Forum: Heads Up Poker
12-02-2007, 02:19 AM
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Replies: 27
Views: 753
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Forum: Science, Math, and Philosophy
11-30-2007, 10:48 PM
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Replies: 10
Views: 503
Re: Geomerty question
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Angle green = angle pink since it is subtended by the same chord . (ie , the chord formed from the vertices of the green angle and yellow angle )
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Forum: Science, Math, and Philosophy
11-30-2007, 07:58 PM
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Replies: 10
Views: 503
Re: Geomerty question
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Angle green = angle pink since it is subtended by the same chord . (ie , the chord formed from the vertices of the green angle and yellow angle )
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Green and...
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Forum: Science, Math, and Philosophy
11-30-2007, 04:09 PM
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Replies: 10
Views: 503
Re: Geomerty question
Angle green = angle pink since it is subtended by the same chord . (ie , the chord formed from the vertices of the green angle and yellow angle )
So we require to show that the blue angle = the...
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Forum: Heads Up Poker
11-29-2007, 10:06 PM
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Replies: 19
Views: 544
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Forum: Science, Math, and Philosophy
11-29-2007, 08:49 PM
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Replies: 24
Views: 339
Re: Maths problem
One important detail I left out .
We move in the direction up-right or down-right .
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Forum: Science, Math, and Philosophy
11-29-2007, 08:09 PM
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Replies: 24
Views: 339
Re: Maths problem
Here is a neat combinatorial argument .
Start from the origin and consider taking 2n steps on the lattice points of the line y=x or y=-x . Clearly the total number of paths is 2^(2n) . The number...
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Forum: Science, Math, and Philosophy
11-29-2007, 07:46 PM
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Replies: 7
Views: 148
Re: Antiderivative problem
int[1000x/(x^2+16)]dx is ln(x^2+16)*500
Now we check that the derivative of ln(x^2+16)*500 =1000x/(x^2+16)
Since we know that the derivative of lnx =1/x , then the derivative of ln(x^2+16) =...
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Forum: Science, Math, and Philosophy
11-28-2007, 11:01 PM
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Replies: 24
Views: 339
Re: Maths problem
Has anyone thought of a combinatorial solution to this ?
I have tried and failed .
We wish to prove :
2nCn + 2c1*(2n-2)C(n-1) + 4c2*(2n-4)C(n-2) + ...+ 2nCn = 4^n
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Forum: Heads Up Poker
11-28-2007, 04:59 PM
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Replies: 9
Views: 566
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Forum: Heads Up Poker
11-28-2007, 11:21 AM
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Replies: 8
Views: 120
Re: HU SNG Win Rate\'s
Using the marginal of error formula , we can say the following :
Solving for 1/(M.O.E)^2 = N , where N is the total number of games played .
In this case , you've played 155 games with a...
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Forum: Heads Up Poker
11-28-2007, 10:57 AM
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Replies: 11
Views: 193
Re: Heads Up Bankrolll requirements
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@jay_shark:
Half-Kelly is safer aproach, amirite?
What about full one? Assuming one is disciplined enough to move up/down in stakes when it's required, is full-Kelly (10 to 15 BIs in...
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Forum: Heads Up Poker
11-28-2007, 12:09 AM
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Replies: 11
Views: 193
Re: Heads Up Bankrolll requirements
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hey, just started takin shots at the $5 heads up STT at PS, don't know what a good bankrolll requirement should be with Heads Up STT....any thoughts or anything about Heads up STT also...
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Forum: Heads Up Poker
11-28-2007, 12:05 AM
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Replies: 11
Views: 193
Re: Heads Up Bankrolll requirements
This is for cash games . I've also answered the question pertaining to sng's in another post below .
For a player following the Kelly criterion , you may use the following approach :
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Forum: Heads Up Poker
11-27-2007, 11:03 PM
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Replies: 8
Views: 254
Re: HU Theory...Endgame
The fact that you have 2500 chips does not matter since you can only lose 500 . It would be equivalent if you had the same amount of chips as villain so we can assume that R= 500/60 = 8.333 according...
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Forum: Probability
11-27-2007, 05:35 PM
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Replies: 2
Views: 166
Re: expected outcome
If the actual odds for team 1 is 125:100 , then the probability team 1 wins is 125/(125+100) ~ 55.55%
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Forum: Poker Theory
11-27-2007, 04:51 PM
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Replies: 6
Views: 71
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Forum: Science, Math, and Philosophy
11-27-2007, 11:27 AM
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Replies: 11
Views: 357
Re: A Putnam Geometry Problem
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Grrrr, jay.
This was one of the years I took the Putnam, and I felt this was an extremely easy question - until finding out, after I took the test, that I had interpreted the question...
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Forum: Science, Math, and Philosophy
11-26-2007, 07:50 PM
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Replies: 11
Views: 357
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Forum: Science, Math, and Philosophy
11-26-2007, 07:43 PM
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Replies: 2
Views: 104
Re: A Olympiad problem (original creation)
LHS = nC0*ncn + nC1*nC(n-1) + nC2*nC(n-2) +...+nCn*nC0
Suppose you have n girls and n boys to choose from to make a sports team but you must select n players . The total number of teams using n...
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Forum: Heads Up Poker
11-26-2007, 11:20 AM
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Replies: 2
Views: 132
Re: $11 NLTRN: TT OOP and all-in preflop
It all depends on the passivity of your opponent . I know at these levels , there are many players who would call a shove with the majority of ace hands which would make you a significant favorite . ...
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Forum: Heads Up Poker
11-24-2007, 08:37 PM
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Replies: 58
Views: 694
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Forum: Science, Math, and Philosophy
11-24-2007, 07:59 PM
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Replies: 11
Views: 357
Re: A Putnam Geometry Problem
Alpha cannot be 1 because we can always find x,y that satisfy the conditions of the problem and such that the area of the rectangle exceeds 1.
We need to find the greatest lowest bound or the...
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Forum: Heads Up Poker
11-24-2007, 07:40 PM
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Replies: 13
Views: 133
Re: A SAGE mistake / sng\'s
With 6-3 off-suit , you can shove profitably if your stack is 2.591343 small blinds after the blinds have been taken or 1.2956715 big blinds . (2.591343/2 = 1.2956715)
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Forum: Heads Up Poker
11-24-2007, 03:13 PM
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Replies: 13
Views: 133
Re: A SAGE mistake / sng\'s
There is no such thing as ICM in heads up sng's .
SAGE is nevertheless very effective towards the end of a game ; especially against a strong opponent . However , with experience , you may learn...
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