3. Lexical Half-Life

Continuity

How long it takes for half of a set of native Kifuliiru words to fall out of active use. This predicts when vocabulary might "expire" if current trends continue.

Variables

SymbolDescription
tHalf-life time (in years or generations)
cDecay constant (annual retention rate, 0-1)
lnNatural logarithm

Worked example

  1. Scenario 1

    Worked example

    DatasetMath steps

    Scenario

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

    Input data

    Illustrative inputs

    QuantitySymbolValue
    Half-life time (in years or generations)t1
    Decay constant (annual retention rate, 0-1)c0.63

    Function used

    lnNatural logarithm

    Reasoning

    Use the listed values (t = 1, c = 0.63) 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

Playground

Test this formula with sample values and interactive charts.

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