TeXipedia

nwarrow

Represents a northwest-pointing arrow, commonly used in mathematical diagrams and commutative diagrams.

Overview

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

  • Essential for creating commutative diagrams showing morphisms or mappings between objects
  • Often paired with other directional arrows like \searrow to illustrate relationships or transformations
  • Frequently used in advanced mathematics to demonstrate structural connections or mathematical workflows
  • Appears in textbooks and academic papers when illustrating abstract concepts or multi-step processes

Examples

Showing the northwest direction in a coordinate plane transformation.

T:(x,y)(y,x)T: (x,y) \nwarrow (y,-x)
T: (x,y) \nwarrow (y,-x)

Indicating decreasing and leftward trend in economic analysis.

Market prices as supply increases\text{Market prices} \nwarrow \text{ as supply increases}
\text{Market prices} \nwarrow \text{ as supply increases}

Representing inverse relationship in mathematical notation.

f(x) as xf(x) \nwarrow \text{ as } x \to \infty
f(x) \nwarrow \text{ as } x \to \infty