U+2A16 "⨖" Quaternion Integral Operator Unicode Character

U+2A16 "⨖" Quaternion Integral Operator is a mathematical symbol used in advanced algebra and analysis to denote integration over the noncommutative field of quaternions, often employed in contexts such as quaternionic calculus, hypercomplex analysis, and theoretical physics. It features a double-struck integral sign with a diagonal stroke or crossbar, distinguishing it from standard integral operators, and it specifically represents an integral that respects the unique multiplication and division properties of quaternions, which do not commute like real or complex numbers. This operator is a less common but precise notation found in specialized mathematical literature, where it simplifies expressions of quaternion-valued functions and their integrals across multidimensional domains.

General Properties

Code Point	U+2A16
Version Added	3.2
Name	Quaternion Integral Operator
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 0x96
UTF-16 Encoding	0x2A16
UTF-32 Encoding	0x00002A16
C/C++/Java Escape	\u2a16

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