underleftrightarrow
Creates a bidirectional arrow underneath text or mathematical expressions, commonly used to indicate equivalence or correspondence between elements.
Overview
Serves as a specialized mathematical annotation tool, particularly valuable in advanced algebra, category theory, and theoretical mathematics where bidirectional relationships need to be emphasized.
- Often employed to denote bijective mappings or one-to-one correspondences
- Useful in showing transformations or relationships between mathematical objects
- Frequently appears in advanced textbooks and research papers when describing isomorphisms or equivalences
- Can be combined with other mathematical notation to create complex relationship indicators
Examples
Indicating a reversible chemical reaction between compounds A and B.
CH_3COOH \underleftrightarrow{} CH_3COO^- + H^+Showing a bidirectional mapping between two sets.
f: X \underleftrightarrow{} YRepresenting a dynamic equilibrium in thermodynamics.
N_2 + 3H_2 \underleftrightarrow{} 2NH_3