Definition:Equivalence Class/Notation

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Definition

The notation used to denote an equivalence class varies throughout the literature, but is often some variant on the square bracket motif $\eqclass x {\mathcal R}$.


Other variants:

  • 1965: Seth Warner: Modern Algebra uses $\bigsqcup_{\mathcal R} \mkern {-28 mu} {\raise 1pt x} \ \ $ for $\eqclass x {\mathcal R}$, which is even more challenging to render in our installed version of $\LaTeX$ than $\eqclass x {\mathcal R}$ itself.


Sources