The same finite rule handles a signed inversion start. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Inversion recovery starts below zero

The toy inversion start is -16 and the equilibrium is 16, so the signed gap is 32.

16(16)=3216\mathbin{-}(-16)=32
NMR recoveryLongitudinal magnetization recovers by a checked remaining-gap fraction.start -16gap 32final 0

A half step lands on the training null

Half of 32 is 16, so the final index is exactly 0.

16+16=0-16+16=0
NMR recoveryLongitudinal magnetization recovers by a checked remaining-gap fraction.start -16gap 32final 0