Read the equation
Retains 95% of the state and incorporates 5% of a normalized change signal. Agreement across agents depends on how those signals are exchanged.
Its role in the build
Retains 95% of the state and incorporates 5% of a normalized change signal.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| x | current scalar family state |
| dx | change signal |
| d_x / dx_norm | normalized change signal |
| u / utility | utility input |
| e / err | error input |
| s / stab | stability input |
| φ | golden-ratio constant |
How it works
Read the displayed expression together with the surrounding source statement; it is retained as an expression rather than silently completed into an equality.
Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.
Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.
Assumptions & limits
Conditions
The surrounding implementation must define the input scales and any output clipping.
No graph topology or consensus convergence theorem is contained in this scalar equation.
Original context
Exact original notation
0.95x + 0.05×dx_norm
Related builds
Sources & provenance
0.95x + 0.05×dx_norm