| Topic: |
Science > Physics |
| User: |
"OsherD" |
| Date: |
23 Jun 2005 07:35:28 AM |
| Object: |
Rotation vs Expansion-Contraction 2 |
From Osher Doctorow
A fascinating fact is that PI-maximum-entropy distributions, which are
generalizations of Shannon maximum entropy distributions for continuous
random variables, satisfy generalized Riccati Differential equations
either for pdfs (probability density functions) or cdfs (cumulative
distribution functions) as well as having important bivariate
relationships. Of course, most continuous pdfs satisfy the generalized
Riccati Differential equation (which is in itself interesting since it
is the equation of Expansion-Contraction and rotation), but the
PI-maximum-entropy pdfs and cdfs satisfy it with the simplest
coefficients A(t), B(t), C(t) in the generalized Riccati Differential
Equation:
1) dy/dt = A(t) + B(t)y + C(t)y^2, t any real variable
I call this "generalized" because the classic equation has t referring
to time.
Before I discuss this, the topic has opened up old wounds for me with
Chris Hillman's two attacks on me in 2001 which to my recollection was
the last year in which my contributions were accepted in
sci.physics.research. Take a look at my thread "An entropy mystery
from sci.math - Doctorow", in sci.physics April 2, 2001, for Chris'
attack on my signature: "Osher Doctorow, Ph.D. Ventura College, etc.",
in which I quote him:
"Care to explain these claimed affiliations, Osher? I do believe you
added the <etc.> after I pointed out that the faculty list at Ventura
College does not include your name. Is the <etc.> perhaps a high
school?"
Surprisingly enough, the Ventura College mathematics department had
hired me to teach part time including a course in statistics and
another one in I think algebra, but did not re-hire me the next
semester or quarter (I forget which). This wasn't unusual since I
tended to refuse to teach following the textbooks in the exact sequence
demanded by the department or its "Chair" representatives. Unlike
presumably major research universities, California Community and State
College Chairs in my experience tended to exert extreme control over
non-tenured teaching and to be extremely responsive to complaints of
students regarding such things as too much work, too little homework
grading (at my minuscule part-time salary and travelling around 60
miles to Ventura College, I couldn't quite grade enough homework), and
too difficult tests that required students to actually read textbooks
although sometimes out of linear sequential order so to speak.
Osher Doctorow
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| User: "OsherD" |
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| Title: Re: Rotation vs Expansion-Contraction 2 |
23 Jun 2005 07:52:24 AM |
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From Osher Doctorow
Since the Chris Hillman events are rather emotional for me, I'll
transfer them to a separate thread except to mention that my typical
college teaching in mathematics has been part time in California
Community and State Universities/Colleges, that my longest teaching at
the same college was my 4-5 years at LATTC (Los Angeles Trade Tech
College, which is a California Community College) which ended in
February 2004, and that Ventura College was the only college that
re-accepted me after a long absence with the claim that they had no
record of my previous teaching there and prompty then proceeded to
claim that they had misplaced my records but continued to pay me after
the Hillman (presumed) inquiry to them about me. Shortly thereafter,
the Chair (-lady) started listening in on my classes from outside he
doorway in the hall. When I noticed her walking past rapidly and then
I went to the doorway and found her standing listening just out of eye
contact, things took a bit of a down-turn with supervisors now sitting
in on classes for "evaluations".
Osher Doctorow
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