Home U+2A00 to U+2AFF Supplemental Mathematical Operators
Glyph for U+2A3C
Source: Noto Sans Math

U+2A3C Interior Product

U+2A3C was added in Unicode version 3.2 in 2002. It belongs to the block U+2A00 to U+2AFF Supplemental Mathematical Operators in the U+0000 to U+FFFF Basic Multilingual Plane.

This character is a Math Symbol and is commonly used, that is, in no specific script.

The glyph is not a composition. It has no designated width in East Asian texts. In bidirectional text it acts as Other Neutral. When changing direction it is mirrored into Glyph for U+2A3D Righthand Interior Product. The word that U+2A3C forms with similar adjacent characters prevents a line break inside it.

The CLDR project calls this character “interior product” for use in screen reading software. It assigns these additional labels, e.g. for search in emoji pickers: interior, product.

The Wikipedia has the following information about this codepoint:

In mathematics, the interior product (also known as interior derivative, interior multiplication, inner multiplication, inner derivative, insertion operator, or inner derivation) is a degree −1 (anti)derivation on the exterior algebra of differential forms on a smooth manifold. The interior product, named in opposition to the exterior product, should not be confused with an inner product. The interior product ι X ω is sometimes written as X ⌟ ω .

Representations

System Representation
Nº 10812
UTF-8 E2 A8 BC
UTF-16 2A 3C
UTF-32 00 00 2A 3C
URL-Quoted %E2%A8%BC
HTML hex reference ⨼
Wrong windows-1252 Mojibake ⨼
HTML named entity ⨼
HTML named entity ⨼
Encoding: GB18030 (hex bytes) 81 38 90 36
LATEX \ElsevierGlyph{E259}

Related Characters

Elsewhere

Complete Record

Property Value
Age (age) 3.2 (2002)
Unicode Name (na) INTERIOR PRODUCT
Unicode 1 Name (na1) —
Block (blk) Supplemental Arrows-C
General Category (gc) Math Symbol
Script (sc) Common
Bidirectional Category (bc) Other Neutral
Combining Class (ccc) Not Reordered
Decomposition Type (dt) none
Decomposition Mapping (dm) Glyph for U+2A3C Interior Product
Lowercase (Lower) ✘
Simple Lowercase Mapping (slc) Glyph for U+2A3C Interior Product
Lowercase Mapping (lc) Glyph for U+2A3C Interior Product
Uppercase (Upper) ✘
Simple Uppercase Mapping (suc) Glyph for U+2A3C Interior Product
Uppercase Mapping (uc) Glyph for U+2A3C Interior Product
Simple Titlecase Mapping (stc) Glyph for U+2A3C Interior Product
Titlecase Mapping (tc) Glyph for U+2A3C Interior Product
Case Folding (cf) Glyph for U+2A3C Interior Product
ASCII Hex Digit (AHex) ✘
Alphabetic (Alpha) ✘
Bidi Control (Bidi_C) ✘
Bidi Mirrored (Bidi_M) ✔
Composition Exclusion (CE) ✘
Case Ignorable (CI) ✘
Changes When Casefolded (CWCF) ✘
Changes When Casemapped (CWCM) ✘
Changes When NFKC Casefolded (CWKCF) ✘
Changes When Lowercased (CWL) ✘
Changes When Titlecased (CWT) ✘
Changes When Uppercased (CWU) ✘
Cased (Cased) ✘
Full Composition Exclusion (Comp_Ex) ✘
Default Ignorable Code Point (DI) ✘
Dash (Dash) ✘
Deprecated (Dep) ✘
Diacritic (Dia) ✘
Emoji Modifier Base (EBase) ✘
Emoji Component (EComp) ✘
Emoji Modifier (EMod) ✘
Emoji Presentation (EPres) ✘
Emoji (Emoji) ✘
Extender (Ext) ✘
Extended Pictographic (ExtPict) ✘
FC NFKC Closure (FC_NFKC) Glyph for U+2A3C Interior Product
Grapheme Cluster Break (GCB) Any
Grapheme Base (Gr_Base) ✔
Grapheme Extend (Gr_Ext) ✘
Grapheme Link (Gr_Link) ✘
Hex Digit (Hex) ✘
Hyphen (Hyphen) ✘
ID Continue (IDC) ✘
ID Start (IDS) ✘
IDS Binary Operator (IDSB) ✘
IDS Trinary Operator and (IDST) ✘
IDSU (IDSU) 0
ID_Compat_Math_Continue (ID_Compat_Math_Continue) 0
ID_Compat_Math_Start (ID_Compat_Math_Start) 0
Ideographic (Ideo) ✘
InCB (InCB) None
Indic Mantra Category (InMC) —
Indic Positional Category (InPC) NA
Indic Syllabic Category (InSC) Other
Jamo Short Name (JSN) —
Join Control (Join_C) ✘
Logical Order Exception (LOE) ✘
Modifier Combining Mark (MCM) ✘
Math (Math) ✔
Noncharacter Code Point (NChar) ✘
NFC Quick Check (NFC_QC) Yes
NFD Quick Check (NFD_QC) Yes
NFKC Casefold (NFKC_CF) Glyph for U+2A3C Interior Product
NFKC Quick Check (NFKC_QC) Yes
NFKC_SCF (NFKC_SCF) Glyph for U+2A3C Interior Product
NFKD Quick Check (NFKD_QC) Yes
Other Alphabetic (OAlpha) ✘
Other Default Ignorable Code Point (ODI) ✘
Other Grapheme Extend (OGr_Ext) ✘
Other ID Continue (OIDC) ✘
Other ID Start (OIDS) ✘
Other Lowercase (OLower) ✘
Other Math (OMath) ✘
Other Uppercase (OUpper) ✘
Prepended Concatenation Mark (PCM) ✘
Pattern Syntax (Pat_Syn) ✔
Pattern White Space (Pat_WS) ✘
Quotation Mark (QMark) ✘
Regional Indicator (RI) ✘
Radical (Radical) ✘
Sentence Break (SB) Other
Soft Dotted (SD) ✘
Sentence Terminal (STerm) ✘
Terminal Punctuation (Term) ✘
Unified Ideograph (UIdeo) ✘
Variation Selector (VS) ✘
Word Break (WB) Other
White Space (WSpace) ✘
XID Continue (XIDC) ✘
XID Start (XIDS) ✘
Expands On NFC (XO_NFC) ✘
Expands On NFD (XO_NFD) ✘
Expands On NFKC (XO_NFKC) ✘
Expands On NFKD (XO_NFKD) ✘
Bidi Mirrored Glyph (bmg) Glyph for U+2A3D Righthand Interior Product
Bidi Paired Bracket (bpb) Glyph for U+2A3C Interior Product
Bidi Paired Bracket Type (bpt) None
East Asian Width (ea) neutral
Hangul Syllable Type (hst) Not Applicable
ISO 10646 Comment (isc) —
Joining Group (jg) No_Joining_Group
Joining Type (jt) Non Joining
Line Break (lb) Alphabetic
Numeric Type (nt) none
Numeric Value (nv) not a number
Simple Case Folding (scf) Glyph for U+2A3C Interior Product
Script Extension (scx)
Vertical Orientation (vo) R