Subadditivity

noun

noun ·Rare ·Advanced level

Definitions

Noun
  1. 1
    The state of being subadditive. uncountable
  2. 2
    The statement that a function is subadditive. countable, uncountable

    "An outer measure μ^* satisfies a property called “subadditivity”, viz.: μ^* big (∪ⱼ₌₁ ᪲A_j big )<∑ⱼ₌₁ ᪲μ^*(A_j). If the less-than-or-equal sign were replaced with an equal sign then the property would be “additivity” instead."

Example

More examples

"An outer measure μ^* satisfies a property called “subadditivity”, viz.: μ^* big (∪ⱼ₌₁ ᪲A_j big )<∑ⱼ₌₁ ᪲μ^*(A_j). If the less-than-or-equal sign were replaced with an equal sign then the property would be “additivity” instead."

Etymology

From sub- + additivity.

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.