Log24

Thursday, May 9, 2024

Raiders of the Unifying Theory

Filed under: General — Tags: , , , — m759 @ 4:38 am

Halle Berry as Rosetta Stone:

Halle Berry as Rosetta Stone

From Tablet Magazine  on Monday, May 6, 2024 . . .

<div class="BlockContent col-12 lg:col-10 xl-wide:col-8 mxauto">
<p>Thus do we find ourselves in a regular 
<a href="https://www.youtube.com/watch?v=4ToUAkEF_d4">
lattice of coincidence</a>.</p></div>

That link leads to . . .

Those who prefer Sting's approach to synchronistic theory may
consult this  journal on the above YouTube date — Dec. 1, 2008.

For Rosetta Fans

Filed under: General — Tags: , , — m759 @ 2:48 am

Halle Berry as Rosetta Stone

Halle Berry as Rosetta Stone.

Related reading . . .

Wednesday, May 8, 2024

An Antidote to Quanta Magazine

Filed under: General — Tags: , , — m759 @ 2:38 am

From Quanta Magazine  on Monday, May 6, 2024, in
"A Rosetta Stone for Mathematics," by Kevin Hartnett —

" Then he came to the main point of his letter:
He was building such a bridge. He wrote,
'Just as God defeats the devil: this bridge exists.'

The bridge that Weil proposed
is the study of finite fields…."

This is damned nonsense.

From Log24 on June 23, 2005

In “A 1940 Letter of André Weil on Analogy in Mathematics,” (pdf), translated by Martin H. Krieger, Notices of the A.M.S., March 2005, Weil writes that

“The purely algebraic theory of algebraic functions in any arbitrary field of constants is not rich enough so that one might draw useful lessons from it. The ‘classical’ theory (that is, Riemannian) of algebraic functions over the field of constants of the complex numbers is infinitely richer; but on the one hand it is too much so, and in the mass of facts some real analogies become lost; and above all, it is too far from the theory of numbers. One would be totally obstructed if there were not a bridge between the two.  And just as God defeats the devil: this bridge exists; it is the theory of the field of algebraic functions over a finite field of constants….

On the other hand, between the function fields and the ‘Riemannian’ fields, the distance is not so large that a patient study would not teach us the art of passing from one to the other, and to profit in the study of the first from knowledge acquired about the second, and of the extremely powerful means offered to us, in the study of the latter, from the integral calculus and the theory of analytic functions. That is not to say that at best all will be easy; but one ends up by learning to see something there, although it is still somewhat confused. Intuition makes much of it; I mean by this the faculty of seeing a connection between things that in appearance are completely different; it does not fail to lead us astray quite often. Be that as it may, my work consists in deciphering a trilingual text {[cf. the Rosetta Stone]}; of each of the three columns I have only disparate fragments; I have some ideas about each of the three languages: but I know as well there are great differences in meaning from one column to another, for which nothing has prepared me in advance. In the several years I have worked at it, I have found little pieces of the dictionary. Sometimes I worked on one column, sometimes under another.”

Quanta Magazine's statement:

"The bridge that Weil proposed
is the study of finite fields…."

Here "the study of finite fields" is a contemptibly distorted
dumbing-down of Weil's phrase

"the theory of the field of algebraic functions
over a finite field of constants."

For that  topic, see (for instance) . . .

Update at 5:35 PM ET —A different reaction to the Hartnett article —

Art Grid: A Fulcrum for Pullman

Filed under: General — Tags: , — m759 @ 1:03 am

"The bride hath paced into the hall,
Red as a rose is she;
Nodding their heads before her goes
The merry minstrelsy."

Samuel Taylor Coleridge

Tuesday, May 7, 2024

Raiders of the Lost Cubes

Filed under: General — Tags: — m759 @ 5:22 pm

Design and Logos:  March 13, 2024

Filed under: General — Tags: — m759 @ 9:33 am

See as well this  journal on the above logo-design date —

March 13, 2024:  Rearranging the Deck Chairs.

ABC Art News

Filed under: General — Tags: — m759 @ 8:34 am

Monday, May 6, 2024

Game for a Language Animal:  Found in Translation

Filed under: General — Tags: — m759 @ 8:38 am

This seems to imply that Stone's real name is . . .

"I can't do it anymore."

Perhaps she would enjoy a song based on the alleged last words
of Picasso:  "Ya no lo puedo hacer," or "Yanolo" for short.

For art fans, some images from the the above Mirador de les arts  date —

Fulcrum

Filed under: General — Tags: — m759 @ 5:56 am

Sunday, May 5, 2024

Nonbinarying*

Filed under: General — m759 @ 9:54 pm

* Related philosophy:  ternary.space . . .

Off and On

Filed under: General — Tags: — m759 @ 7:17 pm

Earlier . . .

Opus Pistoris*

Filed under: General — Tags: , , — m759 @ 5:50 pm

* Title derived from the original title, Opus Pistorum , of
Under the Roofs of Paris, by Henry Miller.  In Latin, that
title means Opus "of the millers," or "of the bakers."

This post was suggested by the April 25 death of a French cultural figure
reported today by The New York Times .

Related reading —

Miller Girl

Filed under: General — Tags: , — m759 @ 9:45 am

Saturday, May 4, 2024

Calvinist Severity

Filed under: General — Tags: — m759 @ 9:36 pm

"Mr. Stella, a formalist of Calvinist severity, rejected
all attempts to interpret his work."

— William Grimes of the New York Times
on artist Frank Stella, who reportedly died today.

See related remarks in this  journal.

What Lies Between

Filed under: General — Tags: — m759 @ 9:51 am

"I perceived . . . cinema is that which is between things,
not things [themselves] but between one and another."

— Jean-Luc Godard, "Introduction à une véritable histoire
du cinéma
," Albatros , Paris, 1980, p. 145

Log24 on 10 Dec. 2008

Road sign with double arrow pointing both left and right

Log24 on 12 Dec. 2008

Froebel's third gift, the eightfold cube

Between  the two image-dates above . . .

" 'The jury is still out on how long – and whether – people are actually
going to understand this.'  It took the world 150 years to realize
the true power of the printing press . . . ."  — Cade Metz

The Showalter Letter

Filed under: General — m759 @ 2:24 am

Wikipedia on the director of Anne Hathaway's new film "The Idea of You" —

"[Michael] Showalter was born in Princeton, New Jersey, the son of
Elaine Showalter (née Cottler), an author, feminist literary critic,
and professor of English, and English Showalter, a Yale-educated
professor of 18th century French literature. His father is Episcopalian
and his mother is Jewish."

See also Elaine  Showalter in this journal on "O for Ophelia."

"But the tigers come at night . . ." — Anne Hathaway as Fantine

Night of the Limbic Lizard

Filed under: General — Tags: , — m759 @ 12:26 am

Friday, May 3, 2024

Another Day, Another Trailer

Filed under: General — Tags: , , , , — m759 @ 11:18 pm

But first, a word from our sponsa

Miller Class: The Screws

Filed under: General — Tags: — m759 @ 9:32 pm

Related entertainment . . .

A Warren Area High School Key Club IG post of Nov. 10, 2023, and,
on that same date . . .

Logos:  Four Columns

Filed under: General — Tags: — m759 @ 2:48 pm

http://www.log24.com/log/pix11/110304-MathChurchSm.gif

Former  logo of the American
Mathematical Society —
Note the resemblance to
Harvard's Memorial Church.

A rather different four-column logo —

Ring Time

Filed under: General — m759 @ 1:46 pm

From a Log24 post of 15 May 2003

"In the spring time,
    the only pretty ring time . . . ."

Related material —

The previous post and . . .

Some related mathematics —

http://m759.net/wordpress/?s=Seidel .

Thursday, May 2, 2024

The Dead Language

Filed under: General — m759 @ 6:26 pm

Hitchcock Studios

Filed under: General — Tags: — m759 @ 5:54 pm

The New York Times  today reports the death at 90 of
Peggy Mellon Hitchcock, who arranged for Timothy Leary's
accomodation at the Hitchcock Estate, on April 9, 2024 . . .

Also on April 9 —

A rather different Hitchcock image —

This is from a Log24 search for Hitchcock Cube.

"Before time began . . ." — Optimus Prime.

AI on Diamond Theory

Filed under: General — Tags: — m759 @ 1:55 am

The website PopAi.pro uses GPT-4 to summarize documents from the Web.

Input at PopAi on May 2, 2024:

The URL "http://www.log24.com/log/Diamond_Theory-1976-pp-1-12.pdf"

Output at PopAi, after a quick reading and analysis by GPT-4:

Diamond_Theory-1976-pp-1-12.pdf

12 Pages

The document appears to be an excerpt from a preprint titled "Diamond Theory" by Steven H. Cullinane, dated 1976. The text discusses theoretical aspects of matrices composed of geometric figures, focusing on properties related to symmetry, permutations, and abstract structure.

Main Concepts and Definitions:

The author introduces the concept of a "geometric matrix," a matrix whose elements are geometric figures, specifically triangular subsets of a square. He defines a "diamond" as a foursquare matrix with triangular elements. The text details the remarkable properties of a diamond-like matrix D, including its symmetrical behavior under various permutations of elements, rows, columns, and sub-squares. Additionally, the text addresses the algebraic properties of matrices by relating their elements to those of a finite field.

Theoretical Properties and Theorems:

Several key theorems are proposed, demonstrating the structural properties of matrices. One fundamental theorem states that any matrix from a set F can be expressed as a linear combination of block matrices. Other theorems delve into the regularity of matrices, defining a matrix as "regular" if it remains unchanged or converts to its complement under certain flips and rotations. The text also describes the process of forming a "normal" matrix and the conditions under which matrices can be considered plaid or normal based on the behavior of their block maps and regularities.

Applications and Miscellaneous Problems:

The author reflects on the discovery of these properties during the process of creating an abstract painting and extends the exploration to include various types of matrices such as cyclic, quadratic, and skew foursquares. The document concludes with miscellaneous problems and an addendum on generalized matrix multiplication, suggesting further research directions and applications of the theory presented.

In summary, "Diamond Theory" presents an intricate analysis of the structural and algebraic properties of matrices composed of geometric shapes, with implications for other mathematical domains. The work is a blend of geometry and abstract algebra, providing a foundation for understanding the symmetry and transformations of matrices with an artistic origin.

Some questions you may ask:

What properties of the diamond-like matrix D did the author discover in 1975?

What is the relationship between the properties of D and the four group according to the document?

How does the document define a 'good set' of four black and white geometric figures?

What theorem is used to explain the behavior of superimposing two members of Mn(F) according to the document?

Wednesday, May 1, 2024

In Memory of Duane Eddy . . .

Filed under: General — m759 @ 5:03 pm

Ragtime Roll for Calle Guerrero*

Filed under: General — m759 @ 3:42 pm

* See that Cuernavaca street in a Log24 search for Ragtime.

Microsoft Classic Paint: Tools and Shapes

Filed under: General — Tags: , — m759 @ 2:37 pm

What a difference an “e” makes.

Filed under: General — Tags: — m759 @ 12:14 pm

Auster:  The Music of Chance.

Austere:  Iacta Est.

Image: 500 × 600

Filed under: General — Tags: — m759 @ 1:51 am

Update at 2:12 AM ET —

Auster was a director of the film "Blue in the Face" (1995).
This suggests a look at Instagram posts from yesterday:

Walpurgisnacht Invitation

Filed under: General — Tags: , — m759 @ 1:01 am

Wednesday, April 30, 2014

Review

Filed under: General — m759 @ 7:28 am

Some background for a recent photo
by Josefine Lyche:

The Boys from Uruguay and Witch Ball.

Tuesday, April 30, 2024

Roman Spring:  Latin Numerology

Filed under: General — Tags: , , — m759 @ 1:02 pm

Tools and Shapes for a Hallucinator

Filed under: General — Tags: — m759 @ 9:54 am

Vuelo de Brujas

Filed under: General — Tags: — m759 @ 2:00 am

"Ay, que bonito es volar . . ." — Song lyric.

And, for a somewhat different audience —

See also  this  journal on the above YouTube date — Aug. 23, 2014 —
in a Log24 search for "Signifying Nothing.
"

Block Maps: Concinnitas

Filed under: General — m759 @ 1:08 am

1976 . . .

Later . . .

Monday, April 29, 2024

Annals of Entertainment

Filed under: General — Tags: — m759 @ 6:15 pm

Miller’s Class:  The Big Sur Game

Filed under: General — Tags: , , — m759 @ 5:35 pm

Meanwhile . . .

The USC Game

Filed under: General — Tags: , — m759 @ 2:25 pm

Sunday, April 28, 2024

Fleetwood Jumanji

Filed under: General — Tags: , — m759 @ 10:51 pm

The Ballad of Ominous Music

Filed under: General — Tags: — m759 @ 10:17 pm

Emily (Stone) in Paris

Filed under: General — Tags: , , , — m759 @ 2:18 pm

Related reading . . . Annals of Journalism

NY Times Archive: Miller's Paris Roofs, Steve Martin's Two Brains, and Psycho II

Emily’s Gap Turn-On

Filed under: General — Tags: , — m759 @ 12:04 pm

Minding the Gap

Filed under: General — Tags: , — m759 @ 1:38 am

A design note from April 24 ten years ago —

A rather different design note from the same date ten years ago —

Saturday, April 27, 2024

“Some day I’ll find it, the Rainbow Connection” — Song lyric

Filed under: General — m759 @ 3:29 pm

" The first Initiation consisted of a class of 171 young women
on April 6, 1922, in the auditorium of the Scottish Rite Temple
in McAlester, Oklahoma. The original name was 'Order of the
Rainbow for Girls.' " — Wikipedia

A Storyteller’s Ending

Filed under: General — m759 @ 1:08 am

Cynthia Ozick discusses the life and death of Philip Roth —

Her discussion ends with remarks on Roth's last novel, Nemesis .

That novel was reportedly published on October 5, 2010.

This  journal on that date —

Friday, April 26, 2024

The Long Strange Walk Back

Filed under: General — Tags: , — m759 @ 6:50 pm

Young Natalie Portman in today's previous post

"Think I'll go for a walk."

Walking back 10 years . . .

For Professional Hallucinators:  Little Miss MacGuffin

Filed under: General — Tags: , — m759 @ 4:10 pm

For a professional  transformer, see posts tagged Claude.ai

Whanganui* Guidance Suggested

Filed under: General — Tags: — m759 @ 2:50 pm

* For the title, see posts tagged Whanganui, with a supplementary
tune for  X  producer Sam Levinson . . .

"Whose barn, what barn, my barn" — Song lyric

Freeplay

Filed under: General — Tags: — m759 @ 12:25 pm

"No doubt that by orienting and organizing the coherence
of the system, the center of a structure permits the Freeplay
of its elements inside the total form."

— Derrida in Wikipedia
 

"How's tricks, dangerous love triangle?"

 

The Source:

 

Related reading . . .

Krapp for HYDRA

Twisted Sister

Filed under: General — Tags: , — m759 @ 11:03 am

Ballad

Filed under: General — Tags: , , , — m759 @ 1:47 am

“Oh-oh, climb a mountain and turn around.”

Filed under: General — Tags: , , — m759 @ 12:44 am

http://m759.net/wordpress/?s="Cold+Mountain"

Thursday, April 25, 2024

Claude Rains.

Filed under: General — Tags: — m759 @ 5:31 pm

Claude Rains.

Claude.ai is the source.

Bucharest Quest

Filed under: General — m759 @ 3:42 pm
 

"On Thursday, October 10, 2019, the University of Bucharest awarded the honorary title of Doctor Honoris Causa to one of the most important specialists in political science, Professor Daniel Chirot, professor at the "Henry M. Jackson" School of International Studies at the University of Washington, for his entire didactic and scientific activity. Through this distinction, awarded at the proposal of the Faculty of Political Sciences, Professor Daniel Chirot became a member of the academic community of the University of Bucharest." — From the University's website.

Chirot was a resident of Hurlbut Hall at Harvard, as was I,
in the academic year 1960-1961.

This  journal the day after the Chirot award . . .

See also Bucharest in this  journal.

Space Trace

Filed under: General — Tags: — m759 @ 3:08 pm

The title "Space Trace" was suggested yesterday by Claude.ai.

How classical space leaves a Galois trace:

IMAGE- The large Desargues configuration and Desargues's theorem in light of Galois geometry

 

Time and Chance

As for time … See this journal on the above Sting date.

A professional hallucinator that
some will find more entertaining:

Wednesday, April 24, 2024

Plan 9 for Helen Vendler

Filed under: General — Tags: — m759 @ 8:29 pm

Poetry critic Helen Vendler reportedly died yesterday at 90.

Annals of Numerology

Filed under: General — Tags: , , — m759 @ 5:16 pm

The number 1949 in the previous post suggests a musical review —

From an August 23 nine years later . . . A tune for Sam Levinson —

Hair

Filed under: General — Tags: — m759 @ 4:59 pm

Tuesday, April 23, 2024

Consolation

Filed under: General — Tags: — m759 @ 8:16 pm

Golden Keys

Filed under: General — Tags: — m759 @ 7:55 pm

“Chess problems are the
hymn-tunes of mathematics.”
— G. H. Hardy,
A Mathematician’s Apology

The image “http://www.log24.com/log/pix04A/041010-Hardy2.jpg” cannot be displayed, because it contains errors.
The image “http://www.log24.com/log/pix04A/041010-Mate2.jpg” cannot be displayed, because it contains errors.

Bogart and Lorre in 'Casablanca' with chessboard and cocktail

The key is the cocktail that begins the proceedings.”

– Brian Harley, Mate in Two Moves

"I named this script ocode and chmod 755'd it to make it executable…"

Software forum post on the OCR program Tesseract

Garfield, Dec. 4, 2008:  Mouse's Xmas bulb-lighting

From the author of
The Pearly Gates of Cyberspace:

"Like so many other heroes
 who have seen the light
 of a higher order…."

“Ready when you are, C. B.”

Filed under: General — m759 @ 5:16 pm

Black Squares Matter

Filed under: General — Tags: , — m759 @ 2:59 pm

Voyage of Discovery: “Now Heaven Knows”

Filed under: General — Tags: — m759 @ 1:42 pm

Matchless

Filed under: General — Tags: , — m759 @ 1:11 pm

Google search for 'affine transformations of a square array'

Perhaps it should.

Design from 1697

Design from 1514

"One of those bells that now
and then rings" — Song lyric

Drama for Taylor Camp: The Wachowski Illuminati

Filed under: General — Tags: — m759 @ 12:41 pm

Candle from Sense8, Season 1,  Episode 1: “Limbic Resonance” —

"Don't solicit for your sister, it's not nice." — Song lyric

Scent of a Hot Tin Roof

Filed under: General — Tags: , — m759 @ 1:55 am

Monday, April 22, 2024

Passover Service

Filed under: General — m759 @ 4:31 pm

From Post 500 —

http://m759.net/wordpress/?p=500

"You've got to be carefully taught." — Song lyric

Dimensions

Filed under: General — m759 @ 11:47 am

The dimensions of the "bricks" in the R. T. Curtis
"Miracle Octad Generator":  2×4.

For those who prefer narrative to mathematics . . .

Annals of American Beauty:
Sowing Confusion and Reaping …

Filed under: General — Tags: — m759 @ 11:11 am

Also reaping Kevin Spacey?

Definition

Filed under: General — m759 @ 9:58 am

Note, on the map of  Wyoming, Devil's Gate.

For Harlan Kane: The Brick Trick

Filed under: General — m759 @ 12:47 am

From a transcript of the film —

— You could be making a killing out there consulting, but you’re laying brick. Why?

— Because when I hold a brick in my hand, I know exactly what it is and what it will do.

Every single time.

Its form is its function.

That gives me peace.

The film is based on a novel of the same title, by an author,
Paul Lindsay, who reportedly died on September 1, 2011.

For some bricks of a different sort, see the "Miracle Octad Generator"
(MOG) of R. T. Curtis in this journal on Sept. 1, 2011 — September Morn.

Sunday, April 21, 2024

“As above, so below” … Art

Filed under: General — Tags: — m759 @ 9:33 pm

“As above, so below.”

Filed under: General — Tags: — m759 @ 11:52 am

Related reading: Theology for Storytellers.

Venezia Biennale Arte 2024

Filed under: General — Tags: — m759 @ 8:29 am

Saturday, April 20, 2024

Night Hunt … Continues.

Filed under: General — Tags: — m759 @ 9:13 pm

From posts tagged Night Hunt

"When the men on the chessboard
get up and tell you where to go . . ."

Quilt Geometry: The Crayola Version

Filed under: General — Tags: , — m759 @ 1:58 pm

Friday, April 19, 2024

Benchmarking Meta.ai

Filed under: General — Tags: — m759 @ 10:15 pm

Transcription —

(With one correction The Meta.ai phrase "the  group of 322,560"
was changed to " group of 322,560" and one addition — the
acronym MOG was defined. Superscript numerals for missing footnotes
were removed.)

You

What is the Cullinane diamond theorem?

Meta AI

The Cullinane diamond theorem states that every image of D (a 4×4 array of two-color diagonally divided square tiles) under the group G (a group of 322,560 permutations of these 16 tiles) has some ordinary or color-interchange symmetry.

Here are some key points about the theorem :

  • The theorem is related to the Miracle Octad Generator (MOG) of R. T. Curtis and the Leech lattice.
     
  • The underlying geometry of the 4×4 patterns is closely related to the construction of the Steiner system S(5,8,24).
     
  • The theorem uses a simple decomposition technique for functions into a finite field.
     
  • The symmetry group of order 322,560 underlies both the diamond theorem figures and the square patterns of the MOG.
     
  • The theorem has applications in finite projective geometry and the study of symmetric patterns.

Daniel Dennett Dies

Filed under: General — Tags: — m759 @ 7:37 pm

Hexagram 39:
Obstruction

   I Ching, Hexagram 39

The Judgment:

Obstruction. The southwest furthers.
(See Zenna Henderson.) 
The northeast does not further.
 (See Daniel Dennett.)

Graphic Design for Comedians:
The Old Carnegie Hall Joke

Filed under: General — Tags: , — m759 @ 12:07 pm

Related I Ching art —

For Harlan Kane and Jonathan Wingdings

Filed under: General — Tags: — m759 @ 10:08 am

http://m759.net/wordpress/?s="Design+Theory"

The Tortured Designers Department

Filed under: General — Tags: — m759 @ 9:23 am

"Who else decodes you?"Taylor Swift

Thursday, April 18, 2024

For St. Cecilia

Filed under: General — m759 @ 7:48 pm

Summer Solstice Entertainment, 2019

Filed under: General — Tags: , , — m759 @ 12:01 pm

Related Helen Mirren image . . .

Wednesday, April 17, 2024

Poetic Anthropology

Filed under: General — m759 @ 8:56 pm

Enquiring minds want to know . . .

Field Operative

Filed under: General — Tags: , , — m759 @ 1:19 pm

"Time for you to see the field." — Bagger Vance

Waxing the Dean

Filed under: General — m759 @ 12:21 pm

The Harvard Crimson  "an hour ago"

Philosophy Professor Sean Kelly To Serve as
Next Arts and Humanities Dean

"Kelly, a philosopher, holds degrees in mathematics and computer science,
and in cognitive and linguistic sciences. Over the course of his career,
he has taught both philosophy and neuroscience.

This story will be updated. "  (Log24 link to Kelly added).

My Education . . .

Hat tip to Groucho.

Maniac and Pythoness

Filed under: General — Tags: , , , — m759 @ 11:36 am

The image “http://www.log24.com/log/pix05B/051118-Laptop2.jpg” cannot be displayed, because it contains errors.

Tuesday, April 16, 2024

Deep Blue

Filed under: General — m759 @ 10:31 pm

The Pi Script

Filed under: General — Tags: , , — m759 @ 2:10 pm

The studios, now beholden to much larger companies and financial institutions, became subject to oversight focused on short-term horizons. This summer, I spoke with the head of a film and TV studio purchased by a private-equity firm in recent years. “It used to be there were these big, crusty, old legacy companies that had a longer-term view,” he said, “that could absorb losses, and could take risks. But now everything is driven by quarterly results. The only thing that matters is the next board meeting. You don’t make any decisions that have long-term benefits. You’re always just thinking about, ‘How do I meet my numbers?’ ” Efficiency and risk avoidance began to run the game.

— "The Life and Death of Hollywood:
Film and Television Writers Face an Existential Threat"
by Daniel Bessner in Harper's Magazine, May 2024 issue

Emma Watson turned 34 yesterday.

Filed under: General — Tags: , — m759 @ 12:46 pm

Related Hogwarts art —

Related I Ching art —

Monday, April 15, 2024

Art Space Meets Space Art

Filed under: General — Tags: — m759 @ 8:07 pm

Click for more World Art Day obituaries.

Art Markers

Filed under: General — Tags: — m759 @ 12:32 pm

https://doodles.google/doodle/celebrating-etel-adnan/

http://m759.net/wordpress/?s=Adnan

https://www.instagram.com/p/Ckv9qkrNtbp/?img_index=1

http://m759.net/wordpress/?tag=writers-block

Life of Pi:  Starting Over

Filed under: General — Tags: , — m759 @ 11:54 am

"You need to import the NumPy library at the beginning of your script."
Pi.ai yesterday

    Scene  from "The Hard Problem ," a play by Tom Stoppard.

“The Hard Problem” (A Tom Stoppard Play)

Filed under: General — Tags: — m759 @ 11:32 am

See also http://m759.net/wordpress/?s="Hard+Problem".

Sunday, April 14, 2024

Benchmarking Pi

Filed under: General — Tags: , , — m759 @ 3:30 pm

An example of pi.ai's clear and pleasant conversational style
(output format simplified for presentation here) —


Can you help with computer coding problems?
 

Absolutely, Steven! 💻 While I can't guarantee I'll have all the answers, 
I'll certainly do my best to help you debug and find solutions to your 
coding conundrums. Which coding language are you working with, and what's 
giving you trouble?

 
I want to learn how Python can permute sections of a square array.
 

There are several ways to permute sections of a square array in Python, 
depending on your specific needs. Here are a few examples:

Using NumPy's random.permutation() function:

python

    import numpy as np

    arr = np.array([[1, 2], [3, 4]])
    permuted_arr = np.random.permutation(arr)

 

    Using itertools.permutations():

python

    import itertools

    arr = [[1, 2], [3, 4]]
    permutations = list(itertools.permutations(arr))

 

Using custom permutation algorithms:

python

    def custom_permutation(arr):
        # your custom permutation logic here

    arr = [[1, 2], [3, 4]]
    permuted_arr = custom_permutation(arr)

Each method has its own strengths and weaknesses, and which one 
you choose will depend on the size of your array, the number of 
permutations you need, and your performance requirements.


I would like to use python's custom permutation method to permute 
the four quadrants of a 4×4 array.

 
Here's an example of how to define a custom permutation function 
in Python to permute the four quadrants of a 4×4 array:
 
python

    def custom_permutation(arr):
        # Split array into 4 quadrants
        q1 = arr[:2, :2]
        q2 = arr[:2, 2:]
        q3 = arr[2:, :2]
        q4 = arr[2:, 2:]

        # Permute quadrants
        permuted_arr = np.block([
            [q3, q1],
            [q4, q2]
        ])

        return permuted_arr

    # Sample 4x4 array
    arr = np.array([[1, 2, 3, 4],
                    [5, 6, 7, 8],
                    [9, 10, 11, 12],
                    [13, 14, 15, 16]])

    permuted_arr = custom_permutation(arr)
    print(permuted_arr)

In this example, we've defined a function custom_permutation() 
that takes a 4×4 NumPy array as input. The function splits the array 
into four quadrants (q1, q2, q3, and q4), and then uses NumPy's block() 
function to create a new array with the quadrants permuted. The 
resulting permuted_arr array has its quadrants rearranged.

Of course, this is just one possible permutation of the array's quadrants. 
You can modify the custom_permutation() function to implement other 
permutations as needed.
 

I tried the code you gave me and got the error “np name not defined.”
 

Apologies for that! I missed an import statement in the previous example. 
You need to import the NumPy library at the beginning of your script to 
use the np alias and its functions. Here's the corrected code:
 
python

    import numpy as np

    def custom_permutation(arr):
        # Split array into 4 quadrants
        q1 = arr[:2, :2]
        q2 = arr[:2, 2:]
        q3 = arr[2:, :2]
        q4 = arr[2:, 2:]

        # Permute quadrants
        permuted_arr = np.block([
            [q3, q1],
            [q4, q2]
        ])

        return permuted_arr

    # Sample 4x4 array
    arr = np.array([[1, 2, 3, 4],
                    [5, 6, 7, 8],
                    [9, 10, 11, 12],
                    [13, 14, 15, 16]])

    permuted_arr = custom_permutation(arr)
    print(permuted_arr)

This code should work now without any issues.

It did work. Thank you, Pi. 

You're very welcome, Steven! I'm glad the code worked for you. 
If you have any more questions or need help with anything else, 
feel free to ask.

Recline in Peace . . .

Filed under: General — Tags: , — m759 @ 10:30 am

http://m759.net/wordpress/?s=Ringgold .

Saturday, April 13, 2024

Still-Point Architecture

Filed under: General — Tags: — m759 @ 8:24 pm

… And who said "At the still point, there the dance is"?

From the Netflix series "3 Body Problem."

Something Old . . .

Filed under: General — Tags: , — m759 @ 11:59 am

See Zihuatanejo in this journal. 

Sombrero tip to a Venice Beach Space Barn* reporter for . . .

Space meditation at Zihuatanejo.

* Adapted song lyric: "Whose barn, what barn, her barn . . . ."

… Something New … Something Borrowed …

Filed under: General — Tags: , — m759 @ 9:51 am

… Something Blue

Friday, April 12, 2024

The Gambit Plan

Filed under: General — Tags: — m759 @ 11:47 pm

Citation — Lattanzio, Ryan (December 7, 2020). "After 'Queen's Gambit,'
Anya Taylor-Joy and Scott Frank Reuniting for Nabokov Adaptation"
.
IndieWire. — Wikipedia

Thanks for the warning.

See as well Scott Frank on chessboard space.

Carmel Review

Filed under: General — Tags: , , — m759 @ 3:08 pm

"Clint Eastwood, 93, appears frail but spirited
as he is seen in rare public appearance at
primatologist Dr. Jane Goodall event in Carmel"

— By Karen Ruiz For Dailymail.com
Published: 10:39 am EDT, 12 April 2024

The event, on Sunday, March 24, 2024, suggests a review —

 

'In the end the space itself is the star'— Gia Kourlas

Stephen King’s Garland

Filed under: General — m759 @ 2:23 pm

Related reading —

See also this  journal on the above Quora date — Sept. 10, 2017.

The Presbyterian Exorcist . . . Continues.

Filed under: General — m759 @ 1:02 pm

See as well Lester Crystal in Wikipedia.

Thursday, April 11, 2024

Mesmerization Nation

Filed under: General — Tags: , — m759 @ 12:12 pm

Devs:  Hollywood Development Hell

From The Man Who Knew Infinity to The Man Who Knew Zero.

Related mathematics:  The Diamond Theorem Correlation, which
results from interchanging infinity and zero in the figure below.

"Read something that means something."
                — New Yorker  ad

'Knight' octad labeling by the 8 points of the projective line over GF(7) .

   Click image for
   related posts.

Background — Relativity Problem in Log24.

Wednesday, April 10, 2024

Hollywood Benchmark: The Blue Monkey* Diamond

Filed under: General — Tags: , — m759 @ 3:58 pm

* The name "Blue Monkey" is from a 2003 film. See also Hanuman
in this journal.
The image described by Vertex AI is from IMDb

Folie à Quatre : A Four-Color Problem

Filed under: General — Tags: , , , , — m759 @ 12:40 pm

See as well, in this  journal, four colors.

Theater Obituary: Data and Metadata

Filed under: General — Tags: , — m759 @ 10:52 am

Data —

Metadata —

"Share link" —

https://g.co/kgs/uwczGLA

Tuesday, April 9, 2024

Physics Obituary

Filed under: General — Tags: — m759 @ 2:37 pm

The New York Times  today reports a Monday, April 8, 2024, death  —

Monday, April 8, 2024

Variation on a Geometry Exercise

Filed under: General — Tags: — m759 @ 8:50 pm

“Watch the Trailer!”

Filed under: General — Tags: — m759 @ 12:37 pm

Alexandria Quartets*

Filed under: General — Tags: , — m759 @ 11:57 am

Arrival at CERN

For my own arrival at CERN, see Zenodo in this journal.

* A title suggested by the work of Lawrence Durrell and by
geometric  quartets in figurate geometry.

Sunday, April 7, 2024

Annals of Complex Results: Miller’s Art

Filed under: General — Tags: — m759 @ 9:21 am

See as well Jonathan Miller in this  journal.

Saturday, April 6, 2024

Bosch Day at the Prado

Filed under: General — m759 @ 6:25 pm

Yesterday was Bosch Day at the Prado.

For Harry  Bosch . . .

"Welcome to the Garden Club, Pilgrim."

An Exercise in Figurate Geometry

Filed under: General — Tags: , — m759 @ 5:32 pm

Annals of Inexcusable Pythagorism

Filed under: General — Tags: , , — m759 @ 7:26 am

"To enlarge this contemplation unto all the mysteries and secrets,
accomodable unto this number, were inexcusable Pythagorism…."

— Sir Thomas Browne, Hydriotaphia: Urn Burial

Friday, April 5, 2024

Annals of Magic: The Browne-Franklin Configuration

Filed under: General — Tags: , — m759 @ 5:10 pm

Rite of Spring

Filed under: General — Tags: — m759 @ 9:30 am

https://r-a-w.net/artwork/le-sacre-du-printemps/ .

This post was suggested by . . .

. . . and by an Instagram link to an art museum in Denmark.

Annals of Random Fandom

Filed under: General — m759 @ 8:50 am

A search in Fandom for Saul Durand leads back,
as often happens, to Indiana Jones . . .

Fandom page with a completely irrelevant Indiana Jones video.

For Stephen King — The Retooling

Filed under: General — m759 @ 8:27 am

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