# Definition:Distributive Operation/Distributand

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## Definition

Let $S$ be a set on which is defined two binary operations, defined on all the elements of $S \times S$, which we will denote as $\circ$ and $*$.

Let $\circ$ be distributive over $*$.

Then $*$ is a distributand of $\circ$.

### Linguistic Note

The word distributand means that which is to be distributed.

The -and derives from the gerundive form of Latin verbs, expressing future necessity: that which needs to be done.

The term distributand was invented by $\mathsf{Pr} \infty \mathsf{fWiki}$ to ease discussion of the details of the general distributive operation.

As such, it is not generally expected to be seen in this context outside $\mathsf{Pr} \infty \mathsf{fWiki}$.