1. Survival Equation

Continuity

The ratio of youth fluency to elder fluency. This tells us whether Kifuliiru is being successfully passed from one generation to the next. This is the earliest warning sign of language health.

Data & measurement

For Kifuliiru intergenerational health, collect V_y and V_e from the same fluency instrument and scoring rubric for Kifuliiru; mixing tasks breaks comparability. T normalizes the comparison window (use 1.0 for a single cross-section). Stratify by region if sample sizes allow, then aggregate with documented weights. Store raw counts and exclusion reasons next to each rate.

Solution & proof

By definition S = (V_y/V_e) × T for Kifuliiru youth versus elder proficiency on a shared task. Algebraically this is a ratio of two rates scaled by T. If V_y = V_e, then S = T (usually 1.0). Values below 1 indicate youth fluency lags elders on the chosen measure; values above 1 indicate the reverse. Uncertainty in S combines relative errors in V_y and V_e; prefer reporting confidence intervals on the inputs and propagating them to S when publishing Kifuliiru outcomes.

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
SSurvival score (0 to 1+)
V_yYouth fluency rate (ages 5-25)
V_eElder fluency rate (ages 60+)
TTime normalization factor (usually 1.0)
Source & tags

Source

ALL_FORMULAS.md — Continuity

Tags

continuitykifuliiru-lab