Comments on: Tetra-lattices http://www.neverendingbooks.org/index.php/tetra-lattices.html lieven le bruyn's blog Fri, 20 Jan 2012 16:50:41 +0100 hourly 1 http://wordpress.org/?v=3.3.1 By: Doug http://www.neverendingbooks.org/index.php/tetra-lattices.html/comment-page-1#comment-3058 Doug Fri, 28 Sep 2007 11:25:34 +0000 http://www.neverendingbooks.org/?p=34#comment-3058 Hi Lieven, I have been reading electrical engineering [EE] mathematics. I may have found an example of an EE tetracode? This letter, Donghui Xu, ‘Hannay angle in an LCR circuit with time-dependent inductance inductance, capacity and resistance’, demonstrates the transformation from electromagnetic to Newtonian then Hamiltonian mechanics. [J Physics A: Math Gen, 35 (2002) L455-L457] http://www.iop.org/EJ/article/0305-4470/35/29/104/a229l4.pdf?request-id=wpJTyl1l3BGbNMHx2wi7Kg Why this may be a tetracode: 1 - slope - Hannay angle [mechanical] or Berry geometric phase [electrical] the other three digits [cyclically increase?] 2 - L [inductance] 3 - C [capacity] 4 - R [resistance] Note: I found your blog easier to read when there was black text on white background. I am unable to scroll the comments to read them entirely in MS internet explorer. Hi Lieven,

I have been reading electrical engineering [EE] mathematics.

I may have found an example of an EE tetracode?

This letter, Donghui Xu, ‘Hannay angle in an LCR circuit with time-dependent inductance inductance, capacity and resistance’, demonstrates the transformation from electromagnetic to Newtonian then Hamiltonian mechanics.
[J Physics A: Math Gen, 35 (2002) L455-L457]

http://www.iop.org/EJ/article/0305-4470/35/29/104/a229l4.pdf?request-id=wpJTyl1l3BGbNMHx2wi7Kg

Why this may be a tetracode:
1 – slope – Hannay angle [mechanical] or Berry geometric phase [electrical]
the other three digits [cyclically increase?]
2 – L [inductance]
3 – C [capacity]
4 – R [resistance]

Note:
I found your blog easier to read when there was black text on white background.
I am unable to scroll the comments to read them entirely in MS internet explorer.

]]> By: Doug http://www.neverendingbooks.org/index.php/tetra-lattices.html/comment-page-1#comment-2714 Doug Sat, 25 Aug 2007 15:40:40 +0000 http://www.neverendingbooks.org/?p=34#comment-2714 Hi Lievien, My perspective is sort of biophysio-mathematical [MD with math BA]. The tetracode, Golay code, etc appear to have a relation with nucleic acid codes and tetrode array neurophysiology. I do not have the skill to find a rigorous relation, but insightfully, physiology seems compatible with treatment as mathematical objects and game theory. I do not expect you to read, but list two sources for why I am interested in following your blog and commenting sometimes. 1 - Alexander Gutfraind, ‘Error-Tolerant Coding and the Genetic Code’ [186 page thesis, U-Waterloo-CA] http://www.cam.cornell.edu/~gfriend/docs/gutfraind.masters.thesis.pdf 2 - Experimental Methods of Adjustable Tetrode Array Neurophysiology, January (IAP) 2001 [MIT, 38 pages] http://ocw.mit.edu/NR/rdonlyres/Brain-and-Cognitive-Sciences/9-96Experimental-Methods-of-Adjustable-Tetrode-Array-NeurophysiologyJanuary--IAP-2001/C1E4A126-3B02-4298-B209-749C62BB34B7/0/996INTRO.pdf In reviewing your wiki note and self references: a - theta functions: "When generalized to a Grassmann algebra, they also appear in quantum field theory, specifically string theory and D-branes." Grassmann Algebra is prominent in electrical engineering [EE] through the Euler Identity and phasor equations. EE mathematical techniques [or tricks?] allow for dealing with discontinuities. b - taxicab number: the elliptic curve [p3] is very reminiscent of a recurved bow in ballistics. Euler was an expert in ballistics, knew about maxima and minima and was educated in physiology. Hi Lievien,

My perspective is sort of biophysio-mathematical [MD with math BA].

The tetracode, Golay code, etc appear to have a relation with nucleic acid codes and tetrode array neurophysiology. I do not have the skill to find a rigorous relation, but insightfully, physiology seems compatible with treatment as mathematical objects and game theory.

I do not expect you to read, but list two sources for why I am interested in following your blog and commenting sometimes.

1 – Alexander Gutfraind, ‘Error-Tolerant Coding and the Genetic Code’ [186 page thesis, U-Waterloo-CA]
http://www.cam.cornell.edu/~gfriend/docs/gutfraind.masters.thesis.pdf

2 – Experimental Methods of Adjustable Tetrode Array Neurophysiology, January (IAP) 2001 [MIT, 38 pages]
http://ocw.mit.edu/NR/rdonlyres/Brain-and-Cognitive-Sciences/9-96Experimental-Methods-of-Adjustable-Tetrode-Array-NeurophysiologyJanuary–IAP-2001/C1E4A126-3B02-4298-B209-749C62BB34B7/0/996INTRO.pdf

In reviewing your wiki note and self references:

a – theta functions: “When generalized to a Grassmann algebra, they also appear in quantum field theory, specifically string theory and D-branes.” Grassmann Algebra is prominent in electrical engineering [EE] through the Euler Identity and phasor equations. EE mathematical techniques [or tricks?] allow for dealing with discontinuities.

b – taxicab number: the elliptic curve [p3] is very reminiscent of a recurved bow in ballistics. Euler was an expert in ballistics, knew about maxima and minima and was educated in physiology.

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