TeXipedia

circledS

Represents a circled capital letter S, commonly used in specialized mathematical notation and set theory.

Overview

Primarily employed in advanced mathematical contexts where a distinctive circled S notation is needed to denote special operations or sets.

  • Often appears in abstract algebra and theoretical mathematics
  • Used to denote specific mathematical structures or operations
  • Particularly useful in contexts where standard S notation needs visual distinction
  • Sometimes appears in specialized mathematical publications and academic papers

Examples

Representing a registered service mark symbol in a mathematical context.

f:XⓈY→Rf: X \circledS Y \to \mathbb{R} 
f: X \circledS Y \to \mathbb{R}

Using the circled S operator in a group theory expression.

GⓈH={(g,h):g∈G,h∈H}G \circledS H = \{(g,h) : g \in G, h \in H\} 
G \circledS H = \{(g,h) : g \in G, h \in H\}

Denoting a special binary operation in abstract algebra.

(aⓈb)Ⓢc=aⓈ(bⓈc)(a \circledS b) \circledS c = a \circledS (b \circledS c) 
(a \circledS b) \circledS c = a \circledS (b \circledS c)