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You are not logged in. #1 20121216 08:27:20
Who knows a formula of Pythagorean numbers?Who knows a formula on which it is possible to find everything Pythagorean numbers? For example I want to learn all three with number 12: "The conditions imposed on functions, become a source of difficulties which will manage to be avoided only by means of new researches about the principles of integral calculus" Thomas Ioannes Stiltes. ... I made it! #2 20121216 08:39:03
Re: Who knows a formula of Pythagorean numbers?hi 21122012 So you could choose factors P and Q so that PQ = 144 and find a and b. eg hint: ab and a+b need the same parity ( both odd or both even ) Bob You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #3 20121216 09:50:16
Re: Who knows a formula of Pythagorean numbers?I didn't understand a thing! ... how many? "The conditions imposed on functions, become a source of difficulties which will manage to be avoided only by means of new researches about the principles of integral calculus" Thomas Ioannes Stiltes. ... I made it! #4 20121216 10:07:10
Re: Who knows a formula of Pythagorean numbers?and are the same. Find all the factors of 24^2 that have the same parity (two odd factors or two even factors) and solve Then a^2 and b^2 will be the other two ? in the Pythagorean triple. so then eg. Bob You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #5 20121216 12:14:34
Re: Who knows a formula of Pythagorean numbers?For example:
You understand? Last edited by 21122012 (20121216 12:15:54) "The conditions imposed on functions, become a source of difficulties which will manage to be avoided only by means of new researches about the principles of integral calculus" Thomas Ioannes Stiltes. ... I made it! #6 20121216 12:40:05
Re: Who knows a formula of Pythagorean numbers?There are 7 of them. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #7 20121216 13:24:50
Re: Who knows a formula of Pythagorean numbers?I remember seeing a proof that all Pythagorean triplets are of the form The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #8 20121216 13:27:48
Re: Who knows a formula of Pythagorean numbers?You used a formula or the computer program? "The conditions imposed on functions, become a source of difficulties which will manage to be avoided only by means of new researches about the principles of integral calculus" Thomas Ioannes Stiltes. ... I made it! #9 20121216 13:30:53
Re: Who knows a formula of Pythagorean numbers?Computer program. But it is easy to generate 3 of them from a formula. The rest I am still working on. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #10 20121216 13:31:30
Re: Who knows a formula of Pythagorean numbers?
No! Yes? mean if an indicator of a general view will look: n? ! "The conditions imposed on functions, become a source of difficulties which will manage to be avoided only by means of new researches about the principles of integral calculus" Thomas Ioannes Stiltes. ... I made it! #11 20121216 13:39:48
Re: Who knows a formula of Pythagorean numbers?Do you already have an answer to the problem? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #12 20121216 13:50:39
Re: Who knows a formula of Pythagorean numbers?
I don't want to answer at once. And that will turn out as in other topic. All will be silent or it is simple to speak: "I don't agree" but won't reason and prove disagreement. I want to arrive now more cunning. That you gradually reached before that I want to tell. "The conditions imposed on functions, become a source of difficulties which will manage to be avoided only by means of new researches about the principles of integral calculus" Thomas Ioannes Stiltes. ... I made it! #13 20121216 13:56:45
Re: Who knows a formula of Pythagorean numbers?This thread does not belong in help me. Help me is for people who need help. Usually they need it right away. If you already have the answer and are posing a puzzle then you should post in puzzles and games or exercises. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #14 20121217 10:46:00
Re: Who knows a formula of Pythagorean numbers?(a²+b², a²b², 2ab) with positive integers a and b with a>b are all Pythagorean triples. Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional). LaTex is like painting on many strips of paper and then stacking them to see what picture they make. #15 20121217 10:50:39
Re: Who knows a formula of Pythagorean numbers?That will not get you Pythagorean triples, noelevans. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #16 20121217 16:39:33
Re: Who knows a formula of Pythagorean numbers?Hi stefy, Last edited by phrontister (20121217 17:23:07) "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #17 20121217 20:53:56
Re: Who knows a formula of Pythagorean numbers?This is exactly the reason why I shouldn't post late at night! My brain doesn't work! The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #18 20121218 17:17:20
Re: Who knows a formula of Pythagorean numbers?Join the club! Mine doesn't work well late at night either. Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional). LaTex is like painting on many strips of paper and then stacking them to see what picture they make. #19 20121218 18:44:36
Re: Who knows a formula of Pythagorean numbers?hi noelevans and Stefy,
I'm guessing that to do what you want, you have found a formula for prime numbers. :? You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei 