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Forum: Probability

11-11-2007, 11:41 PM

Replies: 5

Geometric Series

Views: 125

Posted By de Moivre

Re: Geometric Series

Rufus has the right idea.

((1/3)^t)*cos(wt) is the real part of [(1/3)e^(iw)]^t. So the sum is the real part of (1/3)e^(iw)/[1-(1/3)e^(iw)], using the formula for the sum of a geometric series.
...

Forum: Poker Theory

11-10-2007, 09:42 PM

Replies: 15

Proof of Fundamental Theorem of Poker?

Views: 148

Posted By de Moivre

Re: Proof of Fundamental Theorem of Poker?

Thinking about it some more, I may have a proof.

One formulation of the theorem is: If you play your hand the way you would play it if you could see your opponent's cards, you gain. I regard...

Forum: Poker Theory

11-10-2007, 02:02 PM

Replies: 15

Proof of Fundamental Theorem of Poker?

Views: 148

Posted By de Moivre

Proof of Fundamental Theorem of Poker?

Sklansky's Fundamental Theorem of Poker says essentially that it is optimal to play your hand in the way you would play it if you could see your opponents' cards. It is said to apply always in heads...

Forum: Poker Theory

10-08-2007, 10:53 AM

Replies: 3

Game theory question re "The Mathematics of Poker"

Posted By de Moivre

Re: Game theory question re \"The Mathematics of Poker\"

Thanks, Shane, that helps.

Forum: Poker Theory

10-07-2007, 09:00 PM

Replies: 3

Game theory question re "The Mathematics of Poker"

Posted By de Moivre

Game theory question re \"The Mathematics of Poker\"

I'm having a little trouble understanding "The Mathematics of Poker" by Chen and Ankenman.

Take for example the AKQ game #1 on page 140. They give the "ex-showdown" payoff matrix. The term is...

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