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Differentiate twice: position → velocity → acceleration
mathematics
A body's position goes as t³ in this toy law. Differentiate once for velocity, again for acceleration. Each differentiation is machine-checked; the second stands on the first. Worked & sealed by the engine — d/dt (t³) = 3t² (position → velocity) · d/dt (3t²) = 6t (velocity → acceleration). [HOLDS; open the seal to re-check.]
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card_works_calculus_chain
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adjoining cards
- on the shelf of → The Works — sealed, worked demonstrations — a member of the the-works shelf in the keeping
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- demonstrates → d/dt (t³) = 3t² (position → velocity) · d/dt (3t²) = 6t (velocity → accelerati — A worked demonstration in the same field (mathematics).
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- adjacent → Two laws of thought, checked over every case — Neighbouring worked demonstrations in the same part of the volume.
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