22. Continuity Formula

Continuity

The overall intergenerational flow of Kifuliiru — named after Kigayamaho (that which continues forever).

Data & measurement

Continuity metrics emphasize intergenerational transmission, corpus completeness, and structural stability. Keep cohort definitions fixed across measurement waves. Symbols: C_L (Continuity level (0 to 1+)); F_y (Youth fluency rate for generation i); P_tr (Transmission probability); D_att (Attrition depth). Log instrument versions, sample frames, and cleaning rules whenever estimates are refreshed so longitudinal comparisons stay valid.

Solution & proof

Conceptual summary: The overall intergenerational flow of Kifuliiru — named after Kigayamaho (that which continues forever). Treat this as a measurement recipe: map each symbol to an empirical quantity, substitute estimates, and simplify with ordinary algebra (including logarithms, min/max caps, or piecewise branches where shown). Where limits or integrals appear, approximate with discrete sums on cohorts or time steps when closed forms are impractical. Interpret the result against thresholds in the cited source and report uncertainty on inputs.

Playground

Worked examples and interactive charts now live on their own page.

Open the playground to test sample values, review worked scenarios, and explore how this formula behaves across multiple cases.

Open playground
Variables

Variables

SymbolDescription
C_LContinuity level (0 to 1+)
F_yYouth fluency rate for generation i
P_trTransmission probability
D_attAttrition depth
Source & tags

Source

ALL_FORMULAS.md — Continuity

Tags

continuitykifuliiru-lab