TeXipedia

bullet

Represents a solid, round bullet point commonly used for emphasis or visual organization in mathematical expressions and text.

Overview

Serves as a versatile mathematical operator and decorative element across various mathematical contexts and document structures.

  • Often employed as a binary operator to denote special operations or relationships between mathematical objects.
  • Frequently appears in abstract algebra and set theory to indicate specific mappings or operations.
  • Used in document formatting for creating distinctive itemized lists or visual separators.
  • Common in mathematical logic to represent logical operators or connectives.
  • Appears in category theory diagrams to mark composition points or special relationships.

Examples

Using bullet as a binary operator between sets in set theory.

A∙B={a∙b:a∈A,b∈B}A \bullet B = \{a \bullet b : a \in A, b \in B\} 
A \bullet B = \{a \bullet b : a \in A, b \in B\}

Representing composition of functions using bullet notation.

f∙g=f(g(x))f \bullet g = f(g(x)) 
f \bullet g = f(g(x))

Denoting multiplication in a ring or algebraic structure.

R={(Z,+,∙)}R = \{(\mathbb{Z}, +, \bullet)\} 
R = \{(\mathbb{Z}, +, \bullet)\}