Table of Contents
Mathematics   The Basics   Odds and Ends   Probability   Statistics   Calculus   Efficiency   Linear Algebra   Least Squares Estimates   Logarithms, etc.	Betting Strategies   Risk of Ruin   Bet Sizing   Cover Betting   Kelly Betting   Progressive Betting   Proportional Betting
Consequences   Rules   External Consequences   Streaks   Cut Card Effect	Counting Strategies   Definitions   Card Counting Systems   The True Count Theorem   Unbalanced True Count Proof
Reference   Glossary of Terms   Effects of Removal   Expected Value Tables   Reference Tables, etc.	Playing Strategies   Basic Strategy   Indices   Shuffle Tracking / Card Location   Alternative Strategies
Computer Science of Blackjack Computer Algorithms / Programs Flowcharts

Mathematics The Basics Numbers Tables of Facts and Formulas Odds and Ends Formula for (M) Consecutive Heads Not Occurring in (N) Total Flips Law of Independent Trials: Is it Flawed? Law of Independent Trials: Is it Flawed? Part II Percentage Odds "To" One Odds "For" One Expectation Probability The Probability of two Events both Occurring The Probability of Either of two Events or both Occurring Combinations Permutations Conditional Probability Blackjack Probabilities Statistics Advantage is a bogus statistic Effects of Kurtosis ? None ! Generalized Correlation Formula variance of shoe Effect of Standard Deviation on Playing Strategy in BlackJack What is standard deviation? Averages The Standard Deviation Standard Error of the Mean The Normal Distribution Confidence Intervals Standarization Details Reference Tables, etc. Correlation Details Calculus Functions Field Guide to Functions The Derivative Efficiency Scoring the Shoe Strategies (Long) BC/PE/IC Count Analyzer Version 3.5 Efficiency Linear Algebra Linear Algebra Tutorial Least Squares Estimates Curve Fitting Details The Method of Least Squares Logarithms, etc. What in the World is a Logarithm Powers Link Polynomials, Radicals, Functions, etc. Exponential Growth vs Logarithmic Growth Reference Glossary of Terms Tables of Facts and Formulas Favorite Mathematical Constants Table of Mathematical Constants Everyday Mathematics Glossary PROPHET Statguide: Glossary Hamilton's Math to Build On Glossary Hyperstat Glossary Statistics Glossary Effects of Removal Generic Betting EORs Generic Playing EORs Expected Value Tables 1D, H17, DOA, RSA=0, RSP=4 1D, S17, DOA, RSA=0, RSP=4 2D, H17, DOA, DAS, RSA=0, RSP=4 2D, H17, DOA, DAS, RSA=0, RSP=6 2D, S17, DOA, DAS, RSA=0, RSP=4 4D, H17, DOA, DAS, RSA=0, RSP=4 4D, S17, DOA, DAS, RSA=0, RSP=4 6D, H17, DOA, DAS, RSA=0, RSP=4 6D, S17, DOA, DAS, RSA=0, RSP=4 8D, H17, DOA, DAS, RSA=0, RSP=4 8D, S17, DOA, DAS, RSA=0, RSP=4 Reference Tables, etc. Blackjack Formula (edited) Charting the Games by Desirability Indices (Revised) Bankroll (from ROR) Calculation [JavaScript calculator] General Risk of Ruin Calculation [JavaScript calculator] Number of hours to reach goal [JavaScript calculator] The Probability of Increasing Ones Bankroll [JavaScript calculator] The Calculation of N0 [JavaScript calculator] Two very useful Java Applets a) For determining Areas under Standard Normal Density (bell) curves b) For determining Quantiles of the Normal Distribution Unit Normal Linear loss Integral (UNLLI) Betting Strategies Risk of Ruin Detailed CE analysis. Using RA-Fractions to Optimize DI or RoR. Why What You Got Ain't What You Expected: Edge, Volatility, and Risk of Ruin in Gambling Expectation with possible ruin Risk of Ruin Charts Effect of Trip Ruin on Trip EV (A longy but a goody) Risk of Ruin Spreadsheet Effect of proportional betting on trip risk Effect of Overhead on Risk Of Ruin Beyond Don's Charts? Risk, Ruin, and Trip-Stake Wipeout Risk of Ruin Formulas Goal Oriented Risk of Ruin    Bet Sizing Optimal Betting 50-50 and Even-Money Equivalent Bets Effect of Bet Size on Aggregate DI ?Maximizing logarithmic increase Direct Method once more Theory of Optimal Betting once more The Theory of Optimal Betting Spreads Optimal Betting and Blackjack Attack, Ch 10 Optimal Betting Strategy There must be a formula There is a formula Optimum Betting and the Rating of Systems The Final Chapter to the Optimal Betting Saga Demonstration of Equivalence    Cover Betting 1, 2, 6, deck betting cover costs (revised-long)   Kelly Betting Re: Whew! Playing two hands and Kelly (not short) Martingales and Kelly Criterion When and Why Kelly "Breaks Down". FAQ: Kelly Criterion, Utility Functions, and Certainty Equivalent Optimal Betting Question? Null Result I Null Result II Null Result III Finding the SD for N hands of Kelly bets for BJ What is Kelly's Theorem: Part I What is Kelly's Theorem: Part II Exponential Growth vs Logarithmic Growth. Long Run Formula For Kelly Betting Kelly Generalization   Progressive Betting The Small Effects of Multiple Losses Blackjack and "Money Management" (long) Mathematical Proof That Progressions Cannot Overcome Expectation Progression Betting Review of Progressive Betting Systems Modern Progression Systems Ruin for Negative and Positive Progressions--The Martingale.   Proportional Betting What Proportional Betting Does to Your Win Rate. Counting Strategies Definitions Card Counting Systems Unbalanced system questions and answers System Tag Values and Ratings Re: Gordon w/ All Side Counts Very Simple, Yet Powerful, UBZ System for DD The True Count Theorem Unbalanced True Count Proof Playing Strategies Basic Strategy Indices Index Generator Illustrious 18 Revisited (R18) Index generation and usage methods "Hit on the Left" method for using indices. Unbalanced Confusion Rounding, truncating Moss's Algebraic Approximation Formula Understanding Index Numbers Illustrious 18 Indices Java Flashcard Practice program Shuffle Tracking / Card Location The Blackjack Shuffle-Tracking Treatise Shuffle Tracking, is it overall effective? Compared to counting? Shuffle Tracking: Derivation of "NRS"s "r" and "N" Shuffle Tracking Q and A Alternative Strategies Optimal (RA) Insurance Strategy Risk Averse Strategy Discussion Consequences Rules External Consequences Dunbar's Tax Analyzer The Cut-card Effect Effect of Count on Dealer Probs. Floating Advantage, and 'Off-Balanced' Counts Zman's Reply - long Dealer break rate Mathematics of Upcard Chicanery In Search of... Clumping (was Re: Reply to Ken Fuchs) Dealer Rating Analysis Ameliorating the cost of cover Cost of cover betting and pref shuffle Why Can't I Win Anything? Streaks Streaks - Wins and Losses in a Row Totals Report: Win, Loss & Tied Percentages by True Count Cut Card Effect Cut Card Effect at a Crowded Table Cut Card Data at various penetrations Computer Science of Blackjack Computer Algorithms / Programs Blackjack Game and Basic Strategy Calculator (Version 4.1) Introduction to SIMSIMP.BAS Blackjack Counting System Generator (Version 1.3) BJ Game and Practice Shareware Program Numerical Recipes in C thcalc.xls spreadsheet The ISO C Programming Companion Page Re: Another addition to formula [ C Code to calculate correlation of two counts ] A Simple and Efficient Pseudo-Random Bit Generator Sorting and Searching Algorithms: A Cookbook bjstrat index generator Flowcharts Basic Strategy Flowchart