Answer speaks for itself.....

Superb answer!!!
Mongolia

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Comprehensive answer with good references.

Thanks so much! Yup, the days are fixed, and I don't think I could
stand it if they were moved around anyway! ;O) But that's all I
needed!

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Great job researching and explaining the answer. But I still think
there's an analytic solution...

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Very pleased with your elaborated response - very thorough and assuring.

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Thanks!

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Perfect. Exactly what I was looking for.

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Excellent.  Patient.  Detailed.  Knowledgeable.

Pretty good stab at a difficult question. Also many thanks to the commentor for
adding some very useful stuff.

Mongolia

Simple and clear explanation to complex problem. Thanks for tackling this one!

Very thorough and clear answers. Great job! Enjoy the $50.00

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Mathtalk-ga has done a great job of engaging other experts in the
field who'd already left comments.  The answer, from my perspective as
a non-whiz in probability, was a bit hard to follow ("probability
transition matrix"?) but my question was worded rather ambiguously. 
I'll be more clear in the future!

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Very complete, well cited, and accessible (which is important to me). 
It is sort of like music for the eyes.

Just as I suspected.  Your verbal answer was clear and concise.  thank you.

More than expected, loved the history, prooved a bet, but could not
think of the actual word.. it will make my day.  I feel the $5.00 is
enough for this particular answers, but I loved the service and thanks
to mathtalk-ga!!!!

Thanks for your time, I greatly appreciate your answer and compliment you
on the refernce you attached, good work,

best regards,

Javier5440

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Answers are clearly presented.  I particularly appreciate the fact
that the researcher made an effort to look at an issue from both
sides.

Great answer for limited money, I prob. should have offered more for a
more detailed analysis.

Exactly what I wanted. Thanks.

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Very clear and concise.  Thank you!

Clear and concise answer with good examples.  Thank you very much! 
And, I have a follow on question that I'll submit now.

Thank you for the insightful and thorough answer to my question.

Mathtalk

although you fully answered my question your answer has begged some
more questions. However I will submit these as new questions.
Many Thanks
Mongolia

Wonderful, mathtalk-ga. You appear to have learned a lot of Python to do this.
I'd like to give you 10 stars to go along with my tip. 

Thank you!!

BTW When I ran what you gave me, IDLE suggested a different coding,   
         "# -*- coding: cp1252 -*-".
You can see your work at <http://www.rcblue.com/Python/solveCubicEquation.py>

donkan

What a great answer, and so easily understood. Thanks.

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hi mathtalk!

I took a quick look here; recently had a vivid dream about one of
those towers . . .

I'm way busy these days, so not in research mode, but enjoyed this link.

Hey, there's a book you might enjoy:  Maps of Meaning; the
architecture of belief . . .  by Jordan Peterson, at
http://www.amazon.com/exec/obidos/ASIN/0415922224/qid=1112851827/sr=2-1/ref=pd_bbs_b_2_1/102-6224818-6977768

best to you

ts

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mathtalk, now I think I can write that program. You've really gone
above and beyond. Thank you!

donkan

Excellent research!

Wow, Mathtalk.

Until you revealed your secrets I was not aware whether it was pure
Math or just Talk.

But now that you have talked me through it, I will never listen to
that Hailstorm again.

Many thanks!

Bryan

Just what I had in mind. Some of that stirred memories from college
days but I'm sure it's quite fresh in your mind; it would have taken
me a long time...  Thanks!

Great effort by researcher, well recommended.