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Glifo para U+228D
Fuente: Noto Sans Math

U+228D Multiset Multiplication

U+228D was added in Unicode version 1.1 in 1993. It belongs to the block U+2200 para U+22FF Mathematical Operators in the U+0000 para U+FFFF Basic Multilingual Plane.

This character is a Puntuación matemática 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 not mirrored. The word that U+228D forms with similar adjacent characters prevents a line break inside it. The glyph can be confused with one other glyph.

El Wikipedia tiene la siguiente información acerca de este punto de código:

In mathematics, a multiset (or bag, or mset) is a modification of the concept of a set that, unlike a set, allows for multiple instances for each of its elements. The number of instances given for each element is called the multiplicity of that element in the multiset. As a consequence, an infinite number of multisets exist which contain only elements a and b, but vary in the multiplicities of their elements:

  • The set {a, b} contains only elements a and b, each having multiplicity 1 when {a, b} is seen as a multiset.
  • In the multiset {a, a, b}, the element a has multiplicity 2, and b has multiplicity 1.
  • In the multiset {a, a, a, b, b, b}, a and b both have multiplicity 3.

These objects are all different when viewed as multisets, although they are the same set, since they all consist of the same elements. As with sets, and in contrast to tuples, the order in which elements are listed does not matter in discriminating multisets, so {a, a, b} and {a, b, a} denote the same multiset. To distinguish between sets and multisets, a notation that incorporates square brackets is sometimes used: the multiset {a, a, b} can be denoted by [a, a, b].

The cardinality of a multiset is the sum of the multiplicities of all its elements. For example, in the multiset {a, a, b, b, b, c} the multiplicities of the members a, b, and c are respectively 2, 3, and 1, and therefore the cardinality of this multiset is 6.

Nicolaas Govert de Bruijn coined the word multiset in the 1970s, according to Donald Knuth.: 694  However, the concept of multisets predates the coinage of the word multiset by many centuries. Knuth himself attributes the first study of multisets to the Indian mathematician Bhāskarāchārya, who described permutations of multisets around 1150. Other names have been proposed or used for this concept, including list, bunch, bag, heap, sample, weighted set, collection, and suite.: 694 

Representaciones

Sistema Representación
N.º 8845
UTF-8 E2 8A 8D
UTF-16 22 8D
UTF-32 00 00 22 8D
URL-Quoted %E2%8A%8D
HTML hex reference ⊍
Mojibake mal de windows-1252 ⊍
HTML named entity ⊍

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Registro completo

Propiedad Valor
Antigüedad (age) 1.1 (1993)
Nombre Unicode (na) MULTISET MULTIPLICATION
Nombre Unicode 1 (na1)
Block (blk) Mathematical Operators
Categoría general (gc) Puntuación matemática
Script (sc) Common
Categoría de bidireccionalidad (bc) Other Neutral
Combining Class (ccc) Not Reordered
Tipo de descomposición (dt) none
Decomposition Mapping (dm) Glifo para U+228D Multiset Multiplication
Minúscula (Lower)
Simple Lowercase Mapping (slc) Glifo para U+228D Multiset Multiplication
Lowercase Mapping (lc) Glifo para U+228D Multiset Multiplication
Mayúscula (Upper)
Simple Uppercase Mapping (suc) Glifo para U+228D Multiset Multiplication
Uppercase Mapping (uc) Glifo para U+228D Multiset Multiplication
Simple Titlecase Mapping (stc) Glifo para U+228D Multiset Multiplication
Titlecase Mapping (tc) Glifo para U+228D Multiset Multiplication
Case Folding (cf) Glifo para U+228D Multiset Multiplication
ASCII Hex Digit (AHex)
Alphabetic (Alpha)
Bidi Control (Bidi_C)
Bidi Mirrored (Bidi_M)
Exclusión de descomposición (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)
Exclusión de composición completa (Comp_Ex)
Default Ignorable Code Point (DI)
Raya (Dash)
Deprecated (Dep)
Diacrítico (Dia)
Base de modificador de emoyi (EBase)
Componente de emoyi (EComp)
Modificador de emoyi (EMod)
Presentación de emoyi (EPres)
Emoyi (Emoji)
Extender (Ext)
Extended Pictographic (ExtPict)
FC NFKC Closure (FC_NFKC) Glifo para U+228D Multiset Multiplication
Grapheme Cluster Break (GCB) Any
Base de grafema (Gr_Base)
Extensión de grafema (Gr_Ext)
Enlace de grafema (Gr_Link)
Hex Digit (Hex)
Guion (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)
Math (Math)
Noncharacter Code Point (NChar)
NFC Quick Check (NFC_QC)
NFD Quick Check (NFD_QC)
NFKC Casefold (NFKC_CF) Glifo para U+228D Multiset Multiplication
NFKC Quick Check (NFKC_QC)
NFKC_SCF (NFKC_SCF) Glifo para U+228D Multiset Multiplication
NFKD Quick Check (NFKD_QC)
Other Alphabetic (OAlpha)
Other Default Ignorable Code Point (ODI)
Otra extensión de grafema (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)
Comilla (QMark)
Indicador regional (RI)
Radical (Radical)
Salto de oración (SB) Other
Soft Dotted (SD)
Sentence Terminal (STerm)
Terminal Punctuation (Term)
Ideograma unificado (UIdeo)
Selector de variación (VS)
Salto de palabra (WB) Other
Espacio en blanco (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 Paired Bracket (bpb) Glifo para U+228D Multiset Multiplication
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
Valor numérico (nv) not a number
Simple Case Folding (scf) Glifo para U+228D Multiset Multiplication
Script Extension (scx)
Orientación vertical (vo) R