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It was previously termed generalized distributive operator (Lin 1998).
都 dōu, on the other hand, can serve as a focus-sensitive scalar particle, a universal quantifier, and a distributive operator in modern Chinese (Szabolcsi et al. 2014).
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In the authors' version, relational Priestley spaces are the duals of distributive lattices with operators.
Our approach enables efficient order-sensitive incremental view maintenance as it makes most XML algebra operators distributive with respect to bag union.
In this particular situation, 都 to 1 would take on the distributive function and become a universal operator.
We consider linear surjective isometries acting on reflexive operator algebras with commutative, completely distributive subspace lattices.
Restall argues that the sorts of non-classical approach discussed above must give up either transitivity of entailment, infinitary disjunction or distributive lattice logic (i.e., an infinitary disjunction operator distributing over finite conjunction); otherwise, as Restall shows, Curry's paradox arises immediately and triviality ensues.
In the current version of our multistate syntax it is not directly possible to encode the progressive mechanism because only the succ/ pred operators are available to the user, which is sufficient support for the distributive case.
Formally, given an expression containing two or more instances of the binary compositing operator (A over B) and two or more instances of a unary operator T, if the unary operator is distributive with respect to compositing, i.e. if T(A) over T(B) = T(A over B), then associativity permits the expression to be rewritten to reduce the number of unary operations.
Classic logic is underlying any move from one statement to another, particularly when they belong to the demonstration of a theorem; but whenever the statements concern the non-distributive algebra of the quantum operators we have to set it aside and use quantum logic.
What is "distributive intelligence"?
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com