Search found 57 matches

by Eric Demopheles
20 Jan 2014 21:49
Forum: Technology & Economic Forum
Topic: BR Maths Corner-1
Replies: 1817
Views: 123746

Re: BR Maths Corner-1

An achievement of a Chinese-born mathematician in remarkable circumstances: https://www.simonsfoundation.org/quanta/20130519-unheralded-mathematician-bridges-the-prime-gap/ he had found it difficult to get an academic job, working for several years as an accountant and even in a Subway sandwich shop...
by Eric Demopheles
12 Nov 2010 12:28
Forum: Strategic Issues & International Relations Forum
Topic: Islamism & Islamophobia Abroad - News & Analysis
Replies: 4002
Views: 178623

Re: Islamism & Islamophobia Abroad - News & Analysis

Ashura seems to be a festival commemorating the martyrdom of Imam Hussein. It appears that some people get a bit too carried away in the celebration and unaccustomed people find it disturbing. Jihad watch on Ashura in London: http://www.jihadwatch.org/2010/11/like-a-scene-from-a-horror-film-shiites-...
by Eric Demopheles
12 Nov 2010 12:18
Forum: Strategic Issues & International Relations Forum
Topic: Islamism & Islamophobia Abroad - News & Analysis
Replies: 4002
Views: 178623

Re: Islamism & Islamophobia Abroad - News & Analysis

New York Times' heart bleeds for Muslims in America: http://www.nytimes.com/2010/09/06/us/06muslims.html American Muslims Ask, Will We Ever Belong? By LAURIE GOODSTEIN Published: September 5, 2010 America is the land of all kinds of freedoms: “We worry: Will we ever be really completely accepted in ...
by Eric Demopheles
12 Nov 2010 02:31
Forum: Technology & Economic Forum
Topic: BR Maths Corner-1
Replies: 1817
Views: 123746

Re: BR Maths Corner-1

maths shaken by the 'unprovable' This matter of "unprovability" and its ramifications has affected philosophy more than mathematics itself, I would say. Kurt Goedel proved that it is not possible to prove consistency of systems like arithmetic, and thus, most of mathematics. A concrete ex...
by Eric Demopheles
07 Nov 2010 16:57
Forum: Technology & Economic Forum
Topic: BR Maths Corner-1
Replies: 1817
Views: 123746

Re: BR Maths Corner-1

some magazines which publish articles (or book reviews) about recent changes in Mathematics for non-experts like myself (I am a science graduate but not a Mathematician). mathematical intelligencer Try "Notices of the american mathematical society" also, available online at: http://www.am...
by Eric Demopheles
05 Nov 2010 00:44
Forum: Technology & Economic Forum
Topic: BR Maths Corner-1
Replies: 1817
Views: 123746

Re: BR Maths Corner-1

Nandu wrote:So, was it because it was "generic" or because it had a particular structure that made the columns linearly dependent?


Sorry, I made a mistake above. I had meant to write that a generic matrix had nonzero determinant.
by Eric Demopheles
04 Nov 2010 13:52
Forum: Technology & Economic Forum
Topic: BR Maths Corner-1
Replies: 1817
Views: 123746

Re: BR Maths Corner-1

Here's a nice classroom experience story, based on the principle that a "generic" matrix has zero oops, sorry, nonzero determinant:

http://www.thehcmr.org/issue1_1/gaitsgory.pdf
by Eric Demopheles
04 Nov 2010 13:45
Forum: Technology & Economic Forum
Topic: BR Maths Corner-1
Replies: 1817
Views: 123746

Re: BR Maths Corner-1

Yes, and the proof is really very simple, suppose if (p1,p2,p3,.... p_n) are the only prime numbers.. take $ (p1)(p2)(p3)..(p_n)+1 $ is either prime, or not divisible by any of the primes above (it will leave a remainder or 1) .. in any case you found a prime larger than p_n ...so you found 1 more....
by Eric Demopheles
04 Nov 2010 13:33
Forum: Technology & Economic Forum
Topic: BR Maths Corner-1
Replies: 1817
Views: 123746

Re: BR Maths Corner-1

Yeah, he should have moved each guest from room n to room 2n, and given the m-th new guest room 2m-1. Well, here you first create an infinite number of vacant rooms. Why would you do that, unless you were knowing in advance about the infinite number of incoming guests? Anyway, here's yet another de...
by Eric Demopheles
03 Nov 2010 16:45
Forum: Technology & Economic Forum
Topic: BR Maths Corner-1
Replies: 1817
Views: 123746

Re: BR Maths Corner-1

Next one.

Simplify (x-a)(x-b)(x-c).....(x-z).

:D
by Eric Demopheles
03 Nov 2010 16:38
Forum: Technology & Economic Forum
Topic: BR Maths Corner-1
Replies: 1817
Views: 123746

Re: BR Maths Corner-1

Nandu wrote:Hmm... turns out the solution is not much different from the Josephine puzzle.


What is the Josephine puzzle?
by Eric Demopheles
03 Nov 2010 13:35
Forum: Technology & Economic Forum
Topic: BR Maths Corner-1
Replies: 1817
Views: 123746

Re: BR Maths Corner-1

Good work, Nandu. Next is a lesson in plausible deniability, a notion much discussed in this board. I found the story from the wikipedia page for "Supertask". Might give the strategists some ideas. :D A man called Prometheus angers Zeus, so Zeus gathers an infinite number of demons and iss...
by Eric Demopheles
02 Nov 2010 23:33
Forum: Technology & Economic Forum
Topic: BR Maths Corner-1
Replies: 1817
Views: 123746

Re: BR Maths Corner-1

Puzzle 2 : Grandma made a cake whose base was a square of size 20 by 20 cm and the height was 10 cm. She put chocolate icing on top of the cake and on the sides, but not on the bottom. She wanted to divide the cake fairly among her 8 grandchildren so that each child would get an equal amount of the...
by Eric Demopheles
02 Nov 2010 21:13
Forum: Technology & Economic Forum
Topic: BR Maths Corner-1
Replies: 1817
Views: 123746

Re: BR Maths Corner-1

I found it in the interwebs. The solution is quite simple. But it's fun to try nevertheless. It is important to do the puzzles in the order. Puzzle 1 helps in obfuscating the mind as preparation for the second. Puzzle 1 : Grandmother made a cake whose base was a square of size 20 by 20 cm and the he...
by Eric Demopheles
01 Nov 2010 00:32
Forum: Technology & Economic Forum
Topic: BR Maths Corner-1
Replies: 1817
Views: 123746

Re: BR Maths Corner-1

Here's a puzzle discussed at Terry Tao's blog:

http://terrytao.wordpress.com/2008/02/0 ... rs-puzzle/

Solutions and detailed arguments are in the comments.
by Eric Demopheles
01 Nov 2010 00:28
Forum: Technology & Economic Forum
Topic: BR Maths Corner-1
Replies: 1817
Views: 123746

Re: BR Maths Corner-1

also 'intellectually' inclined which does not stand up to scrutiny based on the interesting but noway profound prblems discussed here notwithstanding some formidable minds posting here. How about some light tones then? Two calculus jokes from: http://www.workjoke.com/mathematicians-jokes.html 1. A ...

Go to advanced search