Math symbol reference

Left Ceiling Bracket

Begins ceiling notation, which rounds a real number up to the least integer not below it.

UnicodeU+2308
LaTeX\lceil
HTML entity⌈
HTML decimal⌈
MathML<mo>⌈</mo>

Semantic identity and intent

Semantic type

delimiter

A delimiter that groups, encloses, evaluates, or separates mathematical expressions.

Primary search task

understand how the delimiter groups an expression and copy the correct character

Functions and OperatorsNumber Theory Symbols

MathML token

<mo>

Use ⌈ as part of a matched delimiter structure. Check its opening or closing partner, nesting, and automatic sizing in the destination equation system.

Characters to distinguish

  • ⌉ — Right Ceiling Bracket

Use ⌈ in the right format

Meaning and usage

Begins ceiling notation, which rounds a real number up to the least integer not below it.

Pair it with a right ceiling bracket around the argument.

Pronunciation: left ceiling bracket

Formula examples

⌈x

How to type Left Ceiling Bracket

Windows
Use Character Map or enter U+2308 in a Unicode-aware application.
macOS
Open Character Viewer with Control–Command–Space and search by the symbol name.
Microsoft Word
In an equation, type \lceil and press Space when Word supports the command.
iPhone and iPad
Copy and paste ⌈, or use a math/LaTeX app. The standard iOS keyboard may not expose every mathematical symbol.
Android
Copy and paste ⌈, or use a math keyboard or LaTeX editor. Keyboard layouts vary by device and app.
Google Docs
For plain text, paste ⌈ or use Insert → Special characters. For structured math, use the equation editor and verify \lceil.
Excel
Paste ⌈ into a cell or use Insert → Symbol when available. Ordinary cells preserve the character but do not interpret LaTeX commands.

Common mistakes

  • Preserve grouping, operator order, and spacing around ⌈; Pair it with a right ceiling bracket around the argument.
  • For plain text, copy ⌈ as U+2308; for structured equations, use \lceil in math mode. A look-alike glyph or image can break search, accessibility, or parsing when the intended character is Left Ceiling Bracket.

When to use ⌈

  • Use ⌈ in plain text when a Unicode character is appropriate and the destination preserves U+2308.
  • Use \lceil in an equation editor when mathematical spacing or structure matters.
  • Define the local meaning when Left Ceiling Bracket is used in functions operators, number theory with a field-specific convention.

Look-alikes and related characters

  • ⌉ — Right Ceiling Bracket

Font and compatibility notes

Font coverage varies; verify the code point and destination rendering before publication.

Continue the workflow

From Left Ceiling Bracket to a finished equation

  1. Copy the characterUse ⌈ in plain text when Unicode is accepted.
  2. Choose a structured formatUse \lceil for LaTeX or the MathML snippet for accessible web equations.
  3. Edit or convertOpen the value in the editor or converter without retyping it.

Review and source notes

Quality tier: catalog

Last reviewed: 2026-07-23

Review method: Catalog review of character identity and notation mappings.

Verified against: Unicode Standard, Unicode mathematical notation guidance, and established LaTeX/MathML syntax.

Reference sources

Frequently asked questions

What does the Left Ceiling Bracket symbol mean?

Begins ceiling notation, which rounds a real number up to the least integer not below it.

What is the LaTeX command for ⌈?

Use \lceil in a compatible math environment.

Can I copy ⌈ as Unicode?

Yes. Use the copy button above to copy the Unicode character directly.

Reuse, attribution, and correction

Share this reference without losing its source

Copy a citation, permanent link, Markdown link, or self-contained embed card. Each reusable format points readers back to the maintained canonical page.

Report an issue

Search the whole reference

Symbols, formulas, guides, tools and commands

Start typing to search.

move · Enter open · Esc close