Purpose. Executive-level, copy-ready guidance to reproduce calculator-fast results and pilots without bundling third-party datasets in this blog. Methods, schemas, and tiny synthetic snippets appear here; complete artifacts (longer scripts, conformance vectors, sample logs) are available via the repository link on this site. Classical values remain unchanged: phi((m,a)) = m. Clamp everywhere: a := clamp(a, -1+eps_a, +1-eps_a).
Scope (case-study overview).
• 11A — EV battery aging (SoC, ETA).
• 11B — Power electronics ratio stability (I/V near zeros).
• 11C — GNSS-denied UAV navigation (fusion & occlusions).
• 11D — Data-center perf/watt (confidence-banded DVFS).
Each case study summarizes approach and outcomes (no data pasted) and ends with a repository link for scripts, CSVs, stamps, and license notes.
What appears in the blog (safe to copy).
• Schemas & formulas. CSV headers, band policies, identities (atanh/tanh, {U,W} fuse).
• Tiny synthetic snippets. Minimal rows that demonstrate the pipeline.
• Stamp lines. One per day to anchor runs; no external licenses included.
• Executive summaries. Plain-English narratives of stability, efficiency, predictability, and ops effort—no raw data.
What does not appear here.
• No third-party CSVs or license text.
• No screenshots of proprietary dashboards.
• No PII or sensitive logs.
Synthetic generator (drop-in Python; plain ASCII).
from math import atanh, tanh
import random
EPS_A, EPS_W = 1e-6, 1e-12
random.seed(0)
def clamp_a(a):
return max(-1+EPS_A, min(1-EPS_A, a))
def band_of(a):
return "A++" if a>=0.90 else "A+" if a>=0.60 else "A0" if a>-0.60 else "A-" if a>-0.90 else "A--"
def synth_run(kpi="demo_kpi", N=6):
print("time,kpi,m,a,band,knobs_hash,build_id,site_id,unit_id,note")
U=W=0.0
for _ in range(N):
m = 100.0 + 5.0*random.uniform(-1,1) # classical value (unchanged)
a0 = 0.7 + 0.4*random.uniform(-1,1) # raw alignment
a = clamp_a(a0)
U += atanh(a); W += 1.0
b = band_of(a)
ts = "YYYY-MM-DDThh:mm:ssZ"
print(f"{ts},{kpi},{m:.3f},{a:.6f},{b},knobs123,build_abc,siteX,unitY,synthetic")
a_out = tanh(U / max(W, EPS_W))
print("# a_out (order-invariant) =", f"{a_out:.6f}")
synth_run()
CSV schema recap (minimum).
time,kpi,m,a,band,knobs_hash,build_id,site_id,unit_id,note
Daily stamp line (append once per day).
SSMH-STAMP day=YYYY-MM-DD knobs={eps_a:1e-6,eps_w:1e-12} conformance=9b2e..44
Reproduction checklist (pass/fail).
- Clamp discipline holds before any
atanh; re-clamp after anytanh. - Fuse parity:
a_out := tanh(U/max(W,eps_w))equals the value from any permutation of inputs. - M2 identities:
a_mul := tanh(atanh(a1)+atanh(a2)),a_div := tanh(atanh(a_f)-atanh(a_g)). - Collapse parity at boundaries:
phi((m,a)) = m. - Bands are monotone and documented; hysteresis prevents flicker.
- Stamps: each day ends with a single ASCII anchor line.
Where to find fuller materials.
For extended scripts, optional conformance vectors, and sample logs, use the repository link provided on this site. Keep blog pages generic; keep concrete files in the repository.
Navigation
Back: Shunyaya Symbolic Mathematical Hardware – Interop: Governance, QA & Minimal UI Wiring (10.7–10.10)
Next: Shunyaya Symbolic Mathematical Hardware – Case Study A: EV Battery Aging (11A)
Directory of Pages
SSMH – Table of Contents
Explore Further
https://github.com/OMPSHUNYAYA/Symbolic-Mathematical-Hardware
Disclaimer
The contents in the Shunyaya Symbolic Mathematical Hardware (SSMH) materials are research/observation material. They are not engineering advice, not a safety standard or certification, and not operational guidance. Do not use for safety-critical, medical, legal, or financial decisions. Use at your own discretion; no warranties are provided; results depend on correct implementation and inputs.
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