The floor under one stream, at 5 model orders

The floor under one stream, at 5 model orders

H_k is the entropy of the next symbol given the k before it, measured from the stream's own frequencies. Every value here is a correct floor for the same data. The uniform source has nothing to condition on and stays at 3.00. The Markov source gives up 2.06 bits at order 1 and almost nothing after. Quoting "the entropy of this file" without an order names none of these.

Drawn at 700 × 430, wide on the page. Everything above is what model-order returns with no arguments; the caption is the generator's own, computed from the numbers in the drawing rather than written beside it.

5 essays call model-order. The drawing above is what it returns with no arguments at all; every call below passes it something, because a placement that passes nothing draws whichever member of the family the generator happens to default to rather than the one its essay argues about — which is what optcheck and figfill exist to catch.