Read the equation
Moves the current state toward a softsign-transformed change signal at a 5% blend rate. If softsign is the conventional z/(1+|z|), its target lies between −1 and 1.
Its role in the build
Moves the current state toward a softsign-transformed change signal at a 5% blend rate.
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.
This scalar update contains no spatial diffusion operator; the source label does not establish a reaction–diffusion PDE.
Original context
Exact original notation
x + 0.05(softsign(dx) - x)
Related builds
Sources & provenance
x + 0.05(softsign(dx) - x)