A transverse signal is visible only through the coherent bucket. 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 transverse budget splits into two buckets

The initial transverse budget is 12. Coherent signal keeps 9 and the dephased bucket holds 3.

9+3=129+3=12
NMR transverse visibilityOnly the coherent transverse bucket is visible in the toy signal.coherent 9dephased 3

Only the coherent bucket is visible

The visible signal index is 9, so the toy coherent fraction is 3/4.

9/12=349/12=\frac{3}{4}
NMR transverse visibilityOnly the coherent transverse bucket is visible in the toy signal.coherent 9dephased 3