TeXipedia

bigvee

Represents a large disjunction operator used to denote the logical OR of multiple expressions or the supremum in lattice theory.

Overview

Essential in mathematical logic, set theory, and abstract algebra for expressing complex logical relationships and algebraic operations.

  • Commonly used in formal logic to combine multiple propositions with OR operations
  • Appears in lattice theory to denote the supremum (least upper bound) of a set
  • Frequently encountered in computer science for boolean algebra expressions
  • Scales automatically to accommodate multiple terms underneath

Examples

Logical disjunction (OR) over a set of propositions.

⋁i=1nPi\bigvee_{i=1}^n P_i 
\bigvee_{i=1}^n P_i

Boolean algebra expression showing the disjunction of multiple terms.

⋁x∈X(x∧y)\bigvee_{x \in X} (x \wedge y) 
\bigvee_{x \in X} (x \wedge y)

System reliability calculation where any component success ensures system success.

Rsystem=⋁i=1nRiR_{system} = \bigvee_{i=1}^n R_i 
R_{system} = \bigvee_{i=1}^n R_i