Structural & Measurement Primitives

Primes that are foundational structural or measurement building blocks, including indexes for fast lookup, sharding for partitioned access, the stack's nested discipline, and the set-theoretic and metric notions of intersection, measure, and distance.

6 primes in this family — primes that sit near one another in abstraction space (k-means over structural-signature embeddings). Each is shown with its short description.

• Index — An auxiliary key-to-location table that makes lookup fast at the cost of maintenance.
• Intersection — The elements common to all of several collections.
• Measure — An additive rule that assigns non-negative size to subsets of a space.
• Metric — A distance function on pairs obeying non-negativity, symmetry, and the triangle inequality.
• Sharding — Partition a load across owners by a stable key-to-shard function.
• Stack — A strictly nested discipline where what was opened last must close first.