Qamar Iqbal 15-10-1992 Dr. Qaiser Mushtaq10-02-1988 Some Studies in Left Almost Semigroups10-02-1988 13 Farhana Shaheen 22-10-1992 Dr.
    [Show full text]
  • Revized Voter's List for PPS Election 2014 Membership Title Name of Member Position Postal Address No
    Revized Voter's List for PPS Election 2014 Membership Title Name of Member Position Postal Address No 1 Dr G Murtaza Professor Salam Chair in PhysicsG. C. University, Lahore 2 Dr Asghari Maqsood Professor NUST, Rawalpindi Associate Department of Physics,Quaid-i-Azam University, 3 Dr Imrana Ashraf Professor Islamabad 4 Mr Farid A. Khawaja Professor Islamabad 5 Dr A. H. Nayyar Professor Sustainable Development Institute of Pakistan Department of Physics, Quaid-i-Azam University, 6 Dr M Zakaullah Professor Islamabad. 7 Dr M. Aslam Baig Professor Quaid-i-Azam University, Islamabad 8 Dr Sajjad Mamood Professor USA 9 Dr Kamaluddin Ahmed Professor House 178, Street 18, F-10/2, Islamabad Associate 10 Dr Muhammad Iqbal University of Engineering and Technology, Lahore Professor Associate 11 Dr Khalid Khan Quaid-i-Azam University, Islamabad Professor 12 Dr Samina S. Masood USA C/o National Centre of Physics at Quaid-i-Azam 13 Dr Fayyazuddin Professor University, Islamabad 14 Dr Riazuddin Professor Deceased Department of Physics, Quaid-i-Azam University, 15 Dr Arshad M. Mirza Professor Islamabad Department of Physics, Quaid-i-Azam University, 16 Dr S. K. Hasanain Professor Islamabad Centre for Advanced Mathematics & Physics, 17 Dr Asghar Qadir Professor National University of Sciences & Technology 18 Dr A. J. Hamdani Professor H. No. 522, St. 46, G-10/4, Islamabad Air University, PAF Complex Sector E-9, 19 Dr Abdullah Sadiq Professor Islamabad 20 Dr M. Anwar Professor Ex. C.S.O. PAEC H# 51, St #62, F- 10/3 Islamabad 21 Dr Khalid Rashid Scientist 473-B, St. 10, F-10/2, Islamabad.
    [Show full text]
  • Nustnews Volume-Ii / Issue-Iv October-December 2011
    QUARTERLY NEWSLETTER NUSTNEWS VOLUME-II / ISSUE-IV OCTOBER-DECEMBER 2011 Int’l training workshop on Flood Warning & Management 10 IEEE Student Congress in New Zealand 08 Meet the Scientist: Dr. Ishfaq Ahmad 12 Paragliding Training Course 30 INSIDE HIGHLIGHTS PAGE 03 01 CO-CURICULARS CORNER PAGE 27 04 VISITS PAGE 14 02 SPORTS NEWS PAGE 31 05 UPDATES FROM SCHOOLS PAGE 17 03 ACHIEVEMENTS PAGE 33 06 The last quarter of 2011 has been rewarding for the entire NUST community: students continued bringing laurels to the University; graduates passed out in graceful convocation ceremonies; international conferences on emerging issues held; and linkages with the world’s top-notch universities progressively flourished, needless to mention the unstinting support of NUST management and hard work of both faculty and students. Though each and every endeavour at NUST reflects rational exuberance for making a difference, the successful culmination of first ever Prime Minister’s Entrepreneurial Challenge in October was a great achievement. The event, to be held annually under the direct support of the government stakeholders including MoST and HEC, kindles hope for economic resurrection of the country through the promotion of entrepreneurial culture. At a time of sheer financial meltdown, NUST has been a vibrant force in pursuing HEC’s vision of attaining prosperity through building knowledge-based economy; the initiative EDITORIAL of business plan competition being a glaring example. In keeping with the tradition of bringing you latest university news, this edition of NUSTNEWS covers a wide range of NUST activities undertaken by faculty, students and staff. I deem it appropriate to acknowledge here the efforts of our editorial staff, which leaves no stone unturned in preparing a comprehensive newsletter for all of our dear readers.
    [Show full text]
  • Some Exact Solutions of the Einstein–Maxwell Field Equations in Spherical Geometry
    Some Exact Solutions of the Einstein–Maxwell Field Equations in Spherical Geometry by Ayesha Mahmood Regn. No. NUST201390124TPSNS7113S A thesis submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics Supervised by Prof. Azad Akhter Siddiqui Department of Mathematics School of Natural Sciences National University of Sciences and Technology Islamabad, Pakistan August, 2019 Dedicated to my sweet little daughter Hareem Fatima and my husband Muhammad Younis. Abstract In this thesis, the aim is to present some new classes of non–static and static, spherically symmetric solutions of the Einstein–Maxwell field equations representing compact objects with negative pressure. Throughout this thesis the space–time geometry is spherical, the radial pressure is negative, and the matter density equals the negative value of the radial pressure (either it is considered or it comes out as a con- sequence of the calculations). Several non–static solutions are found by taking an ansatz for the components of the metric tensor and on the square of electric field intensity. The solutions are shown to satisfy physical boundary conditions associated with the exact solutions of the Einstein–Maxwell field equations. Due to negative pressure, these solutions can model physical systems such as expanding compact ob- jects containing negative pressure. Petrov and Segre´ classifications that these obtained solutions admit are also discussed in detail. Two static solutions of the field equations are also obtained with the ansatz similar to that for the non–static cases in order to have a look how the solutions behave for these kind of ansatz in static geometry.
    [Show full text]
  • Metric in Cartesian Co-Ordinates, G
    ic/aa/77 With the advent of supergrsvity theories ~ the Vierbein fonttalisE INTERNAL REPORT (Limited distribution) has come into extensive use. Basically a Vierbein, .converts a flat metric in Cartesian co-ordinates, g. into a general metric, International Atomic Energy Agency according to the equation (1) ted Kations Educational. Scientific and Cultural Organization ItJTERHATICKAL CENTRE FOR THEORETICAL PHYSICS In some sense, then, the Vierbein may be regarded as a "four-dimensional square root" of the general metric tensor. In fact this applies in more or less the same sense that the Dirac spinor is regarded as "the square root of the Minkowski It-vector". The curved space-time generalization of the flat apace- time Dirac matrices, Y- > given by the commutation relations, A PRESCRIPTION! FOH n-DIMEHSIONAL VIERBEINS * [ (2) V eab transform according to the rule Ashf&que H. Bokhari (3) Mathematics Department, Quaid-i-Azam University, Islamabad, Pakistan, These generalized Y-matrices are frequency used when dealing with spinor and fields in general relativity . It would be useful to be able to write Asghar Qadir ** dovm Vierbeins in an arbitrary space-time. Further, higher dimensional International Centre for Theoretical Physics, Trieste, Italy. Vierbeins would be useful when dealing, for example, with the eleven- dimensional supergravity which reduces to SU(8) supergravity , or in tiieher dimensional theories of the Kaluza-Klein variety such as those of Chodos and ABSTRACT Detweiler or Halpern . In this paiser we provide a prescription to be able to write down a Vierbein given a metric in any number of dimensions. Recent developments in supergravity have brought the n-dimensional Before swing on we need to introduce certain notation.
    [Show full text]
  • December 2006
    IMU BULLETIN of the INTERNATIONAL MATHEMATICAL UNION No. 54 December 2006 Secretariat: Institute for Advanced Study Einstein Drive Princeton, New Jersey 08540, USA as of January 1, 2007 c/o Konrad-Zuse-Zentrum Takustr. 7 D-14195 Berlin, Germany http://www.mathunion.org List of Abbreviations CDE Commission on Development and Exchange CEIC Committee on Electronic Information and Communication ICHM International Commission on the History of Mathematics ICMI International Commission on Mathematical Instruction ICSU International Council for Science IUHPS International Union of the History and Philosophy of Science 2 Dear Members of the International Mathematical Union, The present bulletin is the 54th in the series of bulletins edited by the International Mathematical Union so far. It has been a many years’ tradition to publish one bulletin per year or even two or three bulletins in the year of an International Congress of Mathematicians. Bulletin No. 54 covers the year 2006 and is referring especially to the 15th General Assembly in Santiago de Compostela, Spain, August 19-20, 2006 and the International Congress of Mathematicians 2006 in Madrid, Spain, August 22-30, 2006. The Report of the General Assembly gives a statement on IMU’s life during the term 2003- 2006, reports on the outcome of the elections of the Executive Committee and the other committees and commissions for the term 2007-2010, accounts on IMU’s finance and gives an overview of the decisions, recommendations, resolutions, etc. adopted by the General Assembly some of which are of importance in the short term and some need implementation in the longer term.
    [Show full text]
  • Noether's Theorem and Symmetry
    Noether’s Theorem and Symmetry Edited by P.G.L. Leach and Andronikos Paliathanasis Printed Edition of the Special Issue Published in Symmetry www.mdpi.com/journal/symmetry Noether’s Theorem and Symmetry Noether’s Theorem and Symmetry Special Issue Editors P.G.L. Leach Andronikos Paliathanasis MDPI • Basel • Beijing • Wuhan • Barcelona • Belgrade Special Issue Editors P.G.L. Leach Andronikos Paliathanasis University of Kwazulu Natal & Durban University of Technology Durban University of Technology Republic of South Arica Cyprus Editorial Office MDPI St. Alban-Anlage 66 4052 Basel, Switzerland This is a reprint of articles from the Special Issue published online in the open access journal Symmetry (ISSN 2073-8994) from 2018 to 2019 (available at: https://www.mdpi.com/journal/symmetry/ special issues/Noethers Theorem Symmetry). For citation purposes, cite each article independently as indicated on the article page online and as indicated below: LastName, A.A.; LastName, B.B.; LastName, C.C. Article Title. Journal Name Year, Article Number, Page Range. ISBN 978-3-03928-234-0 (Pbk) ISBN 978-3-03928-235-7 (PDF) Cover image courtesy of Andronikos Paliathanasis. c 2020 by the authors. Articles in this book are Open Access and distributed under the Creative Commons Attribution (CC BY) license, which allows users to download, copy and build upon published articles, as long as the author and publisher are properly credited, which ensures maximum dissemination and a wider impact of our publications. The book as a whole is distributed by MDPI under the terms and conditions of the Creative Commons license CC BY-NC-ND.
    [Show full text]
  • Ghulam Ishaq Khan Institute of Engineering Sciences and Technology Table of Contents
    2019 Ghulam Ishaq Khan Institute of Engineering Sciences and Technology Table of Contents Vission and Mission 2 List of Abbreviation and Acronyms 3 Message from Rector 4 Message from the Pro-Rector (Academics) 5 Message from the Pro-Rector (Admin and Finance) 6 About GIK Institute 7 Board of Governors 8 Committee & Council 9 Faculties / Departments 10 Deans / HoDs 11 CHAPTER 1: Academic Activities & Accomplishments 12 CHAPTER 2: Faculty Accomplishments/Research and Development 36 CHAPTER 3: Quality Assurance 59 CHAPTER 4: Administrative Services 67 CHAPTER 5: Industrial Linkages/ORIC/Student Activities 79 CHAPTER 6: Student Activities & Events 92 CHAPTER 7: Strengthening Technological Infrastructure 108 2 & && && && && && && & E THE VISION E The Institute aspires to a leadership role in pursuit of excellence in Engineering Sciences and T echnology & & & & THE MISSIO N The Institute is to provide excellent teaching and research environment to produce graduates who distinguish themselves by their professional competence, research, entrepreneurship, humanistic outlook, ethical & & & rectitude, pragmatic approach to problem solving, managerial skills and & ability to respond to the challenge of socio-economic development to serve as the vanguard of techno-industrial transformation- of the society. E - E && && && && && && & & 3 List of Abbreviations And Acronyms ACM - Association of GSS - GIK Sports Society, ORIC - Office of Research Computing Machinery Cricket Club, Hockey team, Innovation & Adventure Club - Sailing, Badminton team Commercialization
    [Show full text]
  • Curriculum Vitae Muhammad Ziad
    Curriculum Vitae Muhammad Ziad https://www.researchgate.net/profile/M_Ziad https://scholar.google.com/citations?user=1dQeOYUAAAAJ&hl=en PERSONAL INFORMATION Full Name Muhammad Ziad Nationality Pakistani Postal Address Department of Mathematics and Statistics, College of Science, P.O. Box 36, Sultan Qaboos University, Alkhoud 123, Muscat, OMAN Telephone at Work 00968 24142250 Email Address [email protected] EDUCATION AND EMPLOYMENT INFORMATION PhD 1992 Department of Mathematics, Quaid-i-Azam University Islamabad, Pakistan MPhil (Applied Mathematics) 1986 Department of Mathematics Quaid-i-Azam University, Islamabad, Pakistan M Sc (Mathematics) 1975 Department of Mathematics, University of Islamabad, Pakistan EMPLOYMENT Statistical Investigator Economic Affairs Division, Government of Pakistan Oct. 1975-Dec. 1976 Lecturer in Mathematics Punjab Education Department Colleges, Pakistan Jan.1977- March1989 (Selected by Punjab Public Service Commission) Assistant Professor of Mathematics Government College Kahuta (Affiliated to University of the Punjab), March 1989-Aug 1989 Rawalpindi, Pakistan (Selected by Punjab Public Service Commission) CV M. Ziad (SQU) Research Associate Department of Mathematics Sept.1989-Dec.1990 Quaid-i-Azam University Islamabad (On study leave to fulfill the residency requirements for PhD) Assistant Professor of Mathematics Government Post Graduate College Dec.1990 to April 1993 (Affiliated to University of The Punjab) Asghar Mall, Rawalpindi, Pakistan Assistant Professor of Mathematics Department of Mathematics April
    [Show full text]