Read the equation
Inputs below zero become zero, inputs above one become one, and values already inside [0,1] remain unchanged. The map is continuous and nonexpansive, but it has derivative changes at the two boundaries and zero derivative outside the interval. It enforces a storage bound, not a calibrated probability interpretation.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| x | Input to clip |
How it works
Read the definition from its right-hand expression to the quantity on the left. Its surrounding source records the intended input, state, or parameter context. Where the source leaves an operation unspecified, this page preserves that gap.
Assumptions & limits
Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.
Original context
Read the surrounding source passage
## 12.3 Clamp ``` clamp₀₁(x) = max(0, min(1, x)) ``` **Range**: [0, 1] **Explanation**: Hard boundary function ensuring outputs stay in valid range. ## 12.4 Smooth Norm ``` smooth_norm(a, b) = √(a² + b²) ``` **Explanation**: L2 norm of two values, used for magnitude calculations. --- # 13. Hash Functions ## 13.1 FNV-1a Hash
Exact original notation
clamp₀₁(x) = max(0, min(1, x))