Read the equation
Adds utility to the state and scales the result by one plus the magnitude of utility. The denominator is at least one and prevents division by zero for finite real utility.
Its role in the build
Adds utility to the state and scales the result by one plus the magnitude of 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.
No likelihood, prior or evidence-normalization term is specified here, so the name alone does not make this Bayes’ theorem.
Original context
Exact original notation
(x + u)/(1 + |u|)
Related builds
Sources & provenance
(x + u)/(1 + |u|)