Note that if the "compact Riemann surface" is a torus formed by
joining opposite edges of a 4×4 square array, and the phrase
"vector bundle" is replaced by "projective line," and so forth,
the above ChatGPT hallucination is not completely unrelated to
the following illustration from the webpage "galois.space" —
See as well the Cullinane diamond theorem.
For the image at upper left below, see
https://www.google.com/doodles/celebrating-alan-rickman.
On the Rickman domain . . .
See as well "Stella Maris" in this journal.
"Even though he’s not currently part of a Star Wars movie,
Lindelof seems open to working on the franchise down the line.
'Will I get back in line outside the club and try to get back in again?
Of course,' he added. '[Star Wars ] was the alpha and the omega.
It’s the first movie I saw in a movie theater. I love all of the storytelling
in that world. If at first you don’t succeed, try, try again. Or again, again,
try, as Yoda would say.' ” — Jay Peters, The Verge , April 28, 2023
From this journal on 4/01, 2009:
The Cruelest Month —
"Langdon sensed she was toying with him…." — Dan Brown
Less playfully . . .
See also the show tune from the end of "Second Tree from the Corner,"
a classic New Yorker short story by E. B. White. (And related posts.)
"The history of the length of movies takes place in two dimensions—
on the axis of the ordinary and the axis of the extraordinary, or,
of the rule and the exception."
— Richard Brody, The New Yorker , April 24, "In Praise of the Long Movie."
The Ordinary —
The Extraordinary —
"You got your demons and you got desires
Well, I got a few of my own" — Song lyric
Click the above box for a related New Yorker article.
See also, in this journal, Baudelaire and Psychonauts.
From the previous post, "The Large Language Model,"
a passage from Wikipedia —
"… sometimes large models undergo a 'discontinuous phase shift'
where the model suddenly acquires substantial abilities not seen
in smaller models. These are known as 'emergent abilities,' and
have been the subject of substantial study." — Wikipedia
Compare and contrast
this with the change undergone by a "small space model,"
that of the finite affine 4-space A with 16 points (a Galois tesseract ),
when it is augmented by an eight-point "octad." The 30 eight-point
hyperplanes of A then have a natural extension within the new
24-point set to 759 eight-point octads, and the 322,560 affine
automorphisms of the space expand to the 244,823,040 Mathieu
automorphisms of the 759-octad set — a (5, 8, 24) Steiner system.
For a visual analogue of the enlarged 24-point space and some remarks
on analogy by Simone Weil's brother, a mathematician, see this journal
on September 8 and 9, 2022.
"… sometimes large models undergo a 'discontinuous phase shift'
where the model suddenly acquires substantial abilities not seen
in smaller models. These are known as 'emergent abilities,' and
have been the subject of substantial study." — Wikipedia
See also the first five episodes of "Mrs. Davis."
The reference to metaphysics in today's previous post
suggests a review of the phrase "logical point of view."
"Many of these same characters wonder whether
they are creating these special places anew, or
are merely finding places which already exist
(very much like 'the problem of universals' in
classical metaphysics)."
— Wikipedia article on author Roger Zelazny
Related material —
* For the title, see a story by Zelazny.
This journal on April 19, 2004 —
"Follow the fellow who follows a dream."
Melissa Errico
in Finian's Rainbow
"Give her a song like … 'Look to the Rainbow,'
and her gleaming soprano effortlessly flies it
into the stratosphere where such numbers belong.
This is the voice of enchantment…."
"Follow the fellow…." Or the girl.
See posts now tagged Birthday Girls
in honor of a Coachella Valley native
born on September 27, 2002.
"Born in 1965, James Wood grew up in Durham,
where his father lectured in zoology at the university.
He attended Durham choir school, where he was
a cathedral chorister, and Eton College, before
studying at Jesus College, Cambridge."
— The Independent , 19 April 2003.
* For the title, see Wikipedia.
For an illustration, see Jenna Ortega.
For Wood himself, see (for instance)
some Log24 posts.
"Bedknobs and Broomsticks is a 1971 American musical fantasy film
directed by Robert Stevenson and produced by Bill Walsh for
Walt Disney Productions. It is loosely based upon the books
The Magic Bedknob; or, How to Become a Witch in Ten Easy Lessons
(1944) and Bonfires and Broomsticks (1947) by English children's author
Mary Norton."
Glow with the Flow
"In the digital cafeteria where AI chatbots mingle,
Perplexity AI is the scrawny new kid ready to
stand up to ChatGPT, which has so far run roughshod
over the AI landscape. With impressive lineage, a wide
array of features, and a dedicated mobile app, this
newcomer hopes to make the competition eat its dust."
— Jason Nelson at decrypt.co, April 12, 2023
What Barnes actually wrote:
"The final scene — the death of Simone most movingly portrayed,
I understand, by Geraldine Librandi, for the program did not specify
names — relied on nothing but light gradually dying to a cold
nothingness of dark, and was a superb theatrical coup."
(Title suggested by recent episodes of "The Blacklist.")
"It's the system that matters.
How the data arrange
themselves inside it."
The Pynchon quote is from posts now tagged Map Systems.
See this journal on January 1, 2011, said to be the day that
an interesting Czech girl (see "Blue Czech Marks") turned 18.
* For the title, see an appealing 2013 fantasy starring Lily Collins.
Collins herself turned 18 on March 18, 2007.
“She never looked up while her mind rotated the facts,
trying to see them from all sides, trying to piece them
together into theory. All she could think was that she
was flunking an IQ test.”
— Steve Martin, An Object of Beauty
Byron Gogol is a tech magnate in the HBO series "Made for Love."
See also Mykonos in this journal and . . .
The logo of MUSE, the band —
A logo I prefer . . .
Related material from a post of October 2020 —
Related material from a post on the above Reddit date —
|
A Story That Works
“There is the dark, eternally silent, unknown universe;
and lastly, there is lonely, story-telling, wonder-questing, – Fritz Leiber in “The Button Molder“ |
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