Math

about squarefree integers-
master1729 wrote: Let T(x) denote the number of squarefree integers between 1 and x. T(x) = 6 * pi^-2 * x + O( x^(1-ln(2)) ) this is my teenage challange , tommy's jugendtraum if you like. regards tommy1729 See http://en.wikipedia.org/wiki/Square-free_integer - good luck! Kron... 31 May 2010 17:29

online computation of semiconvergents?
Hi - simple question: does anyone know a website where I can enter a number in symbolic form and get a list of semiconvergents? It's the kind of thing I thought WolframAlpha would be able to do, but apparently it understands continuedFraction(whatever) but not semiconvergents(whatever). Failing that, if someone wan... 29 Jun 2010 18:31

Unsolvability of the Entscheidungsproblem as a Corollary of Gödel’s 2nd Theorem
Wikipedia: “In 1936 and 1937 Alonzo Church and Alan Turing respectively, published independent papers showing that it is impossible to decide algorithmically whether statements in arithmetic are true or false, and thus a general solution to the Entscheidungsproblem is impossible. Alonzo Church, ‘A note on th... 4 Jun 2010 00:31

Redshift and Microwave radiation favor Atom Totality and disfavor Big Bang #117; ATOM TOTALITY (Atom Universe) theory; replaces Big Bang theory
Net-Teams, wrote: re: I often wonder whether physicists who love their Big Bang ever really think about what they have accepted. Archimedes, I wonder if they "think" at all... When I hear things like "Now that we know.." instead of "We currently believe..", I can help thinking "They haven't got a ... 31 May 2010 13:04

Hilbert’s Entscheidungsproblem: To decide whether a sentence is TRUE or whether it is PROVABLE?
Wikipedia: “In mathematics, the Entscheidungsproblem is a challenge posed by David Hilbert in 1928. The Entscheidungsproblem asks for an algorithm that will take as input a description of a formal language and a mathematical statement in the language and produce as output either "True" or "False" according to ... 4 Jun 2010 00:31

Trajectory branching in Liouville space as the source ofirreversibility
TRAJECTORY BRANCHING IN LIOUVILLE SPACE AS THE SOURCE OF IRREVERSIBILITY An introduction to irreversibility was given in the first part: The quest for the ultimate theory of time, an introduction to irreversibility. In this event, the author want to communicate the recent advances done in our comprehension of i... 12 Jun 2010 15:59

VERY RUDIMENTARY GAPS AT THE BASE OF MATHEMATICS-- THE EQUALIZATION OF 3curved and 4 linear,end of reciprocal equalization
Felllows , this is not related to any thing , but a base understanding of the set up of mathematics. nothing sophisticated here. 1and 2 1--2(1x2)---3----4(2x2)-----5----6(3x2)------7-----8(4x2)------9-----10(5x2) ------- (THE GAP IS 2 AND 1)****** ----------------------------------------------------... 31 May 2010 10:52

Redshift and Microwave radiation favor Atom Totality and disfavor Big Bang #9; ATOM TOTALITY (Atom Universe) theory; replaces Big Bang theory
re: I often wonder whether physicists who love their Big Bang ever really think about what they have accepted. Archimedes, I wonder if they "think" at all... When I hear things like "Now that we know.." instead of "We currently believe..", I can help thinking "They haven't got a clue!" ... 31 May 2010 08:41

Are natural numbers isomorphic to complex numbers?
Euler's identity contains all the goodies; e^(i*Pi) = -1 'e' is implied in the natural numbers (N) by the density of the primes (P). How are 'i' and Pi included in N (if they are)? P/log(P) has a uniform density with fluctuations. Can these fluctuations be used to explain 'i' and Pi? I did some formant a... 10 Jun 2010 00:13

3 dimensions and their 4 directions
On May 30, 4:18 pm, "Clifford J. Nelson" <cjnels...(a)verizon.net> wrote: Directions are: Up down Right left Front back When we move through space we are moving in a 6 directional space grid in only 3 of these directions. Mitch Raemsch 962.04 In synergetics there a... 3 Jun 2010 19:03