Definitions for superadditivity
su·per·ad·di·tiv·i·ty

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1. superadditivitynoun

   The state of being superadditive.

2. superadditivitynoun

   The statement that a function is superadditive.

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1. Superadditivity

   In mathematics, a function f {\displaystyle f} is superadditive if for all x {\displaystyle x} and y {\displaystyle y} in the domain of f . {\displaystyle f.} Similarly, a sequence a 1 , a 2 , … {\displaystyle a_{1},a_{2},\ldots } is called superadditive if it satisfies the inequality for all m {\displaystyle m} and n . {\displaystyle n.} The term "superadditive" is also applied to functions from a boolean algebra to the real numbers where P ( X ∨ Y ) ≥ P ( X ) + P ( Y ) , {\displaystyle P(X\lor Y)\geq P(X)+P(Y),} such as lower probabilities.

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1. Superadditivity

   In mathematics, a sequence { an }, n ≥ 1, is called superadditive if it satisfies the inequality for all m and n. The major reason for the use of superadditive sequences is the following lemma due to Michael Fekete. Lemma: For every superadditive sequence { an }, n ≥ 1, the limit lim an/n exists and equal to sup an/n. Similarly, a function f(x) is superadditive if for all x and y in the domain of f. For example, is a superadditive function for nonnegative real numbers because the square of is always greater than or equal to the square of plus the square of, for nonnegative real numbers and . The analogue of Fekete's lemma holds for subadditive functions as well. There are extensions of Fekete's lemma that do not require the definition of superadditivity above to hold for all m and n. There are also results that allow one to deduce the rate of convergence to the limit whose existence is stated in Fekete's lemma if some kind of both superadditivity and subadditivity is present. A good exposition of this topic may be found in Steele. If f is a superadditive function, and if 0 is in its domain, then f ≤ 0. To see this, take the inequality at the top. . Hence

How to pronounce superadditivity?

1. Alex

   US English

   David

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   Mark

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   Daniel

   British

   Libby

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   Mia

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   Australian

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How to say superadditivity in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of superadditivity in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of superadditivity in Pythagorean Numerology is: 4

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Superadditivity
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Superadditivity
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=superadditivity