Symbols:Greek/Delta/Diagonal Relation
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Diagonal Relation
- $\Delta_S$
Let $S$ be a set.
The diagonal relation on $S$ is the relation $\Delta_S$ on $S$ defined as:
- $\Delta_S = \set {\tuple {x, x}: x \in S} \subseteq S \times S$
Alternatively:
- $\Delta_S = \set {\tuple {x, y}: x, y \in S: x = y}$
The $\LaTeX$ code for \(\Delta_S\) is \Delta_S
.