Superadditive vs Subadditive - What's the difference?

superadditive | subadditive | Antonyms |

Superadditive is an antonym of subadditive.


As adjectives the difference between superadditive and subadditive

is that superadditive is (mathematics|of a function) such that the image of a sum is at least the sum of the images of the summands while subadditive is (of a function) such that the image of a sum is at most the sum of the images of the summands.

superadditive

English

Adjective

(-)
  • (mathematics, of a function) Such that the image of a sum is at least the sum of the images of the summands.
  • Knot genus is superadditive under band sum because g(K_1\sharp_bK_2)\ge g(K_1)+g(K_2).

    Antonyms

    * subadditive

    subadditive

    English

    Adjective

    (-)
  • (of a function) Such that the image of a sum is at most the sum of the images of the summands.
  • The square-root function is subadditive under addition because \sqrt{a+b}\le\sqrt a+\sqrt b.

    Antonyms

    * superadditive