TeXipedia

downdownarrows

Indicates a double downward arrow notation, commonly used to show descending sequences or downward progression in mathematical expressions.

Overview

Serves as a specialized mathematical notation primarily found in advanced algebra and analysis contexts where multiple-level descent or sequential downward relationships need to be emphasized.

  • Often appears in sequence notation and order theory
  • Used to denote strictly decreasing sequences or nested relationships
  • Helpful in describing hierarchical structures or cascading mathematical properties
  • Particularly useful in abstract algebra and theoretical mathematics where multiple levels of descent need visualization

Examples

Showing a rapidly decreasing sequence approaching zero.

xn⇊0 as n→∞x_n \downdownarrows 0 \text{ as } n \to \infty 
x_n \downdownarrows 0 \text{ as } n \to \infty

Indicating a strong downward trend in statistical analysis.

Market prices ⇊ during recession\text{Market prices } \downdownarrows \text{ during recession} 
\text{Market prices } \downdownarrows \text{ during recession}

Representing a double decrease in chemical reaction rates.

Reaction rate ⇊ at low temperature\text{Reaction rate } \downdownarrows \text{ at low temperature} 
\text{Reaction rate } \downdownarrows \text{ at low temperature}