10.2 Discrete Update (Equation 504) · S_i(t+1)

Read the equation

The source describes this relation in the following context: • Bounded by tanh

10.2 Discrete Update (Equation 504)

S_i(t+1) = clamp01(S_i(t) + dt × dS_i/dt)

10.3 Federation Coherence (Equation 505)

C_fed = (2/(n(n-1))) × Σ_{i<j} C_ij

Average pairwise coherence across all agent pairs.

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 S_i(t+1) 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

• Bounded by tanh

10.2 Discrete Update (Equation 504)

S_i(t+1) = clamp01(S_i(t) + dt × dS_i/dt)

10.3 Federation Coherence (Equation 505)

C_fed = (2/(n(n-1))) × Σ_{i<j} C_ij

Average pairwise coherence across all agent pairs.

S_i(t+1) = clamp01(S_i(t) + dt × dS_i/dt)