Komorebi Math
Beta and work in progress. Use the library for research, evaluation and feedback. Check results for your intended use. The release guide explains the checks needed for publication.
Komorebi Math provides finite mathematical constructions as Python objects, algorithms and certificates. Its common language connects operator realizations, coordinates, packet decompositions, refinement, arithmetic and numerical models.
Start a calculation
The user guide covers installation, the first programs and the meaning of a certificate. The worked examples develop complete calculations with independent controls. The public API reference lists the available domain interfaces.
Choose a mathematical guide
| Goal | Guide |
|---|---|
| Construct operators, seeds and packets | Unified language |
| Change bases or transport finite data | Coordinate atlas |
| Analyze and synthesize coordinates | Analysis and synthesis, redundant frames |
| Process finite or streamed signals | Signal processing, Fourier recovery |
| Compute derivatives and nonlinear packet jets | Nonlinear calculus, scalable execution |
| Integrate polynomials or compare exact expressions | Finite integration, typed expressions |
| Work with recurrences and generating functions | Sequences, generating functions |
| Bound positive quadratic-form tails | Quadratic forms |
| Evaluate the supported special-function families | Special functions |
| Form finite quotients | Join semilattices |
| Study finite quantum models | Quantum and memory contracts, Dirac modes |
Interpret and preserve results
A certificate records validity, arithmetic class, residuals and assumptions. It distinguishes exact, numerical and conditional results. A saved record describes a past calculation. Rerun the calculation to check it again. Read the persistence guide, export guide and stable API contract when connecting calculations or exchanging results.
Develop and reproduce
The platform policy distinguishes required dependencies from optional runtimes. The release guide gives the maintainer workflow for source tests, strict documentation, clean installations, reproducible distributions and platform qualification.