Symbols:Greek/Delta/Diagonal Relation

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Diagonal Relation

$\Delta_S$


Let $S$ be a set.

The diagonal relation on $S$ is a relation $\Delta_S$ on $S$ such that:

$\Delta_S = \set {\tuple {x, x}: x \in S} \subseteq S \times S$

Alternatively:

$\Delta_S = \set {\tuple {x, y}: x, y \in S: x = y}$


The $\LaTeX$ code for \(\Delta_S\) is \Delta_S .