Read the equation
Dividing an unsigned 32-bit hash by its maximum possible value maps it into [0,1]. The result has only 2³² possible exact values before floating-point rounding, including both endpoints. This is a deterministic scalar coordinate for a string hash, not a continuous semantic embedding.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| h | Hash-derived scalar coordinate |
| FNV1a | Unsigned 32-bit string hash |
| s | Input string |
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
## 13.2 Hash to Unit Interval ``` h(s) = FNV1a(s) / (2³² - 1) ``` **Range**: [0, 1] **Explanation**: Normalizes hash to unit interval for use with golden basis functions. --- # Summary Table | Category | Equation Count | |----------|----------------| | Fundamental Constants | 3 | | Golden Ratio Mathematics | 3 | | G^16 Family Functions | 16 | | Meta-State Updates | 5 | | Objective Function | 5 | | DNA Memory | 5 | | Gate5000 | 4 | | Neural Brain (dna_v9) | 10 |
Exact original notation
h(s) = FNV1a(s) / (2³² - 1)