A card from a free library — ask anything, no account, works offline. Every card carries its source.
Measuring information: one bit, and a distance
mathematics
A single fair coin carries exactly one bit of Shannon entropy; the Hamming distance counts how many positions two codewords differ in — the ground of error correction. Worked & sealed by the engine — H(½,½) = 1 bit · Hamming(1011, 1001) = 1. [HOLDS; open the seal to re-check.]
source
card id
card_works_information
address
UNPLACED
adjoining cards
- on the shelf of → The Works — sealed, worked demonstrations — a member of the the-works shelf in the keeping
- paves → The Floor of Discovery — one floor, and by its design the fear of God — A worked, engine-sealed demonstration — a paving-stone of the floor of reality.
- demonstrates → H(½,½) = 1 bit · Hamming(1011, 1001) = 1 — A worked demonstration in the same field (information_theory).
- adjacent → Euler's identity, assembled from its parts — Neighbouring worked demonstrations in the same part of the volume.
- adjacent → Vectors and matrices: a dot product and a determinant — Neighbouring worked demonstrations in the same part of the volume.
- adjacent → Ten fair coins: the average and a particular outcome — Neighbouring worked demonstrations in the same part of the volume.
Is this card incomplete? Tell the library — it will call out for more ↗