U+2233 "∳" Anticlockwise Contour Integral Unicode Character
Unicode Version 17.0
∳
U+2233 "∳" Anticlockwise Contour Integral is a mathematical symbol used in complex analysis and vector calculus to denote a line integral taken along a closed curve or contour in the counterclockwise direction. It specifically indicates integration along a positively oriented simple closed path, which is the opposite orientation of the more common clockwise contour integral represented by U+222E. This symbol helps distinguish the direction of integration in contexts where the orientation of the contour affects the sign or result of the integral. While less commonly seen than its clockwise counterpart, it appears in specialized textbooks and formulas dealing with contour integration, residue theorems, and boundary value problems.
General Properties
| Code Point | U+2233 |
| Version Added | 1.1 |
| Name | Anticlockwise Contour Integral |
| Block | Mathematical Operators |
| General Category | Math Symbol |
| Canonical Combining Class | Not Reordered |
| Bidirectional Class | Other Neutral |
| Mirrored | Yes |
Encodings
| HTML Decimal Encoding | ∳ |
| HTML Hex Encoding | ∳ |
| UTF-8 Encoding | 0xE2 0x88 0xB3 |
| UTF-16 Encoding | 0x2233 |
| UTF-32 Encoding | 0x00002233 |
| C/C++/Java Escape | \u2233 |
Unicode Properties
| NFC Quick Check | Yes |
| NFD Quick Check | Yes |
| NFKC Quick Check | Yes |
| NFKD Quick Check | Yes |
| Numeric Type | None |
| Numeric Value | NaN |
| Line Break | Alphabetic |
| Script | Common |
| Script Extensions | Common |
| Indic Syllabic Category | Other |
| Pattern Syntax | Yes |
| Math | Yes |
| Vertical Orientation | Rotated |
| Grapheme Base | Yes |
| Grapheme Cluster Break | Other |
| Word Break | Other |
| Sentence Break | Other |