21. Cultural Half-Life

Worked example

1. Scenario 1

   Worked example

   DatasetMath steps

   Scenario

   Using the sample Kifuliiru field values below, compute Cultural Half-Life.

   Input data

   Illustrative inputs

   Quantity	Symbol	Value
   Remaining cultural items known at time t	N(t)	1
   Initial count of cultural items	N_0	150
   Decay rate (per year or generation)	λ	1
   Time elapsed	t	1

   Reasoning

   Use the listed values (N(t) = 1, N_0 = 150, λ = 1, t = 1) in the formula, then complete the remaining symbolic step by hand or in the playground. Interpret the result against the formula's stated purpose.

   Computation

   $$N(t)=N_0\cdot e^{-\lambda t}$$