rightharpoondown
Represents a rightward-pointing harpoon with a downward-oriented barb, commonly used in mathematical notation for specialized mappings and operations.
Overview
Serves as a specialized arrow notation primarily found in advanced mathematics and theoretical physics contexts where specific types of mappings or transformations need to be denoted.
- Often used in category theory and abstract algebra to indicate particular types of morphisms
- Appears in functional analysis and operator theory to denote specific transformations
- Frequently combined with other arrow notations to create paired relationships or indicate dual operations
- Particularly useful in contexts where the direction and orientation of the barb carry specific mathematical meaning
Examples
Representing a downward-pointing harpoon in a vector field transformation.
T: V \rightharpoondown WIndicating a specific type of mapping or relation in category theory.
f: X \rightharpoondown YDenoting a partial function in mathematical logic.
\phi: A \rightharpoondown B