Definition:Chain

Disambiguation

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Chain may refer to:

• Order Theory:
  • Chain: a totally ordered subset $\struct {T, \preceq}$ of an ordered set $\struct {S, \preceq}$.
  • Chain of Sets: a chain whose ordering is the subset relation, that is, a nest which is also a set.

• Physics:
  • A chain is an idealized inelastic thread whose stiffness and width (but not mass) are approximated to zero.
  • Chain (Linear Measure): imperial unit of length: $1$ chain $= 22$ yards.

• Number Theory:
  • A sociable chain is a sequence of positive integers such that the $n + 1$th term is the aliquot sum of the $n$th.