different between superadditive vs subadditive

superadditive

English

Etymology

super- +? additive

Adjective

superadditive (not comparable)

(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 $g(K_{1}\sharp _{b}K_{2})\geq g(K_{1})+g(K_{2})$ .

Antonyms

subadditive

Related terms

superadditivity

Further reading

superadditive on Wikipedia.Wikipedia

superadditive From the web:

what is superadditive function
what does superadditive mean
what is superadditive effect
what does superadditive effect mean
what does superadditive
what is superadditive mean

subadditive

English

Etymology

sub- +? additive

Adjective

subadditive (not comparable)

(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 ${\sqrt {a+b}}\leq {\sqrt {a}}+{\sqrt {b}}$ .

Antonyms

superadditive

Related terms

subadditivity

Further reading

subadditive on Wikipedia.Wikipedia

subadditive From the web:

what does subadditive mean
what does countably subadditive mean

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