In the 19 October 2007 issue of Science magazine, U. Vermont mathematics
professor published an article: "Mathematics and Complex Systems", with this
abstract:
Contemporary researchers strive to understand complex physical
phenomena that involve many constituents, may be influenced by
numerous forces, and many exhibit unexpected or emergent
behavior. Often such "complex systems" are macroscopic
manifestations of other systems that exhibit their own
complex behavior and obey more elemental laws.
The phenomena he is referring to all belong to technical, and therefore
patentable fields, such as electronics, chemistry, biology, etc. But
he goes on:
This article proposes that areas of mathematics, even ones based
on simple axiomatic foundations, have discernible layers,
entirely unexpected "macroscopic" outcomes ...
therefore, unpredictable, and thus pure math is KSR patentable,
even if KSR is semantic nonsense.
... and both mathematical and physical ramifications profoundly
beyond their historical beginnings. In a larger sense, the
study of mathematics itself, which is increasingly surpassing
the capacity of researchers to verify "by hand", may be the
ultimate complex system.
Yes, and more - the ultimate complex PATENTABLE system. From his
conclusion,
talking about mathematical systems in general:
Evidently, complex systems may evolve from [mathematical] structures
according to very elementary rules or transition laws; the
seemingly "deterministic" nature of such foundations may belie their
ultimate intricacy and unpredictability ...
Note: and unpredictable systems are KSR-patentable, even if KSR is
semantic nonsense.
... A combination of technical depth and breadth of relevance
should be essential facets of any complex system. Moreover,
each should have "layers" of depth that are reasonably discernible
to experts, even if there may be some disagreement about the
precise nature of this term or where the "bonudaries" of the
layers lie. There should be some cross-fertilization of ideas,
outcomes, and motivations spanning the layers (even if
practitioners work primarily in only one layer).
That is, mathematics is a technical field as well, mathematical results
being technical results.
Thanks to these for support:
1a. kraynov.com
1b Uncommon
2. maulnet.ru
3. homelessinmoscow.blogspot.com
4. http://searchengines.ru/blog/
5. homelessinizhevsk.blogspot.com
6. artyom-maynas.blogspot.com
7. arn.ro
8. spryt.ru
9. anticorporativ.ru
10. volinrok.com
11. mastertext.spb.ru
12. kopernik.name
13. brokenbrake.biz
14. z.codeby.net
15. homelessin.blogspot.com
16. smopro.ru
17. problogging.ru
18. ruseosmo.blogspot.com
19. homebusiness.ru
20. blog.micromarketing.ru
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