George Pólya Lecturer Series
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The 'Crisis of Noosphere'
The ‘crisis of noosphere’ as a limiting factor to achieve the point of technological singularity Rafael Lahoz-Beltra Department of Applied Mathematics (Biomathematics). Faculty of Biological Sciences. Complutense University of Madrid. 28040 Madrid, Spain. [email protected] 1. Introduction One of the most significant developments in the history of human being is the invention of a way of keeping records of human knowledge, thoughts and ideas. The storage of knowledge is a sign of civilization, which has its origins in ancient visual languages e.g. in the cuneiform scripts and hieroglyphs until the achievement of phonetic languages with the invention of Gutenberg press. In 1926, the work of several thinkers such as Edouard Le Roy, Vladimir Ver- nadsky and Teilhard de Chardin led to the concept of noosphere, thus the idea that human cognition and knowledge transforms the biosphere coming to be something like the planet’s thinking layer. At present, is commonly accepted by some thinkers that the Internet is the medium that brings life to noosphere. Hereinafter, this essay will assume that the words Internet and noosphere refer to the same concept, analogy which will be justified later. 2 In 2005 Ray Kurzweil published the book The Singularity Is Near: When Humans Transcend Biology predicting an exponential increase of computers and also an exponential progress in different disciplines such as genetics, nanotechnology, robotics and artificial intelligence. The exponential evolution of these technologies is what is called Kurzweil’s “Law of Accelerating Returns”. The result of this rapid progress will lead to human beings what is known as tech- nological singularity. -
Elementary Functions: Towards Automatically Generated, Efficient
Elementary functions : towards automatically generated, efficient, and vectorizable implementations Hugues De Lassus Saint-Genies To cite this version: Hugues De Lassus Saint-Genies. Elementary functions : towards automatically generated, efficient, and vectorizable implementations. Other [cs.OH]. Université de Perpignan, 2018. English. NNT : 2018PERP0010. tel-01841424 HAL Id: tel-01841424 https://tel.archives-ouvertes.fr/tel-01841424 Submitted on 17 Jul 2018 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Délivré par l’Université de Perpignan Via Domitia Préparée au sein de l’école doctorale 305 – Énergie et Environnement Et de l’unité de recherche DALI – LIRMM – CNRS UMR 5506 Spécialité: Informatique Présentée par Hugues de Lassus Saint-Geniès [email protected] Elementary functions: towards automatically generated, efficient, and vectorizable implementations Version soumise aux rapporteurs. Jury composé de : M. Florent de Dinechin Pr. INSA Lyon Rapporteur Mme Fabienne Jézéquel MC, HDR UParis 2 Rapporteur M. Marc Daumas Pr. UPVD Examinateur M. Lionel Lacassagne Pr. UParis 6 Examinateur M. Daniel Menard Pr. INSA Rennes Examinateur M. Éric Petit Ph.D. Intel Examinateur M. David Defour MC, HDR UPVD Directeur M. Guillaume Revy MC UPVD Codirecteur À la mémoire de ma grand-mère Françoise Lapergue et de Jos Perrot, marin-pêcheur bigouden. -
Of the American Mathematical Society August 2017 Volume 64, Number 7
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society August 2017 Volume 64, Number 7 The Mathematics of Gravitational Waves: A Two-Part Feature page 684 The Travel Ban: Affected Mathematicians Tell Their Stories page 678 The Global Math Project: Uplifting Mathematics for All page 712 2015–2016 Doctoral Degrees Conferred page 727 Gravitational waves are produced by black holes spiraling inward (see page 674). American Mathematical Society LEARNING ® MEDIA MATHSCINET ONLINE RESOURCES MATHEMATICS WASHINGTON, DC CONFERENCES MATHEMATICAL INCLUSION REVIEWS STUDENTS MENTORING PROFESSION GRAD PUBLISHING STUDENTS OUTREACH TOOLS EMPLOYMENT MATH VISUALIZATIONS EXCLUSION TEACHING CAREERS MATH STEM ART REVIEWS MEETINGS FUNDING WORKSHOPS BOOKS EDUCATION MATH ADVOCACY NETWORKING DIVERSITY blogs.ams.org Notices of the American Mathematical Society August 2017 FEATURED 684684 718 26 678 Gravitational Waves The Graduate Student The Travel Ban: Affected Introduction Section Mathematicians Tell Their by Christina Sormani Karen E. Smith Interview Stories How the Green Light was Given for by Laure Flapan Gravitational Wave Research by Alexander Diaz-Lopez, Allyn by C. Denson Hill and Paweł Nurowski WHAT IS...a CR Submanifold? Jackson, and Stephen Kennedy by Phillip S. Harrington and Andrew Gravitational Waves and Their Raich Mathematics by Lydia Bieri, David Garfinkle, and Nicolás Yunes This season of the Perseid meteor shower August 12 and the third sighting in June make our cover feature on the discovery of gravitational waves -
The Life and Works of Sadid Al-Din Kazeroni: an Iranian Physician and Anatomist
ORerimgiinnaisl cAernticcele Middle East Journal of Cancer; JOuclyto 2b0e1r 52 061(38);: 9(4): 323-327 The Life and Works of Sadid al-Din Kazeroni: An Iranian Physician and Anatomist Seyyed Alireza Golshani* ♦, Seyyed Ehsan Golshan**, Mohammad Ebrahim Zohalinezhad*** *Department of History, Ferdowsi University of Mashhad, Mashhad, Iran **Department of Foreign Languages, Marvdasht Azad University, Marvdasht, Iran ***Assistant Professor, Persian Medicine, Shiraz University of Medical Sciences, Shiraz, Iran; Eessence of Parsiyan Wisdom Institute, Traditional Medicine and Medicinal Plant Incubator, Shiraz University of Medical Sciences, Shiraz, Iran Abstract Background: One of the great physicians in Iran who had expertise in medicine, surgery, and pharmacy was Sadid al-Din Kazeroni. He was a 14 th century physician. No information is available on his birth and death – only “Al-Mughni”, a book, has been left to make him famous in surgical and medical knowledge. Methods: We used desk and historical research methods in this research, with a historical approach. This commonly used research method in human sciences was used to criticize and study the birthplace and works of Sadid al-Din Kazeroni. Results and Conclusion: Sadid al-Din Kazeroni discussed the exact issues in the field of anatomy, surgery, and gynecology. He was fluent in pharmacology. In his pharmacology book, for the first time, he named drugs considered necessary before and after surgery. In this study, we reviewed the biography and introduction of the works and reviewed “Al-Mughni”, a book on breast cancer. Keywords: Sadid al-Din Kazeroni, Breast cancer, Anatomical illustration, Al-Mughni, Persian medicine ♦Corresponding Author: Seyyed Alireza Golshani, PhD Student Introduction the Nobel Prize in Math. -
Mathematics People, Volume 52, Number 6
Mathematics People Fourier-Mukai transform. He is also working on under- 2005–2006 AMS Centennial standing the structure of cones of divisors on smooth Fellowships Awarded projective varieties by analyzing asymptotic invariants as- sociated to base loci of linear series. He plans to use his The AMS has awarded two Centennial Fellowships for Centennial Fellowship at the University of Michigan and 2005–2006. The recipients are YUAN-PIN LEE of the Univer- the University of Rome, as well as at the University of sity of Utah and MIHNEA POPA of Harvard University. The Chicago. amount of each fellowship is $62,000. The Centennial Please note: Information about the competition for the 2006–2007 AMS Centennial Fellowships will be published in the “Mathematics Opportunities” section of an upcom- ing issue of the Notices. —Allyn Jackson Cerf and Kahn Receive Turing Award The Association for Computing Machinery (ACM) has named VINTON G. CERF and ROBERT E. KAHN the winners of the 2004 A. M. Turing Award, considered the “Nobel Prize of Computing”, for pioneering work on the design and Yuan-Pin Lee Mihnea Popa implementation of the Internet’s basic communications protocols. Cerf is the senior vice president for technology Fellows also receive an expense allowance of $3,000 and strategy at MCI. Kahn is chairman, chief executive officer, a complimentary Society membership for one year. and president of the Corporation for National Research Initiatives (CNRI), a not-for-profit organization for research Yuan-Pin Lee in the public interest on strategic development of Yuan-Pin Lee received his Ph.D. in 1999 from the University network-based information technologies. -
![Arxiv:2009.11923V1 [Math.GT] 24 Sep 2020 Manifolds One Is Interested in Studying](https://docslib.b-cdn.net/cover/5426/arxiv-2009-11923v1-math-gt-24-sep-2020-manifolds-one-is-interested-in-studying-585426.webp)
Arxiv:2009.11923V1 [Math.GT] 24 Sep 2020 Manifolds One Is Interested in Studying
A MODEL FOR RANDOM THREE{MANIFOLDS BRAM PETRI AND JEAN RAIMBAULT Abstract. We study compact three-manifolds with boundary obtained by randomly gluing together truncated tetrahedra along their faces. We prove that, asymptotically almost surely as the number of tetrahedra tends to infinity, these manifolds are connected and have a single boundary component. We prove a law of large numbers for the genus of this boundary component, we show that the Heegaard genus of these manifolds is linear in the number of tetrahedra and we bound their first Betti number. We also show that, asymptotically almost surely as the number of tetrahedra tends to infinity, our manifolds admit a unique hyperbolic metric with totally geodesic boundary. We prove a law of large numbers for the volume of this metric, prove that the associated Laplacian has a uniform spectral gap and show that the diameter of our manifolds is logarithmic as a function of their volume. Finally, we determine the Benjamini{Schramm limit of our sequence of random manifolds. 1. Introduction 1.1. Context. Random constructions of compact manifolds can be seen as an analogue of the well-established theory of random graphs and serve similar purposes. First of all, they make the notion of a \typical" manifold rigorous. Secondly, they can be used as a testing ground for conjectures of which the proof is still out of reach. Finally, there is what is often called the probabilistic method { using probability theory to prove the existence of objects with extremal properties. In this paper we are mostly interested in the first aspect. -
AMS Council Minutes
American Mathematical Society Council Minutes Chicago, Illinois 24 April 2010 at noon Prepared 13 May 2010 Abstract The Council of the Society met at noon on Saturday, 24 April 2010, in the Chicago Room of the Chicago O’Hare Hilton Hotel, O’Hare International Airport, Chicago, IL, 60666.These are the minutes of that meeting. Although some items were treated in Executive Session, all actions taken are reported in these minutes. Council Minutes 24 April 2010 Page 5 I. MINUTES 1. Call to Order 1.1. Opening of the Meeting and Introductions AMS President George Andrews called the meeting to order promptly at noon, CDT, and presided throughout. He asked those present to introduce themselves. Other Council members present were: Alejandro Adem, Georgia Benkart, Sylvain E. Cappell, Ralph L. Cohen, Robert J. Daverman, John M. Franks, Eric M. Friedlander, Robert Guralnick, Richard Hain, Bryna Kra, William A. Massey, Frank Morgan, Jennifer Schultens, Chi-Wang Shu, Joseph H. Silverman, Ronald M. Solomon, Panagiotis E. Souganidis, Janet Talvacchia, Christophe Thiele, Michelle L. Wachs, Steven H. Weintraub, Sarah J. Witherspoon, and David Wright. Other interested parties and guests were: Sandy Golden (Administrative Assistant, AMS Secretary), Sheldon H. Katz (Chair, AMS Nominating Committee), Ellen Maycock (AMS Associate Executive Director), Donald McClure (AMS Executive Director), and Ronald J. Stern (AMS Board of Trustees). Steven Weintraub was the voting Associate Secretary. 1.2. 2009 Elections and More Newly elected or appointed members of the Council took office on 01 February 2010, and they are: President Elect Eric Friedlander Vice President: Sylvain Cappell Members at Large Alejandro Adem Richard Hain Jennifer Schultens Janet Talvacchia Christophe Thiele Math Reviews Editorial Committee Chair Ronald M. -
Probabilistic Models on Fibre Bundles by Shan Shan
Probabilistic Models on Fibre Bundles by Shan Shan Department of Mathematics Duke University Date: Approved: Ingrid Daubechies, Supervisor Sayan Mukherjee, Chair Doug Boyer Colleen Robles Dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Mathematics in the Graduate School of Duke University 2019 ABSTRACT Probabilistic Models on Fibre Bundles by Shan Shan Department of Mathematics Duke University Date: Approved: Ingrid Daubechies, Supervisor Sayan Mukherjee, Chair Doug Boyer Colleen Robles An abstract of a dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Mathematics in the Graduate School of Duke University 2019 Copyright c 2019 by Shan Shan All rights reserved Abstract In this thesis, we propose probabilistic models on fibre bundles for learning the gen- erative process of data. The main tool we use is the diffusion kernel and we use it in two ways. First, we build from the diffusion kernel on a fibre bundle a projected kernel that generates robust representations of the data, and we test that it outperforms regular diffusion maps under noise. Second, this diffusion kernel gives rise to a nat- ural covariance function when defining Gaussian processes (GP) on the fibre bundle. To demonstrate the uses of GP on a fibre bundle, we apply it to simulated data on a M¨obiusstrip for the problem of prediction and regression. Parameter tuning can also be guided by a novel semi-group test arising from the geometric properties of dif- fusion kernel. For an example of real-world application, we use probabilistic models on fibre bundles to study evolutionary process on anatomical surfaces. -
~Umbers the BOO K O F Umbers
TH E BOOK OF ~umbers THE BOO K o F umbers John H. Conway • Richard K. Guy c COPERNICUS AN IMPRINT OF SPRINGER-VERLAG © 1996 Springer-Verlag New York, Inc. Softcover reprint of the hardcover 1st edition 1996 All rights reserved. No part of this publication may be reproduced, stored in a re trieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher. Published in the United States by Copernicus, an imprint of Springer-Verlag New York, Inc. Copernicus Springer-Verlag New York, Inc. 175 Fifth Avenue New York, NY lOOlO Library of Congress Cataloging in Publication Data Conway, John Horton. The book of numbers / John Horton Conway, Richard K. Guy. p. cm. Includes bibliographical references and index. ISBN-13: 978-1-4612-8488-8 e-ISBN-13: 978-1-4612-4072-3 DOl: 10.l007/978-1-4612-4072-3 1. Number theory-Popular works. I. Guy, Richard K. II. Title. QA241.C6897 1995 512'.7-dc20 95-32588 Manufactured in the United States of America. Printed on acid-free paper. 9 8 765 4 Preface he Book ofNumbers seems an obvious choice for our title, since T its undoubted success can be followed by Deuteronomy,Joshua, and so on; indeed the only risk is that there may be a demand for the earlier books in the series. More seriously, our aim is to bring to the inquisitive reader without particular mathematical background an ex planation of the multitudinous ways in which the word "number" is used. -
2. Superoscillations.Pdf
When the Whole Vibrates Faster than Any of its Parts Computational Superoscillation Theory Nicholas Wheeler December 2017 Introduction. The phenomenon/theory of “superoscillations”—brought to my attention by my friend Ahmed Sebbar1—originated in the time-symmetric formulation of quantum mechanics2 that gave rise to the theory of “weak measurements.” Recognition of the role that superoscillations play in that work was brought into explicit focus by Aharonov et al in 1990, and since that date the concept has found application to a remarkable variety of physical subject areas. Yakir Aharonov took his PhD in 1960 from the University of Bristol, where he worked with David Bohm.3 In 1992 a conference was convened at Bristol to celebrate Aharonov’s 60th birthday. It was on that occasion that the superoscillation phenomenon came first to the attention of Michael Berry (of the Bristol faculty), who in an essay “Faster than Fourier” contributed to the proceedings of that conference4 wrote that “He [Aharonov] told me that it is possible for functions to oscillate faster than any of their Fourier components. This seemed unbelievable, even paradoxical; I had heard nothing like it before. ” Berry was inspired to write a series of papers relating to the theory of superoscillation and its potential applications, as also by now have a great many other authors. 1 Private communication, 17 November 2017. 2 Y. Aharonov, P. G. Bergmann & J. L. Libowitz, “Time symmetry in the quantum meassurement process,” Phys. Rev. B 134, 1410–1416 (1964). 3 It was, I suspect, at the invitation of E. P Gross—who had collaborated with Bohm when both were at Princeton—that Aharonov spent 1960–1961 at Brandeis University, from which I had taken the first PhD and departed to Utrecht/CERN in February of 1960, so we never met. -
Mitigating Javascript's Overhead with Webassembly
Samuli Ylenius Mitigating JavaScript’s overhead with WebAssembly Faculty of Information Technology and Communication Sciences M. Sc. thesis March 2020 ABSTRACT Samuli Ylenius: Mitigating JavaScript’s overhead with WebAssembly M. Sc. thesis Tampere University Master’s Degree Programme in Software Development March 2020 The web and web development have evolved considerably during its short history. As a result, complex applications aren’t limited to desktop applications anymore, but many of them have found themselves in the web. While JavaScript can meet the requirements of most web applications, its performance has been deemed to be inconsistent in applications that require top performance. There have been multiple attempts to bring native speed to the web, and the most recent promising one has been the open standard, WebAssembly. In this thesis, the target was to examine WebAssembly, its design, features, background, relationship with JavaScript, and evaluate the current status of Web- Assembly, and its future. Furthermore, to evaluate the overhead differences between JavaScript and WebAssembly, a Game of Life sample application was implemented in three splits, fully in JavaScript, mix of JavaScript and WebAssembly, and fully in WebAssembly. This allowed to not only compare the performance differences between JavaScript and WebAssembly but also evaluate the performance differences between different implementation splits. Based on the results, WebAssembly came ahead of JavaScript especially in terms of pure execution times, although, similar benefits were gained from asm.js, a predecessor to WebAssembly. However, WebAssembly outperformed asm.js in size and load times. In addition, there was minimal additional benefit from doing a WebAssembly-only implementation, as just porting bottleneck functions from JavaScript to WebAssembly had similar performance benefits. -
EMS Newsletter September 2012 1 EMS Agenda EMS Executive Committee EMS Agenda
NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY Editorial Obituary Feature Interview 6ecm Marco Brunella Alan Turing’s Centenary Endre Szemerédi p. 4 p. 29 p. 32 p. 39 September 2012 Issue 85 ISSN 1027-488X S E European M M Mathematical E S Society Applied Mathematics Journals from Cambridge journals.cambridge.org/pem journals.cambridge.org/ejm journals.cambridge.org/psp journals.cambridge.org/flm journals.cambridge.org/anz journals.cambridge.org/pes journals.cambridge.org/prm journals.cambridge.org/anu journals.cambridge.org/mtk Receive a free trial to the latest issue of each of our mathematics journals at journals.cambridge.org/maths Cambridge Press Applied Maths Advert_AW.indd 1 30/07/2012 12:11 Contents Editorial Team Editors-in-Chief Jorge Buescu (2009–2012) European (Book Reviews) Vicente Muñoz (2005–2012) Dep. Matemática, Faculdade Facultad de Matematicas de Ciências, Edifício C6, Universidad Complutense Piso 2 Campo Grande Mathematical de Madrid 1749-006 Lisboa, Portugal e-mail: [email protected] Plaza de Ciencias 3, 28040 Madrid, Spain Eva-Maria Feichtner e-mail: [email protected] (2012–2015) Society Department of Mathematics Lucia Di Vizio (2012–2016) Université de Versailles- University of Bremen St Quentin 28359 Bremen, Germany e-mail: [email protected] Laboratoire de Mathématiques Newsletter No. 85, September 2012 45 avenue des États-Unis Eva Miranda (2010–2013) 78035 Versailles cedex, France Departament de Matemàtica e-mail: [email protected] Aplicada I EMS Agenda .......................................................................................................................................................... 2 EPSEB, Edifici P Editorial – S. Jackowski ........................................................................................................................... 3 Associate Editors Universitat Politècnica de Catalunya Opening Ceremony of the 6ECM – M.