Definition:Continued Product/Multiplicand
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Definition
Let $\struct {S, \times}$ be an algebraic structure where $\times$ is an operation derived from, or arising from, the multiplication operation on the natural numbers.
Let $\set {a_1, a_2, \ldots} \subseteq S$ be a set of elements of $S$.
Let:
- $\ds \prod_{\map R j} a_j$
be a continued product on $\set {a_1, a_2, \ldots}$.
The set of elements $\set {a_j \in S}$ is called the multiplicand.
Also known as
The multiplicand of a continued product is also known as the set of multiplicands.
Linguistic Note
The word multiplicand means that which is to be multiplied.
The -and derives from the gerundive form of Latin verbs, expressing future necessity: that which needs to be done.