Math

Large gaps between consecutive pairs of twin primes
I ask if someone knows an approximate formula for calculating the expected maximum gap between consecutive pairs of twin primes in the neighborhood of a given number N. For the primes I developed the formula : [log(N) - loglog(N)]^2 This curve match satisfactorily the data of known large gaps. Ludovicus ... 27 Nov 2009 08:51

lagrange identity
Hi, can someone help with proving that the sum of the squared differences is equal to the sum of the squared deviation from the mean times the size of the population? that is SumSum(i<j=1 to m)(z_i-z_j)^2= m*Sum(z_i-average(z))^2. where average(z) is the average of z over the m units? thanks, Josh ... 7 Dec 2009 10:41

Dense Linear Ordering problems.
I have two clusters of questions. Conjecture 1: ========== Any countable dense linear ordering with no end-points is order-isomorphic to any other. This is easily proved with AC, is that right? In fact, it only needs DC, is that right? But CC is not sufficient, is that right? (I'd guess this is hard.) ... 6 Dec 2009 11:42

Is this a valid statement?
Is the following statement valid? Let f(z) be an analytic function with an isolated essential singularity at a, say f is analytic in the open disk D 0<|z-a|<r. Then for any circle C with radius less than r, int_C f(z) dz =2pi i b, where b is the coefficient of 1/(z-a) in the Laurant expansion of f in D. ... 24 Nov 2009 07:47

Another AC anomaly?
Has anyone seen this before? http://possiblyphilosophy.wordpress.com/2008/09/22/guessing-the-result-of-infinitely-many-coin-tosses/ I'm not sure yet what to conclude from it; that AC is horribly wrong, or that WM is horribly right, or something else altogether. In short the story goes like this: A game is... 27 Dec 2009 16:18

Dumb Question on Inference For Regression (Ho:= No Linear Relation)
Hi, everyone. I would appreciate your help with the following: I wonder if I am missing something obvious re the idea of hypothesis-testing for regression; specifically, we are testing whether y and x are linearly-related. My layout always assumes the null hypothesis Ho to be that there is no linear re... 23 Nov 2009 05:14

Multinational business finance Solution manual please???
hello all, can you please provide me with the: COMPLETE solution manual from the book: Multinational business finance by eiteman 12th edition: here are its link in pearson website: http://vig.pearsoned.co.uk/catalog/academic/product/0,1144,013612156X-IS,00.html try download the instructor manual (end-of-chap... 22 Nov 2009 08:17

Math/CompSci Interview Question - Thoughts?
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 algorithm to determine x." The as... 4 Mar 2010 04:31

Engineering Mechanics: Dynamics 6th Edition Solutions Manual Meriam & Kraige
Engineering Mechanics: Dynamics 6th Edition Solutions Manual Meriam & Kraige if you need this solutions manual just email me on: ebookmerchant99 at gmail dot com ... 18 Nov 2009 16:52

serie 1/(a^k-1)
Hello everybody Is there a known closed form for sum_{k=1,+infty}1/(a^k-1), where "a" is a positive integer > 1 ? ... 22 Nov 2009 19:26