An open-system training model begins with a checked finite count ledger. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The state budget starts as a count vector

The open-system model starts with 100 zero shots and 0 one shots.

Nin=(100,0)\vec N_{\text{in}}=(100,0)
Input shot vectorThe input bars are bound to the count vector.1zero0one4/5zero1/5onechannel map

The finite ledger has a fixed total

The total is 100 plus 0, so the ledger carries 100 shots before any channel acts.

100+0=100100+0=100
Closed input budgetNo environment detail is assumed beyond the declared ledger.1zero0one4/5zero1/5onechannel map