Interactive demonstrations and implementations of the 21 computer science and artificial intelligence modules in C and Python.
Module 11: Optimal adversarial decision-making using Minimax with Alpha-Beta pruning cut-offs.
Module 02: Evaluates text complexity via average letters and sentences per 100 words.
Module 01: Double-add-modulo algorithm detecting valid Visa, MasterCard, and American Express formats.
Module 21: Computes self-attention weight distribution: Softmax(Q·K^T / √d_k) · V.
Memory safety, bitwise serialization, graph cycle detection, and cryptographic primitives.
| # | Module | Core Mathematical Focus | Time Complexity | Status |
|---|---|---|---|---|
| 01 | Luhn Validator | Card checksum validation & IIN detection | O(N) | Pass (3/3) |
| 02 | Readability Analyzer | Coleman-Liau linguistic index calculation | O(N) | Pass (2/2) |
| 03 | Symmetric Ciphers | Caesar modulo shift & substitution key bijective mapping | O(N) | Pass (2/2) |
| 04 | Tideman Voting | Ranked pairs Condorcet winner & DAG cycle prevention | O(V² + E) | Pass (1/1) |
| 05 | Image Convolution Filters | Sobel gradient edge detection & Gaussian box blur | O(W × H × K²) | Pass (5/5) |
| 06 | Forensic JPEG Carver | 512-byte sector memory dump reconstruction | O(N) | Pass (1/1) |
| 07 | High-Speed Hash Dictionary | djb2 hashing with separate chaining collision resolution | O(1) avg | Pass (2/2) |
| 08 | DNA Profiler | Short Tandem Repeat (STR) forensic pattern matching | O(N × M) | Pass (2/2) |
| 09 | Finance Ledger | Atomic equity trading transactions & market valuation | O(1) | Pass (2/2) |
Graph search, adversarial games, Bayesian inference, reinforcement learning, and transformers.
| # | Module | Algorithmic Mechanism | Domain | Status |
|---|---|---|---|---|
| 10 | Degrees Shortest Path | Breadth-First Search on bipartite graph | Graph Search | Pass (1/1) |
| 11 | Minimax Adversary | Game tree search with Alpha-Beta pruning | Game Theory | Pass (1/1) |
| 12 | Propositional Logic Engine | Model checking & logical entailment verification | Knowledge & Logic | Pass (1/1) |
| 13 | Minesweeper Inference Agent | Subset relation inference & constraint propagation | Knowledge & Logic | Pass (1/1) |
| 14 | PageRank Markov Engine | Iterative algebraic convergence & random surfer walk | Uncertainty | Pass (2/2) |
| 15 | Bayesian Heredity | Joint probability distribution on genetic Bayesian network | Uncertainty | Pass (1/1) |
| 16 | Crossword CSP | AC-3 arc consistency & backtracking with MRV heuristic | Optimization | Pass (1/1) |
| 17 | k-Nearest Neighbors | Euclidean distance classification, Sensitivity & Specificity | Machine Learning | Pass (2/2) |
| 18 | Nim Q-Learning | Temporal difference reinforcement learning agent | Reinforcement | Pass (2/2) |
| 19 | Convolutional Neural Network | 2D Convolution, Max Pooling & Softmax Dense layer | Deep Learning | Pass (3/3) |
| 20 | Context-Free Grammar Parser | Syntactic tree parsing & noun phrase chunking | NLP | Pass (2/2) |
| 21 | Transformer Self-Attention | Scaled dot-product attention & masked token prediction | Transformers | Pass (2/2) |
Built with zero extraneous dependencies, native testing, and deterministic edge execution.