TeXipedia

gggtr

Represents a significantly greater than relationship, showing a much stronger inequality than the standard greater than symbol.

Overview

Used in mathematical contexts where emphasizing a strong or dramatic inequality is necessary, particularly in analysis and number theory. The triple-stacked greater than symbol provides a visual emphasis that helps convey:

  • Situations where one value vastly exceeds another
  • Cases requiring clear distinction from regular greater than relationships
  • Formal proofs where magnitude differences need special emphasis
  • Theoretical computer science when comparing growth rates of functions

Examples

Comparing very large numbers in an inequality.

10100105010^{100} \gggtr 10^{50}
10^{100} \gggtr 10^{50}

Showing strict dominance in game theory payoffs.

P1(s1)P1(s2)P_1(s_1) \gggtr P_1(s_2)
P_1(s_1) \gggtr P_1(s_2)

Expressing much greater than relationship between function growth rates.

f(n)=2ng(n)=n2f(n) = 2^n \gggtr g(n) = n^2
f(n) = 2^n \gggtr g(n) = n^2