distributivityoften
Distributivityoften is a coined term used to describe how frequently a binary operation distributes over another within a given algebraic structure. It serves as a descriptive metric rather than a formal axiom, capturing the idea of partial or context-dependent distributivity.
Formally, for a set A equipped with two binary operations ⊗ and ⊕, left distributivity means a ⊗ (b
In a ring or semiring where multiplication distributes over addition, DO_left and DO_right equal 1. In non-distributive
Applications of distributivityoften lie in comparative and exploratory contexts. Researchers may use it to quantify how
Limitations include dependence on the chosen operations and the size of the underlying set, which can affect