Log24

Tuesday, March 31, 2020

The Screwtape Bishop

Filed under: General — Tags: , — m759 @ 8:30 AM

Patrick Joseph McKinney is the 10th Bishop of Nottingham.
His appointment was announced on 14 May 2015 by Pope Francis.”
Wikipedia

Related material from this  journal on the date the Pope
appointed the Screwtape Bishop

Obit et Orbit  continues.

Sunday, February 9, 2020

Hors d’Oeuvre

Filed under: General — Tags: , , , — m759 @ 1:29 PM

From the May Day 2016 link above, in "Sunday Appetizer from 1984"

The 2015 German edition of Beautiful Mathematics ,
a 2011 Mathematical Association of America (MAA) book,
was retitled Mathematische Appetithäppchen —
Mathematical Appetizers . The German edition mentions
the author's source, omitted in the original American edition,
for his section 5.17, "A Group of Operations" (in German,
5.17, "Eine Gruppe von Operationen") —  

Mathematische Appetithäppchen:
Faszinierende Bilder. Packende Formeln. Reizvolle Sätze

Autor: Erickson, Martin —

"Weitere Informationen zu diesem Themenkreis finden sich unter

http://​www.​encyclopediaofma​th.​org/
​index.​php/​Cullinane_​diamond_​theorem

und

http://​finitegeometry.​org/​sc/​gen/​coord.​html ."

That source was a document that has been on the Web
since 2002. The document was submitted to the MAA
in 1984 but was rejected. The German edition omits the
document's title, and describes it as merely a source for
"further information on this subject area."

From the Gap Dance link above, in "Reading for Devil's Night" —

Das Nichts nichtet.” — Martin Heidegger.

And "Appropriation Appropriates."

Friday, February 7, 2020

Correspondences

Filed under: General — Tags: , — m759 @ 1:05 PM

The 15  2-subsets of a 6-set correspond to the 15 points of PG(3,2).
(Cullinane, 1986*)

The 35  3-subsets of a 7-set correspond to the 35 lines of PG(3,2).
(Conwell, 1910)

The 56  3-subsets of an 8-set correspond to the 56 spreads of PG(3,2).
(Seidel, 1970)

Each correspondence above may have been investigated earlier than
indicated by the above dates , which are the earliest I know of.

See also Correspondences in this journal.

* The above 1986 construction of PG(3,2) from a 6-set also appeared
in the work of other authors in 1994 and 2002 . . .

Addendum at 5:09 PM suggested by an obituary today for Stephen Joyce:

See as well the word correspondences  in 
"James Joyce and the Hermetic Tradition," by William York Tindall
(Journal of the History of Ideas , Jan. 1954).

Thursday, January 23, 2020

Columbus Day 2004

Filed under: General — Tags: , , — m759 @ 2:02 PM

A followup to the previous post:

Related material — A web page on chess cached for use in a
Log24 post on the date of the above post, Columbus Day, 2004.

Obit et Orbit Continues.

Filed under: General — Tags: , , — m759 @ 2:02 AM

Obit et Orbit.

In memoriam

"Doug co-founded the Secure Machine Learning research group
in 2004, focused on defining how adversaries can influence and
manipulate machine learning algorithms and how to make them
robust against such attacks, culminating in a recently published
book, Adversarial Machine Learning , with a colleague and two
former students." 

Friday, January 17, 2020

Design Theory

Filed under: General — Tags: , — m759 @ 12:57 PM

On a recently deceased professor emeritus of architecture
at Princeton —

"… Maxwell  'established the school as a principal
center of design research, history and theory.' ”

"This is not the Maxwell you're looking for."

Orbits and Stabilizers

Filed under: General — Tags: — m759 @ 12:00 PM

Sure it does.

See as well, in yesterday's Cornfield post, Plato on
tolerating "the presence of untruth." That not one
of the 29 (as of today) comments on Gowers's post
mentions the above presence of untruth is itself a
comment on the culture of the Academy.

Thursday, January 16, 2020

NowHere

Filed under: General — Tags: , — m759 @ 10:10 PM

The title is suggested by the word "NowHere" on a map
that I encountered in a personal weblog post tonight.

Related Google search —

Et cetera, et cetera, et cetera.

The Dreaming Jewels of J. R. R. Tolkien

Filed under: General — Tags: — m759 @ 4:57 PM

See also Silmarils and, in this  journal, The Dreaming Jewels 

A Very Stable Cornfield

Filed under: General — Tags: , , — m759 @ 3:28 PM

"We show deeper implications of this simple principle,
by establishing a connection with the interplay
of orbits and stabilizers of group actions."

See also Dark Fields , a post featuring a work of philosophy
translated, reportedly, by one "Francis MacDonald Cornfield"

Signs Movie Stills: Mel Gibson, Joaquin Phoenix, Patricia Kalember, M. Night Shyamalan

Monday, December 23, 2019

Orbit

Filed under: General — Tags: , — m759 @ 7:34 PM

"December 22, the birth anniversary of India’s famed mathematician
Srinivasa Ramanujan, is celebrated as National Mathematics Day."
Indian Express  yesterday

"Orbits and stabilizers are closely related." — Wikipedia

Symmetries by Plato and R. T. Curtis —

Counting symmetries with the orbit-stabilizer theorem

In the above, 322,560 is the order 
of the octad stabilizer group .

Obit

Filed under: General — Tags: , , — m759 @ 8:16 AM

See as well the previous post and Pacific Science Institute.

Saturday, December 13, 2003

Saturday December 13, 2003

Filed under: General,Geometry — Tags: — m759 @ 2:02 PM

We Are the Key:
The Shining of December 13

For James and Lucia Joyce

In the Orbit of Genius —
TIME, Dec. 1, 2003
:

"Once, when her mother asked if Joyce should visit her in the sanatorium, Lucia said, 'Tell him I am a crossword puzzle, and if he does not mind seeing a crossword puzzle, he is to come out.' "

Compare and contrast
with Finnegans Wake

From Roger Zelazny's Eye of Cat:

"A massive, jaguarlike form with a single, gleaming eye landed on the vehicle's hood forward and to the front.  It was visible for but an instant, and then it sprang away. The car tipped, its air cushion awry, and it was already turning onto its side before he left the trail.  He fought with the wheel and the attitude control, already knowing that it was too late.  There came a strong shock accompanied by a crunching noise, and he felt himself thrown forward.

DEADLY, DEADLY, DEADLY…
Kaleidoscope turning… Shifting  pattern within unalterable structure… Was it a mistake? There is pain with the power…  Time's friction at the edges…  Center loosens, forms again elsewhere…  Unalterable?  But – Turn outward.  Here songs of self erode the will till actions lie stillborn upon night's counterpane.  But – Again the movement…  Will it hold beyond a catch of moment?  To fragment…  Not kaleidoscope.  No center.  But again… To form it will.  To will it form.  Structure… Pain…  Deadly, deadly…  And lovely.  Like a sleek, small dog… A plastic statue… The notes of an organ, the first slug of gin on an empty stomach… We settle again, farther than ever before… Center. The light!… It is difficult being a god. The pain. The beauty. The terror of selfless –  Act!  Yes. Center, center, center… Here? Deadly…

necess yet again from bridge of brainbow oyotecraven stare decesis on landaway necessity timeslast the arnings ent and tided turn yet beastfall nor mindstorms neither in their canceling sarved cut the line that binds ecessity towarn and findaway twill open pandorapack wishdearth amen amenusensis opend the mand of min apend the pain of durthwursht vernichtung desiree tolight and eadly dth cessity sesame

We are the key."

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