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May 25th, 2014, 05:24 PM   #1
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Math Focus: dynamical systen theory
The little knowns with big gifts

It's true there are the bright lights of the mathematical community - Dr.
Gauss, Dr. Euler, Sir Isaac Newton. But there are also other people who
contributed to the scientific and mathematical communities - Torricelli ( the
barometer ); Sergei Kolmogorov Ph.D. ( Kolmogorov variables in mathematical
statistics ); a contemporary mathematical physicist Manfred Eigen Ph.D. ( eigenvalues and eigenvectors, which are indispensable in studying certain
areas of quantum mechanics ). Hat's off to the little people with big gifts!

Sincerely yours
Carl James Mesaros
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May 26th, 2014, 11:58 AM   #2
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You're putting the bar pretty high if Kolmogorov is a "little"! What undergraduate of mathematics, physics, or computer science doesn't know him?

I'm not familiar with any connection between Manfred Eigen and eigenvalues/vectors/etc.
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May 26th, 2014, 04:06 PM   #3
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Originally Posted by CRGreathouse View Post
You're putting the bar pretty high if Kolmogorov is a "little"! What undergraduate of mathematics, physics, or computer science doesn't know him?
Who?

-Dan
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May 26th, 2014, 06:18 PM   #4
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The problems of not "looking before you leap."

Sorry. I didn't research Dr. Eigen enough. Another lesson : look before
you leap!
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May 26th, 2014, 06:33 PM   #5
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Upon doing some short research on the concepts of eigenvalues and eigenvectors,
the names don't refer to any individual's name. The term "Eigen-" is German for
"self." And, as usual, the history of mathematics comes into play. The beginnings
of eigenvalues and eigenvectors can be traced back to Dr. Euler.
And, if I may bring this up here : some concepts, such as mathematical models,
may look great on paper, but are often useless to explain real-world situations.
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May 27th, 2014, 05:09 AM   #6
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Usually mathematical models are simplifications of reality, designed not so much to simulate reality but to bridge the gap between our understanding and the actual phenomena.
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May 27th, 2014, 07:55 AM   #7
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Originally Posted by CRGreathouse View Post
Usually mathematical models are simplifications of reality, designed not so much to simulate reality but to bridge the gap between our understanding and the actual phenomena.
Or to isolate the influence of a limited number of factors on a larger, more complicated system. (Although this can mean the same as CRG's comment, it doesn't have to).
Thanks from CRGreathouse
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May 27th, 2014, 08:46 AM   #8
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There are probably hundreds of thousands, if not millions, of explorers, philosophers, mathematicians and scientists that have contributed in some way to the pantheon of human knowledge. Hats off to ya!
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May 27th, 2014, 10:57 AM   #9
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if not millions.....Hats off to ya!
That's a lot of hats
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