# Blackjack Math (blackjackmath.org)

> Blackjack Math is an independent mathematical research initiative and client-side probabilistic verification suite for Blackjack Strategy & Card Counter Mathematics.

## Mission
To provide rigorous probabilistic analysis, open-source verification tools, and quantitative education for Blackjack Strategy & Card Counter Mathematics, demonstrating why betting progression systems fail and providing verifiable client-side calculation engines.

## Core Tools
- [Basic Strategy Trainer & EV Error Calculator](https://blackjackmath.org/en/tools/strategy-trainer/): Interactive decision drill quantifying exact mathematical EV penalties for suboptimal decisions against any dealer upcard.
- [Table Rules & House Edge Calculator](https://blackjackmath.org/en/tools/house-edge-calculator/): Combinatorial auditor evaluating baseline house edge, player RTP, and rule variations (decks 1–8, S17/H17, 3:2 vs 6:5, DAS, surrender).
- [True Count to EV & Kelly Bet Sizing](https://blackjackmath.org/en/tools/count-to-ev/): Real-time conversion of Running Count to True Count, player statistical advantage calculation, and proportional Half-Kelly bet ramp allocations.
- [Session Variance & Risk of Ruin Simulator](https://blackjackmath.org/en/tools/session-simulator/): Continuous Brownian motion and Feller ruin simulator modeling confidence bands (±1σ, ±2σ, ±3σ) and Don Schlesinger N-Zero (N₀) horizons.
- [Analysis Tools Hub](https://blackjackmath.org/en/tools/): Complete suite of client-side deterministic verification engines.

## Research Publications
- [Research Hub](https://blackjackmath.org/en/learn/): 22 peer-reviewed quantitative research dossiers, combinatorial decision trees, finite-deck hypergeometric sampling proofs, and house edge deconstructions across 4 core pillars.

## Multilingual Support
- [English Version](https://blackjackmath.org/en/): International research portal and tool suite.
- [Versão em Português](https://blackjackmath.org/pt/): Portal de pesquisa e ferramentas matemáticas para o Brasil.
- [Versión en Español](https://blackjackmath.org/es/): Portal de investigación y herramientas para América Latina.
- [Русская версия](https://blackjackmath.org/ru/): Исследовательский портал и аналитические инструменты для СНГ.

## Operational Model & Commercial Disclosure
Blackjack Math operates independently by auditing third-party mathematical gaming algorithms and providing reproducible quantitative simulations. All verification tools run 100% locally in user browsers via native Web APIs, with zero credentials or private data transmitted to external servers. To sustain our open research lab, Blackjack Math maintains transparent affiliate partnerships with investigated gaming networks, receiving referral compensation when users access live operator environments through disclosed gateway routes.

## Optional
- [Full Specification](https://blackjackmath.org/llms-full.txt): Complete architectural specifications, mathematical formulas, and probability proofs.
- [GitHub Organization](https://github.com/blackjackmath-research): Open-source research repositories, combinatorial decision engines, 100M-hand simulation datasets, and reproducibility benchmarks.