Definition:Family
Disambiguation
This page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.
Family is used by some authors as a synonym for set; in particular, a set whose elements are themselves sets.
More formally, the general understanding of the term family includes the following:
Family may refer to one of the following:
Indexed Family
The image $\Img x$, consisting of the terms $\family {x_i}_{i \mathop \in I}$, along with the indexing function $x$ itself, is called a family of elements of $S$ indexed by $I$.
Family of Curves
A family of curves is a set of curves which are described with a common equation, in such a way that all such curves can be generated by varying one or more parameters.
Also see
- Results about families can be found here.
Sources
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): family
- 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): family