How to Calculate Your Caffeine Cut-Off Time
The six-hour rule is a rough average that is wrong for a lot of people. Here is the arithmetic behind a caffeine cut-off, using half-life rather than a fixed clock.
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Sleep Debt: How to Calculate It, and Why You Cannot Fully Repay It
Sleep debt is a useful accounting metaphor and a poor promise. Here is how to calculate yours honestly, what recovery actually restores, and the one number worth tracking instead.