sci.math Google Group

Re: The future of programming embodied by abusing public resources

ad...@adamk.net (adamk) — Sun, 22 Nov 2009 11:17:29 UT

Get the fuck out of here, you worthless spamming loser.
Go abuse some other place, no one wants you here, you worthless thug.

Re: Billiards

mauriziobarb...@aruba.it (Maury Barbato) — Sun, 22 Nov 2009 10:30:58 UT

Ok, ok, I know how the mathematical model of billiards
without pockets (I imagine that billiards with pockets
are much more complicated: can you give some reference
for the subject?).
Ok, I see how to make your argument rigorous (one
should consider the number of impacts on vertical and
horizontal sides). So, the answer is yes!

Re: speed of light in gravity?

dirkvandemoor...@nospam.hotmail.com (Dirk Van de moortel) — Sun, 22 Nov 2009 10:28:43 UT

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Re: Dense Linear Order

ma...@rdrop.remove.com (William Elliot) — Sun, 22 Nov 2009 09:54:33 UT

What's the induction step?
Lemma. If p,r in Z, m,n in N, p/2^m < r/2^n < (p + 1)/2^m,
then m < n.
Proof. p < r.2^(m-n) < p + 1.

Re: Fusion Barrier Principle implies the nonexistence of a Higgs boson #32

y.y.po...@gmail.com (Y.Porat) — Sun, 22 Nov 2009 09:44:24 UT

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Re: Q Rotation Matrix: can we tell around how many axes the matrix rotates?

golabid...@gmail.com (Golabi Doon) — Sun, 22 Nov 2009 09:17:06 UT

by from theta I meant from R.

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Re: Asymptotic behavior of Alternating Ordinary Dirichlet Series remainder.

david...@videotron.ca (David Bernier) — Sun, 22 Nov 2009 08:59:31 UT

I tried to find a reference for the O(.) bound, and
I found that Dirichlet eta and Riemann zeta are
special cases of the Lerch zeta function L(lambda, alpha, s),
where lambda and alpha are parameters that specify a unique
zeta-like function, via a Dirichlet series.
Antanas Laurincikas and Ramunas Garunkstis have

Re: Q Rotation Matrix: can we tell around how many axes the matrix rotates?

golabid...@gmail.com (Golabi Doon) — Sun, 22 Nov 2009 08:51:42 UT

First, thank you very much for the quick response.
Right, that was a typo.
If I understand you correctly, you say that R=R_1 R_2 ... R_n would be
equivalent to rotation along a single vector "v"... i.e., I can
represent R by a single vector unit vector "v" and a single angle
"theta".
If that is what you meant, is there a way to extract "v" and "theta"

Re: Math/CompSci Interview Question - Thoughts?

wil...@stack.nl (Willem) — Sun, 22 Nov 2009 08:50:48 UT

) Dubuque is referring to the solution that Woeginger more lucidly
) described above. Both it and the bit counting method are
) asymptotically equivalent solutions to the original problem. I'm sure
) either of these solutions provided on the spot would have received
) "full marks".
I'm not so sure. I wouldn't be surprised if you only get "full marks"

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Re: Math/CompSci Interview Question - Thoughts?

r...@see.sig.invalid (Richard Heathfield) — Sun, 22 Nov 2009 08:47:19 UT

I thought of that too, but quickly saw the flaw - if for large N you
have (N/2)+1 occurrences of X, and (N/2)-1 occurrences of Y, you
can't settle the matter (is it X, or is it Y?) satisfactorily without
reading every element.

Re: Math/CompSci Interview Question - Thoughts?

wil...@stack.nl (Willem) — Sun, 22 Nov 2009 08:33:09 UT

) I
)> >>>I was posed the following question in a technical interview for a
)> >>>Software Engineering position by a major multinational NASDAQ company:
)> >>>
)> >>>[Paraphrasing] "You are given an array of 1,000,000 32-bit integers.
)> >>>One int value x occurs 500,001 times or more in the array. Specify an

Re: The future of programming embodied by childlike imagination coupled with adult discipline

marty.musa...@gmail.com (debaser) — Sun, 22 Nov 2009 08:09:26 UT

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Re: Q Rotation Matrix: can we tell around how many axes the matrix rotates?

jcsan...@fc.up.pt (José Carlos Santos) — Sun, 22 Nov 2009 07:52:49 UT

This is not a rotation. The last line should have been 0 0 1.
Anyway, the answer to your question is negative. This is so because the
rotations form a group and therefore what you call "the "minimal" number
of rotations along single axes to construct R" is always 1. In other
words, if R_1, ..., R_n are rotations, then R_1 o R_2 ... o R_n is also