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On primitive pythagorean triplets......

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  • Jayanta Das
    Hello, I am an Asst. Teacher in Mathematics in the 11 and 12th grade, from Kolkata, West Bengal, India and have recently joined the
    Message 1 of 2 , May 5 11:30 PM
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      Hello,

      I am an Asst. Teacher in Mathematics in the 11 and 12th grade, from Kolkata, West Bengal, India and have recently joined the PrimeNumbers Yahoo group. 

      What I have here is a general algorithm for Primtive Pythagoean Triplet generation as well as a general formulation of triplet members and I want you guys to take a look at it. To the best of my knowledge this is new and very fundamental and can be very useful.

      The statement of the algo. alongwith the observations are attached here. I would be highly obliged if you could get back to me with possible suggestions for improvement as well as any errors or flaws in the logic...
       
                                                                         Thanking you
                                                                         Yours sincerely,
                                                                         Jayanta Kumar Das
                                                                         Asst. Teacher, Mathematics
                                                                         Sir N.N. Institution,
                                                                         Kolkata-700040, West Bengal, India
                                                                         Mobile - 09330836653 




      [Non-text portions of this message have been removed]
    • Phil Carmody
      ... Welcome. ... Pythagorean triplets have already been enumerated. They re all of the form { k(x^2+y^2), kxy, k(x^2-y^2) }. ... Attachments are not permitted
      Message 2 of 2 , May 5 11:58 PM
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        --- On Wed, 5/6/09, Jayanta Das <jkdnni@...> wrote:
        > Hello,
        >
        > I am an Asst. Teacher in Mathematics in the 11 and 12th
        > grade, from Kolkata, West Bengal, India and have recently
        > joined the PrimeNumbers Yahoo group. 

        Welcome.

        > What I have here is a general algorithm for Primtive
        > Pythagoean Triplet generation as well as a general
        > formulation of triplet members and I want you guys to take a
        > look at it. To the best of my knowledge this is new and very
        > fundamental and can be very useful.

        Pythagorean triplets have already been enumerated. They're all of the form { k(x^2+y^2), kxy, k(x^2-y^2) }.

        > The statement of the algo. alongwith the observations are
        > attached here. I would be highly obliged if you could get
        > back to me with possible suggestions for improvement as well
        > as any errors or flaws in the logic...

        Attachments are not permitted on the list. If you can't describe your ideas in plain text, which is a very useful skill, then the purely visual parts could be uploaded to a free image hosting site. As a last resort, we can also host a small document in our group's files area.

        If you wish to describe an algorithm, one of the easiest ways is to simply provide a reference implementation of the algorithm. Favoured languages include Pari/GP (free, runs anywhere, maintained), UBASIC (free, DOS only, dead), Mathematica (expensive), Maple (expensive), ...

        Phil
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