Transverse Fraction Alternative Scale Scan - Biophysical Instrumentation VII: NMR Relaxation and MRI Contrast Step by Step

A larger transverse bucket keeps visibility as coherent divided by initial. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A larger bucket keeps the same fraction rule

Initial transverse budget is 15. The scan changes coherent count and recomputes the dephased complement.

F_T={\text{coherent}\over\text{initial}}

Three coherent buckets give three exact fractions

The dephased bucket closes the same initial total in every row.

\begin{array}{c|c|c|c}\text{coherent}&\text{dephased}&F_T&\text{visible}\\3&12&\frac{1}{5}&3\\6&9&\frac{2}{5}&6\\12&3&\frac{4}{5}&12\\\end{array}

The middle row keeps two fifths visible

Coherent 6 out of initial 15 gives visible fraction 2/5.

6/15=\frac{2}{5}