Live Fraction and Effective Rate

Live Fraction Is Live over Clock

Live fraction is a budget ratio, not a free parameter. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Live fraction divides live time by clock time

The live time is 4 seconds out of 12 seconds.

flive=4/12f_{\text{live}}=4/12
Live fractionLive fraction scales the useful rate.live=4 seffective=2/3 HzclockTime=12 sliveTime=4 sliveFraction=1/3 ratioinputRate=2 HzeffectiveRate=2/3 Hz

The fraction reduces exactly

The reduced live fraction is 1/3.

4/12=1/34/12=1/3
Live fractionLive fraction scales the useful rate.live=4 seffective=2/3 HzclockTime=12 sliveTime=4 sliveFraction=1/3 ratioinputRate=2 HzeffectiveRate=2/3 Hz