U+2259 was added to Unicode in version 1.1 (1993). It belongs to the block Mathematical Operators in the Basic Multilingual Plane.

This character is a Math Symbol and is commonly used, that is, in no specific script. The character is also known as *corresponds to*.

The glyph is not a composition. It has a Neutral East Asian Width. In bidirectional context it acts as Other Neutral and is not mirrored. The glyph can, under circumstances, be confused with 1 other glyphs. In text U+2259 behaves as Alphabetic regarding line breaks. It has type Other for sentence and Other for word breaks. The Grapheme Cluster Break is Any.

The Wikipedia has the following information about this codepoint:

In mathematics and mathematical economics,

correspondenceis a term with several related but distinct meanings.

- In general mathematics, a
correspondenceis an ordered triple (X,Y,R), whereRis a relation fromXtoY, i.e. any subset of the Cartesian productX×Y.

- In algebraic geometry, a
correspondencebetween algebraic varietiesVandWis in the same fashion a subsetRofV×W, which is in addition required to be closed in the Zariski topology. It therefore means any relation that is defined by algebraic equations. There are some important examples, even whenVandWare algebraic curves: for example the Hecke operators of modular form theory may be considered as correspondences of modular curves.

- However, the definition of a correspondence in algebraic geometry is not completely standard. For instance, Fulton, in his book on Intersection theory, uses the definition above. In literature, however, a correspondence from a variety
Xto a varietyYis often taken to be a subsetZofX×Ysuch thatZis finite and surjective over each component ofX. Note the asymmetry in this latter definition; which talks about a correspondence fromXtoYrather than a correspondence betweenXandY. The typical example of the latter kind of correspondence is the graph of a function f:X→Y. Correspondences also play an important role in the construction of motives.

- In category theory, a
correspondencefrom to is a functor . It is the "opposite" of a profunctor.

is an alternate name for a bijection.One-to-one correspondence

- In von Neumann algebra theory, a
correspondenceis a synonym for a von Neumann algebra bimodule.

- In economics, a
correspondencebetween two setsAandBis a map f:A→P(B) from the elements of the setAto the power set ofB. This is similar to a correspondence as defined in general mathematics (i.e., a relation,) except that the range is over sets instead of elements. However, there is usually the additional property that for allainA,f(a) is not empty. In other words, each element inAmaps to a non-empty subset ofB; or in terms of a relationRas subset ofA×B,Rprojects toAsurjectively. A correspondence with this additional property is thought of as the generalization of a function, rather than as a special case of a relation, and is referred to in other contexts as a multivalued function.

- An example of a correspondence in this sense is the best response correspondence in game theory, which gives the optimal action for a player as a function of the strategies of all other players. If there is always a unique best action given what the other players are doing, then this is a function. If for some opponent's strategy, there is a set of best responses that are equally good, then this is a correspondence.

System | Representation |
---|---|

Nº | 8793 |

UTF-8 | E2 89 99 |

UTF-16 | 22 59 |

UTF-32 | 00 00 22 59 |

URL-Quoted | %E2%89%99 |

HTML-Escape | ≙ |

Wrong windows-1252 Mojibake | â |

HTML-Escape | ≙ |

alias | corresponds to |

L^{a}T_{e}X |
\estimates |

Property | Value |
---|---|

Age (age) | 1.1 |

Unicode Name (na) | ESTIMATES |

Unicode 1 Name (na1) | — |

Block (blk) | Math_Operators |

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) | |

Lowercase (Lower) | ✘ |

Simple Lowercase Mapping (slc) | |

Lowercase Mapping (lc) | |

Uppercase (Upper) | ✘ |

Simple Uppercase Mapping (suc) | |

Uppercase Mapping (uc) | |

Simple Titlecase Mapping (stc) | |

Titlecase Mapping (tc) | |

Case Folding (cf) | |

ASCII Hex Digit (AHex) | ✘ |

Alphabetic (Alpha) | ✘ |

Bidi Control (Bidi_C) | ✘ |

Bidi Mirrored (Bidi_M) | ✘ |

Bidi Paired Bracket (bpb) | |

Bidi Paired Bracket Type (bpt) | None |

Cased (Cased) | ✘ |

Composition Exclusion (CE) | ✘ |

Case Ignorable (CI) | ✘ |

Full Composition Exclusion (Comp_Ex) | ✘ |

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) | ✘ |

Dash (Dash) | ✘ |

Deprecated (Dep) | ✘ |

Default Ignorable Code Point (DI) | ✘ |

Diacritic (Dia) | ✘ |

East Asian Width (ea) | Neutral |

Extender (Ext) | ✘ |

FC NFKC Closure (FC_NFKC) | |

Grapheme Cluster Break (GCB) | Any |

Grapheme Base (Gr_Base) | ✔ |

Grapheme Extend (Gr_Ext) | ✘ |

Grapheme Link (Gr_Link) | ✘ |

Hex Digit (Hex) | ✘ |

Hangul Syllable Type (hst) | Not Applicable |

Hyphen (Hyphen) | ✘ |

ID Continue (IDC) | ✘ |

Ideographic (Ideo) | ✘ |

ID Start (IDS) | ✘ |

IDS Binary Operator (IDSB) | ✘ |

IDS Trinary Operator and (IDST) | ✘ |

InMC (InMC) | — |

Indic Positional Category (InPC) | NA |

Indic Syllabic Category (InSC) | Other |

ISO 10646 Comment (isc) | — |

Joining Group (jg) | No_Joining_Group |

Join Control (Join_C) | ✘ |

Jamo Short Name (JSN) | — |

Joining Type (jt) | Non Joining |

Line Break (lb) | Alphabetic |

Logical Order Exception (LOE) | ✘ |

Math (Math) | ✔ |

Noncharacter Code Point (NChar) | ✘ |

NFC Quick Check (NFC_QC) | Yes |

NFD Quick Check (NFD_QC) | Yes |

NFKC Casefold (NFKC_CF) | |

NFKC Quick Check (NFKC_QC) | Yes |

NFKD Quick Check (NFKD_QC) | Yes |

Numeric Type (nt) | None |

Numeric Value (nv) | NaN |

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) | ✘ |

Pattern Syntax (Pat_Syn) | ✔ |

Pattern White Space (Pat_WS) | ✘ |

Quotation Mark (QMark) | ✘ |

Radical (Radical) | ✘ |

Sentence Break (SB) | Other |

Simple Case Folding (scf) | |

Script Extension (scx) | Common |

Soft Dotted (SD) | ✘ |

STerm (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) | ✘ |