TeXipedia

gtrdot

Represents a greater-than relation with a dot above the symbol, used in mathematical comparisons and ordered relationships.

Overview

Serves as a specialized comparison operator in advanced mathematics, particularly in contexts where standard inequalities need additional notation or meaning.

  • Common in abstract algebra and advanced mathematical analysis
  • Used to denote specific ordered relationships in set theory
  • Often appears in formal mathematical proofs where precise relationship distinctions are crucial
  • Helpful in contexts where regular greater-than symbols need additional qualification or meaning

Examples

Comparing growth rates of two functions using the much greater than with dot relation.

f(n)⋗n2f(n) \gtrdot n^2 
f(n) \gtrdot n^2

Expressing a strict dominance relation between two sequences in analysis.

{an}⋗{bn}\{a_n\} \gtrdot \{b_n\} 
\{a_n\} \gtrdot \{b_n\}

Showing relative magnitude in asymptotic notation.

n!⋗2nn! \gtrdot 2^n 
n! \gtrdot 2^n