TeXipedia

rightharpoonup

Represents a rightward-pointing harpoon arrow with the barb pointing upward, commonly used in mathematical notation to indicate specific types of mappings or transformations.

Overview

Serves as a specialized arrow notation in advanced mathematics, particularly in abstract algebra, category theory, and theoretical physics.

  • Often indicates specific types of morphisms or specialized mathematical mappings
  • Used in vector notation, especially when distinguishing between different types of vector operations
  • Appears in functional analysis and topology to denote particular transformations
  • Frequently combined with other arrow notations to create precise mathematical meaning

Examples

Representing a vector quantity in physics, particularly for velocity vectors.

v⃗⇀v⃗f\vec{v} \rightharpoonup \vec{v}_f 
\vec{v} \rightharpoonup \vec{v}_f

Indicating a limiting process or transformation in mathematical analysis.

xn⇀xx_n \rightharpoonup x 
x_n \rightharpoonup x

Showing weak convergence in functional analysis.

fn⇀f in L2(Ω)f_n \rightharpoonup f \text{ in } L^2(\Omega) 
f_n \rightharpoonup f \text{ in } L^2(\Omega)