U+2A11 "⨑" Anticlockwise Integration Unicode Character

Unicode Version 17.0

U+2A11 "⨑" Anticlockwise Integration is a mathematical symbol used in multivariable calculus and vector analysis to denote an integration performed along a closed path in the opposite direction of the standard clockwise convention, typically indicating a line integral oriented counterclockwise around a loop. It belongs to the Supplemental Mathematical Operators block and serves as a precise notation for distinguishing the orientation of a closed contour integral, where the anticlockwise direction often aligns with the positive orientation implied by the right-hand rule in two dimensions. This symbol helps clarify the sign and direction of integration in theorems like Green's theorem or Stokes' theorem, where the orientation of the boundary directly affects the integral's result. While less common than its clockwise counterpart (∳), it provides necessary specificity in advanced mathematical contexts and is supported by modern Unicode-compliant fonts and typesetting systems.

General Properties

Code Point U+2A11
Version Added 3.2
Name Anticlockwise Integration
Block Supplemental 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 0xA8 0x91
UTF-16 Encoding 0x2A11
UTF-32 Encoding 0x00002A11
C/C++/Java Escape \u2a11

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