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	<title>NicoBenschop - Revision history</title>
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	<updated>2026-05-06T13:38:25Z</updated>
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		<id>https://www.wikiworld.com/index.php?title=NicoBenschop&amp;diff=1901&amp;oldid=prev</id>
		<title>imported&gt;Import: Imported current content</title>
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		<updated>2026-01-28T11:54:25Z</updated>

		<summary type="html">&lt;p&gt;Imported current content&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
My CV:&lt;br /&gt;
* --- Born : May 1940 (Java) ---&amp;gt; to Holland (NL) Ede, 1946&lt;br /&gt;
* HBS-B . . . . (&amp;#039;52 Ede -&amp;#039;57 Enschede )&lt;br /&gt;
* HTS Elektrotechniek . (&amp;#039;57 Enschede - &amp;#039;60 den Haag)&lt;br /&gt;
* Mil.Service / Air Force . . (&amp;#039;60 Breda - &amp;#039;62 AFB.Ypenburg, 2nd Lt.)&lt;br /&gt;
* TU-Delft / Electronics . . .(EE / M.Sc &amp;#039;66, PAL-TV thesis)&lt;br /&gt;
* U-Waterloo, Ont.Canada (EE / Ph.D &amp;#039;70, Appl. Matrix-decomposition thesis)&lt;br /&gt;
* 1981 - 1987 : TU-Delft . . (part-time prof.) teaching Digital VLSI Design&lt;br /&gt;
* 1970 - 2002 : Eindhoven : Philips Research (&amp;#039;Natlab&amp;#039; : Digital VLSI-CAD)&lt;br /&gt;
* 2003 - present: retired. Writing book (2004):&lt;br /&gt;
* &amp;lt;i&amp;gt;&amp;quot;Digital Network Theory&amp;quot;&amp;lt;/i&amp;gt; http://members.chello.nl/~n.benschop/preface.htm&lt;br /&gt;
* . . . &amp;lt;i&amp;gt;An Associative Algebra Approach to Logic, Arithmetic and State Machines.&amp;lt;/i&amp;gt;&lt;br /&gt;
* ---- Geldrop (NL) ---- n.benschop at chello.nl ---- Motto : &amp;quot;&amp;lt;i&amp;gt;Dynamic Balance&amp;lt;/i&amp;gt;&amp;quot;&lt;br /&gt;
* . . .  One is Always Halfway Anyway . . . : 1=AHA&lt;br /&gt;
. . . . xxxxxxxxxxxxxxxx1.1xxxxxxxxxxxxxxxx&lt;br /&gt;
* http://home.iae.nl/users/benschop&lt;br /&gt;
* http://members.chello.nl/~n.benschop&lt;br /&gt;
&lt;br /&gt;
[[CategoryHomePage]]&lt;br /&gt;
----&lt;br /&gt;
Welcome Nico====  I am honored to have you on my site.  Your work is significant in my areas of interest.&lt;br /&gt;
====&lt;br /&gt;
There is much I can learn from you.  I enjoy your insights.  Thank you for coming. -- [[JimScarver]]&lt;br /&gt;
-------&lt;br /&gt;
Thanks, Jim.&amp;lt;br&amp;gt;&lt;br /&gt;
I noticed that you&amp;#039;re a fan of Adams (re &amp;quot;A Hitchhiker&amp;#039;s Guide to the Universe&amp;quot;).&lt;br /&gt;
The magic answer (number 42) to all questions regarding Life etc. is not randomly&lt;br /&gt;
chosen, as Adams mentions in his fan-group posting 11nov93, but it has a deep&lt;br /&gt;
background (;-) Namely, Fermat&amp;#039;s famous hypothesis on the sum of two p-th powers&lt;br /&gt;
not being a p-th power for primes p &amp;gt;2 (Pythagoras cannot be genealized beyond&lt;br /&gt;
squares;-( &amp;#039;&amp;#039;&amp;#039;does&amp;#039;&amp;#039;&amp;#039; have a solution in residues: x^p + y^p = z^p (mod p^k) for some&lt;br /&gt;
prime exponents p (any k &amp;gt;1), in fact at least for primes of form p = 6m +1.&lt;br /&gt;
&lt;br /&gt;
* The smallest prime this occurs is p&amp;lt;code&amp;gt;7, k&amp;lt;/code&amp;gt;2 and the three p-th powers (hence x, y, z) are coprime to p.&lt;br /&gt;
&lt;br /&gt;
There are p(p-1) residues coprime to p (mod p^2), forming a cyclic&lt;br /&gt;
group of  that order, which equals 42 in case p=7... See? &amp;lt;br&amp;gt;In fact the solutions&lt;br /&gt;
are equivalent to the cubic roots of Unity: a + a^2 &amp;lt;code&amp;gt; -1, with a^3 &amp;lt;/code&amp;gt; 1 (mod p^2).&amp;lt;br&amp;gt;&lt;br /&gt;
So the age-old &amp;#039;Trinity&amp;#039; concept (thesis, anti-thesis --&amp;gt; synthesis) is also there====&lt;br /&gt;
====&lt;br /&gt;
&lt;br /&gt;
* Math = the Art of separating Necessity and Coïncidence&lt;br /&gt;
* Life = the Art of making the Best of Necessity, using Coïncidence.&lt;br /&gt;
&lt;br /&gt;
-- Ciao, Nico.&lt;br /&gt;
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