U+2061 was added to Unicode in version 3.2 (2002). It belongs to the block General Punctuation in the Basic Multilingual Plane.

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

The glyph is not a composition. It has a Neutral East Asian Width. In bidirectional context it acts as Boundary Neutral and is not mirrored. In text U+2061 behaves as Alphabetic regarding line breaks. It has type Format for sentence and Format for word breaks. The Grapheme Cluster Break is Control.

The Wikipedia has the following information about this codepoint:

In mathematics, a

functionis a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real numberxto its squarex^{2}. The output of a functionfcorresponding to an inputxis denoted byf(x) (read "fofx"). In this example, if the input is −3, then the output is 9, and we may writef(−3) = 9. Likewise, if the input is 3, then the output is also 9, and we may writef(3) = 9. (The same output may be produced by more than one input, but each input gives only one output.) The input variable(s) are sometimes referred to as the argument(s) of the function.Functions of various kinds are "the central objects of investigation" in most fields of modern mathematics. There are many ways to describe or represent a function. Some functions may be defined by a formula or algorithm that tells how to compute the output for a given input. Others are given by a picture, called the graph of the function. In science, functions are sometimes defined by a table that gives the outputs for selected inputs. A function could be described implicitly, for example as the inverse to another function or as a solution of a differential equation.

The input and output of a function can be expressed as an ordered pair, ordered so that the first element is the input (or tuple of inputs, if the function takes more than one input), and the second is the output. In the example above,

f(x) =x^{2}, we have the ordered pair (−3, 9). If both input and output are real numbers, this ordered pair can be viewed as the Cartesian coordinates of a point on the graph of the function.In modern mathematics, a function is defined by its set of inputs, called the

domain; a set containing the set of outputs, and possibly additional elements, as members, called itscodomain; and the set of all input-output pairs, called itsgraph. Sometimes the codomain is called the function's "range", but more commonly the word "range" is used to mean, instead, specifically the set of outputs (this is also called theimageof the function). For example, we could define a function using the rulef(x) =x^{2}by saying that the domain and codomain are the real numbers, and that the graph consists of all pairs of real numbers (x,x^{2}). The image of this function is the set of non-negative real numbers. Collections of functions with the same domain and the same codomain are called function spaces, the properties of which are studied in such mathematical disciplines as real analysis, complex analysis, and functional analysis.In analogy with arithmetic, it is possible to define addition, subtraction, multiplication, and division of functions, in those cases where the output is a number. Another important operation defined on functions is function composition, where the output from one function becomes the input to another function.

^The wordsmapormapping,transformation,correspondence, andoperatorare often used synonymously. Halmos 1970, p. 30.^Spivak 2008, p. 39.^MacLane, Saunders; Birkhoff, Garrett (1967).Algebra(First ed.). New York: Macmillan. pp. 1–13.

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

Nº | 8289 |

UTF-8 | E2 81 A1 |

UTF-16 | 20 61 |

UTF-32 | 00 00 20 61 |

URL-Quoted | %E2%81%A1 |

HTML-Escape | ⁡ |

Wrong windows-1252 Mojibake | ï¿½ |

HTML-Escape | ⁡ |

HTML-Escape | ⁡ |

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

Age (age) | 3.2 |

Unicode Name (na) | FUNCTION APPLICATION |

Unicode 1 Name (na1) | — |

Block (blk) | Punctuation |

General Category (gc) | Format |

Script (sc) | Common |

Bidirectional Category (bc) | Boundary 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) | Control |

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) | Transparent |

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 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) | Format |

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) | Format |

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) | ✘ |