Read the equation
Combines 90% of the current state with 10% of the supplied utility. It is an exponential smoothing update when applied repeatedly to a sequence of utility values.
Its role in the build
Combines 90% of the current state with 10% of the supplied utility.
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.
The label “Discrete” names this update family; it does not define a complete reasoning algorithm.
Original context
Exact original notation
0.9x + 0.1×utility
Related builds
Sources & provenance
0.9x + 0.1×utility