TeXipedia

ggg

Represents a much greater than relationship, indicating a significantly larger magnitude or strict ordering between mathematical elements.

Overview

Serves as an enhanced version of the standard greater-than symbol, emphasizing a stronger or more pronounced inequality relationship in mathematical expressions.

  • Commonly used in order theory and abstract algebra to show strict ordering.
  • Appears in advanced mathematical proofs where multiple levels of magnitude comparison are needed.
  • Particularly useful in set theory and analysis when describing nested relationships or strict hierarchies.

Examples

Showing a much greater than relationship between variables.

x⋙y⋙zx \ggg y \ggg z 
x \ggg y \ggg z

Comparing growth rates in asymptotic notation.

n3⋙n2⋙nlog⁡nn^3 \ggg n^2 \ggg n\log n 
n^3 \ggg n^2 \ggg n\log n

Expressing a strict hierarchy of physical quantities.

Egalaxy⋙Estar⋙EplanetE_{galaxy} \ggg E_{star} \ggg E_{planet} 
E_{galaxy} \ggg E_{star} \ggg E_{planet}