Math
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u^6 + v^6 + w^6 + x^6 + y^6 = z^6 Euler conjectured that u^6 + v^6 + w^6 + x^6 + y^6 = z^6 had no nonnegative integral solutions unless at least four variables were zero. Was he right? -- I can't go on, I'll go on. ... 29 Jul 2010 10:47
strip-geometry-building as reversal of Calculus #4.28 & #243 Correcting Math & Atom Totality In my previous post, I talked about strip-geometry-building as a extension of the Calculus, but upon further reflection, I believe strip-building-geometry is more than a extension of the Calculus but on par to Calculus as a science. As we come to learn the Calculus, we recognize that the integral is the reverse... 27 Jul 2010 13:58
pi/e={2041141/1100}^(1/52) pi/e={2041141/1100}^(1/52) Good to 9 decimal places. I knew it had to be a perfect fraction when the 27 started repeating. http://jons-math.bravehost.com/eandpi.html ... 27 Jul 2010 16:10
5.- Conjecture or theorem ? "The set of least divisors of x^2 + x + A is the set of prime numbers, (A = an odd integer.) for each A testing x = 0,1,2,3...(Non negative integers)." Example: 79 is the least divisor of x^2 + x + 26149427 . (Its first appearance as minimum divisor) Ludovicus ... 1 Aug 2010 03:00
Sum of two squares problem For the sum of two squares function (1): r2(c) = number of integer pairs (x,y) for which x^2 + y^2 = c consider the special arguments c' defined by: r2(c') > sup{r2(d): d < c'} A table of c' and r2(c') starts like this: ------------------------------------------------------------------- ... 27 Jul 2010 20:36
Spammers Changing Titles Of Threads What's with the spammers changing titles of dozens of threads? At least on Google groups, many sci.math threads have been retitled "wholesale b2bsharing". ANNOYING! I wish Google wouldn't allow the titles of threads to be changeable in the first place! Were the titles changed as well for those of you who read sci... 27 Jul 2010 18:24
A new way to see the numbers I propose a new way to see the numbers: the decomposition into weight * level + jump. It is a generalization of the fundamental theorem of arithmetic. Applied to the natural numbers, it's the sieve of Eratosthenes: http://reismann.free.fr/cribleentiers_en.html Applied to the prime numbers, I use it to a new classi... 27 Jul 2010 06:15
refs Benacerraf and structuralism I found these interesting references, so am posting them for others: Benacerraf, Paul (1965) What Numbers Could Not Be, The Philosophical Review, 74:47-73 http://www.jstor.org/pss/2183530 http://en.wikipedia.org/w/index.php?title=structuralism&oldid=157606333#Structuralism_in_the_philosophy_of_mathem... 27 Jul 2010 05:10
Derivation of e=0,5MvvN(N-k) and explaining Doppler effect with f=c/wavelength, where c=c(mu, ep) + v On Jul 27, 1:55 pm, spudnik <Space...(a)hotmail.com> wrote: friction is a loss to heat. No, friction is a force. there is always an opposing force, True, but as Schroeder's experiment with linear motors show, the reaction is orthogonal. or at least there is no vacuum that is too good to be true. I ... 27 Jul 2010 20:36
True or False Logarithm Consider the following polynomial sequence f_n(x): f_n(x) = -sum from k=1 to n: binomial(n over k)*(-1)^k * (1-x^k)/(1-b^k) I can show by elementary transformations that lim_{n -> oo} f_n(b^m) = m for every integer m>=0 and Does this function sequence converge also for other points x (with |1-x/b|<1, obtain... 27 Jul 2010 04:05 |