Partial Differential Equations
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White House Clasact Thy M
alumni CLAS COLLEGE OF LIBERAL ARTS & SCIENCES,notes UNIVERSITY OF FLORIDA SPRING 2008 journey to the white house CLASact Thy M. Nguyen is arguably one of the University of Florida’s Thy M. Nguyen most successful young alumni. Graduating a mere seven About CLAS years ago, she has earned an M.A. in strategic studies and B.A., Political Science, 2001 The College of Liberal Arts international economics from Johns Hopkins University, and Sciences at the University and landed a job as a Foreign Affairs Officer in the Bureau of Florida is the largest college for International Security and Nonproliferation. In between assignments in Austria, Vietnam, China, on campus, with more than 700 and Japan, she debriefed Alumni CLASnotes on faculty members responsible her life at the U.S. State Department. for teaching the majority of the university’s core curriculum to at ACn: What does an average day look like for you? least 35,000 students each year. TN: A typical day starts off with checking diplo- matic reporting that has come in overnight from CLAS has more than 12,000 around the world concerning the key countries undergraduate students pursuing and issues I cover. Then I check to see whether a variety of disciplines through I have been assigned to draft any briefing its 42 majors and 42 minors. Ad- materials for my bureau leadership or depart- ment principals to prepare them for meetings, ditionally, nearly 2,000 graduate hearings, and high-level visits. Generally this students are attaining advanced includes briefing papers, press guidance, pre- degrees in the college. -
Current Affairs Quiz – August, September & October for IBPS Exams
Current Affairs Quiz – August, September & October for IBPS Exams August - Current Affairs Quiz: Q.1) The Rajya Sabha passed the Constitution Q.8) Who came up with a spirited effort to beat _____ Bill, 2017 with amendments for setting up Florian Kaczur of Hungary and finish second in of a National Commission for Backward Classes, the Czech International Open Chess tournament was passed after dropping Clause 3. at Pardubidze in Czech Republic? a) 121st b) 122nd c) 123rd a) Humpy Koneru b) Abhijeet Gupta d) 124th e) 125th c) Vishwanathan Anand d) Harika Dronavalli Q.2) From which month of next year onwards e) Tania Sachdev government has ordered state-run oil companies Q.9) Which country will host 2024 summer to raise subsidised cooking gas, LPG, prices by Olympics? four rupees per cylinder every month to eliminate a) Japan b) Australia c) India all the subsidies? d) France e) USA a) January b) February c) March Q.10) Who beats Ryan Harrison to claim fourth d) April e) May ATP Atlanta Open title, he has reached the final in Q.3) Who will inaugurate the two-day Conclave of seven of eight editions of the tournament, added Tax Officers ―Rajaswa Gyansangam‖ scheduled to a fourth title to those he won in 2013, 2014 and be held on 1st and 2nd September, 2017 in New 2015? Delhi? a) Roger Federer b) Nick Kyrgios a) Arun Jaitley b) Narendra Modi c) Andy Murray d) John Isner c) Rajnath Singh d) Nitin Gadkari e) Kevin Anderson e) Narendra Singh Tomar Q.11) Who was the youngest of the famous seven Q.4) The Executive Committee of National Mission ‗Dagar Bandhus‘ and had dedicated his life to for Clean Ganga (4th meeting) approved seven keeping the Dhrupad tradition alive, died projects worth Rs _____ crore in the sector of recently. -
Lancaster County, PA Archives
Fictitious Names in Business Index 1917-1983 Derived from original indexes within the Lancaster County Archives collection 1001 Hobbies & Crafts, Inc. Corp 1 656 1059 Columbia Avenue Associates 15 420 120 Antiquities 8 47 121 Studio Gallery 16 261 1226 Gallery Gifts 16 278 1722 Motor Lodge Corp 1 648 1810 Associates 15 444 20th Century Card Co 4 138 20thLancaster Century Housing County,6 PA332 Archives 20th Century Television Service 9 180 222 Service Center 14 130 25th Hour 14 43 28th Division Highway Motor Court 9 225 3rd Regular Infantry Corp 1 568 4 R's Associates 16 227 4 Star Linen Supply 12 321 501 Diner 11 611 57 South George Street Associates 16 302 611 Shop & Gallery 16 192 7 Cousins Park City Corp 1 335 78-80 West Main, Inc. Corp 1 605 840 Realty 16 414 A & A Aluminum 15 211 A & A Credit Exchange 4 449 A & B Associates 13 342 A & B Automotive Warehouse Company Corp 1 486 A & B Electronic Products Leasing 15 169 A & B Manufacturing Company 12 162 A & E Advertising 15 54 A & H Collectors Center 12 557 A & H Disposal 15 56 A & H Drywall Finishers 12 588 A & L Marketing 15 426 A & L Trucking 16 358 A & M Enterprises 15 148 A & M New Car Brokers 15 128 A & M Rentals 12 104 A & P Roofing Company 14 211 A & R Flooring Service 15 216 A & R Nissley, Inc. Corp 1 512 A & R Nissley, Inc. Corp 1 720 A & R Nissley, Inc. Corp 2 95 A & R Tour Services Co. -
Defining Physics at Imaginary Time: Reflection Positivity for Certain
Defining physics at imaginary time: reflection positivity for certain Riemannian manifolds A thesis presented by Christian Coolidge Anderson [email protected] (978) 204-7656 to the Department of Mathematics in partial fulfillment of the requirements for an honors degree. Advised by Professor Arthur Jaffe. Harvard University Cambridge, Massachusetts March 2013 Contents 1 Introduction 1 2 Axiomatic quantum field theory 2 3 Definition of reflection positivity 4 4 Reflection positivity on a Riemannian manifold M 7 4.1 Function space E over M ..................... 7 4.2 Reflection on M .......................... 10 4.3 Reflection positive inner product on E+ ⊂ E . 11 5 The Osterwalder-Schrader construction 12 5.1 Quantization of operators . 13 5.2 Examples of quantizable operators . 14 5.3 Quantization domains . 16 5.4 The Hamiltonian . 17 6 Reflection positivity on the level of group representations 17 6.1 Weakened quantization condition . 18 6.2 Symmetric local semigroups . 19 6.3 A unitary representation for Glor . 20 7 Construction of reflection positive measures 22 7.1 Nuclear spaces . 23 7.2 Construction of nuclear space over M . 24 7.3 Gaussian measures . 27 7.4 Construction of Gaussian measure . 28 7.5 OS axioms for the Gaussian measure . 30 8 Reflection positivity for the Laplacian covariance 31 9 Reflection positivity for the Dirac covariance 34 9.1 Introduction to the Dirac operator . 35 9.2 Proof of reflection positivity . 38 10 Conclusion 40 11 Appendix A: Cited theorems 40 12 Acknowledgments 41 1 Introduction Two concepts dominate contemporary physics: relativity and quantum me- chanics. They unite to describe the physics of interacting particles, which live in relativistic spacetime while exhibiting quantum behavior. -
(Public Section) Padma Awards Directory (1954-2009) Year-Wise List Sl
MINISTRY OF HOME AFFAIRS (Public Section) Padma Awards Directory (1954-2009) Year-Wise List Sl. Prefix First Name Last Name Award State Field Remarks 1954 1 Dr. Sarvapalli Radhakrishnan BR TN Public Affairs Expired 2 Shri Chakravarti Rajagopalachari BR TN Public Affairs Expired 3 Dr. Chandrasekhara Raman BR TN Science & Eng. Expired Venkata 4 Shri Nand Lal Bose PV WB Art Expired 5 Dr. Satyendra Nath Bose PV WB Litt. & Edu. 6 Dr. Zakir Hussain PV AP Public Affairs Expired 7 Shri B.G. Kher PV MAH Public Affairs Expired 8 Shri V.K. Krishna Menon PV KER Public Affairs Expired 9 Shri Jigme Dorji Wangchuk PV BHU Public Affairs 10 Dr. Homi Jehangir Bhabha PB MAH Science & Eng. Expired 11 Dr. Shanti Swarup Bhatnagar PB UP Science & Eng. Expired 12 Shri Mahadeva Iyer Ganapati PB OR Civil Service 13 Dr. J.C. Ghosh PB WB Science & Eng. Expired 14 Shri Maithilisharan Gupta PB UP Litt. & Edu. Expired 15 Shri Radha Krishan Gupta PB DEL Civil Service Expired 16 Shri R.R. Handa PB PUN Civil Service Expired 17 Shri Amar Nath Jha PB UP Litt. & Edu. Expired 18 Shri Malihabadi Josh PB DEL Litt. & Edu. 19 Dr. Ajudhia Nath Khosla PB DEL Science & Eng. Expired 20 Shri K.S. Krishnan PB TN Science & Eng. Expired 21 Shri Moulana Hussain Madni PB PUN Litt. & Edu. Ahmed 22 Shri V.L. Mehta PB GUJ Public Affairs Expired 23 Shri Vallathol Narayana Menon PB KER Litt. & Edu. Expired Wednesday, July 22, 2009 Page 1 of 133 Sl. Prefix First Name Last Name Award State Field Remarks 24 Dr. -
Convex Programming-Based Phase Retrieval: Theory and Applications
Convex programming-based phase retrieval: Theory and applications Thesis by Kishore Jaganathan In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy CALIFORNIA INSTITUTE OF TECHNOLOGY Pasadena, California 2016 Defended May 16, 2016 ii © 2016 Kishore Jaganathan All Rights Reserved iii To my family and friends. iv En vazhi thani vazhi (my way is a unique way). - Rajnikanth v ACKNOWLEDGEMENTS Firstly, I would like to express my sincere gratitude to my advisor Prof. Babak Hassibi. I could not have imagined having a better advisor and mentor for my Ph.D. studies. His immense knowledge, guidance, kindness and support over the years have played a crucial role in making this work possible. My understanding of many topics, including convex optimization, signal processing and entropy vectors, have significantly increased because of him. His exceptional problem solving abilities, teaching qualities and deep understanding of a wide variety of subjects have inspired me a lot. Furthermore, the intellectual freedom he offered throughout the course of my graduate studies helped me pursue my passion and grow as a research scientist. Besides my advisor, I am also extremely indebted to Prof. Yonina C. Eldar. I have been privileged to have had the opportunity to collaborate with her. Her vision and ideas have played a very important role in shaping this work. Her vast knowledge, attention to detail, work ethic and energy have influenced me significantly. Additionally, I would like to thank her for providing me the opportunity to contribute to a book chapter on phase retrieval. I would also like to thank Prof. -
Mathematisches Forschungsinstitut Oberwolfach Reflection Positivity
Mathematisches Forschungsinstitut Oberwolfach Report No. 55/2017 DOI: 10.4171/OWR/2017/55 Reflection Positivity Organised by Arthur Jaffe, Harvard Karl-Hermann Neeb, Erlangen Gestur Olafsson, Baton Rouge Benjamin Schlein, Z¨urich 26 November – 2 December 2017 Abstract. The main theme of the workshop was reflection positivity and its occurences in various areas of mathematics and physics, such as Representa- tion Theory, Quantum Field Theory, Noncommutative Geometry, Dynamical Systems, Analysis and Statistical Mechanics. Accordingly, the program was intrinsically interdisciplinary and included talks covering different aspects of reflection positivity. Mathematics Subject Classification (2010): 17B10, 22E65, 22E70, 81T08. Introduction by the Organisers The workshop on Reflection Positivity was organized by Arthur Jaffe (Cambridge, MA), Karl-Hermann Neeb (Erlangen), Gestur Olafsson´ (Baton Rouge) and Ben- jamin Schlein (Z¨urich) during the week November 27 to December 1, 2017. The meeting was attended by 53 participants from all over the world. It was organized around 24 lectures each of 50 minutes duration representing major recent advances or introducing to a specific aspect or application of reflection positivity. The meeting was exciting and highly successful. The quality of the lectures was outstanding. The exceptional atmosphere of the Oberwolfach Institute provided the optimal environment for bringing people from different areas together and to create an atmosphere of scientific interaction and cross-fertilization. In particular, people from different subcommunities exchanged ideas and this lead to new col- laborations that will probably stimulate progress in unexpected directions. 3264 Oberwolfach Report 55/2017 Reflection positivity (RP) emerged in the early 1970s in the work of Osterwalder and Schrader as one of their axioms for constructive quantum field theory ensuring the equivalence of their euclidean setup with Wightman fields. -
6. L CPT Reversal
6. CPT reversal l Précis. On the representation view, there may be weak and strong arrows of time. A weak arrow exists. A strong arrow might too, but not in current physics due to CPT symmetry. There are many ways to reverse time besides the time reversal operator T. Writing P for spatial reflection or ‘parity’, and C for matter-antimatter exchange or ‘charge conjugation’, we find that PT, CT, and CPT are all time reversing transformations, when they exist. More generally, for any non-time-reversing (unitary) transformation U, we find that UT is time reversing. Are any of these transformations relevant for the arrow of time? Feynman (1949) captured many of our imaginations with the proposal that to understand the direction of time, we must actually consider the exchange of matter and antimatter as well.1 Writing about it years later, he said: “A backwards-moving electron when viewed with time moving forwards appears the same as an ordinary electron, except it’s attracted to normal electrons — we say it has positive charge. For this reason it’s called a ‘positron’. The positron is a sister to the electron, and it is an example of an ‘anti-particle’. This phenomenon is quite general. Every particle in Nature has an amplitude to move backwards in time, and therefore has an anti-particle.”(Feynman 1985, p.98) Philosophers Arntzenius and Greaves (2009, p.584) have defended Feynman’s proposal, 1In his Nobel prize speech, Feynman (1972, pg.163) attributes this idea to Wheeler in the development of their absorber theory (Wheeler and Feynman 1945). -
Part I: Signatures Attesting to Integrity (Applicable to All Institutions)
University of Florida Fifth-Year Interim Report Southern Association of Colleges and Schools Commission on Colleges March 2010 University of Florida Fifth-Year Interim Report Southern Association of Colleges and Schools Commission on Colleges March 2010 The Commission on Colleges Southern Association of Colleges and Schools THE FIFTH-YEAR INTERIM REPORT (Revised February 2009—Formerly incorrectly stated as 2008) Name of Institution: University of Florida Address of the Institution: Office of the Provost PO Box 113175, 235 Tigert Hall Gainesville, FL 32611-1375 Name, title, contact numbers of person(s) preparing the report: Dr. Joseph Glover, Provost and Senior Vice President for Academic Affairs Phone: (352) 392-2404 The Fifth-Year Interim Report is divided into five parts: Part I: Signatures Attesting to Integrity (applicable to all institutions). Requests that the chief executive officer and accreditation liaison attest to the accuracy of institutional assessment and documentation supporting that assessment. Part II: Abbreviated Institutional Summary Form Prepared for Commission Reviews (applicable to all institutions). Requests that the institution complete the abbreviated “Institutional Summary Form Prepared for Commission Reviews.” Part III: Abbreviated Compliance Certification (applicable to all institutions). Monitors continued compliance with identified Core Requirements and Comprehensive Standards at the decennial interval. Part IV: Additional Report (applicable to select institutions). Addresses issues identified in an action letter following a recent review of the institution. If applicable, issues are identified in an attached letter. Part V: Impact Report of the Quality Enhancement Plan (applicable to all institutions reaffirmed since 2004 using the Principles of Accreditation). An institution may also be requested to host an off-site committee charged to review new, but unvisited, off-campus sites initiated since the institution’s previous reaffirmation. -
IFL Annual Return 2018-19
FORM NO. MGT-7 Annual Return [Pursuant to sub-Section(1) of section 92 of the Companies Act, 2013 and sub-rule (1) of rule 11of the Companies (Management and Administration) Rules, 2014] Form language English Hindi Refer the instruction kit for filing the form. I. REGISTRATION AND OTHER DETAILS (i) * Corporate Identification Number (CIN) of the company Pre-fill Global Location Number (GLN) of the company * Permanent Account Number (PAN) of the company (ii) (a) Name of the company (b) Registered office address (c) *e-mail ID of the company (d) *Telephone number with STD code (e) Website (iii) Date of Incorporation (iv) Type of the Company Category of the Company Sub-category of the Company (v) Whether company is having share capital Yes No (vi) *Whether shares listed on recognized Stock Exchange(s) Yes No (b) CIN of the Registrar and Transfer Agent Pre-fill Name of the Registrar and Transfer Agent Page 1 of 15 Registered office address of the Registrar and Transfer Agents (vii) *Financial year From date 01/04/2018 (DD/MM/YYYY) To date 31/03/2019 (DD/MM/YYYY) (viii) *Whether Annual general meeting (AGM) held Yes No (a) If yes, date of AGM 24/09/2019 (b) Due date of AGM 30/09/2019 (c) Whether any extension for AGM granted Yes No II. PRINCIPAL BUSINESS ACTIVITIES OF THE COMPANY *Number of business activities 1 S.No Main Description of Main Activity group Business Description of Business Activity % of turnover Activity Activity of the group code Code company I I2 III. PARTICULARS OF HOLDING, SUBSIDIARY AND ASSOCIATE COMPANIES (INCLUDING JOINT VENTURES) *No. -
Arthur Strong Wightman (1922–2013)
Obituary Arthur Strong Wightman (1922–2013) Arthur Wightman, a founding father of modern mathematical physics, passed away on January 13, 2013 at the age of 90. His own scientific work had an enormous impact in clar- ifying the compatibility of relativity with quantum theory in the framework of quantum field theory. But his stature and influence was linked with an enormous cadre of students, scientific collaborators, and friends whose careers shaped fields both in mathematics and theoretical physics. Princeton has a long tradition in mathematical physics, with university faculty from Sir James Jeans through H.P. Robertson, Hermann Weyl, John von Neumann, Eugene Wigner, and Valentine Bargmann, as well as a long history of close collaborations with colleagues at the Institute for Advanced Study. Princeton became a mecca for quantum field theorists as well as other mathematical physicists during the Wightman era. Ever since the advent of “axiomatic quantum field theory”, many researchers flocked to cross the threshold of his open office door—both in Palmer and later in Jadwin—for Arthur was renowned for his generosity in sharing ideas and research directions. In fact, some students wondered whether Arthur might be too generous with his time helping others, to the extent that it took time away from his own research. Arthur had voracious intellectual appetites and breadth of interests. Through his interactions with others and his guidance of students and postdocs, he had profound impact not only on axiomatic and constructive quantum field theory but on the de- velopment of the mathematical approaches to statistical mechanics, classical mechanics, dynamical systems, transport theory, non-relativistic quantum mechanics, scattering the- ory, perturbation of eigenvalues, perturbative renormalization theory, algebraic quantum field theory, representations of C⇤-algebras, classification of von Neumann algebras, and higher spin equations. -
1995 Steele Prizes
steele.qxp 4/27/98 3:29 PM Page 1288 1995 Steele Prizes Three Leroy P. Steele Prizes were presented at The text that follows contains, for each award, the awards banquet during the Summer Math- the committee’s citation, the recipient’s response fest in Burlington, Vermont, in early August. upon receiving the award, and a brief bio- These prizes were established in 1970 in honor graphical sketch of the recipient. of George David Birkhoff, William Fogg Osgood, and William Caspar Graustein Edward Nelson: 1995 Steele Prize for and are endowed under the Seminal Contribution to Research terms of a bequest from The 1995 Leroy P. Steele award for research of Leroy P. Steele. seminal importance goes to Professor Edward The Steele Prizes are Nelson of Princeton University for the following ...for a research awarded in three categories: two papers in mathematical physics character- for a research paper of fun- ized by leaders of the field as extremely innov- paper of damental and lasting impor- ative: tance, for expository writing, 1. “A quartic interaction in two dimensions” in fundamental and for cumulative influence Mathematical Theory of Elementary Particles, and lasting extending over a career, in- MIT Press, 1966, pages 69–73; cluding the education of doc- 2. “Construction of quantum fields from Markoff importance, toral students. The current fields” in Journal of Functional Analysis 12 award is $4,000 in each cate- (1973), 97–112. for expository gory. In these papers he showed for the first time The recipients of the 1995 how to use the powerful tools of probability writing, and for Steele Prizes are Edward Nel- theory to attack the hard analytic questions of son for seminal contribution constructive quantum field theory, controlling cumulative to research, Jean-Pierre Serre renormalizations with Lp estimates in the first influence for mathematical exposition, paper and, in the second, turning Euclidean and John T.