5. Conjugation Matrix

Continuity

The complete structure of any Kifuliiru verb. This matrix defines how verbs are built from modular pieces, allowing generation of thousands of verb forms from a single root.

Data & measurement

Continuity metrics emphasize intergenerational transmission, corpus completeness, and structural stability. Keep cohort definitions fixed across measurement waves. Symbols: V_tot (Total verb form (complete conjugated word)); SP (Subject prefix (who does the action)); TM (Tense marker (when it happens)); OP (Object prefix (who receives the action)); R (Root (the core meaning)); Ext (Extensions (modifications like causative, passive)); FV (Final vowel (mood indicator)). Log instrument versions, sample frames, and cleaning rules whenever estimates are refreshed so longitudinal comparisons stay valid.

Solution & proof

Conceptual summary: The complete structure of any Kifuliiru verb. This matrix defines how verbs are built from modular pieces, allowing generation of thousands of verb forms from a single root. 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.

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Variables

Variables

SymbolDescription
V_totTotal verb form (complete conjugated word)
SPSubject prefix (who does the action)
TMTense marker (when it happens)
OPObject prefix (who receives the action)
RRoot (the core meaning)
ExtExtensions (modifications like causative, passive)
FVFinal vowel (mood indicator)
Source & tags

Source

ALL_FORMULAS.md — Continuity

Tags

continuitykifuliiru-lab