View RSS Feed

brh

Small error and the wonders of technology..

Rate this Entry
In my re-derivation of the Patrick Sileo result ROR = e^(-2Bank/EKB) in my version of the Optimal Betting Spread proof found here

http://www.blackjackforumonline.com/...ng_Spreads.pdf , some tinkering with my WolframAlpha App on my Ipad I discovered a pleasing error.

The offending expression was that equation (75) was that the quantity Y = e^2 + O(1/sqrt(n0)). I was playing with the expression (75) using Mathematica online, and it actually gave me the expansion

Y = e^2 { 1 + 2/(3 n0) + O(n0^-2) }

It always slightly worried me that I assumed the next term was of order 1/sqrt(n0) and that n0 of the order of a 1000 may actually deviate from the simplified expression. Now I don't have to worry anymore as it is of order 1/n0 - must have come from the cancellation in eq(75)

The mistake will be corrected in the Brh Systems Book immediately.

Brett.

Submit "Small error and the wonders of technology.." to Google Submit "Small error and the wonders of technology.." to Digg Submit "Small error and the wonders of technology.." to del.icio.us Submit "Small error and the wonders of technology.." to StumbleUpon

Tags: None Add / Edit Tags
Categories
Uncategorized

Comments

About Blackjack: The Forum

BJTF is an advantage player site based on the principles of comity. That is, civil and considerate behavior for the mutual benefit of all involved. The goal of advantage play is the legal extraction of funds from gaming establishments by gaining a mathematic advantage and developing the skills required to use that advantage. To maximize our success, it is important to understand that we are all on the same side. Personal conflicts simply get in the way of our goals.