A clock is an indexed event ledger with exact period spacing. 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 clock edge ledger starts with one exact period

The period is 8 seconds, so each edge is spaced by that same amount.

T=8 sT=8\ \text{s}
Clock edge gridThe edge labels are generated from one period.period 8 sedges 4edge 3 at 24 slast 24 s

Changing period moves the same edge index

Each row keeps the selected edge fixed and recomputes its time from the period.

Tntn4 s312 s6 s318 s8 s324 s\begin{array}{c|c|c}T&n&t_n\\4\ \text{s}&3&12\ \text{s}\\6\ \text{s}&3&18\ \text{s}\\8\ \text{s}&3&24\ \text{s}\\\end{array}

The edge index multiplies the period

Edge 3 is at 24 seconds because the period is repeated 3 times.

38 s=24 s3\cdot 8\ \text{s}=24\ \text{s}
Indexed edgesThe last edge label is checked against the period.period 8 sedges 4edge 3 at 24 slast 24 s