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by timeds
January 29th, 2010, 6:55 pm
Forum: Brainteaser Forum
Topic: Backgammon double
Replies: 0
Views: 33516

Backgammon double

<t>You are betting on a game of backgammon against the house, the winner takes one hundred dollars from the loser. Ownership of the "double chip" means that at, any point during the game, the holder can 'double up' the bet to be two hundred dollars; the other player must accept or immediately forfei...
by timeds
May 4th, 2009, 12:36 pm
Forum: Careers Forum
Topic: Interview with Obama
Replies: 66
Views: 45452

Interview with Obama

For those of you looking for which way the wind is blowing..."We don’t want every single college grad with mathematical aptitude to become a derivatives trader. "After the great recession
by timeds
April 15th, 2009, 4:10 pm
Forum: Brainteaser Forum
Topic: How do you define convergence in L^2 space.
Replies: 10
Views: 42267

How do you define convergence in L^2 space.

<t>I'm sorry iliketopology but I think you're fighting against the tide here.I think that the brainteaser forum here is fairly strong. Nice problems, interesting solutions, everything from riddles to hardcore problems and a good atmosphere of discussion. That's why people like me come and read and o...
by timeds
February 10th, 2009, 3:34 pm
Forum: Brainteaser Forum
Topic: wizards
Replies: 14
Views: 45308

wizards

Am I being dumb? E.g. case A if you know the wizard is 64 with 2 kids they could be 8 and 8, or 4 and 16?
by timeds
February 10th, 2009, 2:45 pm
Forum: Brainteaser Forum
Topic: wizards
Replies: 14
Views: 45308

wizards

<t>Mathematically I don't think there is a unique solution.Consider case A number on bus = 16, case B number on bus = 12Case A: feasible situation is 2 kids aged 8 and 8 respectively (fits criteria)Case B: feasible situation is 2 kids aged 8 and 4 respectively (fits criteria)However on the basis tha...
by timeds
January 28th, 2009, 9:04 pm
Forum: Brainteaser Forum
Topic: How many T's
Replies: 22
Views: 49484

How many T's

<t>OK looking at it again I didn't think of rotating the T's, which is clearly allowed in the question (otherwise r/2 fairly obvious).If there is a minimum distance (r/2) between any two on the line then they are clearly countable (just go along the line in r/2 steps counting them)Clearly if you rot...
by timeds
January 28th, 2009, 2:48 pm
Forum: Brainteaser Forum
Topic: How many T's
Replies: 22
Views: 49484

How many T's

<t>Note that countable unions of countable sets are countable.Given rationals q, r > 0 set T(r,q) to be the set of T's with length > r and intersecting with the line y=qThen there are countably many T's with top length > r along the line y=q (minimum distance between such T's is r/2) and each T(r,q)...
by timeds
December 17th, 2008, 1:24 pm
Forum: Brainteaser Forum
Topic: Thrones
Replies: 13
Views: 47271

Thrones

The thrones are white."he waits until the king finishes his business" ... was the giveaway
by timeds
November 17th, 2008, 9:30 pm
Forum: Brainteaser Forum
Topic: quantyst's Number contains ALL truth!
Replies: 17
Views: 48511

quantyst's Number contains ALL truth!

Worse still, there is a finite number of truths that will ever be identified - some are trivial and others of great consequence. The difference between the two is ultimately aesthetics (the clock to the end of the universe is ticking... how many consequential truths did you discover today?)
by timeds
November 17th, 2008, 5:46 pm
Forum: Brainteaser Forum
Topic: quantyst's Number contains ALL truth!
Replies: 17
Views: 48511

quantyst's Number contains ALL truth!

Just as there are uncountably many numbers with uncountably many relationships between them, there are uncountably many true statements.So sorry, your number does not contain all truths.
by timeds
November 10th, 2008, 7:51 pm
Forum: Brainteaser Forum
Topic: No Brainer...
Replies: 14
Views: 51024

No Brainer...

<t>The law of averages,if I have got this right means...that if six monkeys were thrownup in the air long enough... they would land on their tailsabout as often as they wouldland on their... Heads, getting a bit ofa bore, isn't it? A bore?Well... What about the suspense?Rosencrantz and Guildenstern ...
by timeds
October 28th, 2008, 7:09 pm
Forum: Book And Research Paper Forum
Topic: Good, but inexpensive Advanced Macroeconomics textbook
Replies: 13
Views: 158810

Good, but inexpensive Advanced Macroeconomics textbook

<t>*Bumped*Could anyone recommend a significant book or paper by one of the titans (Galbraith, Keynes, Friedman etc) in macro or governmental economics?I'm looking for something that has intellectual enthusiasm and clarity, that could provide some inspiration whilst read alongside a traditional text...
by timeds
September 23rd, 2008, 3:35 am
Forum: Brainteaser Forum
Topic: .101001000100001000001000000100.................
Replies: 7
Views: 50028

.101001000100001000001000000100.................

If your number is x, then for any integer N then after some initial digits the decimal expansion of Nx continues ...N0N00N000N000... so Nx can't be rational.
by timeds
May 29th, 2008, 4:34 pm
Forum: Brainteaser Forum
Topic: Decimal Points
Replies: 9
Views: 55533

Decimal Points

QuoteOriginally posted by: ChicagoGuySo you would be able to give a surjective function from the set A to the set of primes?Ummm (a / b ) -> the prime after the decimal point?
by timeds
May 23rd, 2008, 1:45 pm
Forum: Brainteaser Forum
Topic: Decimal Points
Replies: 9
Views: 55533

Decimal Points

<t>Prime numbers are countable and infinite by that Euclid fellow's rather nice proof.In fact both sets are countable and of equal size. Draw a table with rows prime numbers and columns natural numbers, each entry in the table corresponds to (number).(prime). Count these elements of the set by count...
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