# defines
The Prime Coordinates resource defines the prime-coordinate map φ as a homomorphism that transforms objects into vectors in an exponent space, where each prime corresponds to a dimension
## Predicate: defines
**Value:** defines the mathematical function that assigns to each object its vector of prime exponents
**Description:** defines the mathematical function that assigns to each object its vector of prime exponents
**Targets:**
- [[uor-c-142|prime-coordinate-map]]
## Metadata
- **ID:** urn:uor:predicate:defines:037:142