TeXipedia

Darr

Represents a double downward-pointing arrow, commonly used to indicate strong downward relationships or decreasing trends in mathematical expressions.

Overview

Serves as a distinctive arrow variant in mathematical notation, particularly useful when emphasizing vertical relationships or hierarchical structures.

  • Often employed in commutative diagrams and mathematical proofs
  • Used to show significant decreases or downward mappings in formal notation
  • Appears in set theory and abstract algebra to denote specific downward relations
  • Provides a more emphatic alternative to single downward arrows when stronger visual emphasis is needed

Examples

Showing a significant decrease in a statistical trend

Temperature by 15°C\text{Temperature} \Darr \text{ by } 15°\text{C}
\text{Temperature} \Darr \text{ by } 15°\text{C}

Indicating downward movement in mathematical sequences

an0 as na_n \Darr 0 \text{ as } n \to \infty
a_n \Darr 0 \text{ as } n \to \infty

Representing a downward mapping between sets

f:ABf: A \Darr B
f: A \Darr B