Definition:Multifunction/Principal Value
Jump to navigation
Jump to search
Definition
Let $A$ and $B$ be sets.
Let $f: A \to B$ be a multifunction on $A$.
Let $x \in A$ be an element of the domain of $f$.
The principal value of $x$ is the element $y$ of the principal branch of $f$ such that $\map f x = y$.
Also see
Linguistic Note
The word principal is (except in the context of economics) an adjective which means main.
Do not confuse with the word principle, which is a noun.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): inverse trigonometric functions (antitrigonometric functions)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): inverse trigonometric functions (antitrigonometric functions)