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Topic: Roots got Slashdotted (Read 1230 times) |
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TenaliRaman
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Roots got Slashdotted
« on: Sep 10th, 2004, 11:33am » |
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a slashdot topic threw this,
http://arxiv.org/ftp/math/papers/0408/0408264.pdf
ofcourse i haven't understood much of it.
Is that ur paper towr?? 
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towr
wu::riddles Moderator
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Re: Roots got Slashdotted
« Reply #1 on: Sep 11th, 2004, 12:08am » |
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I've never published any papers, and it's highly doubtly I ever will (I detest writing)
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Three Hands
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Re: Roots got Slashdotted
« Reply #2 on: Sep 11th, 2004, 10:54am » |
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This coming from someone who has made 2604 posts (at time of writing)...
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towr
wu::riddles Moderator
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Re: Roots got Slashdotted
« Reply #3 on: Sep 12th, 2004, 7:26am » |
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Those are hardly scientific papers, now are they 
Besides which they're short, and more speech-like than writing-like.
Anyway.. I'm curious as to whether that method will actually work. But it's not clear to me what and how he's actually doing things..
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ThudnBlunder
wu::riddles Moderator
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Re: Roots got Slashdotted
« Reply #4 on: Sep 12th, 2004, 9:56am » |
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Quote:| But it's not clear to me what and how he's actually doing things.. |
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I believe he is re-inventing the wheel by deriving a method of exactly representing the roots of any polynomial (using a power series). But this is different from representing the roots using a finite number of radicals (which Galois proved is impossible).
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Icarus
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Re: Roots got Slashdotted
« Reply #5 on: Sep 17th, 2004, 8:38pm » |
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I heard of, but never investigated, two other methods of representing the roots of general polynomials. Whether this method is an improvement over those, I don't know.
Galois proved that you could not find a fomula for solving polynomials of degree 5 or above that involved only the 4 binary operations and radicals. But there are methods that use transendental functions (I think you can solve general 5th degree polynomials using only trigonometric functions). The author of this paper appears to have found a means of building series to solve the equations.
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