Log24

Sunday, May 14, 2023

“The Structure of Space”

Filed under: General — Tags: , , , — m759 @ 1:44 am

The above title. by one Lee E. Mosley, is from 

"CreateSpace Independent Publishing Platform;
1st edition (June 4, 2017).
"

From the preface —

"So simple . . . ."

"Building blocks"? — See the literature of pop physics.

Natural companions to building blocks, are, of course, 
"permutation groups."

See the oeuvre  of physics writer John Baez —
For instance, in a Log24 post from the above Mosley
publication date — June 4, 2017 —

Thursday, April 6, 2023

Zero Sum

Filed under: General — Tags: — m759 @ 12:11 pm

'Galois Additions of Space Partitions'

Related elementary mathematics from Google image searches —

Despite the extremely  elementary nature of the above tables,
the difference between the binary addition of Boole and that
of Galois seems not to be widely known.

See "The Hunt for Galois October" and "In Memory of a Mississippi Coach."

Tuesday, December 13, 2022

In Memory of a Mississippi Coach

Filed under: General — Tags: , — m759 @ 1:10 pm

Remarks in memory of football coach Mike Leach of Mississippi State University

The "Boolean exclusive or" is the same as addition 
in the two-element Galois field GF(2).

Wednesday, October 26, 2022

The Hunt for Galois October

Filed under: General — Tags: , , — m759 @ 10:04 am

"… Évariste was born on October 25, 1811."
— Eric Temple Bell, Men of Mathematics

Related material — 

https://math.stackexchange.com/questions/1793035/
galois-field-of-order-2-constituting-a-boolean-algebra
 .

But seriously . . .

Friday, November 25, 2016

Priority

Filed under: General,Geometry — Tags: , , , — m759 @ 12:00 am

Before the monograph "Diamond Theory" was distributed in 1976,
two (at least) notable figures were published that illustrate
symmetry properties of the 4×4 square:

Hudson in 1905 —

Golomb in 1967 —

It is also likely that some figures illustrating Walsh functions  as
two-color square arrays were published prior to 1976.

Update of Dec. 7, 2016 —
The earlier 1950's diagrams of Veitch and Karnaugh used the
1's and 0's of Boole, not those of Galois.

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