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Mechanical Aspire
Newsletter Volume 6, Issue 11, November 2016 Mechanical Aspire Achievements in Sports, Projects, Industry, Research and Education All About Nobel Prize- Part 35 The Breakthrough Prize Inspired by Nobel Prize, there have been many other prizes similar to that, both in amount and in purpose. One such prize is the Breakthrough Prize. The Breakthrough Prize is backed by Facebook chief executive Mark Zuckerberg and Google co-founder Sergey Brin, among others. The Breakthrough Prize was founded by Brin and Anne Wojcicki, who runs genetic testing firm 23andMe, Chinese businessman Jack Ma, and Russian entrepreneur Yuri Milner and his wife Julia. The Breakthrough Prizes honor important, primarily recent, achievements in the categories of Fundamental Physics, Life Sciences and Mathematics . The prizes were founded in 2012 by Sergey Brin and Anne Wojcicki, Mark Zuckerberg and Priscilla Chan, Yuri and Julia Milner, and Jack Ma and Cathy Zhang. Committees of previous laureates choose the winners from candidates nominated in a process that’s online and open to the public. Laureates receive $3 million each in prize money. They attend a televised award ceremony designed to celebrate their achievements and inspire the next generation of scientists. As part of the ceremony schedule, they also engage in a program of lectures and discussions. Those that go on to make fresh discoveries remain eligible for future Breakthrough Prizes. The Trophy The Breakthrough Prize trophy was created by Olafur Eliasson. “The whole idea for me started out with, ‘Where do these great ideas come from? What type of intuition started the trajectory that eventually becomes what we celebrate today?’” Like much of Eliasson's work, the sculpture explores the common ground between art and science. -
Nominations for President
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society September 2013 Volume 60, Number 8 The Calculus Concept Inventory— Measurement of the Effect of Teaching Methodology in Mathematics page 1018 DML-CZ: The Experience of a Medium- Sized Digital Mathematics Library page 1028 Fingerprint Databases for Theorems page 1034 A History of the Arf-Kervaire Invariant Problem page 1040 About the cover: 63 years since ENIAC broke the ice (see page 1113) Solve the differential equation. Solve the differential equation. t ln t dr + r = 7tet dt t ln t dr + r = 7tet dt 7et + C r = 7et + C ln t ✓r = ln t ✓ WHO HAS THE #1 HOMEWORK SYSTEM FOR CALCULUS? THE ANSWER IS IN THE QUESTIONS. When it comes to online calculus, you need a solution that can grade the toughest open-ended questions. And for that there is one answer: WebAssign. WebAssign’s patent pending grading engine can recognize multiple correct answers to the same complex question. Competitive systems, on the other hand, are forced to use multiple choice answers because, well they have no choice. And speaking of choice, only WebAssign supports every major textbook from every major publisher. With new interactive tutorials and videos offered to every student, it’s not hard to see why WebAssign is the perfect answer to your online homework needs. It’s all part of the WebAssign commitment to excellence in education. Learn all about it now at webassign.net/math. 800.955.8275 webassign.net/math WA Calculus Question ad Notices.indd 1 11/29/12 1:06 PM Notices 1051 of the American Mathematical Society September 2013 Communications 1048 WHAT IS…the p-adic Mandelbrot Set? Joseph H. -
Mathematics Calendar
Mathematics Calendar Please submit conference information for the Mathematics Calendar through the Mathematics Calendar submission form at http:// www.ams.org/cgi-bin/mathcal-submit.pl. The most comprehensive and up-to-date Mathematics Calendar information is available on the AMS website at http://www.ams.org/mathcal/. June 2014 Information: http://www.tesol.org/attend-and-learn/ online-courses-seminars/esl-for-the-secondary- 1–7 Modern Time-Frequency Analysis, Strobl, Austria. (Apr. 2013, mathematics-teacher. p. 429) * 2–30 Algorithmic Randomness, Institute for Mathematical Sciences, 2–5 WSCG 2014 - 22nd International Conference on Computer National University of Singapore, Singapore. Graphics, Visualization and Computer Vision 2014, Primavera Description: Activities 1. Informal Collaboration: June 2–8, 2014. 2. Hotel and Congress Centrum, Plzen (close to Prague), Czech Repub- Ninth International Conference on Computability, Complexity and lic. (Jan. 2014, p. 90) Randomness (CCR 2014): June 9–13, 2014. The conference series 2–6 AIM Workshop: Descriptive inner model theory, American “Computability, Complexity and Randomness” is centered on devel- Institute of Mathematics, Palo Alto, California. (Mar. 2014, p. 312) opments in Algorithmic Randomness, and the conference CCR 2014 2–6 Computational Nonlinear Algebra, Institute for Computational will be part of the IMS programme. The CCR has previously been held and Experimental Research in Mathematics, (ICERM), Brown Univer- in Cordoba 2004, in Buenos Aires 2007, in Nanjing 2008, in Luminy sity, Providence, Rhode Island. (Nov. 2013, p. 1398) 2009, in Notre Dame 2010, in Cape Town 2011, in Cambridge 2012, and in Moscow 2013; it will be held in Heidelberg 2015. 3. Informal 2–6 Conference on Ulam’s type stability, Rytro, Poland. -
Program Update: Year Three
PHYSICAL SCIENCES-ONCOLOGY CENTER PROGRAM Program Update: Year Three Fall 2012 Table of Contents 1. Executive Summary .................................................................................................................................................................1 2. Physical Sciences-Oncology Program Organization ...............................................................................................................5 2.1. Introduction ..................................................................................................................................................................7 2.2. Office of Physical Sciences-Oncology Mission ............................................................................................................7 2.3. Program History ...........................................................................................................................................................8 2.3.1 Overview of Spring 2008 Think Tank Meetings ................................................................................................8 2.3.2 Program Development and Funding History ...................................................................................................10 2.4. Strategic Approach and Objectives ...........................................................................................................................11 2.4.1 A Focus on Addressing “Big Questions” in Oncology ....................................................................................11 -
3-Manifold Groups
3-Manifold Groups Matthias Aschenbrenner Stefan Friedl Henry Wilton University of California, Los Angeles, California, USA E-mail address: [email protected] Fakultat¨ fur¨ Mathematik, Universitat¨ Regensburg, Germany E-mail address: [email protected] Department of Pure Mathematics and Mathematical Statistics, Cam- bridge University, United Kingdom E-mail address: [email protected] Abstract. We summarize properties of 3-manifold groups, with a particular focus on the consequences of the recent results of Ian Agol, Jeremy Kahn, Vladimir Markovic and Dani Wise. Contents Introduction 1 Chapter 1. Decomposition Theorems 7 1.1. Topological and smooth 3-manifolds 7 1.2. The Prime Decomposition Theorem 8 1.3. The Loop Theorem and the Sphere Theorem 9 1.4. Preliminary observations about 3-manifold groups 10 1.5. Seifert fibered manifolds 11 1.6. The JSJ-Decomposition Theorem 14 1.7. The Geometrization Theorem 16 1.8. Geometric 3-manifolds 20 1.9. The Geometric Decomposition Theorem 21 1.10. The Geometrization Theorem for fibered 3-manifolds 24 1.11. 3-manifolds with (virtually) solvable fundamental group 26 Chapter 2. The Classification of 3-Manifolds by their Fundamental Groups 29 2.1. Closed 3-manifolds and fundamental groups 29 2.2. Peripheral structures and 3-manifolds with boundary 31 2.3. Submanifolds and subgroups 32 2.4. Properties of 3-manifolds and their fundamental groups 32 2.5. Centralizers 35 Chapter 3. 3-manifold groups after Geometrization 41 3.1. Definitions and conventions 42 3.2. Justifications 45 3.3. Additional results and implications 59 Chapter 4. The Work of Agol, Kahn{Markovic, and Wise 63 4.1. -
Number Theory, Analysis and Geometry
Number Theory, Analysis and Geometry Dorian Goldfeld • Jay Jorgenson • Peter Jones Dinakar Ramakrishnan • Kenneth A. Ribet John Tate Editors Number Theory, Analysis and Geometry In Memory of Serge Lang 123 Editors Dorian Goldfeld Jay Jorgenson Department of Mathematics Department of Mathematics Columbia University City University of New York New York, NY 10027 New York, NY 10031 USA USA [email protected] [email protected] Peter Jones Dinakar Ramakrishnan Department of Mathematics Department of Mathematics Yale University California Institute of Technology New Haven, CT 06520 Pasadena, CA 91125 USA USA [email protected] [email protected] Kenneth A. Ribet John Tate Department of Mathematics Department of Mathematics University of California at Berkeley Harvard University Berkeley, CA 94720 Cambridge, MA 02138 USA USA [email protected] [email protected] ISBN 978-1-4614-1259-5 e-ISBN 978-1-4614-1260-1 DOI 10.1007/978-1-4614-1260-1 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2011941121 © Springer Science+Business Media, LLC 2012 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. -
Meetings & Conferences of The
Meetings & Conferences of the AMS IMPORTANT INFORMATION REGARDING MEETINGS PROGRAMS: AMS Sectional Meeting programs do not appear in the print version of the Notices. However, comprehensive and continually updated meeting and program information with links to the abstract for each talk can be found on the AMS website. See http://www.ams.org/meetings/. Final programs for Sectional Meetings will be archived on the AMS website accessible from the stated URL and in an electronic issue of the Notices as noted below for each meeting. abstract submission form found at http://www.ams.org/ Knoxville, Tennessee cgi-bin/abstracts/abstract.pl. University of Tennessee, Knoxville Algebraic Methods in Graph Theory and Combinator- ics (Code: SS 7A), Felix Lazebnik, University of Delaware, March 21–23, 2014 Andrew Woldar, Villanova University, and Bangteng Xu, Friday – Sunday Eastern Kentucky University. Arithmetic of Algebraic Curves (Code: SS 9A), Lubjana Meeting #1097 Beshaj, Oakland University, Caleb Shor, Western New Eng- Southeastern Section land University, and Andreas Malmendier, Colby College. Associate secretary: Brian D. Boe Commutative Ring Theory (in honor of the retirement Announcement issue of Notices: January 2014 of David E. Dobbs) (Code: SS 1A), David Anderson, Uni- Program first available on AMS website: February 6, 2014 versity of Tennessee, Knoxville, and Jay Shapiro, George Program issue of electronic Notices: March 2014 Mason University. Issue of Abstracts: Volume 35, Issue 2 Completely Integrable Systems and Dispersive Nonlinear Deadlines Equations (Code: SS 12A), Robert Buckingham, University of Cincinnati, and Peter Perry, University of Kentucky. For organizers: Expired Complex Analysis, Probability, and Metric Geometry For abstracts: January 28, 2014 (Code: SS 11A), Matthew Badger, Stony Brook University, Jim Gill, St. -
January 2013 Prizes and Awards
January 2013 Prizes and Awards 4:25 P.M., Thursday, January 10, 2013 PROGRAM SUMMARY OF AWARDS OPENING REMARKS FOR AMS Eric Friedlander, President LEVI L. CONANT PRIZE: JOHN BAEZ, JOHN HUERTA American Mathematical Society E. H. MOORE RESEARCH ARTICLE PRIZE: MICHAEL LARSEN, RICHARD PINK DEBORAH AND FRANKLIN TEPPER HAIMO AWARDS FOR DISTINGUISHED COLLEGE OR UNIVERSITY DAVID P. ROBBINS PRIZE: ALEXANDER RAZBOROV TEACHING OF MATHEMATICS RUTH LYTTLE SATTER PRIZE IN MATHEMATICS: MARYAM MIRZAKHANI Mathematical Association of America LEROY P. STEELE PRIZE FOR LIFETIME ACHIEVEMENT: YAKOV SINAI EULER BOOK PRIZE LEROY P. STEELE PRIZE FOR MATHEMATICAL EXPOSITION: JOHN GUCKENHEIMER, PHILIP HOLMES Mathematical Association of America LEROY P. STEELE PRIZE FOR SEMINAL CONTRIBUTION TO RESEARCH: SAHARON SHELAH LEVI L. CONANT PRIZE OSWALD VEBLEN PRIZE IN GEOMETRY: IAN AGOL, DANIEL WISE American Mathematical Society DAVID P. ROBBINS PRIZE FOR AMS-SIAM American Mathematical Society NORBERT WIENER PRIZE IN APPLIED MATHEMATICS: ANDREW J. MAJDA OSWALD VEBLEN PRIZE IN GEOMETRY FOR AMS-MAA-SIAM American Mathematical Society FRANK AND BRENNIE MORGAN PRIZE FOR OUTSTANDING RESEARCH IN MATHEMATICS BY ALICE T. SCHAFER PRIZE FOR EXCELLENCE IN MATHEMATICS BY AN UNDERGRADUATE WOMAN AN UNDERGRADUATE STUDENT: FAN WEI Association for Women in Mathematics FOR AWM LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION: AMY COHEN Association for Women in Mathematics M. GWENETH HUMPHREYS AWARD FOR MENTORSHIP OF UNDERGRADUATE -
Biographies of Candidates 2017 Y C C ! OO S UUN T
ELECTION SPECIAL SECTION FROM THE AMS SECRETARY R VO U T O E Biographies of Candidates 2017 Y C C ! OO S UUN T Biographical information about the candidates has been supplied and verified by the candidates. Candidates have had the opportunity to make a statement of not more than 200 words (400 for presidential can- didates) on any subject matter without restriction and to list up to five of their research papers. Candidates have had the opportunity to supply a photograph to accompany their biographical information. Acronyms: AAAS (American Association for the Advancement of Science); AMS (American Mathematical Society); ASA (American Statistical Association); AWM (Association for Women in Mathematics); CBMS (Conference Board of the Mathematical Sciences); IAS (Institute for Advanced Study), ICERM (The Institute for Computational and Experimen- tal Research in Mathematics; ICM (International Congress of Mathematicians); IMA (Institute for Mathematics and Its Applications); IMS (Institute of Mathematical Statistics); IMU (International Mathematical Union); IPAM (Institute for Pure and Applied Mathematics); LMS (London Mathematical Society); MAA (Mathematical Association of America); MSRI (Mathematical Sciences Research Institute); NAS (National Academy of Sciences); NRC (National Research Council); NSF (National Science Foundation); PIMS (Pacific Institute for the Mathematical Sciences); SIAM (Society for Industrial and Applied Mathematics); STEM (Science, Technology, Engineering and Mathematics). President ety, Inaugural Class, 2012; Member, Society for Industrial Jill C. Pipher and Applied Mathematics Committee on Science Policy, Elisha Benjamin Andrews Pro- 2014–2018; American Academy of Arts and Sciences, fessor of Mathematics, Brown Elected 2015; Member, Mathematical Association of University. America, Committee on Prizes and Awards, 2015–2017; PhD: University of California, Los Subcommittee Chair, NSF-Division of Mathematical Sci- Angeles, 1985. -
Implicit Particle Filters for Data Assimilation Alexandre Chorin, Matthias Morzfeldand Xuemin Tu
Communications in Applied Mathematics and Computational Science IMPLICIT PARTICLE FILTERS FOR DATA ASSIMILATION ALEXANDRE CHORIN, MATTHIAS MORZFELD AND XUEMIN TU vol. 5 no. 2 2010 mathematical sciences publishers COMM. APP. MATH. AND COMP. SCI. Vol. 5, No. 2, 2010 IMPLICIT PARTICLE FILTERS FOR DATA ASSIMILATION ALEXANDRE CHORIN, MATTHIAS MORZFELD AND XUEMIN TU Implicit particle filters for data assimilation update the particles by first choosing probabilities and then looking for particle locations that assume them, guiding the particles one by one to the high probability domain. We provide a detailed description of these filters, with illustrative examples, together with new, more general, methods for solving the algebraic equations and with a new algorithm for parameter identification. 1. Introduction There are many problems in science, for example in meteorology and economics, in which the state of a system must be identified from an uncertain equation supplemented by noisy data (see, for instance,[9; 22]). A natural model of this situation consists of an Ito stochastic differential equation (SDE): dx D f .x; t/ dt C g.x; t/ dw; (1) where x D .x1; x2;:::; xm/ is an m-dimensional vector, f is an m-dimensional vector function, g.x; t/ is an m by m matrix, and w is Brownian motion which encapsulates all the uncertainty in the model. In the present paper we assume for simplicity that the matrix g.x; t/ is diagonal. The initial state x.0/ is given and may be random as well. The SDE is supplemented by measurements bn at times tn, n D 0; 1;::: . -
Convergence in the Max Norm Elbridge Gerry Puckett
Communications in Applied Mathematics and Computational Science ON THE SECOND-ORDER ACCURACY OF VOLUME-OF-FLUID INTERFACE RECONSTRUCTION ALGORITHMS: CONVERGENCE IN THE MAX NORM ELBRIDGE GERRY PUCKETT vol. 5 no. 1 2010 mathematical sciences publishers COMM. APP. MATH. AND COMP. SCI. Vol. 5, No. 1, 2010 ON THE SECOND-ORDER ACCURACY OF VOLUME-OF-FLUID INTERFACE RECONSTRUCTION ALGORITHMS: CONVERGENCE IN THE MAX NORM ELBRIDGE GERRY PUCKETT Given a two times differentiable curve in the plane, I prove that — using only the volume fractions associated with the curve — one can construct a piecewise linear approximation that is second-order in the max norm. I derive two parame- ters that depend only on the grid size and the curvature of the curve, respectively. When the maximum curvature in the 3 by 3 block of cells centered on a cell through which the curve passes is less than the first parameter, the approxima- tion in that cell will be second-order. Conversely, if the grid size in this block is greater than the second parameter, the approximation in the center cell can be less than second-order. Thus, this parameter provides an a priori test for when the interface is under-resolved, so that when the interface reconstruction method is coupled to an adaptive mesh refinement algorithm, this parameter may be used to determine when to locally increase the resolution of the grid. 1. Introduction In this article I study the interface reconstruction problem for a volume-of-fluid method in two space dimensions. Let 2 R2 denote a simply connected domain and let z.s/ D .x.s/; y.s//, where s is arc length, denote a curve in . -
MAA FOCUS October 2008
MAA FOCUS October 2008 MAA FOCUS is published by the Mathematical Association of America in January, February, March, April, May/June, MAA FOCUS August/September, October, November, and December. Volume 28 Issue 7 Editor: Fernando Gouvêa, Colby College; [email protected] Managing Editor: Carol Baxter, MAA Inside [email protected] 4 ‘I can wear a math hat and a computer science hat’ Senior Writer: Harry Waldman, MAA An Interview with Margaret Wright [email protected] By Ivars Peterson Please address advertising inquiries to: [email protected] 6 Financial Information for Members is Now on the MAA Web Site By John W. Kenelly President: Joseph Gallian First Vice President: Elizabeth Mayfield, 7 It’s All About MAQ Second Vice President: Daniel J. Teague, By Kay Weiss Secretary: Martha J. Siegel, Associate Secretary: James J. Tattersall, Treasurer: 9 Letters to the Editor John W. Kenelly Executive Director: Tina H. Straley 10 Consternation and Exhilaration Director of Publications for Journals and Early Experiences in Conducting Undergraduate Research Communications: Ivars Peterson By Robin Blankenship Donald MAA FOCUS Editorial Board: 12 MathFest 2008 in Pictures J. Albers; Robert Bradley; Joseph Gallian; Jacqueline Giles; Colm Mulcahy; Michael Orrison; Peter Renz; Sharon Cutler Ross; An- 14 Report of the Secretary nie Selden; Hortensia Soto-Johnson; Peter By Martha J. Siegel Stanek; Ravi Vakil. 16 Renowned Mathematician Oded Schramm Dies in Fall Letters to the editor should be addressed to Fernando Gouvêa, Colby College, Dept. of Mathematics, Waterville, ME 04901, or by 17 In Memoriam email to [email protected]. Subscription and membership questions . should be directed to the MAA Customer 18 Joint Mathematics Meetings Service Center, 800-331-1622; email: [email protected]; (301) 617-7800 (outside U.S.