⊕
Unicode
U+2295LaTeX
\oplusHTML entity
HTML decimal
⊕MathML
<mo>⊕</mo>Semantic identity and intent
Characters to distinguish
- ⊕ — Exclusive Or
- ⋅ — Dot Operator
- × — Cross Product
Use ⊕ in the right format
Meaning and usage
Combines vector spaces or modules as a direct sum.
Do not confuse it with exclusive OR in logic.
Pronunciation: direct sum
Formula examples
V \oplus WHow to type Direct Sum
- Windows
- Open Character Map and search by name or Unicode U+2295.
- macOS
- Open Character Viewer with Control–Command–Space and search by the symbol name.
- Microsoft Word
- In an equation, type \oplus 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 \oplus.
- 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 ⊕; Do not confuse it with exclusive OR in logic.
- For plain text, copy ⊕ as U+2295; for structured equations, use \oplus in math mode. A look-alike glyph or image can break search, accessibility, or parsing when the intended character is Direct Sum.
When to use ⊕
- Use ⊕ in plain text when a Unicode character is appropriate and the destination preserves U+2295.
- Use \oplus in an equation editor when mathematical spacing or structure matters.
- Define the local meaning when Direct Sum is used in linear algebra with a field-specific convention.
Look-alikes and related characters
- ⊕ — Exclusive Or
- ⋅ — Dot Operator
- × — Cross Product
Font and compatibility notes
Font coverage varies; verify the code point and destination rendering before publication.
Continue the workflow
From Direct Sum to a finished equation
- Copy the characterUse ⊕ in plain text when Unicode is accepted.
- Choose a structured formatUse
\oplusfor LaTeX or the MathML snippet for accessible web equations. - 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
- The Unicode StandardUnicode Consortium — Character identity, encoding, names, and conformance.
- Unicode Character Code ChartsUnicode Consortium — Code points and official character charts.
Frequently asked questions
What does the Direct Sum symbol mean?
Combines vector spaces or modules as a direct sum.
What is the LaTeX command for ⊕?
Use \oplus in a compatible math environment.
Can I copy ⊕ as Unicode?
Yes. Use the copy button above to copy the Unicode character directly.