Month: November 2002

  • Hope of Heaven


    This title is taken from a John O'Hara novel I like very much. It seems appropriate because today is the birthday of three admirable public figures:



    "No one can top Eleanor Powell - not even Fred Astaire." -- A fellow professional.  Reportedly, "Astaire himself said she was better than him." 


    That's as good as it gets.


    Let us hope that Powell, Hawkins, and Q are enjoying a place that Q, quoting Plato's Phaedrus, described as follows:


    "a fair resting-place, full of summer sounds and scents!"


    This is a rather different, and more pleasant, approach to the Phaedrus than the one most familiar to later generations -- that of Pirsig in Zen and the Art of Motorcyle Maintenance.  Both approaches, however, display what Pirsig calls "Quality."


    One of my own generation's closest approaches to Quality is found in the 25th Anniversary Report of the Harvard Class of 1964.  Charles Small remarks,


    "A lot of other stuff has gone down the drain since 1964, of course, besides my giving up being a mathematician and settling into my first retirement.  My love-hate relationship with the language has intensified, and my despair with words as instruments of communion is often near total.  I read a little, but not systematically. I've always been enthralled by the notion that Time is an illusion, a trick our minds play in an attempt to keep things separate, without any reality of its own. My experience suggests that this is literally true, but not the kind of truth that can be acted upon....


    I'm always sad and always happy. As someone says in Diane Keaton's film 'Heaven,' 'It's kind of a lost cause, but it's a great experience.'"


    I agree.  Here are two links to some work of what is apparently this same Charles Small:


  • Back Again


    Sorry for the hiatus in weblog entries since November 9.  There were two reasons for this...



    • The five entries ending Nov. 9 formed a sort of story, taken as a whole, and I didn't want to break up the set.  But now I have archived this set of five entries. See my Diamond 16 Puzzle notes.
    • A very nasty entry in my Diamond Theory Forum site shook me up, and I haven't felt like blogging until now.

  • Birthdate of Hermann Weyl








    Weyl





    Plato's Diamond


    Result of a Google search.


    Category:  Science > Math > Algebra > Group Theory 








    Weyl, H.: Symmetry.
    Description of the book Symmetry by Weyl, H., published by Princeton University Press. ... pup.princeton.edu/titles/
    865.html - 7k - Nov. 8, 2002


    Sponsored Link


    Symmetry Puzzle
    New free online puzzle illustrates
    the mathematics of symmetry.
    m759.freeservers.com/puzzle.
    html


    Quotation from Weyl's Symmetry:


    "Symmetry is a vast subject, significant in art and nature. Mathematics lies at its root, and it would be hard to find a better one on which to demonstrate the working of the mathematical intellect."


    In honor of Princeton University, of Sylvia Nasar (see entries of Nov, 6), of the Presbyterian Church (see entry of Nov. 8), and of Professor Weyl (whose work partly inspired the website Diamond Theory), this site's background music is now Pink Floyd's








    "Shine On, 
       You Crazy Diamond."
       

     


    Updates of Friday, November 15, 2002:


    In order to clarify the meaning of "Shine" and "Crazy" in the above, consult the following --



    To accompany this detailed exegesis of Pink Floyd, click here for a reading by Marlon Brando.


    For a related educational experience, see pages 126-127 of The Book of Sequels, by Henry Beard, Christopher Cerf, Sarah Durkee, and Sean Kelly (Random House paperback, 1990).


    Speaking of sequels, be on the lookout for Annie Dillard's sequel to Teaching a Stone to Talktitled Teaching a Brick to Sing.

  • Religious Symbolism
    at Princeton


    In memory of Steve McQueen ("The Great Escape" and "The Thomas Crown Affair"... see preceding entry) and of Rudolf Augstein (publisher of Der Spiegel), both of whom died on November 7 (in 1980 and 2002, respectively), in memory of the following residents of


    The Princeton Cemetery
    of the Nassau Presbyterian Church
    Established 1757






    SYLVIA BEACH (1887-1962), whose father was pastor of the First Presbyterian Church, founded Shakespeare & Company, a Paris bookshop which became a focus for struggling expatriate writers. In 1922 she published James Joyce's Ulysses when others considered it obscene, and she defiantly closed her shop in 1941 in protest against the Nazi occupation.


    KURT GÖDEL (1906-1978), a world-class mathematician famous for a vast array of major contributions to logic, was a longtime professor at the Institute for Advanced Study, founded in 1930. He was a corecipient of the Einstein Award in 1951.


    JOHN (HENRY) O'HARA (1905-1970) was a voluminous and much-honored writer. His novels, Appointment in Samarra (1934) and Ten North Frederick (1955), and his collection of short stories, Pal Joey (1940), are among his best-known works.


    and of the long and powerful association of Princeton University with the Presbyterian Church, as well as the theological perspective of Carl Jung in Man and His Symbols, I offer the following "windmill," taken from the Presbyterian Creedal Standards website, as a memorial:



    The background music Les Moulins de Mon Coeur, selected yesterday morning in memory of Steve McQueen, continues to be appropriate.


    "A is for Anna."
    -- James Joyce

  • 16 Years Ago Today:


    Endgame



    Metaphor for Morphean morphosis,
    Dreams that wake, transform, and die,
    Calm and lucid this psychosis,
    Joyce's nightmare in Escher's eye.


    At the end there is a city
    With cathedral bright and sane
    Facing inward from the pity
    On the endgame's wavy plane.


    Black the knight upon that ocean,
    Bright the sun upon the king.
    Dark the queen that stands beside him,
    White his castle, threatening.


    In the shadows' see a bishop
    Guards his queen of love and hate.
    Another move, the game will be up;
    Take the queen, her knight will mate.


    The knight said "Move, be done.  It's over."
    "Love and resign," the bishop cried.
    "When it's done you'll stand forever
    By the darkest beauty's side."


    Dabo claves regni caelorum.  By silent shore
    Ripples spread from castle rock.  The metaphor
    For metamorphosis no keys unlock.


    -- Steven H. Cullinane, November 7, 1986


    Accompaniment from
    "The Thomas Crown Affair":
    Michel Legrand, "Les Moulins de Mon Coeur"


    Lyrics by Eddy Marnay:


    Comme une pierre que l'on jette
    Dans l'eau vive d'un ruisseau
    Et qui laisse derrière elle
    Des milliers de ronds dans l'eau....

  • The Times They Are A-Changin'


    Trivia quiz on tonight's "West Wing" --


    What do you feed a stolen goat?

  • Today's birthdays: Mike Nichols and Sally Field.






    Who is Sylvia?
    What is she? 


    From A Beautiful Mind, by Sylvia Nasar:


    Prologue


    Where the statue stood
    Of Newton with his prism and silent face,
    The marble index of a mind for ever
    Voyaging through strange seas of Thought, alone.
    -- WILLIAM WORDSWORTH

    John Forbes Nash, Jr. -- mathematical genius, inventor of a theory of rational behavior, visionary of the thinking machine -- had been sitting with his visitor, also a mathematician, for nearly half an hour. It was late on a weekday afternoon in the spring of 1959, and, though it was only May, uncomfortably warm. Nash was slumped in an armchair in one corner of the hospital lounge, carelessly dressed in a nylon shirt that hung limply over his unbelted trousers. His powerful frame was slack as a rag doll's, his finely molded features expressionless. He had been staring dully at a spot immediately in front of the left foot of Harvard professor George Mackey, hardly moving except to brush his long dark hair away from his forehead in a fitful, repetitive motion. His visitor sat upright, oppressed by the silence, acutely conscious that the doors to the room were locked. Mackey finally could contain himself no longer. His voice was slightly querulous, but he strained to be gentle. "How could you," began Mackey, "how could you, a mathematician, a man devoted to reason and logical proof...how could you believe that extraterrestrials are sending you messages? How could you believe that you are being recruited by aliens from outer space to save the world? How could you...?"

    Nash looked up at last and fixed Mackey with an unblinking stare as cool and dispassionate as that of any bird or snake. "Because," Nash said slowly in his soft, reasonable southern drawl, as if talking to himself, "the ideas I had about supernatural beings came to me the same way that my mathematical ideas did. So I took them seriously."


    What I take seriously:


    Introduction to Topology and Modern Analysis, by George F. Simmons, McGraw-Hill, New York, 1963 


    An Introduction to Abstract Harmonic Analysis, by Lynn H. Loomis, Van Nostrand, Princeton, 1953


    "Harmonic Analysis as the Exploitation of Symmetry -- A Historical Survey," by George W. Mackey, pp. 543-698, Bulletin of the American Mathematical Society, July 1980


    Walsh Functions and Their Applications, by K. G. Beauchamp, Academic Press, New York, 1975


    Walsh Series: An Introduction to Dyadic Harmonic Analysis, by F. Schipp, P. Simon, W. R. Wade, and J. Pal, Adam Hilger Ltd., 1990


    The review, by W. R. Wade, of Walsh Series and Transforms (Golubov, Efimov, and Skvortsov, publ. by Kluwer, Netherlands, 1991) in the Bulletin of the American Mathematical Society, April 1992, pp. 348-359


    Music courtesy of Franz Schubert.

  • Kylie on Tequila


    From a web page on Kylie Minogue:



    Turns out she's a party girl who loves Tequila:
    "Time disappears with Tequila.
    It goes elastic, then vanishes."


    From a web page on Malcolm Lowry's classic novel
    Under the Volcano



    The day begins with Yvonne’s arrival at the Bella Vista bar in Quauhnahuac. From outside she hears Geoffrey’s familiar voice shouting a drunken lecture this time on the topic of the rule of the Mexican railway that requires that  "A corpse will be transported by express!" (Lowry, Volcano, p. 43).









    Kylie



    Finney


     

    Well if you want to ride
    you gotta ride it like you find it.
    Get your ticket at the station
    of the Rock Island Line.

    -- Lonnie Donegan (d. Nov. 3)

    and others

     


     

    The Rock Island Line's namesake depot 
    in Rock Island, Illinois

     

     

    See also the preceding entry.

  • Back to You, Kylie


    From the 440 International Archives:


    1988 - And speaking of music trivia (thanks to http://www.rockdate.co.uk Rockdate Diary): "The Loco-Motion", by Kylie Minogue hit #4 on the "Billboard Hot 100" this day, the song became the first to reach the top-5 in the U.S. for three different artists (Little Eva in 1962, Grand Funk in 1974).


    Click here for a nicely done vibraphone-midi version of "Locomotion."  To honor Kylie's unforgettable video of that classic, this site's music is now one of my childhood favorites.



    Kylie, 1988


    Down by the Station


    Down by the station early in the morning,
    See the little puffer bellies all in a row.
    See the engine driver pull the little throttle:
    Puff, puff, Toot! Toot! Off we go!


    As Sinatra said,
    "Whatever gets you through the night, baby."

  • Music to Read By


    In honor of Roger Cooke's review of Helson's Harmonic Analysis, 2nd Edition, today's site music is "Moonlight in Vermont."