Source-Factor Depth Scans

Initial State Three-Row Scan

Holding target and correction fixed shows the sampled recurrence from three starting states. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Starting from zero reaches six after two corrections

With target 8 volts and correction 1/2, initial state 0 volts gives sequence 0, 4, 6 volts.

0,4,60,4,6
Initial state scan rowThe sampled states and errors are checked.s0e0s1e1s2e2

Starting from four reaches seven after two corrections

The same correction from initial state 4 volts gives sequence 4, 6, 7 volts.

4,6,74,6,7
Initial state scan rowOnly the starting state changes.s0e0s1e1s2e2

Starting from six reaches fifteen halves

Initial state 6 volts gives sequence 6, 7, 15/2 volts.

6,7,1526,7,{15\over 2}
Initial state scan rowThe final half volt is kept exact.s0e0s1e1s2e2