Capability Gradient

B_V

Definition

Measures whether institutional capability is increasing, stable, or declining over time. Positive B_V indicates growing competence and capacity; negative B_V indicates deteriorating capabilities (brain drain, skill loss).

Formula

B_V = dCapability/dt (normalized to [-1, 1])

Example

An institution with consistent talent retention and knowledge accumulation has B_V ≈ 0.6. One experiencing brain drain has B_V ≈ −0.4.

Source

R* Section 4.1

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Related Terms from R*: Universal Regeneration Index

R* (Universal Regeneration Index)R*

Structural ScoreS_struct

Behavioural ScoreS_behav

Decoupling ScoreS_Δ

Alignment ScoreS_Λ

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R*: Universal Regeneration Index