TeXipedia

gtreqless

Represents a combination of greater than, equal to, and less than relationships in mathematical comparisons and inequalities.

Overview

Serves as a versatile relational operator in advanced mathematical notation, particularly useful when expressing complex relationships between quantities where multiple comparisons are possible.

  • Common in mathematical proofs and theoretical computer science
  • Used when describing transitional or uncertain relationships between variables
  • Appears in formal logic and set theory discussions
  • Helpful in expressing mathematical conditions where the relationship between terms may vary depending on specific conditions

Examples

Comparing two variables that may be greater than, equal to, or less than each other depending on conditions.

x⋛y as t→∞x \gtreqless y \text{ as } t \to \infty 
x \gtreqless y \text{ as } t \to \infty

Expressing uncertainty in the relationship between two economic quantities.

GDP growth⋛inflation rate\text{GDP growth} \gtreqless \text{inflation rate} 
\text{GDP growth} \gtreqless \text{inflation rate}

Comparing two functions at different points in their domain.

f(x)⋛f(y) for x,y∈Rf(x) \gtreqless f(y) \text{ for } x,y \in \mathbb{R} 
f(x) \gtreqless f(y) \text{ for } x,y \in \mathbb{R}