The Mechanism · Gated-generation receipt

gen-define-dynamic-range-and-give-one-short-worked-example-9299

stable pending witness
2026-05-29 03:32:31 UTC · anthropic/claude-sonnet-4-5

Prompt

Define dynamic range and give one short worked example.
55 chars

Generation

# Dynamic Range **Dynamic range** is the ratio between the largest and smallest values that a system can represent or measure, typically expressed in decibels (dB). **Formula:** Dynamic Range (dB) = 20 log₁₀(V_max/V_min) for voltage/amplitude, or 10 log₁₀(P_max/P_min) for power. --- ## Worked Example An audio recording system can handle a maximum signal of 10V before clipping and has a noise floor of 0.001V. **Calculate the dynamic range:** Dynamic Range = 20 log₁₀(10/0.001) = 20 log₁₀(10,000) = 20 × 4 = **80 dB** This means the system can represent signals across an 80 dB range, from the quietest detectable sound to the loudest before distortion.
17 tokens in · 222 tokens out · 4961 ms · $0.0034

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
4968.9 ms
Base LLM
4961.0 ms
Verifiers
0.5 ms
Gates
0.1 ms
Cost
$0.0034

Trail

03:32:31 received prompt_chars=55 verifiers=['scripture_anchors', 'theology_doctrine']
03:32:31 red_gate decision=pass reason=no disqualifying input patterns detected
03:32:35 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=17 tokens_out=222 latency_ms=4961.0 cost_usd=0.0034
03:32:35 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:32:35 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:32:35 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:32:35 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:32:35 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:32:35 signed hash_algo=sha256 hash=sha256:58b634d5ce1eeb0bc0652214ebb8bd02bbca50fb49ffc63921a8e50fc847fef6

Content hash

sha256:58b634d5ce1eeb0bc0652214ebb8bd02bbca50fb49ffc63921a8e50fc847fef6

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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