TeXipedia

swarrow

Represents a diagonal arrow pointing towards the southwest direction, commonly used in mathematical diagrams and commutative diagrams.

Overview

Serves as a directional indicator in mathematical notation, particularly useful in advanced algebra, category theory, and diagram construction.

  • Frequently employed in commutative diagrams to show mappings or transformations between objects
  • Often paired with other directional arrows like \nearrow, \searrow, and \nwarrow to create complete diagram structures
  • Valuable in theoretical mathematics and abstract algebra for illustrating relationships and morphisms
  • Commonly appears in academic papers and mathematical textbooks when depicting complex structural relationships

Examples

Showing diagonal relationships in a commutative diagram.

A↙BA \swarrow B 
A \swarrow B

Indicating a decreasing trend in mathematical analysis.

f(x)↙ as x→∞f(x) \swarrow \text{ as } x \to \infty 
f(x) \swarrow \text{ as } x \to \infty

Illustrating a southwest movement in coordinate geometry.

(x,y)↙(x−h,y−k)(x,y) \swarrow (x-h,y-k) 
(x,y) \swarrow (x-h,y-k)