Math

Extending a continuous function
Assume f:(0,1] -> R is continuous and for all sequences {sj} of elements from (0,1] /\ Q for which sj -> 0, the sequence f(sj) -> 0. Show that for all sequences of elements {sj} from (0,1] for which sj -> 0, the sequence f(sj) -> 0 In otherwords, show f can be continuously extended to 0. Proposition. f in ... 27 May 2010 05:59

"Book Smart" NP-Complete Method: Musatov is closing in... Gaining... People are starting to talk...
"Book Smart" NP-Complete scenarios are often written out as complicated conditional dependent problems involving multiple sets or pieces of data, such as the NP-Complete Dean's List problem given by Cook. It is easy to incorrectly oversimplify. One strategy to avoid this mistake is write code in a two-step pro... 24 May 2010 07:57

Words to remember (was Re: for x,y > 7 twins(x+y) <= twins(x) + twins(y))
In article <htckmd$77h$1(a)charm.magnus.acs.ohio-state.edu>, Jim Burns <burns.87(a)osu.edu> wrote: One interesting thing about words like "clearly" or "obviously" is that they have a tendency to collect in the least convenient part of an argument, in much the same way hair collects in a drain. I thou... 24 May 2010 01:33

The KBH Text Messaging System
Everyone knows the problem of text messaging from a mobile phone. The message must be short for the system and also short for the user input that does not have a full keyboard. Here's one source of abbreviations that are used: http://www.webopedia.com/quick_ref/textmessageabbreviations.asp And often a single... 23 May 2010 23:24

how to calculate the derivative of a matrix norm
suppos matrix A = X-GSF' , and J = (||A||F ) 2 = tr(AA*) is the square of A's Frobenius norm. now how to calculate the derivative of J respect to S? because J = tr(AA*), and d(J)/d(A) = 2A , can i calculate it like the following? d(J)/d(S) = [d(J)/d(A)] [d(A)/d(S)] ? it seems not right. how to solve this proble... 25 May 2010 13:32

INFINITE LIST OF PRIME NUMBERS BY PLACEMENT BY NEW -1TANGENT MATHEMATICS
This program and its method which we will patent soon has been exclusively reposited for research purposes only with Clay Mathematics Cambridge, Mass, and with Professor Richard Chandler of Reed University , Portland Oregon by explicit consent. We do not have any other associations with the latter two or anyone el... 23 May 2010 11:22

THE HOLY GRAIL ~ CANTOR DISPROOF
Herc7 <ozdude(a)australia.edu> writes: And Graham Cooper really is the Groom Computer!!! It seems to me that a Groom Computer would be one suited for finding Grooms. Perhaps you should find out whether Eve has a brother. Of course, Graham Cooper really is the Cracker Barrel maker in any case. It's a shame ... 4 Jun 2010 02:42

Simple permutation question
Q. How many 6 digit number without repetition of digits are there such that the digits are all non-zero and 1 and 2 do not appear consecutively in either order. Soln: The Book considers for cases (i) Neither 1 nor 2 appears as digits : (P 7 6) = 7! (ii) 1, but not 2 appears as a digit... 24 May 2010 10:08

A question on Farey's sequences.
Is it possible to calculate the place k of a given reduced fracction a / b in the Farey's sequence of order N?. And viceversa: Given the position k in a sequence of order N, to deduct the fraction a / b. Example: The fracction 4 / 97 occur in the place 197 of the Farey's sequence of order 113. How can I know it ... 26 May 2010 16:57

theory behind the upper limit approx 400 million light years Chapt 11, Space is EM; magnet & iron filings Experiment #106; ATOM TOTALITY
Let me pause for a moment to try to explain this theory for the layperson, and no math to scare away anyone. In fact, I find it better to explain with little to no math rather than the usual flooding of math. I find those that rely on math want to obfuscate the situation are helpless and hapless in clarity so the... 23 May 2010 02:49