vert
Represents a vertical bar or pipe symbol used for set-builder notation, absolute values, and conditional probability.
Overview
Essential in mathematical notation across multiple contexts, serving distinct purposes in different mathematical fields:
- Functions as a delimiter in set-builder notation to specify conditions or constraints
- Used to denote absolute value when paired as double bars
- Appears in probability theory to indicate conditional statements
- Common in linear algebra for matrix determinants
- Serves as a separator in various mathematical expressions where vertical bars are syntactically meaningful
Examples
Set builder notation showing a set of numbers satisfying a condition.
S = \{x \in \mathbb{R} \vert x > 0\}Conditional probability notation.
P(A \vert B) = \frac{P(A \cap B)}{P(B)}Function evaluation at a specific point.
f(x) \vert_{x=2} = 4