subadditiveadj.

Brit.

/ˌsʌbˈadᵻtɪv/, U.S.

/ˌsəbˈædədɪv/

Origin: Formed within English, by derivation. Etymons: sub- prefix, additive adj.

Etymology: < sub- prefix + additive adj. With sense 2 compare earlier subadditivity n.

†1. That adds something in a subsidiary or supplemental manner. Obsolete. rare.

ΚΠ

a1834 S. T. Coleridge Lit. Remains (1836) I. 366 The real value of melody in a language is considerable as subadditive; but when not jutting out into consciousness under the friction of comparison, the absence or inferiority of it is, as privative of pleasure, of little consequence.

2. Mathematics. Of a function f: such that f(x + y) ≤ f(x) + f(y) for all values of x and y. Cf. additive adj. 1b.Sometimes equality (additivity) is excluded (quot. 1959).

ΚΠ

1948 Amer. Math. Monthly 55 464 A discussion of finite solutions of sub-additive functions.

1959 Trans. Amer. Math. Soc. 91 265 The fact that ϕ(z) is subadditive but not additive prevents the representation of ϕ(z) in the form of an integral over the boundary values.

1982 Math. Operations Res. 7 549 For strong duality to hold, there must be a subadditive dual function π with π(b) > 0 for all b ∈ B.

2007 L. Blumrosen & N. Nisan in N. Nisan et al. Algorithmic Game Theory 287 Subadditive valuations, i.e., where v(S ∪ T) ≤ v(S) + v(T) for all S, T.

This entry has been updated (OED Third Edition, June 2012; most recently modified version published online March 2022).

单词	subadditive
释义	subadditiveadj. Brit. /ˌsʌbˈadᵻtɪv/, U.S. /ˌsəbˈædədɪv/ Origin: Formed within English, by derivation. Etymons: sub- prefix, additive adj. Etymology: < sub- prefix + additive adj. With sense 2 compare earlier subadditivity n. †1. That adds something in a subsidiary or supplemental manner. Obsolete. rare. ΚΠ a1834 S. T. Coleridge Lit. Remains (1836) I. 366 The real value of melody in a language is considerable as subadditive; but when not jutting out into consciousness under the friction of comparison, the absence or inferiority of it is, as privative of pleasure, of little consequence. 2. Mathematics. Of a function f: such that f(x + y) ≤ f(x) + f(y) for all values of x and y. Cf. additive adj. 1b.Sometimes equality (additivity) is excluded (quot. 1959). ΚΠ 1948 Amer. Math. Monthly 55 464 A discussion of finite solutions of sub-additive functions. 1959 Trans. Amer. Math. Soc. 91 265 The fact that ϕ(z) is subadditive but not additive prevents the representation of ϕ(z) in the form of an integral over the boundary values. 1982 Math. Operations Res. 7 549 For strong duality to hold, there must be a subadditive dual function π with π(b) > 0 for all b ∈ B. 2007 L. Blumrosen & N. Nisan in N. Nisan et al. Algorithmic Game Theory 287 Subadditive valuations, i.e., where v(S ∪ T) ≤ v(S) + v(T) for all S, T. This entry has been updated (OED Third Edition, June 2012; most recently modified version published online March 2022). < adj.a1834
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