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A Number with a Shadow

Community description: 3 points · 0 comments on Hacker News

Hacker News | Mar 5, 2026 | davedx

Automated excerpt

At tiny h, f(x + h) and f(x) are nearly identical in floating point. Seed x = (3, 1), value 3, derivative 1 because ∂x/∂x = 1. Type an expression and watch the dual numbers propagate through every operation.

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