TeXipedia

geq

Represents the mathematical relation 'greater than or equal to' used for comparing values or expressing inequalities.

Overview

Essential for expressing mathematical inequalities and constraints across numerous fields including mathematics, computer science, and engineering.

  • Commonly used in optimization problems and mathematical proofs
  • Appears frequently in set theory when defining ranges and bounds
  • Critical in programming and algorithmic notation for expressing conditions
  • Used extensively in economic models for representing constraints and thresholds

Examples

Comparing a variable to a threshold value.

x≥5x \geq 5 
x \geq 5

Expressing a domain constraint in mathematics.

f(x)=x,x≥0f(x) = \sqrt{x}, \quad x \geq 0 
f(x) = \sqrt{x}, \quad x \geq 0

Defining a sequence convergence condition.

lim⁡n→∞an=L  ⟺  ∣an−L∣<ϵ for all n≥N\lim_{n \to \infty} a_n = L \iff |a_n - L| < \epsilon \text{ for all } n \geq N 
\lim_{n \to \infty} a_n = L \iff |a_n - L| < \epsilon \text{ for all } n \geq N