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amzoti <amzoti@xxxxxxxxx> wrote in
news:621ea682-7e25-4410-b6ed-914bc9991db2@xxxxxxxxxxxxxxxxxxxxxxxxxxxx:
> On Aug 19, 3:29 pm, Nicodemus <Ancient-of-D...@xxxxxxxxxx> wrote:
>> amzoti <amz...@xxxxxxxxx> wrote
>> innews:71e4e789-fbee-4144-b063-d0ce06efe6
> 61@xxxxxxxxxxxxxxxxxxxxxxxxxxx:
>>
>>
>>
>> > On Aug 19, 2:47 pm, socraticquest <socraticqu...@xxxxxxxxxxx>
>> > wrote:
>> >> Hello,
>>
>> >> Any recommendations for software that simulates Henri Poincare's
>> >> 'geometric operation of stretching?' Is there software available
>> >> that can run on Windows XP, and allows users to input there own
>> >> images to simulate Poincare's experiment?
>>
>> >> Thank-you
>>
>> > See the article with pictures here:
>>
>> >http://cse.ucdavis.edu/~chaos/courses/ncaso/Readings/Chaos_SciAm1986/
>> >Ch
>> > aos_SciAm1986.html
>>
>> > I saw a talk once where this simulation was done - but it was not
>> > real.
>>
>> > It could be made real if you use a computer algebra program.
>>
>> > Here is what it would do:
>>
>> > 1. Find a matrix that when taken to some power n, return to the
>> > original matrix.
>>
>> > 2. Use this matrix to represent vectors on the a 2-d screen.
>>
>> > 3. Take a graphic that (x,y) coordinates on the screen and multiply
>> > and plot them.
>>
>> > You should be able to simulate the images in the cited reference
>> > above (I actually did it - but only used simple images and
>> > Mathematica a long time ago).
>>
>> > The talk was called "The order within chaos" by Chris Rorres.
>>
>> > I think he even had it in the book: Elementary Linear Algebra:
>> > Applications Version by Anton and Rorres (from Drexel University).
>>
>> > HTH ~A
>>
>> Best Of Luck, your computer is some new fangled' abacus here in The
>> 21
> st
>> Century, where Freeware and Freemen gather to analyze it is clear,
>> The Word Freeware has not yet been entered into The Dictionary Of
>> Life.
>>
>> I do hope that I have not added to all the bickering here at this
>> wonderful group of experts about freeware, or the best freeware..
>>
>> Hold onto your fork, The Best Is Yet To Come..
>>
>> ** Posted from www.teranews.com**">http://www.teranews.com**
>
> Of course, if one can get past your terrible attitude, they can easily
> find an alternate CAS here:
>
> en.wikipedia.org/wiki/List_of_computer_algebra_systems">http://en.wikipedia.org/wiki/List_of_computer_algebra_systems
>
> It is not that hard to program that up.
>
You young programers surprise me, are you building on freeware or
payware?
The sustainable The Worthy Apostles in The Higher Place, Bow Deeply
Before The Fire That Lights This Universe..
** Posted from www.teranews.com">http://www.teranews.com **
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