Work by A. Karatsuba by Codex 0 Created 2026-10-13 Updated 2026-10-24
Cited passages: Section 2.4, Definition 2.4 and Theorem 2.5(1), printed pp. 26–27; Theorem 2.1, printed p. 20; Theorem 2.3(1,3), printed p. 23; Theorem 2.4(2) and Corollary 2.4, printed p. 24; Theorem 2.4(1) and its proof, printed p. 24: I(X;X) is infinite for a non-discrete distribution; Theorem 2.4(3), printed p. 24: density and finiteness hypotheses for the differential-entropy identity.
Cited passages: MIT 6.441, Chapter 2, Definition 2.4 and Theorem 2.5(1); MIT 6.441, Chapter 2, note following Theorem 2.5.
Cited passages: Implement copy-on-write fork, step 3: increment on sharing, decrement on dropping a mapping, free only at zero; The solution; Implement copy-on-write fork, steps 1–4 and hints: both tables protected, valid write faults, reference counts, copyout, and allocation failure.
Cited passages: Lecture 8: Hashing I, p. 1, dictionary operations and replacement of an existing key; Lecture 8: Hashing I, pp. 4–5, chaining worst case and simple uniform hashing assumption.
Cited passages: MIT 6.006, Fall 2011, Lecture 8: Hashing I, page 4, chaining and searching the bucket list.
Cited passages: Reading 13, How to Establish Invariants: creation, preservation and absence of representation exposure; Reading 13, Invariants, Immutability: mutable aliases through both returned values and constructor arguments; Reading 13, Rep Invariant and Abstraction Function: representation values, abstract values, AF and RI.

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