| Thread | Last Post | Replies |
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| Summation by parts | 27 Jul 2009 04:11 GMT | 5 |
In "Concrete Math" (Graham, Knuth, Patashnik), the 2nd chapter offers
a very nice parallel (for summation) to integration (below I'll use
"Sigma," "delta" etc. for math symbols):
Sigma u*delta(v) = u*v - Sigma E(v)*delta(u)
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| diameters and conjugate diameters of conics - projective property? | 27 Jul 2009 03:50 GMT | 1 |
If you look at a family of parallel chords of a conic, the midpoints
of the chords form a straight line. With ellipses and hyperbolas, this
line passes through the origin, and with parabolas this is a vertical
line. And yet, this does not seem to be a property that behaves well
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| [The Biggest Bracket Experiment] | 27 Jul 2009 03:50 GMT | 1 |
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| [The Bigges Bracket Experiment] | 27 Jul 2009 03:49 GMT | 1 |
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| Can we please stop the math game? | 27 Jul 2009 02:33 GMT | 2 |
I mean I see how it works with the little nicknames "Burt" and "JSH"
are nothing more than new versions of "X" and "Y" and this your
Boolean algrebra (lie)! I get 'it' okay? The obfuscation of variables
disguised as language in mathematics.Equationare really just symbols
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| hyperbolic cylinder question | 26 Jul 2009 22:39 GMT | 2 |
I believe the textbook drew the graph wrong of a hyperbolic cylinder.
If you have this equation:
x^2/a^2 - y^2/b^2 = 1
That should produce a hyperbolic cylinder that opens up over the x
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| eigenvalues of products of matrices | 26 Jul 2009 22:35 GMT | 11 |
Hey everybody,
I was wondering if there are any general results relating the
eigenvalues of a product of matrices to the eigenvalues of matrices
constituting the product.
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| Pascal's Hexagon Theorem on conjugate hyperbola | 26 Jul 2009 22:28 GMT | 1 |
I am wondering whether Pascal's Hexagon Theorem remains true when some
of the vertices of the hexagon are allowed to be on the conjugate
hyperbola. Has anyone heard of this? Or does anyone know it's false?
Greg
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| Holomorphic maps and fixed points | 26 Jul 2009 20:35 GMT | 5 |
A Riemann surface X is called _hyperbolic_ if is universal covering is conformally isomorphic to the unit disk.
Problem. Let f be a holomorphic self-map of a hyperbolic Riemann surface X such that f has two fixed points. Prove that f^n = id for some finite n.
(f^n means the n'th ...
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| Fourier transform of a unit step function | 26 Jul 2009 14:53 GMT | 1 |
How come the unit step function u(t) has a Fourier transform if the integral
of
exp(-i*w*t)*dt from 0 to infinity
doesn't converge?
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| How does one pronounce `Grothendieck' and 'Lawvere'? | 26 Jul 2009 14:47 GMT | 6 |
How does one pronounce `Grothendieck' and 'Lawvere'?
 Signature
Which of the seven heavens / Was responsible her smile /
Wouldn't be sure but attested / That, whoever it was, a god /
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| Perfect cubes | 26 Jul 2009 11:38 GMT | 7 |
If a, b are relatively prime natural numbers
such that the procuct ab is a perfect cube, then why are both a,and b perfect cubes themselves ?
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| Iff P == N P == P N - P == true | 26 Jul 2009 05:56 GMT | 2 |
Cut to the chase. Now according to my computer this true you dance
around it.
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| Your own David the band of the insults is he wearing | 26 Jul 2009 05:31 GMT | 2 |
It will be taken further. Their will be not longer swearing. The Lord
has spoken.
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| Prime factors congruent to 2 (mod 3) | 26 Jul 2009 01:24 GMT | 14 |
If k is an integer > 1 which is congruent to 2 (mod 3),
how do we show that k has a prime factor congruent
to 2 (mod 3)?
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