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concepts → Theorem

Theorem

Source coding theorem

also called noiseless coding theorem · source coding · compression theorem

timeless2 connections

you cannot compress below the entropy — and you can get arbitrarily close

Where it sits

The prism has six jobs across and eight layers down. Its primary cell ismeasure × L0. Hatched cells cannot exist — a GPU does not learn, an institution does not infer.

What must come first — and what it unlocks

Left to right is reading order, derived from the prerequisite_of edges. Nothing here is hand-ordered: the diagram is the graph.

nothing comes first — this is a starting pointSource coding theoremnothing depends on it yet — a leaf in the reading order

What kind of thing it is — and what it is made of

It is made of: Prefix code, Rate.

Where to read it

The chapter that introduces it, and any chapter that uses it again.

05Codesact 1 · The Substrate

Where it comes from

paperA Mathematical Theory of CommunicationClaude E. Shannon · 1948

Every connection

All 2 edges touching this node, grouped by relation family — the sections above are highlights from this list. Colours match the relation families inthe atlas.

Structure · 2
has as a partPrefix codeMechanism
has as a partRateQuantity

This page is a projection of one node in src/data/concepts.ts. It has no prose file of its own — 230 declared edges produce all 236 of these pages. Edit an edge and both endpoints change.