Introductory example coverage by work
24 of 90 work pages have introductory example routes in this guide. 66 do not yet have a tutorial linked here. Their source editions may contain their own examples.
This is a reading aid. An example route does not measure proof completion, Lean coverage or confidence. Those records remain on each work page.
All examples · Topic map · Glossary · Browse works
Core papers · Monographs and companion volumes · Software packages · Research programs · Experimental laboratories
Core papers
- Paper I: Typed Operator Systems, Seed Rank, and Exact Packet Coordinates: 1. Split and reconstruct a vector · 2. Generate a space from one seed · 3. Change coordinates · 6. Use redundant coordinates · 10. Find a kernel and its fibers · 11. Build spectral projectors · 15. Compose typed operations
- Paper II: Refinement Towers, Weighted Transfer, and Integral Separation of Operator Packets: 4. Assemble transfer blocks · 5. Refine a signal · 11. Build spectral projectors
- Paper III: Typed Transfer, Nonlinear Packets, and Obstruction Theory: 7. Detect lost information · 15. Compose typed operations
- Paper IV: Cyclic Analytic Functions, Reciprocal Families, and Spectral Zero Data: 16. Split reciprocal coefficients into cyclic packets
- Paper V: Polyphase Signal Calculus: 5. Refine a signal · 14. Separate averages and details
- Paper VI: Transfer Semigroups: Stochastic, Bayesian, Fractional, and PDE Realizations: 8. Average with unequal weights · 12. Eliminate a block of unknowns
- Paper VII: Quantum Seed Calculus: 17. Calculate quantum measurement and dephasing
- Paper VIII: Packet Operator Algorithms, Exact Compilation, and GPU Realization: 4. Assemble transfer blocks
- Paper IX: Arithmetic Packets, Dyadic Towers, and Local Polynomial Deformation: 9. Round a binary number · 13. Reconstruct from residues
- Paper X: Universal Residual Seeds and Conditional Occupied-System Completion: 18. Follow a modular lift branch
- Paper XI: Packets, Arithmetic Realization, and Conditional Comparison: 19. Compute Frobenius in a quadratic finite field
- Paper XII: Patching Support, Hecke Packets, and Conditional Automorphic Completion: 20. Separate support from multiplicity
Monographs and companion volumes
- Realization Calculus: No introductory tutorial linked in this guide yet.
- Proof Path Theory: 21. Choose a certificate with shared premises
- Komorebi Methodology: No introductory tutorial linked in this guide yet.
- Large Signal Model: No introductory tutorial linked in this guide yet.
- Special Functions: 24. Calculate coefficients of contracted feedback
- Machine Societies: 22. Recover the memory hidden by a summary
- Komorebi Space: No introductory tutorial linked in this guide yet.
- Realization Boundaries: 7. Detect lost information
- Sufficient Resolution: 22. Recover the memory hidden by a summary
- Machine Native Reasoning: No introductory tutorial linked in this guide yet.
- Quantum and Circuits: 17. Calculate quantum measurement and dephasing
- Physics: No introductory tutorial linked in this guide yet.
- COS Method: No introductory tutorial linked in this guide yet.
- COS Method: formal continuation: No introductory tutorial linked in this guide yet.
- Self-Improving Intelligence: No introductory tutorial linked in this guide yet.
- Self-Improving Intelligence: visual guide: No introductory tutorial linked in this guide yet.
- Grounded Abstraction: 23. Find the reusable part of a calibration
- Machine Theory Compendium: No introductory tutorial linked in this guide yet.
- Realization Calculus: twin edition: No introductory tutorial linked in this guide yet.
Software packages
- Certified Inference: 26. Update a Gaussian model from one observation
- Constructive Repair: 25. Choose repair directions from a finite menu
- RRCT: No introductory tutorial linked in this guide yet.
- Universal Generative Deformation Calculus: No introductory tutorial linked in this guide yet.
- Large Signal Model software: No introductory tutorial linked in this guide yet.
Research programs
- Information Realization: 10. Find a kernel and its fibers · 14. Separate averages and details
- KZFC and Residual Reflection: No introductory tutorial linked in this guide yet.
- Logical Resolution: No introductory tutorial linked in this guide yet.
- p-adic Canonical Realization: No introductory tutorial linked in this guide yet.
- Representation Calculus: No introductory tutorial linked in this guide yet.
- Machine Understanding: No introductory tutorial linked in this guide yet.
- OSL and Neuralese: No introductory tutorial linked in this guide yet.
- OSL and Neuralese: reading edition: No introductory tutorial linked in this guide yet.
- RRCT multispace convergence protocol: No introductory tutorial linked in this guide yet.
- SRIC: external semantic admission: No introductory tutorial linked in this guide yet.
- SRIC: endogenous semantic witness: No introductory tutorial linked in this guide yet.
- Stratified Recursive Improvement Closure: No introductory tutorial linked in this guide yet.
- AVOC: No introductory tutorial linked in this guide yet.
- Hypergraph Lumpability and Bayesian Refinement: No introductory tutorial linked in this guide yet.
- PRISM-1R: No introductory tutorial linked in this guide yet.
- PRISM-1: No introductory tutorial linked in this guide yet.
- Certified Bayesian Inference: 26. Update a Gaussian model from one observation
- Stratified Relational Workspace Theory: No introductory tutorial linked in this guide yet.
- Machine Theory: formal development: No introductory tutorial linked in this guide yet.
- Machine Native Reasoning: wider continuation: No introductory tutorial linked in this guide yet.
- ABC: global RR8 branch: No introductory tutorial linked in this guide yet.
- ABC: source and evidence reader: No introductory tutorial linked in this guide yet.
- AddMul Arithmetic Reconstruction: No introductory tutorial linked in this guide yet.
- Beal: source and evidence: No introductory tutorial linked in this guide yet.
- Catalan Constant: source and evidence: No introductory tutorial linked in this guide yet.
- Collatz and Riemann: source and evidence: No introductory tutorial linked in this guide yet.
- Euler Signal Bridge: No introductory tutorial linked in this guide yet.
- Gaussian Elimination: collected guide: 12. Eliminate a block of unknowns
- Hilbert 12: ambient dual slice: No introductory tutorial linked in this guide yet.
- Hilbert 12: analytic Fourier branch: No introductory tutorial linked in this guide yet.
- Hilbert 12: closure attempt: No introductory tutorial linked in this guide yet.
- Hilbert 12: contracting ambient torsion: No introductory tutorial linked in this guide yet.
- Hilbert 12: cubic divisor development: No introductory tutorial linked in this guide yet.
- Hodge: source and evidence: No introductory tutorial linked in this guide yet.
- Inverse Galois: source and evidence: No introductory tutorial linked in this guide yet.
- IUT Valuation Hulls: No introductory tutorial linked in this guide yet.
- Lehmer: source and evidence: No introductory tutorial linked in this guide yet.
- The Possibility for a Machine Native Mathematics: No introductory tutorial linked in this guide yet.
- Model-Theory Normalization: No introductory tutorial linked in this guide yet.
- Prime-Contact Coherence Calculus: No introductory tutorial linked in this guide yet.
- Resolution Semantics: No introductory tutorial linked in this guide yet.
- Seeded Two-Axis Calculus: No introductory tutorial linked in this guide yet.
- Signal Reconstruction: No introductory tutorial linked in this guide yet.
- Stratified Universality: No introductory tutorial linked in this guide yet.
- Streaming Polyphase Factor Decomposition / SKAT: No introductory tutorial linked in this guide yet.
- Strong Artin: source and evidence: No introductory tutorial linked in this guide yet.
- Physics: curvature states: No introductory tutorial linked in this guide yet.
- Physics: energy and backreaction: No introductory tutorial linked in this guide yet.
- Physics: origin locking: No introductory tutorial linked in this guide yet.
Experimental laboratories
- Agent Dynamics: No introductory tutorial linked in this guide yet.
- Arithmetic J-Space Training Lab: No introductory tutorial linked in this guide yet.
- J-Space Causal Lab: No introductory tutorial linked in this guide yet.
- J-Space Collections: No introductory tutorial linked in this guide yet.
- Workspace Incubator: No introductory tutorial linked in this guide yet.