xleftharpoonup
Draws a long left-pointing harpoon arrow with the barb pointing upward, commonly used in mathematical notation to indicate specialized mappings or transformations.
Overview
Serves as a specialized arrow notation in advanced mathematics, particularly in category theory, abstract algebra, and theoretical physics.
- Often employed to denote specific types of morphisms or functorial relationships
- Used in commutative diagrams and algebraic structures to indicate particular mappings
- Frequently appears in contexts where the direction and orientation of the arrow barb carry specific mathematical meaning
- Provides a distinct alternative to standard arrows when more nuanced notation is required
Examples
Representing a vector with a harpoon arrow above in physical equations.
\vec{v} = \xleftharpoonup{v_0} + \vec{a}tDenoting a directed limit in category theory.
\xleftharpoonup{\lim}_{n \to \infty} X_n