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Eta function of period four Dirichlet Eta function has period two, as it separates odds and evens of the Zeta function by assigning them different signs; Eta(z) = Sum[((-1)^(n-1)) / n^z, n=1 to infinity] It plays a direct role in extending the Zeta function to Re(z) < 1 and exposing the non-trivial zeros. What would happen if new Eta f... 1 Mar 2010 22:05
Nilpotent semidirect products Let G be a the semidirect product (K,Q,f), with Q acting on K via f. When is G nilpotent? It is clear that K and Q must be nilpotent, so it really depends on the action. By the way, I'm more interested in infinite groups, but anything (specially examples) is welcome. Thanks a lot... Lilly ... 25 Feb 2010 04:46
Be ready to be killed, or take action to stop the global suicide. Scandal at CERN. Please stop this drivel now. The LHC at full power is somewhat less dangerous than lighting a match in an igloo the size of St Mark's Venice. Are there any qualified scientists on these sci.whatever lists AT ALL? Or at least please stop sending to comp.dsp! Richard Dobson On 22/02/2010 07:26, Magnetic wr... 22 Feb 2010 06:20
primeness, and digital relationship e.g. 97, 997, 9997 ... #458 Correcting Math My last post remarked about the definition of prime, and how it would relate with a Algebra Zone, a zone in which multiplication and division would be broken down after 10% of all the numbers. That we cannot rely on Algebra to tell us if a infinite integer is prime or composite with certainty, since Algebra woul... 22 Feb 2010 04:10
how to compute this significance level? X_1,...,X_8 are a random sample of size n=8 from a poisson distribution with mean m. Reject the simple null hypothesis Ho: m=0.5 and accept H_1: m > 0.5 if the observed sum \Sum_{i=1}^8 x_i >=8. How do I calculate the significance level alpha of this test? ... 21 Feb 2010 21:38
determining all the primes #456 Correcting Math Ah! before I get too excited and ambitious, I should remember that Algebra fizzles out at only 10% of all the numbers that exist. So to determine whether 9999....9997 and 9999....99989 are primes or composites, I should remember that we no longer have trustworthy multiplication and thus, no longer a trustworthy ... 21 Feb 2010 02:46
finitized the infinite? Re: Fractal Peano Natural Numbers #454 Correcting Math Alright, let me go through that again, to get it firm in mind. So I define finite as 10^500, and beyond is infinite. Now I take 9999......999999 as the largest infinite number and I take 10000.....00000 as 10% of 99999.....9999+1 Now I define Exponentiation and Root of infinite-numbers such that 10^500 is ... 21 Feb 2010 01:42
Exactly why the theories of relativity are complete nonsense- the basic mistake exposed! Arindam Banerjee wrote: Dear All, I have been saying all this and much more for years, in Usenet and in public life! I had put up the above article in a website which was pulled down by Telstra for upgrades. Now, this article is back again, and I do hope it gives new, vibrant life to this delude... 20 Feb 2010 22:26
The perpetual calendar Owing to the inconveniences which attend the shifting of the calendar, and attempting in passing to create a more perfect Church calendar, I say the following: 1. That Christmas day should be fixed to a Sunday, and this should be the Sunday between Dec. 21 and 27, and that in all civilised countries the Monday s... 23 Mar 2010 03:27
THE MIND OF MATHEMATICIANS PART 7 " SPATIAL MATHEMATICS , VALUE OF 1 and 3 This is priliminary and needs a lot of review , but most certainly, by proportions as described in part 6 the values are as follows 1= 1.0051754368 3= 3.0155263158 1/3= 0.33505847953 These values are related to spatial proportions and the Radian value of 57.295 1:6 =at 9.5degs X 6 =57 1:5 =at 11... 18 Feb 2010 11:42 |