Each row of a parameter sweep is a finite snapshot of one map at fixed parameters, frozen at a set number of iterations rather than a continuous trajectory. The row's period verdict is exact only for the stated map, parameter value, iteration count, and snapshot length. Real sweeps add transient behavior, noise, parameter uncertainty, sampling limits, and model error, so a single row never tells the whole dynamical story.
A parameter table is a set of checked rows, not a curve. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Each parameter row is its own finite snapshot
Rows for one half, three quarters, and 1 are checked separately.
p∈{21,43,1}
The table classifies only the displayed rows
The first row is period one; the next two rows are period two.