See also Shangri-La and “At the Back of the North Wind .”
Update from the Times —
“Some things that happen for the first time….” — Song lyric
See also Shangri-La and “At the Back of the North Wind .”
Update from the Times —
“Some things that happen for the first time….” — Song lyric
"I have now come to the most difficult part of my story."
"265" — Page number and centered square number
"153" — Triangular number (as noted by St. Augustine)
"265/153" — Object Lesson
An accurate description of such number lore:
"These are odd facts, very suitable for puzzle columns
and likely to amuse amateurs, but there is nothing
in them which appeals much to a mathematician.
The proofs are neither difficult nor interesting—
merely a little tiresome. The theorems are not serious;
and it is plain that one reason (though perhaps not the
most important) is the extreme speciality of both the
enunciations and the proofs, which are not capable of
any significant generalization." — G. H. Hardy
See also some remarks on figurate numbers in this journal.
Nothing went wrong at the back of the north wind. "What a queer place it must be!" "It's a very good place." "Do you want to go back again?" "No; I don't think I have left it; I feel it here, somewhere." "Did the people there look pleased?" "Yes— quite pleased, only a little sad." "Then they didn't look glad?" "They looked as if they were waiting to be gladder some day." |
Google has illuminated its search page today with a falling apple in honor of what it is pleased to call the birthday of Newton. (When Newton was born, the calendar showed it was Christmas Day, 1642; Google prefers to associate Sir Isaac with a later version of the calendar.) Some related observations–
A pair of book covers in honor of the dies natalis of T. S. Eliot–
|
Death and
the Apple Tree
Today's New York Times on the late "fifth Beatle" Neil Aspinall, who died Easter night in Manhattan:
"… he played tambura (an Indian drone instrument) on 'Within You Without You'."
Related material:
"Hanging from the highest limb
of the apple tree are
the three God's Eyes…"
"But what's beautiful can't be bad. You're not bad, North Wind?"
"No; I'm not bad. But sometimes beautiful things grow bad by doing bad, and it takes some time for their badness to spoil their beauty. So little boys may be mistaken if they go after things because they are beautiful." "Well, I will go with you because you are beautiful and good, too." "Ah, but there's another thing, Diamond:– What if I should look ugly without being bad– look ugly myself because I am making ugly things beautiful?– What then?" "I don't quite understand you, North Wind. You tell me what then." "Well, I will tell you. If you see me with my face all black, don't be frightened. If you see me flapping wings like a bat's, as big as the whole sky, don't be frightened. If you hear me raging ten times worse than Mrs. Bill, the blacksmith's wife– even if you see me looking in at people's windows like Mrs. Eve Dropper, the gardener's wife– you must believe that I am doing my work. Nay, Diamond, if I change into a serpent or a tiger, you must not let go your hold of me, for my hand will never change in yours if you keep a good hold. If you keep a hold, you will know who I am all the time, even when you look at me and can't see me the least like the North Wind. I may look something very awful. Do you understand?" "Quite well," said little Diamond. "Come along, then," said North Wind, and disappeared behind the mountain of hay. Diamond crept out of bed and followed her. — George MacDonald, |
“Mahlburg likens his approach to an analogous one for deciding whether a dance party has an even or odd number of attendees. Instead of counting all the participants, a quicker method is to see whether everyone has a partner—in effect making groups that are divisible by 2.
In Mahlburg’s work, the partition numbers play the role of the dance participants, and the crank splits them not into couples but into groups of a size divisible by the prime number in question. The total number of partitions is, therefore, also divisible by that prime.
Mahlburg’s work ‘has effectively written the final chapter on Ramanujan congruences,’ Ono says.
‘Each step in the story is a work of art,’ Dyson says, ‘and the story as a whole is a sequence of episodes of rare beauty, a drama built out of nothing but numbers and imagination.'”
— Erica Klarreich in Science News Online, week of June 18, 2005
This would seem to meet the criteria set by Fritz Leiber for “a story that works.” (See previous entry.) Whether the muse of dance (played in “Xanadu” by a granddaughter of physicist Max Born– see recent entries) has a role in the Dyson story is debatable.
Born Dec. 11, 1882, Breslau, Germany. Died Jan. 5, 1970, Göttingen, |
Max Born |
Those who prefer less abstract stories may enjoy a mythic tale by Robert Graves, Watch the North Wind Rise, or a Christian tale by George MacDonald, At the Back of the North Wind.
Related material:
“The valley spirit never dies. It’s named the mystic woman.”
For an image of a particular
incarnation of the mystic woman
(whether as muse, as goddess,
or as the White Witch of Narnia,
I do not know) see Julie Taymor.“Down in the valley,
valley so low,
hang your head over,
hear the wind blow.”“Which is the sound of the land
Full of the same wind
That is blowing in
the same bare placeFor the listener,
who listens in the snow,
And, nothing himself, beholds
Nothing that is not there
and the nothing that is.”
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