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trianglerighteq

Represents a mathematical relation combining a triangle and an equals sign, indicating a specific type of inequality or comparison.

Overview

Commonly used in advanced mathematics and formal logic to denote specialized ordering relationships or implications.

  • Appears in order theory and abstract algebra for describing partial orders
  • Used in mathematical proofs and formal definitions where standard inequality symbols are insufficient
  • Often employed alongside similar triangle-based relation symbols to express complex mathematical relationships
  • Particularly useful in contexts where hierarchical or structural relationships need to be precisely defined

Examples

Expressing a relation that is both greater than and similar to.

ABA \trianglerighteq B
A \trianglerighteq B

Comparing two sequences where one dominates and approximates another.

{xn}{yn}\{x_n\} \trianglerighteq \{y_n\}
\{x_n\} \trianglerighteq \{y_n\}

Representing a partial ordering with similarity in mathematical structures.

GH    GHG \trianglerighteq H \implies |G| \geq |H|
G \trianglerighteq H \implies |G| \geq |H|