TeXipedia

nearrow

Represents a diagonal arrow pointing to the upper-right, 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.

  • Essential for illustrating mappings, transformations, and relationships between mathematical objects.
  • Often appears in commutative diagrams to show morphisms between objects.
  • Frequently used alongside other directional arrows to create comprehensive mathematical diagrams.
  • Valuable in theoretical computer science and abstract algebra for depicting hierarchical relationships or transitions.

Examples

Showing the direction of a function's growth in a limit calculation.

limxf(x)L\lim_{x \to \infty} f(x) \nearrow L
\lim_{x \to \infty} f(x) \nearrow L

Indicating increasing trend in phase space dynamics.

x(t) as tx(t) \nearrow \text{ as } t \to \infty
x(t) \nearrow \text{ as } t \to \infty

Representing upward movement in a game theory payoff matrix.

P(a,b)P(a,b)P(a,b) \nearrow P(a',b')
P(a,b) \nearrow P(a',b')