TeXipedia

rvert

Represents a right vertical bar delimiter used for mathematical notation, particularly in set theory and absolute value expressions.

Overview

Serves as a crucial mathematical delimiter that forms the right component of paired vertical bars, commonly working in conjunction with \lvert for enclosing mathematical expressions.

  • Essential for proper mathematical typesetting in set builder notation
  • Frequently used in defining absolute values and norms
  • Provides better spacing and mathematical semantics compared to using the standard vertical bar character
  • Particularly important in advanced mathematics and theoretical physics where precise notation is critical

Examples

Evaluating a function at a specific value using right vertical bar notation.

f(x)∣x=2=4f(x) \rvert_{x=2} = 4 
f(x) \rvert_{x=2} = 4

Denoting the absolute value of a complex number using paired vertical bars.

∣z∣=x2+y2\lvert z \rvert = \sqrt{x^2 + y^2} 
\lvert z \rvert = \sqrt{x^2 + y^2}

Indicating a boundary condition in differential equations.

dudx∣x=0=1\frac{du}{dx} \rvert_{x=0} = 1 
\frac{du}{dx} \rvert_{x=0} = 1