TeXipedia

searrow

Represents a diagonal arrow pointing southeast, commonly used in mathematical notation to indicate decreasing trends or specific relationships.

Overview

Serves as a directional indicator in various mathematical contexts, particularly useful in describing mappings, relations, and trends in diagrams or equations.

  • Often employed in commutative diagrams to show morphisms or transformations
  • Used in economics and statistics to indicate downward trends
  • Appears in set theory and abstract algebra to denote specific mappings or correspondences
  • Frequently paired with other directional arrows like \nearrow or \swarrow for comprehensive diagram notation

Examples

Showing that a sequence converges monotonically decreasing to a limit.

xn↘L as n→∞x_n \searrow L \text{ as } n \to \infty 
x_n \searrow L \text{ as } n \to \infty

Indicating a decreasing trend in a statistical analysis.

Market prices ↘ during recession\text{Market prices } \searrow \text{ during recession} 
\text{Market prices } \searrow \text{ during recession}

Denoting the southeast direction in a coordinate plane description.

The gradient vector points ↘ in quadrant IV\text{The gradient vector points } \searrow \text{ in quadrant IV} 
\text{The gradient vector points } \searrow \text{ in quadrant IV}