DOCSLIB.ORG

PUBLISHED by the MATHEMATICAL ASSOCIATION of AMERICA in This Issue

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
PUBLISHED by the MATHEMATICAL ASSOCIATION of AMERICA in This Issue w r ,. , math PUBLISHED BY THE MATHEMATICAL ASSOCIATION OF AMERICA In this issue 3 Experiencecan't Be Beat 8 1996-A Triple Anniversary Math Hmizons is for undergraduates and otherswho areinterested in mathe- 14 The Mathematician Who Became matics. Its purpose is to expand both the career and intellectual horizons of Secretary of Defense students. 22 Mathematics in Unexpected Places DONALD J. ALBERS Editor 26 Beyond the Last Theorem CAROL BAXTER Managing Editor 32 Problems JANE D'ALELIO Art Director 35 A Mathematical Word Puzzle Math Horizons (ISSN 1072-4117) is pub- lished four times a year; September, November, February, and April by the Mathematical Association of America, 1529 Eighteenth Street, NW, Washing- ton, DC 20036. September 1996 Vol- ume IV,Issue 1.Periodicalspostage paid atwashington, DC and additional mail- ing offices. Annual subscription rates are $20.00 for MAAmembersand $35.00 About the cover: the Honorable WilliamJ Perry, Secretav of Dqense, stands for nonmembers and libraries. Bulk outside the przmaryflight control bndge of the USS Dwight D. Eisenhower. subscriptions sent to a single address are encouraged. The minimum order is 20 copies ($120.00); additional sub- scriptions may be ordered in units of 10 for $60.00 per unit. For advertisingrates or editorial inquiries call (202) 387- 5200. Printed in the United States of Cover photograph of Secreta?y Pqby RD. Ward courtesy of the Department America. Copyright O 1996 The Math- of Defense. ematical Association ofAmerica. POST- MASTER: Send address changes to Math Horizons, MAA Service Center, PO Box 9 11 12, Washington, DC 20090-11 12. THE MATHEMATICAL ASSOCIATION OF AMERICA 1529 Eighteenth Street, N.W. Washington, D.C. 20036 Math Horizons September 1996 3 1 I I mathHORIZONS ADVISORY BOARD First Four Winners I GERALDL. ALEXANDERSON I Santa Clara University TOMAPOSTOL of Trevor Evans Awards I California Institute of Tecl~nolog)' GEORGEBERZSENM I Rose-Hulmun Instilute of Technology ROBERTBOZEMAN Four outstanding authors of articles in Math Horizons were honored at the I Morehouse College summer meeting of the MAA in Seattle this August. They enjoy the distinction of MARVINBRUBAKER being the first group of Trevor Evans Awards winners. We salute them for their I Messiah College exemplary writing and eagerly await their next articles. BmmFAIRES I Westminster College The Awards are named for Trevor Evans, a distinguished mathematician, DEBORAHFRANTZ teacher and writer at Emory University. I Kutztown University JOEGALLTAN I University of Minnesota-Duluth I APARNAHIGGINS Joel Chan Underwood Dudley University of Dayton Student, Professor of I ROBERTHOOD Editor Em.tus, Boys' Life University of Mathematics, 1 HAROLDJACOBS Toronto. DePauw University U.S. Grant High School, Van Nuys, CA "As Easy as Pi" 'W'hy History?" ' I SANDRAKEITH St. Cluud State University Winter 1993. November 1994. I LEONARDKLOSINSKI Sanla Clara University I JOEMALKWTCH Ywk College I CLEOPATRIAMARTINEZ I ScotL~duleCommunity CoUege JosephGallian Alan Tucker ROBERTMEGGINSON Professor of SUNY I UniversiQ of Michigan RICHARDNEAL Mathematics Distinguished I rl University of Oklahoma University of Teaching Professor HENRYPOLLAK Minnesota, Dulutf SUNY-Stony Brook 1 Teachers College, Columbia University 'Weird Dice" "The Parallel FREDAPORTER-LOCKLWR February 1995. Climbers Puzzle" n Pembroke State University PETERRENZ November 1995. , 1 il Academic Press I V.FREDERICK ~CKY il Bowling Crea State University n RONALDC. ROSIER q Conference Board of tlw Mathematical Sciences If you happened to miss any of these articles, read them now! They are MARK SAUL absolutely first rate. Bronxville School, NY :I ANITASOLOM' Ginnell College h DREW STERRETT,JR. The Mathematical Associalion of Ama'ca n IANSTEM'ART Warwick University Don Albers n JUDITHT~UR State University of Neru Yo&, Stony Brook IRVINVANCE Michigan State University 1 PETERWALTHER I1 Salish-Kootmai College How to Reach Us ANNWATKINS e-mail: [email protected] Call: (202) 387-5200 Fax: (202) 265-2384 n Califmrzia State University, Nurthridge Write: Math Horizons, The Mathematical Association of America, ROBINWILSON The Open University 1529 Eighteenth Street, N.W., Washington, D.C. 20036. !n1 4 Math Horizons September 1996 /Ir-1 -1 AMY J. HEFFELFINGER, BRENDA R. HORST, AND MELANIE B. STARR Experience Can't Be Beat chool is about learning. However, erized data entry systems, preparing our supervisors carefully explain the it is also about preparing for a datasets for statistical analysis, and per- nature of the data and how the pro- S future in the professional com- forming statistical analyses as directed posed analysis will accurately answer munity. Bridging the gap between aca- by statisticians. We are also involved in the question under investigation. demic endeavors and a career in the the preparation of reports for investiga- Though some procedures are familiar "real wor1d"is a challenge facing almost tors (usually physicians) or hospital to us through our classroom studies, all college seniors, especially during administrators. That involvement may many are beyond the scope of our col- the final months precedinggraduation. include anything from creating tables lege courses; these include survival For us, the key to the transition has analysis, repeated measures, and test- been our internship experiences. ing for equivalence. Encountering pre- We are senior mathematics majors viously studied techniques reinforces with minors in statistics at Messiah Col- our classroom experience; exposure to lege, located in Grantham, Pennsylva- Bridging the gap new ones prepares us for further gradu- nia. This year the three of us have had ate study. the opportunity to gain invaluable, prac- between academic Second, we are given a glimpse into tical experience in our field of study the medical field. We are exposed to through working as statistical analyst endeavors and a cutting edge biomedical research in- interns in the Center for Biostatistics vestigating diseases such as asthma, in- and Epidemiology (CBE) at Penn State's career in the "real terstitial cystitis, and sleep apnea. Other College of Medicine, the Milton S. studies explore bone density in young Hershey Medical Center in Hershey, world" is a challenge women, computed tomography tech- Pennsylvania. niques, methods of cholesterol control, CBE is a fairly recent and rapid de- facing almost all and the bioequivalence of drugs. In velopment. Itwas created in 1987 in an addition, we become familiar with the attempt to meet the College of college seniors. components of running clinical trials, Medicine's increasing need for biostatis- such as protocol structure, randomiza- tical and epidemiological resources. Its tion, the use of placebos, drug assign- growth has been tremendous. CBE now ments, and sample size calculations. houses over forty full-time employees at Furthermore, we are given the op- various educational levels-quite ajump and graphs to contributing our own portunity to enhance our computer from the four employees of just eight creative ideas about the format of a programmingskillsand experience, and years ago. In 1992, the structure of CBE report. to absorb knowledge of various com- was expanded to encompass three sepa- Such experience has not only been puter systems. Each of us work at an rate units: biostatistics, epidemiology, valuable for the development of skills. individual work station equippedwith a and health services research. Just as important is the exposure to the UNIX Sun SPARCstation usingasolaris How do statistical analyst interns fit numerous facets of biomedical research, Open Windows Version 3.4 operating into this picture? Most of our work an experience which cannot be repli- system. Through our daily tasks and involves designing and using comput- cated in the classroom. exploration of the system, we have in- First of all, we encounter the variety creased our knowledge and skill in of statistical analyses and procedures moving about the system and finding AMY J. HEFFELFINGER, BRENDA R. HORST being implemented in current medical ways to perform tasks more quickly and and MELANIE B. STARR are senior math- studies. Before we begin the analysis elegantly. Many of these skills are logic ematics majors at Messiah College. programming for a particular study, skills that are transferable to any sys- Math Horizons September 1996 5 Students Melanie Staw, Amy Heffeelfinnga, and Brenda Horst preparing datasets for statistical analysis at the Centerfor Biostatistics and Epidemiology at Penn State's College of Medicine, the Milton S. Hershey Medical Center in Hershey Pennsylvania. tem, while others are unique to a given in trying to accomplish the task ofmak- group continued supplementation software package. Each experiencewith ing the report aesthetically pleasing as while the other half began taking place- a new system or software package makes well as informative. bos. Likewise, half of the original pla- learning the next one easier. One of the studies that Amy works cebo group continued taking placebos, By far most of the work that we do on is part of the Penn State's Young while the other half began supplemen- involves programming in SAS, a lead- Women's Health Study. The study is a tation. The group that switched from ing statistical software package, but col- randomized, double-blind, placebo- placebos to calcium supplementation lectively we have also used other pack- controlled trial that investigates the ef- had the greatest annualized gain in all ages-S-Plus, StatXact, and MINITAB.
Load more

Recommended publications
  • Properties of N-Sided Regular Polygons
    PROPERTIES OF N-SIDED REGULAR POLYGONS When students are first exposed to regular polygons in middle school, they learn their properties by looking at individual examples such as the equilateral triangles(n=3), squares(n=4), and hexagons(n=6). A generalization is usually not given, although it would be straight forward to do so with just a min imum of trigonometry and algebra. It also would help students by showing how one obtains generalization in mathematics. We show here how to carry out such a generalization for regular polynomials of side length s. Our starting point is the following schematic of an n sided polygon- We see from the figure that any regular n sided polygon can be constructed by looking at n isosceles triangles whose base angles are θ=(1-2/n)(π/2) since the vertex angle of the triangle is just ψ=2π/n, when expressed in radians. The area of the grey triangle in the above figure is- 2 2 ATr=sh/2=(s/2) tan(θ)=(s/2) tan[(1-2/n)(π/2)] so that the total area of any n sided regular convex polygon will be nATr, , with s again being the side-length. With this generalized form we can construct the following table for some of the better known regular polygons- Name Number of Base Angle, Non-Dimensional 2 sides, n θ=(π/2)(1-2/n) Area, 4nATr/s =tan(θ) Triangle 3 π/6=30º 1/sqrt(3) Square 4 π/4=45º 1 Pentagon 5 3π/10=54º sqrt(15+20φ) Hexagon 6 π/3=60º sqrt(3) Octagon 8 3π/8=67.5º 1+sqrt(2) Decagon 10 2π/5=72º 10sqrt(3+4φ) Dodecagon 12 5π/12=75º 144[2+sqrt(3)] Icosagon 20 9π/20=81º 20[2φ+sqrt(3+4φ)] Here φ=[1+sqrt(5)]/2=1.618033989… is the well known Golden Ratio.
    [Show full text]
  • [The PROOF of FERMAT's LAST THEOREM] and [OTHER MATHEMATICAL MYSTERIES] the World's Most Famous Math Problem the World's Most Famous Math Problem
    0Eft- [The PROOF of FERMAT'S LAST THEOREM] and [OTHER MATHEMATICAL MYSTERIES] The World's Most Famous Math Problem The World's Most Famous Math Problem [ THE PROOF OF FERMAT'S LAST THEOREM AND OTHER MATHEMATICAL MYSTERIES I Marilyn vos Savant ST. MARTIN'S PRESS NEW YORK For permission to reprint copyrighted material, grateful acknowledgement is made to the following sources: The American Association for the Advancement of Science: Excerpts from Science, Volume 261, July 2, 1993, C 1993 by the AAAS. Reprinted by permission. Birkhauser Boston: Excerpts from The Mathematical Experience by Philip J. Davis and Reuben Hersh © 1981 Birkhauser Boston. Reprinted by permission of Birkhau- ser Boston and the authors. The Chronicleof Higher Education: Excerpts from The Chronicle of Higher Education, July 7, 1993, C) 1993 Chronicle of HigherEducation. Reprinted by permission. The New York Times: Excerpts from The New York Times, June 24, 1993, X) 1993 The New York Times. Reprinted by permission. Excerpts from The New York Times, June 29, 1993, © 1993 The New York Times. Reprinted by permission. Cody Pfanstieh/ The poem on the subject of Fermat's last theorem is reprinted cour- tesy of Cody Pfanstiehl. Karl Rubin, Ph.D.: The sketch of Dr. Wiles's proof of Fermat's Last Theorem in- cluded in the Appendix is reprinted courtesy of Karl Rubin, Ph.D. Wesley Salmon, Ph.D.: Excerpts from Zeno's Paradoxes by Wesley Salmon, editor © 1970. Reprinted by permission of the editor. Scientific American: Excerpts from "Turing Machines," by John E. Hopcroft, Scientific American, May 1984, (D 1984 Scientific American, Inc.
    [Show full text]
  • Formulas Involving Polygons - Lesson 7-3
    you are here > Class Notes – Chapter 7 – Lesson 7-3 Formulas Involving Polygons - Lesson 7-3 Here’s today’s warmup…don’t forget to “phone home!” B Given: BD bisects ∠PBQ PD ⊥ PB QD ⊥ QB M Prove: BD is ⊥ bis. of PQ P Q D Statements Reasons Honors Geometry Notes Today, we started by learning how polygons are classified by their number of sides...you should already know a lot of these - just make sure to memorize the ones you don't know!! Sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon 11 Undecagon 12 Dodecagon 13 Tridecagon 14 Tetradecagon 15 Pentadecagon 16 Hexadecagon 17 Heptadecagon 18 Octadecagon 19 Enneadecagon 20 Icosagon n n-gon Baroody Page 2 of 6 Honors Geometry Notes Next, let’s look at the diagonals of polygons with different numbers of sides. By drawing as many diagonals as we could from one diagonal, you should be able to see a pattern...we can make n-2 triangles in a n-sided polygon. Given this information and the fact that the sum of the interior angles of a polygon is 180°, we can come up with a theorem that helps us to figure out the sum of the measures of the interior angles of any n-sided polygon! Baroody Page 3 of 6 Honors Geometry Notes Next, let’s look at exterior angles in a polygon. First, consider the exterior angles of a pentagon as shown below: Note that the sum of the exterior angles is 360°.
    [Show full text]
  • San Diego Public Library New Additions September 2008
    San Diego Public Library New Additions September 2008 Adult Materials 000 - Computer Science and Generalities California Room 100 - Philosophy & Psychology CD-ROMs 200 - Religion Compact Discs 300 - Social Sciences DVD Videos/Videocassettes 400 - Language eAudiobooks & eBooks 500 - Science Fiction 600 - Technology Foreign Languages 700 - Art Genealogy Room 800 - Literature Graphic Novels 900 - Geography & History Large Print Audiocassettes Newspaper Room Audiovisual Materials Biographies Fiction Call # Author Title FIC/ABE Abé, Shana. The dream thief FIC/ABRAHAMS Abrahams, Peter, 1947- Delusion [SCI-FI] FIC/ADAMS Adams, Douglas, 1952- Dirk Gently's holistic detective agency FIC/ADAMSON Adamson, Gil, 1961- The outlander : a novel FIC/ADLER Adler, Elizabeth (Elizabeth A.) Meet me in Venice FIC/AHERN Ahern, Cecelia, 1981- There's no place like here FIC/ALAM Alam, Saher, 1973- The groom to have been FIC/ALEXANDER Alexander, Robert, 1952- The Romanov bride FIC/ALI Ali, Tariq. Shadows of the pomegranate tree FIC/ALLEN Allen, Preston L., 1964- All or nothing [SCI-FI] FIC/ALLSTON Allston, Aaron. Star wars : legacy of the force : betrayal [SCI-FI] FIC/ANDERSON Anderson, Kevin J. Darksaber FIC/ARCHER Archer, Jeffrey, 1940- A prisoner of birth FIC/ARCHER Archer, Jeffrey, 1940- A prisoner of birth FIC/ARCHER Archer, Jeffrey, 1940- Cat o'nine tales and other stories FIC/ASARO Asaro, Catherine. The night bird FIC/AUSTEN Austen, Jane, 1775-1817. Emma FIC/AUSTEN Austen, Jane, 1775-1817. Mansfield Park FIC/AUSTEN Austen, Jane, 1775-1817. Minor works FIC/AUSTEN Austen, Jane, 1775-1817. Northanger Abbey and Persuasion FIC/AUSTEN Austen, Jane, 1775-1817. Sense and sensibility FIC/BAHAL Bahal, Aniruddha, 1967- Bunker 13 FIC/BALDACCI Baldacci, David.
    [Show full text]
  • Omegahat Packages for R
    News The Newsletter of the R Project Volume 1/1, January 2001 Editorial by Kurt Hornik and Friedrich Leisch As all of R, R News is a volunteer project. The editorial board currently consists of the R core devel- Welcome to the first volume of R News, the newslet- opment team plus Bill Venables. We are very happy ter of the R project for statistical computing. R News that Bill—one of the authorities on programming the will feature short to medium length articles covering S language—has offered himself as editor of “Pro- topics that might be of interest to users or developers grammer’s Niche”, a regular column on R/S pro- of R, including gramming. This first volume already features a broad range Changes in R: new features of the latest release • of different articles, both from R core members and other developers in the R community (without Changes on CRAN: new add-on packages, • whom R would never have grown to what it is now). manuals, binary distributions, mirrors, . The success of R News critically depends on the ar- Add-on packages: short introductions to or re- ticles in it, hence we want to ask all of you to sub- • views of R extension packages mit to R News. There is no formal reviewing pro- cess yet, however articles will be reviewed by the ed- Programmer’s Niche: nifty hints for program- itorial board to ensure the quality of the newsletter. • ming in R (or S) Submissions should simply be sent to the editors by email, see the article on page 30 for details on how to Applications: Examples of analyzing data with • write articles.
    [Show full text]
  • Kwame Nkrumah University of Science and Technology, Kumasi
    KWAME NKRUMAH UNIVERSITY OF SCIENCE AND TECHNOLOGY, KUMASI, GHANA Assessing the Social Impacts of Illegal Gold Mining Activities at Dunkwa-On-Offin by Judith Selassie Garr (B.A, Social Science) A Thesis submitted to the Department of Building Technology, College of Art and Built Environment in partial fulfilment of the requirement for a degree of MASTER OF SCIENCE NOVEMBER, 2018 DECLARATION I hereby declare that this work is the result of my own original research and this thesis has neither in whole nor in part been prescribed by another degree elsewhere. References to other people’s work have been duly cited. STUDENT: JUDITH S. GARR (PG1150417) Signature: ........................................................... Date: .................................................................. Certified by SUPERVISOR: PROF. EDWARD BADU Signature: ........................................................... Date: ................................................................... Certified by THE HEAD OF DEPARTMENT: PROF. B. K. BAIDEN Signature: ........................................................... Date: ................................................................... i ABSTRACT Mining activities are undertaken in many parts of the world where mineral deposits are found. In developing nations such as Ghana, the activity is done both legally and illegally, often with very little or no supervision, hence much damage is done to the water bodies where the activities are carried out. This study sought to assess the social impacts of illegal gold mining activities at Dunkwa-On-Offin, the capital town of Upper Denkyira East Municipality in the Central Region of Ghana. The main objectives of the research are to identify factors that trigger illegal mining; to identify social effects of illegal gold mining activities on inhabitants of Dunkwa-on-Offin; and to suggest effective ways in curbing illegal mining activities. Based on the approach to data collection, this study adopts both the quantitative and qualitative approach.
    [Show full text]
  • ( ) Methods for Construction of Odd Number Pointed
    Daniel DOBRE METHODS FOR CONSTRUCTION OF ODD NUMBER POINTED POLYGONS Abstract: The purpose of this paper is to present methods for constructing of polygons with an odd number of sides, although some of them may not be built only with compass and straightedge. Odd pointed polygons are difficult to construct accurately, though there are relatively simple ways of making a good approximation which are accurate within the normal working tolerances of design practitioners. The paper illustrates rather complicated constructions to produce unconstructible polygons with an odd number of sides, constructions that are particularly helpful for engineers, architects and designers. All methods presented in this paper provide practice in geometric representations. Key words: regular polygon, pentagon, heptagon, nonagon, hendecagon, pentadecagon, heptadecagon. 1. INTRODUCTION n – number of sides; Ln – length of a side; For a specialist inured to engineering graphics, plane an – apothem (radius of inscribed circle); and solid geometries exert a special fascination. Relying R – radius of circumscribed circle. on theorems and relations between linear and angular sizes, geometry develops students' spatial imagination so 2. THREE - POINT GEOMETRY necessary for understanding other graphic discipline, descriptive geometry, underlying representations in The construction for three point geometry is shown engineering graphics. in fig. 1. Given a circle with center O, draw the diameter Construction of regular polygons with odd number of AD. From the point D as center and, with a radius in sides, just by straightedge and compass, has preoccupied compass equal to the radius of circle, describe an arc that many mathematicians who have found ingenious intersects the circle at points B and C.
    [Show full text]
  • A Framework for a Public-Private Partnership to Increase The
    A national laboratory of the U.S. Department of Energy Office of Energy Efficiency & Renewable Energy National Renewable Energy Laboratory Innovation for Our Energy Future Enhancing Commercial Technical Report NREL/TP-110-40463 Outcomes from R&D May 2007 A Framework for a Public–Private Partnership to Increase the Yield of Federally Funded R&D Investments and Promote Economic Development L.M. Murphy Manager, Enterprise Development Programs National Renewable Energy Laboratory P. Jerde Executive Director Robert H. and Beverly A. Deming Center for Entrepreneurship, Leeds School of Business University of Colorado, Boulder L. Rutherford Venture Partner Vista Ventures R. Barone 2008 MS/MBA Candidate Department of Environmental Studies and Leeds School of Business University of Colorado, Boulder NREL is operated by Midwest Research Institute ● Battelle Contract No. DE-AC36-99-GO10337 Enhancing Commercial Technical Report NREL/TP-110-40463 Outcomes from R&D May 2007 A Framework for a Public–Private Partnership to Increase the Yield of Federally Funded R&D Investments and Promote Economic Development L.M. Murphy Manager, Enterprise Development Programs National Renewable Energy Laboratory P. Jerde Executive Director Robert H. and Beverly A. Deming Center for Entrepreneurship, Leeds School of Business University of Colorado, Boulder L. Rutherford Venture Partner Vista Ventures R. Barone 2008 MS/MBA Candidate Department of Environmental Studies and Leeds School of Business University of Colorado, Boulder Prepared under Task No. 1100.1000 National Renewable Energy Laboratory 1617 Cole Boulevard, Golden, Colorado 80401-3393 303-275-3000 • www.nrel.gov Operated for the U.S. Department of Energy Office of Energy Efficiency and Renewable Energy by Midwest Research Institute • Battelle Contract No.
    [Show full text]
  • In This Issue
    SCASA: SOUTHERN CALIFORNIA CHA P- E-Tidings Newsletter TER OF THE AMERI- CAN STATISTICAL ASSOCIATION SCASA Events and News VOLUME 8, ISSUES 1 - 2 JANUARY - FEBRUARY 2019 In This Issue Page 2: New SCASA board Pages 3-4: Presidential address Page 5: Book Club Page 6: Online store Page 7: Statistics Poster competition Page 8: DataFest Page 9: Careers Day Page 10: Applied Statistics Workshop Page 11: Traveling course Page 12: Job Opening Announcement Page 13: Dr. Normalcurvesaurus, Ph.D. presents The answer is at the bottom of this issue. http://community.amstat.org/scasa/newsletters VOLUME 8, ISSUES 1 - 2 P A G E 2 SCASA Officers 2019-2020 : CONGRATULATIONS TO ALL ELECTED AND RE-ELECTED!!! We have the newly elected SCASA board!!! Congratulations to Everyone!!! President: James Joseph, AKAKIA [[email protected]] President-Elect: Rebecca Le, County of Riverside [[email protected]] Immediate Past President: Olga Korosteleva, CSULB [[email protected]] Treasurer: Olga Korosteleva, CSULB [[email protected]] Secretary: Michael Tsiang, UCLA [[email protected]] Vice President of Professional Affairs: Anna Liza Antonio, Enterprise Analytics [[email protected]] Vice President of Academic Affairs: Shujie Ma, UCR [[email protected]] Vice President for Student Affairs: Anna Yu Lee, APU and Claremont Graduate University [[email protected]] The ASA Council of Chapters Representative: Harold Dyck, CSUSB [[email protected]] ENewsletter Editor-in-Chief: Olga Korosteleva, CSULB [[email protected]] Chair of the Applied Statistics Workshop Committee: James Joseph, AKAKIA [[email protected]] Treasurer of the Applied Statistics Workshop: Rebecca Le, County of Riverside [[email protected]] Webmaster: Anthony Doan, CSULB [[email protected]] http://community.amstat.org/scasa/newsletters P A G E 3 VOLUME 8, ISSUES 1 - 2 “GROW STRONG” Presidential Address Southern California may be the most diverse job market in the United States, if not the world.
    [Show full text]
  • Fundamental Theorems in Mathematics
    SOME FUNDAMENTAL THEOREMS IN MATHEMATICS OLIVER KNILL Abstract. An expository hitchhikers guide to some theorems in mathematics. Criteria for the current list of 243 theorems are whether the result can be formulated elegantly, whether it is beautiful or useful and whether it could serve as a guide [6] without leading to panic. The order is not a ranking but ordered along a time-line when things were writ- ten down. Since [556] stated “a mathematical theorem only becomes beautiful if presented as a crown jewel within a context" we try sometimes to give some context. Of course, any such list of theorems is a matter of personal preferences, taste and limitations. The num- ber of theorems is arbitrary, the initial obvious goal was 42 but that number got eventually surpassed as it is hard to stop, once started. As a compensation, there are 42 “tweetable" theorems with included proofs. More comments on the choice of the theorems is included in an epilogue. For literature on general mathematics, see [193, 189, 29, 235, 254, 619, 412, 138], for history [217, 625, 376, 73, 46, 208, 379, 365, 690, 113, 618, 79, 259, 341], for popular, beautiful or elegant things [12, 529, 201, 182, 17, 672, 673, 44, 204, 190, 245, 446, 616, 303, 201, 2, 127, 146, 128, 502, 261, 172]. For comprehensive overviews in large parts of math- ematics, [74, 165, 166, 51, 593] or predictions on developments [47]. For reflections about mathematics in general [145, 455, 45, 306, 439, 99, 561]. Encyclopedic source examples are [188, 705, 670, 102, 192, 152, 221, 191, 111, 635].
    [Show full text]
  • Volume 2 Shape and Space
    Volume 2 Shape and Space Colin Foster Introduction Teachers are busy people, so I’ll be brief. Let me tell you what this book isn’t. • It isn’t a book you have to make time to read; it’s a book that will save you time. Take it into the classroom and use ideas from it straight away. Anything requiring preparation or equipment (e.g., photocopies, scissors, an overhead projector, etc.) begins with the word “NEED” in bold followed by the details. • It isn’t a scheme of work, and it isn’t even arranged by age or pupil “level”. Many of the ideas can be used equally well with pupils at different ages and stages. Instead the items are simply arranged by topic. (There is, however, an index at the back linking the “key objectives” from the Key Stage 3 Framework to the sections in these three volumes.) The three volumes cover Number and Algebra (1), Shape and Space (2) and Probability, Statistics, Numeracy and ICT (3). • It isn’t a book of exercises or worksheets. Although you’re welcome to photocopy anything you wish, photocopying is expensive and very little here needs to be photocopied for pupils. Most of the material is intended to be presented by the teacher orally or on the board. Answers and comments are given on the right side of most of the pages or sometimes on separate pages as explained. This is a book to make notes in. Cross out anything you don’t like or would never use. Add in your own ideas or references to other resources.
    [Show full text]
  • Group Looks to Save Brandywine's Deli
    407-740-0401 www.FirstColonyBank.net TAX DEFERRED NEW Dermatology Office! 3.35% FIXED ANNUITY RATE FOR 5 YEARS. THE NATIONAL 5 YEAR CD RATE IS 1.34% 407-599-SKIN (7546) *Waive co-payment up to $25 • No referral needed Your Real Hometown Bank Bob Adams • Accepting all insurances On Hwy 17-92 in Maitland 451 Maitland Ave, Altamonte Springs, FL 32701 Dr. John Cottam Dr. Ross Wheeler Member FDIC 407-644-6646 wpmobserver.com Thursday, April 12, 2012 50¢+ tax Calendar The Doggie Art Festival is this weekend, as well as the Maitland Art Festival and Culture & Cocktails. Page 10 Group looks to save Brandywine’s Deli ANDY CEBALLOS Observer Homes Observer Staff The existing home market in Orange Sandy Phillips started meet- and Seminole counties continued to ing at Brandywine’s Deli in Win- show signs of improvement last year. ter Park with friends from Rollins College in 1987. Page 20 For 25 years, it’s been a weekly Friday afternoon hangout, where the Oviedo resident and her friends and former colleagues gather to share laughs and sto- ries over beer, wine and snacks at the end of the workweek. But with the announced clos- ing of Brandywine’s Deli, she has found herself searching for Stop by and say goodbye to Brandywine’s answers as to why it has to close, Deli, 505 N. Park Ave., before it likely shuts and is taking her case straight to its doors forever on Saturday, April 28. the deli’s landlord. Phillips has mailed a peti- Lifestyles PHOTO BY ANDY CEBALLOS— THE OBSERVER The Florida Film Festival, which kicks tion signed by 325 individuals to landlord Wayne Roberts of This group of former Rollins colleagues and friends has eaten at Brandywine’s Deli every Friday for 25 years.
    [Show full text]