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NicoBenschop

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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

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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 p7, 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.