# Slot Math (slotmath.org)

> Slot Math is an independent mathematical research initiative and client-side probabilistic verification suite for Online Slot Games, Discrete Reel Cycles & Provably Fair RNG Reels.

## Mission
To provide rigorous probabilistic analysis, open-source verification tools, and quantitative education for modern video slots, demonstrating why predictive bots fail, auditing multi-tier configurable RTP profiles, and providing verifiable client-side calculation engines.

## Core Tools
- [RTP Inspector & Sample Size Power Auditor](https://slotmath.org/en/tools/rtp-inspector/): Central Limit Theorem (CLT) confidence interval calculator and hypothesis testing sample size power evaluator.
- [Reel Volatility & Monte Carlo Ruin Simulator](https://slotmath.org/en/tools/volatility-simulator/): Multi-path Markov simulations, continuous Brownian diffusion ruin probabilities (ψ(B)), and maximum expected drawdown.
- [Bonus Buy EV & Variance Multiplier Analyzer](https://slotmath.org/en/tools/bonus-buy-analyzer/): Heavy-tailed feature buy distribution evaluator, dud rate quantification, and capital attrition modeling.
- [Bankroll Preservation & Decay Calculator](https://slotmath.org/en/tools/bankroll-decay/): Turnover drag simulator measuring capital half-life across certified vs degraded operator tiers.
- [Operator RTP Benchmark & Parity Audit](https://slotmath.org/en/benchmarks/operator-rtp-audit/): Empirical multi-operator audit comparing 1win, Stake, Roobet, and BC.Game across 12 flagship titles.
- [Quantitative Slot Glossary](https://slotmath.org/en/learn/glossary/): 18 formal mathematical definitions with KaTeX formulas and Schema.org DefinedTermSet metadata.
- [Analysis Tools Hub](https://slotmath.org/en/tools/): Complete suite of client-side deterministic verification engines.

## Research Publications
- [Research Hub](https://slotmath.org/en/research/): Academic preprints, 100M-spin open datasets, BibTeX citations, and Python verification test harnesses.
- [Educational Dossiers](https://slotmath.org/en/learn/): 20 peer-reviewed quantitative research dossiers across 4 core pillars (RTP Mechanics, Volatility & Variance, Feature Buy Math, Bankroll Algorithms).

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

## Operational Model & Commercial Disclosure
Slot 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, Slot 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://slotmath.org/llms-full.txt): Complete architectural specifications, mathematical formulas, and probability proofs.
- [GitHub Organization](https://github.com/slotmath-labs): Open-source verification tools, simulation scripts, and reproducibility benchmarks.