81. Sources, Vol. 2, Projects: P - R 34, 35, 36, 37, 38, 39, 40); John Tukey (PMC41); Robert Walker (PMC-42);hassler whitney (PMC-43); Eugene Wigner (PMC-44); and Shaun Wylie (PMC-45). http://www.ieee.org/organizations/history_center/research_guides/sources2/projec

COLLECTION LISTINGS - Projects - P through R PACIFIC NORTHWEST BROADCASTING Washington State Interviewer: Hugh Rundell Dates of interviews: Transcript The Pacific Northwest Broadcasting Oral History Project consist of a series of interviews with various radio broadcasting pioneers from the region. A variety of subject matters are covered based on individuals' experiences in radio and television broadcasting. The individuals who were interviewed are Leo Beckley, Al Bond, Jack Clarke, Homer Pope, Robert Priebe, and James Wallace. FRANK POLKINGHORN PROJECT IEEE, N.J. Interviewers: Frank Polkinghorn, Norval, Dwyer, Mark Heyer, Al Pinsky, George T. Royden, Kenneth Van Tassel, Julian D. Tebo Dates of interviews: This series of interviews covers a number of disparate topics within electrical engineering. THE POWER LINE PROJECT COLLECTION University of Minnesota Dates of interviews: Transcript In 1972 the Cooperative Power Association and the United Power Association began discussing the feasibility of building a power plant in North Dakota to transmit energy along a 400 kilovolt direct current line to their Minnesota customers.

82. 2. Introduction By Pictures The whitney umbrella is named after hassler whitney who studied it in connectionwith the stratification of analytic spaces. It has the local equation http://www.mathematik.uni-kl.de/~zca/Reports_on_ca/29/paper_html/node3.html

Next: 3. Some problems in Up: Computer Algebra and Algebraic Previous: 1. Preface Contents 2. Introduction by pictures The basic problem of algebraic geometry is to understand the set of points satisfying a system of equations where is a field and are elements of the polynomial ring The solution set of is called the algebraic set, or algebraic variety of and is denoted by It is easy to see, and important to know, that depends only on the ideal generated by in , that is The Cayley Cubic There is a unique cubic surface which has four ordinary double points, usually called the Cayley cubic after its discoverer, Arthur Cayley. It is a degeneration of the Clebsch cubic, has S as symmetry group, and the projective equation is z z z +z z z +z z z +z z z A Cubic with a D -Singularity Degenerating the Cayley cubic we receive a D -singularity. The affine equation is 5x(x )+z (1+z)+2xy+2yz = 0. The Barth Sextic The equation for this sextic was found by Wolf Barth. It has 65 ordinary double points, the maximal possible number for a sextic. Its affine equation is (with c=(1+sqrt(5))/2) 16(2c+1)x y z (x y + y z +x z (x y + y z +x z ) -(2c+1)(x +y + z An Ordinary Node An ordinary node is the most simple singularity. It has the local equation

83. Docs/outreach/oi/waves/pinch.3dhtml This surface is called the whitney umbrella, in honor of hassler whitney, one ofthe creators of differential topology. You can obtain it by taking an X http://www.geom.uiuc.edu/docs/outreach/oi/waves/pinch.html

Click to: Look At Rotate Pick URL Get Data Get Image Refresh Show: All Edges Faces Shader: Smooth Flat A Pinch of Topology Topology an important area of mathematics that has applications from subatomic physics to large-scale astronomy was born when mathematicians realized that there is something behind the notion of nearness that does not depend on measurements. This qualitative view of nearness implies that elastic distortions, compressions or expansions don't change the essence of a shape. By contrast, tearing an object changes it drastically: points on opposite sides of the tear end up apart, no matter how close together they were. Puncturing that is, taking away a point is also an essential change. So the rule about not tearing or puncturing the surface is a topological one. Topology deals with all sorts of surfaces (and also curves ). A subarea called differential topology concentrates on surfaces that are smooth . Think of a mesh on the surface, like the latitude-longitude grid on the globe. Smoothness means that the curves of the mesh don't have corners. This corresponds to the intuitive idea of a smooth surface, without creases, kinks, corners, etc. At a crease (such as the equator in the figure above) it's impossible to find a smooth mesh. It is also impossible to find a smooth mesh around a pinch point , like the point at the center of this surface: (Click on the picture to rotate it. Check the

84. Read This: Four Colors Suffice: How The Map Problem Was Solved the twentieth century, those working on it most assiduously were AmericansGD Birkhoff, Oswald Veblen, Philip Franklin, hassler whitney, among others. http://www.maa.org/reviews/fourcolors.html

Search MAA Online MAA Home Read This! The MAA Online book review column Four Colors Suffice: How the Map Problem Was Solved by Robin Wilson Reviewed by G. L. Alexanderson Robin Wilson can write. Of course, we've known that for a long time, from his many previous works (sometimes coauthored): thirteen books (by my last count) on graph theory and combinatorics; four volumes on Gilbert and Sullivan; four on the history of mathematics; one on mathematical stamps; and now a book telling the story of the solution of the four color problem. In writing it always helps to have a topic that is by its very nature an entertaining tale with a large and colorful cast of characters. In the author's own words, taken from the preface, we are told that this cast includes: "Lewis Carroll, the Bishop of London, a professor of French literature, an April Fool hoaxer, a botanist who loved heather, a mathematician with a passion for golf, a man who set his watch just once a year, a bridegroom who spent his honeymoon colouring maps, and a Californian traffic cop." Now let's take a look at the problem: Can every map be colored with at most four colors in such a way that neighboring countries are colored differently? The author explains, for his nonmathematical audience, that a proof that four colors suffice must show that all maps can be colored with four colors only. Showing that millions or billions of maps can be colored with four colors will not do.

85. Untitled Document Montpelier; Lindsey Graves, Harwood, Jr., M; whitney Gonneville, Northfield,So., M; Hannah hassler, Mount Mansfield, Jr., B; Becky Kennison, Woodstock, http://www.burlingtonfreepress.com/specialnews/allstate/gsoccer.htm

affil_domain="burlingtonfreepress"; HOME TOP NEWS ENTERTAINMENT CLASSIFIEDS ... HELP News Search: S E C T I O N S News Gateway Top Stories Local Sports ... Business Directory A R C H I V E S Search from: Past 7 days Past 30 days Past 90 days Past 6 months Past Year 1999 - current E X T R A S Obituaries Columnists PDA Version E-technology ... Forms S E R V I C E S Contact Us Subscriber Services Customer ... Opportunities Free Press All-State Girls Soccer Team 2002 FIRST TEAM Zippy Podhaizer Essex Senior, back ` The player : Graduation cost Essex’s defense all-staters Leah Yandow and Meghan Nadolski, so coach Bill O’Neil plugged in Podhaizer at sweeper and the Hornets never missed a beat. “Zippy stepped into two huge pairs of shoes and really solidfied that defense,” said Spaulding coach Peter Sakash. “Their defense looked that same to me,” said CVU’s Brad Parker, “because of Zippy.” ` Trophy case : VSCA All-State, 2002 ... All-Metro Division, first team, 2001, 2002 Andrea Hutchins Spaulding Senior, midfielder

86. FOR IMMEDIATE RELEASE 10/29/03 THE NATIONAL TELEVISION ACADEMY Executive Producer Jeff Fager Senior Broadcast Producer Michael whitney ProducerPhil Shimkin Executive Editor Patti hassler Correspondent Charlie Rose http://www.emmyonline.org/emmy/bizemmys/BizEmmyNomPRFinal.txt

87. FOR IMMEDIATE RELEASE 07/14/03 Revised 7/28/03 THE 24th ANNUAL Editor Patti hassler ** Senior Broadcast Producer Michael R. whitney R.whitney ** Executive Editor Patti hassler ** Producers Paul Gallagher, http://www.emmyonline.org/releases/txts/24NomineeReleaseFinal_rev.txt

88. Hassler Whitney Université Montpellier II Translate this page hassler whitney (1907-1989). Cette image et la biographie complète en anglaisrésident sur le site de l’université de St Andrews Écosse http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=1981

89. [Asis-l] National Medal Of Science -- Nominiations Due June 30, 2003 Kurt Otto New York University 1976 whitney, hassler Institute for AdvancedStudy 1976 Backus, John W. IBM San Jose Research Lab 1975 Comp Sci Chern, http://mail.asis.org/pipermail/asis-l/2003-May/000738.html

[Asis-l] National Medal of Science Nominiations due June 30, 2003 Richard Hill rhill@asis.org Tue, 06 May 2003 08:46:44 -0400 Previous message: Next message: [Asis-l] ECDL2003 Poster and Demonstration proposals deadline 19 May Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] [Forwarded message from Maria Zemanko of the National Science Foundation. Dick Hill] I would like to encourage you to nominate a member of the ASIST community for the 2004 National Medal of Science ( http://www.nsf.gov/nsb/awards/nms/medal.htm http://www.nsf.gov/pubsys/ods/getpub.cfm?nsf03040 nms@nsf.gov http://www.nsf.gov/home/cns/start.htm Please send questions and comments to webmaster@nsf.gov in oder to be informed about NSF program annoucements and other relevant issues, e.g., -Original Message- From: NSF Custom News Service Sent: Thursday, May 01, 2003 8:44 PM To: Subject: NSF Custom News Service The following document(s) are now available from the NSF Online Document System. The National Medal of Science 2004 URL : http://www.nsf.gov/pubsys/ods/getpub.cfm?nsf03040

90. AMCA: Joint Meeting Of AMS, DMV, And ÖMG - Abstracts hassler whitney, the Applied Mathematics Panel, and Airborne Weapons Accuracy hassler whitney, then at Harvard, joined the group at Columbia working on http://at.yorku.ca/cgi-bin/amca/select/caoz-01?session=14

91. Department Of Mathematics And Statistics - Events - News and Events The theory started with the work of hassler whitney who defined manifolds andmade several stunning observations his weak and strong embedding theorems http://www.math.ucalgary.ca/events/index.php?newstypeid=10&newsid=1049&__Goto=go

92. Www.mathematik.de | Diskrete Mathematik hassler whitney William Tutte. Frank Ramsey, Bartel van derWaerden, Philip Hall, hassler whitney, William Tutte http://www.mathematik.de/mde/information/landkarte/gebiete/diskretemathematik/di

Impressum Kontakt Suchen [Druckversion] Diskrete Mathematik Kombinatorik n k n k n = 10 (die Zahlen bis 9) und man kann gleiche Zahlen mehrmals in einer Telefonnummer haben. Auch ist diesmal im Gegensatz zum Lotto die Reihenfolge wichtig. Setzt man k Ein weiteres wichtiges Teilgebiet der Diskreten Mathematik ist die Graphentheorie Im Zusammenhang mit der Graphentheorie bilden Algorithmen Eugen Netto Alfred Kempe Percy Heawood Kazimierz Kuratowski Karl Menger E. Netto (1848-1919). Ebenfalls 1901 erschien das Buch Choice and Chance Wahrscheinlichkeitstheorie zu erkennen. B. van der Waerden (1903-1996) oder P. Hall (1904-1982), Logikern wie F. Ramsey (1903-1930) und Topologen wie K. Kuratowski (1896-1980) oder K. Menger (1902-1985) erzielt, was die Verbindung dieses Gebiets zur abstrakten Algebra verdeutlicht. Frank Ramsey Bartel van der Waerden Philip Hall Hassler Whitney William Tutte H.Whitney (1907-1989) eine wesentliche Rolle spielte. Sowohl in der Theorie, als auch in den Anwendungen nahm die Graphentheorie in den 50er und 60er Jahren, besonders durch W.T. Tutte

93. Sonja Kovalevskydagarna 2003 @ Matematikcentrum, Lunds Universitet, Sverige In the 1930 s the mathematician hassler whitney found a canonical method (thatmeans there is an algorithm) for cutting any region into an infinite number http://www.maths.lth.se/kovalevsky/program/

DETTA ÄR SIDORNA FÖR ÅR 2003. ( 2004 ÅRS... Sonja Kovalevskydagarna Matematikdagar för gymnasister 10-11 oktober 2003 Plats: Matematikcentrum vid Lunds Universitet Lunds Tekniska Högskola Senaste nytt: LUM (nr 9) skriver om Kovalevskydagarna... Problemlösningar tillgängliga... Bilder från vår fotograf... 2003-10-12 Sydsvenskan skriver om Kovalevskydagarna. 2003-10-11 Kovalevskydagarna 2003 är avslutade. Hem Allmänt Om Kovalevsky Anmälda skolor Tidigare år Kontakta oss Till deltagare Rese- och boendeinformation Program Utbildningar i Sverige Matematisk kuriosa ... Bilder från 2003 Nytt Nytt Till skolor Anmälan Utskick Till sponsorer Sponsra dagarna Anmälda sponsorer Skriv ut allt Program Utskriftsvänlig version av programmet: HTML A4 pdf Programmet kommer att bjuda på en intressant blandning av föredrag, workshops, utställningar, filmvisning mm. Föredragshållarna representerar både universitet och näringsliv. Deltagarna får tillfälle att träffa studenter och prata om matematikstudier på högskolan. En panel att ställa frågor till kommer också att ingå. Naturligtvis blir det underhållning i form av spex och musik, allt med matematisk anknytning. De flesta aktiviteter förutom workshoppen kommer att hållas i Kårhusets vilket är 200 meter från Matematikcentrum. Se karta till höger.

94. Guradution Support http://www.icm2002.org.cn/Chinese/Wolf/Whitney.htm

95. Theme4_Cours4 Quantities srtuctures and dimensional analysis, The American Monthly http://www-leibniz.imag.fr/EEDDM11/Theme4/Cours4.html

Cours 4 Guy Brousseau liste de situations et de pratiques - Le texte d'accompagnement comprendra en outre : - Je tenterai alors d' organiser ce champ de situations par leur structure afin de dessiner une Il est temps de coordonner nos recherches en macro-didactique des grandeurs et de leur mesure : Questions avant le cours Un nombre naturel est-il une grandeur ? Une force est-elle une grandeur ? La taille des nombres est-elle une grandeur ? Bibliographie ( succincte et provisoire) Encyclopaedia universalis 7. 497b : Dimensionnelle (analyse et similitude), KAZIN, M. et KOTCHARIAN, M. Et articles sur la mesure. Nicolas ROUCHE, Le sens de la mesure, Didier Hatier, 1992. Whitney Hassler, 1968, " The Mathematics of Physical Quantities, Part II : Quantities srtuctures and dimensional analysis, The American Monthly " Nadine BROUSSEAU : " La mesure au CM1 ", IREM de Bordeaux, 1987 BROUSSEAU G. " Les univers de la mesure " BROUSSEAU G " Grandeurs, mesures, nombres " (texte d'accompagnement du cours)

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