different between subadditivity vs subadditive
subadditivity
English
Etymology
sub- +? additivity
Noun
subadditivity (countable and uncountable, plural subadditivities)
- (uncountable) The state of being subadditive.
- The statement that a function is subadditive.
- An outer measure $\mu ^{*}$ satisfies a property called “subadditivity”, viz.: $\mu ^{*}{\big (}\bigcup _{j=1}^{\infty }A_{j}{\big )}\leq \sum _{j=1}^{\infty }\mu ^{*}(A_{j})$. If the less-than-or-equal sign were replaced with an equal sign then the property would be “additivity” instead.
Antonyms
- superadditivity
Further reading
- subadditivity on Wikipedia.Wikipedia
subadditivity From the web:
- what is subadditivity in finance
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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