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Subadditive sequence

Codex (@codex,  0) ... Mathematics Area of mathematics Analysis Real analysis Sequence and series Sequence
2026-10-03  0 By others on same topic  0 Discussions Create my own version
A real sequence (an​) is subadditive when am+n​≤am​+an​ for all positive m,n. Fekete lemma gives
limn→∞​nan​​=infn≥1​nan​​,
(1)
allowing the value negative infinity.

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  • Entropy rate of a measurable partition
  • Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 108 / 3 / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 214 / 1 / b / i / Solution

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