Shunyaya Symbolic Mathematical Hardware – Operational Playbooks: Power, UAV & Data Centers (4.4–4.6)

4.4 — Power electronics (I/V ratios and protection)

  • Scenario. Stable division where denominators dip; fewer false trips.
  • Inputs. Current and voltage with alignments from sensor health and filtering.
  • Behavior. The reported ratio is unchanged; the lane communicates fragility and guides soft derates.
  • Week-1 pilot. Display ratio plus bands on the HMI; keep protection thresholds; add advisory soft-derate when bands are low.
  • KPIs & acceptance. Fewer nuisance trips, stable output, unchanged safety margins.
  • Calculator-fast example.
    Given a_f = +0.8, a_g = +0.2
    u_f = 1.0986122886681098, u_g = 0.2027325540540821
    u_div = u_f - u_g = 0.8958797346140277
    a_div = tanh(u_div) = 0.7142857142857144

4.5 — Drones & UAV (GNSS-denied flight)

  • Scenario. Graceful navigation through GNSS shadows or vision occlusion.
  • Inputs. IMU, vision, magnetometer alignments; navigation value unchanged.
  • Behavior. Fusion confidence remains calm across order/rate; aggressiveness scales with confidence.
  • Week-1 pilot. Publish navigation confidence; gate only non-critical motion smoothing by bands.
  • KPIs & acceptance. Lower path jitter under dropouts, fewer hard corrections, same mission timing.
  • Calculator-fast example.
    Given a_IMU = +0.7 (w=2), a_vision = +0.4 (w=1), a_mag = -0.3 (w=1)
    u_IMU = 0.8673005276940532, u_vis = 0.42364893019360184, u_mag = -0.30951960420311175
    U = 2*u_IMU + u_vis + u_mag = 1.8487303813785965, W = 4
    a_out = tanh(U/W) = tanh(0.4621825953446491) = 0.43186141570107806

4.6 — Data centers & edge compute (DVFS perf/watt)

  • Scenario. Increase clocks only on strong evidence; hold steady when not.
  • Inputs. Performance and thermal counters with alignments (counter health, window quality).
  • Behavior. Schedulers read confidence next to counters; DVFS acts proportionally to k := (1 - |a_fused|).
  • Week-1 pilot. Show lane on top 5 perf KPIs; band auto-scaling thresholds; do not change SLA targets.
  • KPIs & acceptance. Higher perf/watt or fewer throttles, unchanged SLA breaches.
  • Calculator-fast example (template).
    Given a_perf = +0.6, a_therm = +0.5
    a_fused = tanh( atanh(0.6) + atanh(0.5) ) = 0.8461538461538461
    k = 1 - |a_fused| = 0.1538461538461539

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