{ "title": "Synthetic interval-mean accounting demonstration", "input_contract": "Ordered, nonoverlapping [start_seconds,end_seconds) wall-time intervals with explicit mean_rate and microgray/hour units; one time origin per series.", "formula": "D_microgray = sum(mean_rate * (end_seconds-start_seconds) / 3600)", "arithmetic": "Exact rational arithmetic internally; decimal strings rendered to 50-digit precision.", "scope": "Synthetic accounting only; no native durations or physical timing inferred from RadLab timestamps.", "fixtures": [ { "name": "constant", "intervals": [ { "start_seconds": 0, "end_seconds": 100, "mean_rate": 2 }, { "start_seconds": 100, "end_seconds": 200, "mean_rate": 2 }, { "start_seconds": 200, "end_seconds": 300, "mean_rate": 2 }, { "start_seconds": 300, "end_seconds": 400, "mean_rate": 2 }, { "start_seconds": 400, "end_seconds": 500, "mean_rate": 2 }, { "start_seconds": 500, "end_seconds": 600, "mean_rate": 2 }, { "start_seconds": 600, "end_seconds": 700, 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