TeXipedia

rceil

Represents the right ceiling bracket used in mathematical notation to denote the ceiling function or create delimiters.

Overview

Essential for mathematical typesetting where right ceiling brackets are needed to complete ceiling function notation or create vertical delimiters in expressions.

  • Commonly paired with \lceil to enclose expressions in ceiling function notation
  • Used in discrete mathematics and computer science to denote rounding up to the nearest integer
  • Appears frequently in algorithmic complexity analysis and number theory
  • Can be scaled automatically in LaTeX to match the height of enclosed expressions

Examples

Right ceiling bracket in a set builder notation.

S={x∈R:0≤x≤⌈π⌉}S = \{x \in \mathbb{R} : 0 \leq x \leq \lceil \pi \rceil\} 
S = \{x \in \mathbb{R} : 0 \leq x \leq \lceil \pi \rceil\}

Ceiling function in a mathematical expression.

f(x)=⌈x⌉−⌈x−1⌉f(x) = \lceil x \rceil - \lceil x - 1 \rceil 
f(x) = \lceil x \rceil - \lceil x - 1 \rceil

Matrix norm calculation with ceiling.

∥A∥≤⌈n⌉\|A\| \leq \lceil \sqrt{n} \rceil 
\|A\| \leq \lceil \sqrt{n} \rceil