Read the equation
This rule subtracts 0.05 times the absolute input. Applied in isolation, it never increases x and can decrease it without bound under a persistently nonzero input. It supplies a numerical penalty; an actual compression claim also needs an encoding, output size, decoding procedure, and fidelity criterion.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| x | Current scalar state |
| dx_norm | Input whose absolute magnitude sets the decrement |
How it works
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Assumptions & limits
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Original context
Read the surrounding source passage
## 3.13 Family 12: Compression / Rate Control ``` f₁₂(x) = x - 0.05 · |dx_norm| ``` **Equation Type**: Compression: minimize description length **Explanation**: Actively reduces complexity by damping large changes. Used for finding minimal representations. ## 3.14 Family 13: Memory Trace (Zecher) ``` f₁₃(x) = x + 0.02 · (dx_norm + utility) ``` **Equation Type**: Trace accumulation: x'_i = Σ f_i : dΩ **Explanation**: Slowly accumulates both change and utility signals, creating persistent memory traces. Named "Zecher" (Hebrew for "memory"). ## 3.15 Family 14: Decisive Action / Policy ``` f₁₄(x) = x + 0.15 · softsign(utility) - 0.05 · ed_error
Exact original notation
f₁₂(x) = x - 0.05 · |dx_norm|