Nested capability stack: AI ⊃ ML ⊃ DL ⊃ GenAI—each layer builds on the one below, enabling increasingly complex intelligence.

Distribute keys across nodes so that only K/N keys are remapped when a node is added or removed (vs. all keys with simple modulo hashing).

DP solves optimization problems by caching subproblem results -- reducing exponential time complexity to polynomial. Essential for system design: resource allocation, query optimization, cost modeling, and capacity planning.

A probabilistic set that answers "definitely NOT in set" or "POSSIBLY in set" — never false negatives, allows false positives.

Map arbitrary data to fixed-size digests -- used for integrity, identity, distribution, and authentication across every layer of a system.

Choosing the right sort determines latency, memory usage, and scalability in distributed systems -- O(n log n) on small datasets vs. O(n + k) for structured data vs. external merge sort for big data.