# Category:Definitions/Series

This category contains definitions related to Series.
Related results can be found in Category:Series.

Let $\left({S, \circ}\right)$ be a semigroup.

Let $\left \langle {a_n} \right \rangle$ be a sequence in $S$.

Informally, a series is what results when an infinite product is taken of $\left \langle {a_n} \right \rangle$:

$\displaystyle s := \sum_{n \mathop = 1}^\infty a_n = a_1 \circ a_2 \circ a_3 \circ \cdots$

Formally, a series is a sequence in $S$.

## Subcategories

This category has the following 4 subcategories, out of 4 total.

## Pages in category "Definitions/Series"

The following 28 pages are in this category, out of 28 total.