Definitionen
1.AdjectiveCapable of producing something, especially in abundance; fertile.
2.AdjectiveYielding good or useful results; constructive.
3.AdjectiveOf, or relating to the creation of goods or services.
4.AdjectiveConsistently applicable to any of an open set of words.
5.AdjectiveOf a cough, producing mucus or sputum from the respiratory tract.
6.AdjectiveOf inflammation, producing new tissue.
7.AdjectiveA type of set of natural numbers, related to mathematical logic; a set
S
{\displaystyle S}
is productive if there exists a total recursive function
f
{\displaystyle f}
such that
∀
x
∈
N
,
W
x
⊆
S
⇒
f
(
x
)
∈
A
∖
W
x
{\displaystyle \forall x\in \mathbb {N} ,~~W_{x}\subseteq S\Rightarrow f(x)\in A\setminus W_{x}}
, where
W
x
{\displaystyle W_{x}}
is a recursive function whose Gödel number is
x
{\displaystyle x}
."a productive set"