Several correction fractions show how the same sampled rule approaches, lands on, or crosses the target.

Changing only the correction fraction shows the sampled recurrence before the stability label. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Half correction approaches without crossing

Correction 1/2 moves states 0, 4, 6, 7 volts. The remaining error is 1 volt.

0,4,6,7e3=10,4,6,7\quad e_3=1
Correction fraction scan rowThe sampled states and error bars are checked.s0e0s1e1s2e2s3e3

Full correction reaches the target and stays

Correction 1 gives states 0, 8, 8, 8 volts, so later errors are zero.

0,8,8,8e3=00,8,8,8\quad e_3=0
Correction fraction scan rowOnce the checked error is zero, the state holds.s0e1e2e3e0s1s2s3

Three halves crosses the target but still damps

Correction 3/2 gives states 0, 12, 6, 9 volts. The final signed error is negative 1 volt.

0,12,6,9e3=−10,12,6,9\quad e_3=-1
Correction fraction scan rowSigned error shows overshoot without losing the ledger.s0e0s1e1s2e2s3e3