Brain-stormed off opencompletion's activity24-math-plot.yaml
(SymPy + numpy + matplotlib pipeline). Three things in there
map to π* shapes; one doesn't.
Maps:
- algebra-symbolic@v1 — symbolic expression → expand + canonical
ordering. Closes the (x+1)**2 ≡ x**2+2x+1
equivalence class.
- calculus-derivative@v1 — d/dx(f) via sp.diff, re-canonicalized
through algebra-symbolic@v1.
- calculus-integral@v1 — ∫f dx via sp.integrate; sentinel for
unevaluated cases.
- calculus-limit@v1, calculus-series@v1, linear-algebra@v1 —
additional SymPy-friendly phases.
- function-sampled@v1 — bridges symbolic expressions to the
existing time-series-quantized@v1
format. Two functions that render
identically (within sample tolerance)
collapse to same canonical bytes. This
is what plotting CAN become in π* terms.
Doesn't map:
- PNG plot rendering — different DPIs / fonts / palettes all
valid; image bytes aren't canonical. Stays as an output adapter
that COMPOSES with function-sampled@v1.
Hard constraint: SymPy is an OPTIONAL dependency ([math] extra).
Each new π* registers only when sympy is importable, mirroring
the existing html / wikitext / crawler pattern. Fresh checkout
without sympy keeps passing the full test suite (graceful skip).
Multi-phase rollout. Recommendation: Phase 1 (algebra-symbolic@v1)
+ Phase 2 (calculus-derivative@v1) in one commit (~400 LOC total
+ tests + 5S fixtures). Subsequent phases (integral, limit,
series, linalg, function-sampled) each their own commit.
Forward links in the ticket: #000027 (canonical persistence —
algebra/calculus answers inherit audit chain for free), #000028
(witness — symbolic answers become witnessable), 5T/5F (new
fixture surface for symbolic LLM calibration), composition algebra
(deriv+arith, expr+sample compose naturally).
Index updated. Next ID 000031.
russell@unturf.com
62d9c7a440