Multimodal Throughput Cross Scans

Detector Frame Three-Row Scan

addresses and frames

Detector slot counts become clearer when grid shape and frame count are scanned. 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 first detector row fixes both products

A 4 by 5 detector grid gives 20 addresses. Repeating those addresses over 3 frames gives 60 measured slots.

Naddr=4⋅5=20,Nslots=20⋅3=60N_{\text{addr}}=4\cdot5=20,\quad N_{\text{slots}}=20\cdot3=60
Indexed throughputIndexed measurements become exact count budgets.indexed readout

Changing shape and frames changes the slot total

A taller 6 by 2 grid has 12 addresses. With 4 frames, the checked slot count is 48.

Naddr=6⋅2=12,Nslots=12⋅4=48N_{\text{addr}}=6\cdot2=12,\quad N_{\text{slots}}=12\cdot4=48
Indexed throughputIndexed measurements become exact count budgets.indexed readout

A third row makes the relation scannable

The final row has 8 by 2 addresses and 2 frames, so the displayed total is 32 measured slots. The three rows show addresses and frames as separate factors.

Naddr=8⋅2=16,Nslots=16⋅2=32N_{\text{addr}}=8\cdot2=16,\quad N_{\text{slots}}=16\cdot2=32
Indexed throughputIndexed measurements become exact count budgets.indexed readout