Linear versus Exponential Change
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State
Linear change adds a constant difference per step; exponential change multiplies by a constant ratio per step — and the ratio wins every long race.
Show
Adding 2 from 2 gives 2, 4, 6, 8; doubling from 2 gives 2, 4, 8, 16 — from a tie, the doubling pulls away by step three.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.