TeXipedia

curlyvee

Represents a curly wedge-shaped binary operator commonly used in mathematical logic and set theory.

Overview

Serves as a specialized binary operator in advanced mathematical notation, particularly in abstract algebra and formal logic systems.

  • Often appears in theoretical computer science and mathematical logic proofs
  • Used to denote specific binary operations or logical connectives
  • Frequently found in academic papers and advanced mathematical texts where standard logical operators are insufficient
  • Provides a more elegant alternative to conventional wedge symbols in certain mathematical contexts

Examples

Using the curly wedge operator to denote a binary operation in abstract algebra.

a⋎b=ca \curlyvee b = c 
a \curlyvee b = c

Expressing a logical operation with multiple curly wedge operators.

x⋎y⋎z=(x⋎y)⋎zx \curlyvee y \curlyvee z = (x \curlyvee y) \curlyvee z 
x \curlyvee y \curlyvee z = (x \curlyvee y) \curlyvee z

Defining a custom binary relation using the curly wedge symbol.

A⋎B={x:x∈A or x∈B}A \mathrel{\curlyvee} B = \{x : x \in A \text{ or } x \in B\} 
A \mathrel{\curlyvee} B = \{x : x \in A \text{ or } x \in B\}