Saturating substrate learning update

Read the equation

Increments substrate coherence by remaining capacity (1−φ) times learning drive and effective allocation. If φ, Γ and allocation are all in [0,1], the update stays in [0,1] and never decreases. Those bounds are conditions on the claim, not consequences of the notation alone.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read φ(a) (t⁺) as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.

Original context

MASTER EQUATION

φ(a)    (t⁺) = φ(a)    (t) + (1 - φ(a)    (t)) × Γ(a)(t) × π(eff)    (i,t)
f,s           f,s              f,s            f           f,s

Current state     Saturation headroom      Learning    Allocation weight
[0,1]             (diminishing returns)    drive       (where energy goes)

Learning Drive:  Γ = χ × η × κ

φ(a)    (t⁺) = φ(a)    (t) + (1 - φ(a)    (t)) × Γ(a)(t) × π(eff)    (i,t)

Related builds