difficult problem
I have some ideas that involve elliptical equations and modular forms, but I''m not sure it''ll work. I''ll get back to you in eight years or so.
quote:Original post by Beer Hunter
X^n + Y^n = Z^n where n > 2 and X, Y, Z are all > 0.
This is Fermat''s Last Theorem. The proof was a tad long for a homework question...
Didn''t he prove that x3+y3 does NOT = z3
This question is similar to your other thread "two problems". How is this related to game development?
Graham Rhodes
Senior Scientist
Applied Research Associates, Inc.
Edited by - grhodes_at_work on October 4, 2001 11:49:27 AM
Graham Rhodes
Senior Scientist
Applied Research Associates, Inc.
Edited by - grhodes_at_work on October 4, 2001 11:49:27 AM
quote:Didn't he prove that x3+y3 does NOT = z3
Euler is credited with proving X^n + Y^n != Z^n where n > 2
for n=3 and subsequent cases for specific values of n have been proven by other mathematicians throughout history.
However, it was proven for all cases of n>2 by Andrew Wiles (in 1994 I think, could be wrong as this is from memory) by proving the the Shimura-Taniyama-Weil conjecture.
Just a irrelevent (but highly interesting) piece of information for any budding mathematicians...
[Edited: Sorry Dobbs. My mistake. You are completely correct.]
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Supercytro
Edited by - supercytro on October 5, 2001 4:56:48 AM
Edited by - supercytro on October 5, 2001 5:15:25 AM
Supercytro, you are just plain wrong. Fermat''s theorem was there are NO non-zero integer solutions to x^n + y^n = z^n where n>2, so python_regious was right, x^n + y^n != z^n for n>2.
There are however solutions to x^n + y^n + z^n = c^n for n=3 and n=4. Maybe this is what you meant?
There are however solutions to x^n + y^n + z^n = c^n for n=3 and n=4. Maybe this is what you meant?
Hope you have at least nine years to prove this!
Andrew Wiles, a Cambridge mmathematician, showed that x^n + y^n != z^n for all n > 2.
Elliptical equations and modular forms are understood by few mathematicians anyway. Good luck!
Regards,
Mathematix.
Andrew Wiles, a Cambridge mmathematician, showed that x^n + y^n != z^n for all n > 2.
Elliptical equations and modular forms are understood by few mathematicians anyway. Good luck!
Regards,
Mathematix.
Bad bad mistake by me earlier. Edited my post. Thanks Dobbs for catching that. I guess my test for whether anyone was paying attention paid off ;-)
Next time I'll actually read what I write before posting.
Whilst programming, I've found "!=" and "==" are a common cause of quite a few logical errors.
Apologies to python_regious for misreading your post as well.
I knew this but unfortunately it wasn't what I meant. It was just a stupid mistake unfortunately, and not a misunderstood post by me.
Edited by - supercytro on October 5, 2001 5:07:43 AM
Next time I'll actually read what I write before posting.
Whilst programming, I've found "!=" and "==" are a common cause of quite a few logical errors.
Apologies to python_regious for misreading your post as well.
quote:x^n + y^n + z^n = c^n for n=3 and n=4
I knew this but unfortunately it wasn't what I meant. It was just a stupid mistake unfortunately, and not a misunderstood post by me.
Edited by - supercytro on October 5, 2001 5:07:43 AM
I''m closing this thread and several others because the question appears to be a school homework assignment from a math class. The purpose of homework is to teach students to build their comprehension of a subject and their problem-solving skills, possibly with the assistance of other students in the same class or teachers of the class. Especially for math problems such as the one posed here, it is absolutely NOT appropriate to seek the answers from folks outside one''s class or school.
These forums are to be used for assistance in game development activities only.
Graham Rhodes
Senior Scientist
Applied Research Associates, Inc.
These forums are to be used for assistance in game development activities only.
Graham Rhodes
Senior Scientist
Applied Research Associates, Inc.
This topic is closed to new replies.
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