NicoBenschop
My CV:
- --- Born : May 1940 (Java) ---> to Holland (NL) Ede, 1946
- HBS-B . . . . ('52 Ede -'57 Enschede )
- HTS Elektrotechniek . ('57 Enschede - '60 den Haag)
- Mil.Service / Air Force . . ('60 Breda - '62 AFB.Ypenburg, 2nd Lt.)
- TU-Delft / Electronics . . .(EE / M.Sc '66, PAL-TV thesis)
- U-Waterloo, Ont.Canada (EE / Ph.D '70, Appl. Matrix-decomposition thesis)
- 1981 - 1987 : TU-Delft . . (part-time prof.) teaching Digital VLSI Design
- 1970 - 2002 : Eindhoven : Philips Research ('Natlab' : Digital VLSI-CAD)
- 2003 - present: retired. Writing book (2004):
- "Digital Network Theory" http://members.chello.nl/~n.benschop/preface.htm
- . . . An Associative Algebra Approach to Logic, Arithmetic and State Machines.
- ---- Geldrop (NL) ---- n.benschop at chello.nl ---- Motto : "Dynamic Balance"
- . . . One is Always Halfway Anyway . . . : 1=AHA
. . . . xxxxxxxxxxxxxxxx1.1xxxxxxxxxxxxxxxx
Welcome Nico==== I am honored to have you on my site. Your work is significant in my areas of interest.
==
There is much I can learn from you. I enjoy your insights. Thank you for coming. -- JimScarver
Thanks, Jim.
I noticed that you're a fan of Adams (re "A Hitchhiker's Guide to the Universe").
The magic answer (number 42) to all questions regarding Life etc. is not randomly
chosen, as Adams mentions in his fan-group posting 11nov93, but it has a deep
background (;-) Namely, Fermat's famous hypothesis on the sum of two p-th powers
not being a p-th power for primes p >2 (Pythagoras cannot be genealized beyond
squares;-( does have a solution in residues: x^p + y^p = z^p (mod p^k) for some
prime exponents p (any k >1), in fact at least for primes of form p = 6m +1.
- The smallest prime this occurs is p
7, k2 and the three p-th powers (hence x, y, z) are coprime to p.
There are p(p-1) residues coprime to p (mod p^2), forming a cyclic
group of that order, which equals 42 in case p=7... See?
In fact the solutions
are equivalent to the cubic roots of Unity: a + a^2 -1, with a^3 1 (mod p^2).
So the age-old 'Trinity' concept (thesis, anti-thesis --> synthesis) is also there====
==
- Math = the Art of separating Necessity and Coïncidence
- Life = the Art of making the Best of Necessity, using Coïncidence.
-- Ciao, Nico.