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The asterisk ( ), from Late Latin , from Ancient Greek , , "little star", is a typographical symbol. It is so called because it resembles a conventional image of a heraldic star.
Computer scientists Computer science is the study of computation, automation, and information. Computer science spans theoretical disciplines (such as algorithms, theory of computation, information theory, and automation) to practical disciplines (including th ...
and mathematicians often vocalize it as star (as, for example, in ''the A* search algorithm'' or ''
C*-algebra In mathematics, specifically in functional analysis, a C∗-algebra (pronounced "C-star") is a Banach algebra together with an involution satisfying the properties of the adjoint. A particular case is that of a complex algebra ''A'' of continuous ...
''). An asterisk is usually five- or six-pointed in
print Printing is the process for reproducing text and images using a master form or template Print or printing may also refer to: Publishing * Canvas print, the result of an image printed onto canvas which is often stretched, or gallery-wrapped, o ...
and six- or eight-pointed when handwritten, though more complex forms exist. Its most common use is to call out a footnote. It is also often used to censor offensive words. In computer science, the asterisk is commonly used as a wildcard character, or to denote pointers, repetition, or
multiplication Multiplication (often denoted by the cross symbol , by the mid-line dot operator , by juxtaposition, or, on computers, by an asterisk ) is one of the four elementary mathematical operations of arithmetic, with the other ones being additi ...
.


History

The asterisk was already in use as a symbol in ice age cave paintings. There is also a two-thousand-year-old character used by Aristarchus of Samothrace called the , , which he used when proofreading Homeric poetry to mark lines that were duplicated. Origen is known to have also used the asteriskos to mark missing Hebrew lines from his
Hexapla ''Hexapla'' ( grc, Ἑξαπλᾶ, "sixfold") is the term for a critical edition of the Hebrew Bible in six versions, four of them translated into Greek, preserved only in fragments. It was an immense and complex word-for-word comparison of the ...
. The asterisk evolved in shape over time, but its meaning as a symbol used to correct defects remained. In the Middle Ages, the asterisk was used to emphasize a particular part of text, often linking those parts of the text to a marginal comment. However, an asterisk was not always used. One hypothesis to the origin of the asterisk is that it stems from the 5000-year-old
Sumerian Sumerian or Sumerians may refer to: *Sumer, an ancient civilization **Sumerian language **Sumerian art **Sumerian architecture **Sumerian literature **Cuneiform script, used in Sumerian writing *Sumerian Records, an American record label based in ...
character
dingir ''Dingir'' (, usually transliterated DIĜIR, ) is a Sumerian word for "god" or "goddess". Its cuneiform sign is most commonly employed as the determinative for religious names and related concepts, in which case it is not pronounced and is con ...
, , though this hypothesis seems to only be based on visual appearance.


Usage


Censorship

When toning down
expletive Expletive may refer to: * Expletive (linguistics), a word or phrase that is not needed to express the basic meaning of the sentence *Expletive pronoun, a pronoun used as subject or other verb argument that is meaningless but syntactically required ...
s, asterisks are often used to replace letters. For example, the word "badword" might become "ba***rd", "b*****d", "b******" or even "*******". Vowels tend to be censored with an asterisk more than consonants, but the intelligibility of censored profanities with multiple syllables such as "b*dw*rd" and "b*****d" or "ba****d", or uncommon ones is higher if put in context with surrounding text. When a document containing classified information is published, the document may be "sanitized" ( redacted) by replacing the classified information with asterisks. For example, the Intelligence and Security Committee Russia report.


Competitive sports and games

In colloquial usage, an asterisk attached to a sporting
record A record, recording or records may refer to: An item or collection of data Computing * Record (computer science), a data structure ** Record, or row (database), a set of fields in a database related to one entity ** Boot sector or boot record, ...
indicates that it is somehow tainted. This is because results that have been considered dubious or set aside are recorded in the record books with an asterisk rendering to a footnote explaining the reason or reasons for concern.


Baseball

The usage of the term in sports arose during the 1961 baseball season in which
Roger Maris Roger Eugene Maris (September 10, 1934 – December 14, 1985) was an American professional baseball right fielder who played 12 seasons in Major League Baseball (MLB). He is best known for setting a new MLB single-season home run record with 61 ...
of the New York Yankees was threatening to break Babe Ruth's 34-year-old single-season home run record. Ruth had amassed 60 home runs in a season with only 154 games, but Maris was playing the first season in the American League's newly expanded 162-game season. Baseball Commissioner
Ford C. Frick Ford Christopher Frick (December 19, 1894 – April 8, 1978) was an American sportswriter and baseball executive. After working as a teacher and as a sportswriter for the ''New York American'', he served as public relations director of the Natio ...
, a friend of Ruth's during the legendary slugger's lifetime, held a press conference to announce his "ruling" that should Maris take longer than 154 games both records would be acknowledged by Major League Baseball, but that some "distinctive mark" is termref name=Salon> be placed next to Maris', which should be listed alongside Ruth's achievement in the "record books". The asterisk as such a mark was suggested at that time by
New York Daily News The New York ''Daily News'', officially titled the ''Daily News'', is an American newspaper based in Jersey City, NJ. It was founded in 1919 by Joseph Medill Patterson as the ''Illustrated Daily News''. It was the first U.S. daily printed in ta ...
sportswriter Dick Young, not Frick. The reality, however, was that MLB actually had no direct control over any record books until many years later, and it all was merely a suggestion on Frick's part. Within a few years the controversy died down and all prominent baseball record keepers listed Maris as the single-season record holder for as long as he held the record. Nevertheless, the stigma of holding a tainted record remained with Maris for many years, and the concept of a real or figurative asterisk denoting less-than-accepted "official" records has become widely used in sports and other competitive endeavors. A 2001 TV movie about Maris's record-breaking season was called '' 61*'' (pronounced ''sixty-one asterisk'') in reference to the controversy. Uproar over the integrity of baseball records and whether or not qualifications should be added to them arose again in the late 1990s, when a steroid-fueled power explosion led to the shattering of Maris' record. Even though it was obvious - and later admitted - by Mark McGwire that he was heavily on steroids when he hit 70 home runs in 1998, ruling authorities did nothing - to the annoyance of many fans and sportswriters. Three years later self-confessed steroid-user
Barry Bonds Barry Lamar Bonds (born July 24, 1964) is an American former professional baseball left fielder who played 22 seasons in Major League Baseball (MLB). Bonds was a member of the Pittsburgh Pirates from 1986 to 1992 and the San Francisco Giants f ...
pushed that record out to 73, and fans once again began to call for an asterisk in the sport's record books. Fans were especially critical and clamored louder for baseball to act during the 2007 season, as Bonds approached and later broke Hank Aaron's career home run record of 755. The
Houston Astros The Houston Astros are an American professional baseball team based in Houston, Texas. The Astros compete in Major League Baseball (MLB) as a member club of the American League (AL) West division, having moved to the division in 2013 after ...
' 2017 World Series win was marred after an investigation by MLB revealed the team's involvement in a sign-stealing scheme during that season. Fans, appalled by what they perceived to be overly lenient discipline against the Astros players, nicknamed the team the "Houston Asterisks". In recent years, the asterisk has come into use on baseball scorecards to denote a "great defensive play."


Usage in anti-doping campaigns

*By the end of the first decade of the 21st century, the association of baseball and its records with doping had become so notorious that the term "asterisk" had become firmly associated with
doping in sport In competitive sports, doping is the use of banned athletic performance-enhancing drugs by athletic competitors as a way of cheating in sports. The term ''doping'' is widely used by organizations that regulate sporting competitions. The use of ...
. In February 2011 the United States Olympic Committee and the Ad Council launched an anti-steroid campaign called "Play Asterisk Free" aimed at teens. The campaign, whose logo uses a
heavy asterisk The asterisk ( ), from Late Latin , from Ancient Greek , ''asteriskos'', "little star", is a typographical symbol. It is so called because it resembles a conventional image of a heraldic star. Computer scientists and mathematicians often voc ...
(✱), first launched in 2008 under the name Don't Be An Asterisk.


Cricket

* In
cricket Cricket is a bat-and-ball game played between two teams of eleven players on a field at the centre of which is a pitch with a wicket at each end, each comprising two bails balanced on three stumps. The batting side scores runs by striki ...
, it signifies a total number of runs scored by a batsman without losing his wicket; e.g. "107*" means "107 not out". * Where only the scores of the two batsmen that are currently in are being shown, an asterisk following a batsman's score indicates that he is due to face the next ball to be delivered. * When written before a player's name on a scorecard, it indicates the
captain Captain is a title, an appellative for the commanding officer of a military unit; the supreme leader of a navy ship, merchant ship, aeroplane, spacecraft, or other vessel; or the commander of a port, fire or police department, election precinct, e ...
of the team. * It is also used on television when giving a career statistic during a match. For example, "47*" in a number of matches column means that the current game is the player's 47th.


Other sports

During the first decades of the 21st century, the term ''asterisk'' to denote a tainted accomplishment caught on in other sports first in North America and then, due in part to North American sports' widespread media exposure, around the world.


Computing


Computer science

* In computer science, the asterisk is used in regular expressions to denote zero or more repetitions of a pattern; this use is also known as the '' Kleene star'' or ''Kleene closure'' after Stephen Kleene. In the Unified Modeling Language, the asterisk is used to denote zero to many classes.


Computer interfaces

* In some
command line interface A command-line interpreter or command-line processor uses a command-line interface (CLI) to receive commands from a user in the form of lines of text. This provides a means of setting parameters for the environment, invoking executables and pro ...
s, such as the Unix shell and Microsoft's CMD, the asterisk is the '' wildcard character'' and stands for any
string String or strings may refer to: *String (structure), a long flexible structure made from threads twisted together, which is used to tie, bind, or hang other objects Arts, entertainment, and media Films * ''Strings'' (1991 film), a Canadian anim ...
of characters. This is also known as a wildcard symbol. A common use of the wildcard is in searching for files on a computer. For instance, if a user wished to find a document called Document 1, search terms such as Doc* and D*ment* would return this file. Due to being a wildcard, they could also return files like Document 2 and (only the latter) Dark Knight Monument.jpg. Document* would in fact return any file that begins with Document, and D*ment* any file that began with D and had 'ment' somewhere in its name. * In some graphical user interfaces an asterisk is pre- or appended to the current working document name shown in a window's title bar to indicate that unsaved changes exist. * In many computing and Internet applications an asterisk, or another character, is displayed to indicate that a character of a password or other confidential information has been entered, without the risk of displaying the actual character. * In Commodore (and related) files systems, an asterisk appearing next to a filename in a directory listing denotes an improperly closed file, commonly called a "splat file". * In travel industry Global Distribution Systems, the asterisk is the display command to retrieve all or part of a Passenger Name Record. * In HTML web forms, a (usually red) asterisk can be used to denote required fields. * In Markdown, surrounding a set of characters or words in one asterisk italicizes, two asterisks bolds, and three asterisks both italicizes and bolds. See the table below for examples of all three uses of the asterisk in Markdown, including how it translates to HTML and how it renders. * Chat room etiquette calls on one asterisk to correct a misspelled word that has already been submitted. For example, one could post lck, then follow it with *luck or luck* (the placement of the * on the left or right is a matter of personal style) to correct the word's spelling, or if it's someone else that notices the mistake, they might also use *luck or luck*. ** Enclosing a phrase between two asterisks is used to denote an action the user is "performing", e.g. *pulls out a paper*, although this usage is also common on forums, and less so on most chat rooms due to /me or similar commands. Hyphens (-action-) and double colons (::action::) as well as the operator /me are also used for similar purposes.


=Adding machines and printing calculators

= * Some models of adding machines and printing calculators use the asterisk to denote the ''total'', or the terminal sum or difference of an addition or subtraction sequence, respectively. The symbol is sometimes given on the printout to indicate this total.


Programming languages

Many programming languages and
calculator An electronic calculator is typically a portable electronic device used to perform calculations, ranging from basic arithmetic to complex mathematics. The first solid-state electronic calculator was created in the early 1960s. Pocket-sized ...
s use the asterisk as a symbol for
multiplication Multiplication (often denoted by the cross symbol , by the mid-line dot operator , by juxtaposition, or, on computers, by an asterisk ) is one of the four elementary mathematical operations of arithmetic, with the other ones being additi ...
. It also has a number of special meanings in specific languages, for instance: * In some programming languages such as the C, C++, and Go programming languages, the asterisk is used to dereference or declare a pointer variable. * In the
Common Lisp Common Lisp (CL) is a dialect of the Lisp programming language, published in ANSI standard document ''ANSI INCITS 226-1994 (S20018)'' (formerly ''X3.226-1994 (R1999)''). The Common Lisp HyperSpec, a hyperlinked HTML version, has been derived fro ...
programming language, the names of global variables are conventionally set off with asterisks, *LIKE-THIS*. * In the Ada, Fortran, Perl, Python, Ruby programming languages, in some dialects of the Pascal programming language, and many others, a double asterisk is used to signify exponentiation: 5**3 is 53 = 125. * In the
Perl programming language Perl is a family of two high-level, general-purpose, interpreted, dynamic programming languages. "Perl" refers to Perl 5, but from 2000 to 2019 it also referred to its redesigned "sister language", Perl 6, before the latter's name was offici ...
, the asterisk is used to refer to the ''
typeglob The structure of the Perl programming language encompasses both the syntactical rules of the language and the general ways in which programs are organized. Perl's design philosophy is expressed in the commonly cited motto "there's more than one way ...
'' of all variables with a given name. * In the programming languages Ruby and Python, * has two specific uses. First, the unary * operator applied to a list object inside a function call will expand that list into the arguments of the function call. Second, a parameter preceded by * in the parameter list for a function will result in any extra positional parameters being aggregated into a tuple (Python) or array (Ruby), and likewise a parameter preceded by ** will result in any extra keyword parameters being aggregated into a
dictionary A dictionary is a listing of lexemes from the lexicon of one or more specific languages, often arranged alphabetically (or by radical and stroke for ideographic languages), which may include information on definitions, usage, etymologies ...
(Python) or
hash Hash, hashes, hash mark, or hashing may refer to: Substances * Hash (food), a coarse mixture of ingredients * Hash, a nickname for hashish, a cannabis product Hash mark *Hash mark (sports), a marking on hockey rinks and gridiron football field ...
(Ruby). * In the APL language, the asterisk represents the exponential and exponentiation functions, with *X representing eX, and Y*X representing YX. * In IBM Job Control Language, the asterisk has various functions, including in-stream data in the DD statement, the default print stream as SYSOUT=*, and as a self-reference in place of a procedure step name to refer to the same procedure step where it appears. * In Haskell, the asterisk represents the set of well-formed, fully applied types; that is, a 0-ary ''kind'' of types. * In many markup languages, putting text between two asterisks makes the text bold or italic. For example, *Hello world!* will often turn into "Hello world!" or "''Hello world!''".


=Comments in programming languages

= In the B programming language and languages that borrow syntax from it, such as C, PHP, Java, or C#, comments in the source code (for information to people, ignored by the compiler) are marked by an asterisk combined with the slash: /* This section displays message if user input was not valid (comment ignored by compiler) */ Some
Pascal Pascal, Pascal's or PASCAL may refer to: People and fictional characters * Pascal (given name), including a list of people with the name * Pascal (surname), including a list of people and fictional characters with the name ** Blaise Pascal, Fren ...
-like programming languages, for example, Object Pascal,
Modula-2 Modula-2 is a structured, procedural programming language developed between 1977 and 1985/8 by Niklaus Wirth at ETH Zurich. It was created as the language for the operating system and application software of the Lilith personal workstation. It w ...
, Modula-3, and Oberon, as well as several other languages including ML, Wolfram Language (
Mathematica Wolfram Mathematica is a software system with built-in libraries for several areas of technical computing that allow machine learning, statistics, symbolic computation, data manipulation, network analysis, time series analysis, NLP, optimizat ...
), AppleScript,
OCaml OCaml ( , formerly Objective Caml) is a general-purpose programming language, general-purpose, multi-paradigm programming language which extends the Caml dialect of ML (programming language), ML with object-oriented programming, object-oriented ...
,
Standard ML Standard ML (SML) is a general-purpose, modular, functional programming language with compile-time type checking and type inference. It is popular among compiler writers and programming language researchers, as well as in the development of the ...
, and Maple, use an asterisk combined with a parenthesis: (* Do not change this variable - it is used later (comment ignored by compiler) *)
CSS Cascading Style Sheets (CSS) is a style sheet language used for describing the presentation of a document written in a markup language such as HTML or XML (including XML dialects such as SVG, MathML or XHTML). CSS is a cornerstone techno ...
also uses the slash-star comment format. body Each computing language has its own way of handling comments; and similar notations are not universal.


History of information technology

The asterisk was a supported symbol on the IBM 026 Keypunch (introduced in 1949 and used to create punch cards with data for early computer systems). It was also included in the FIELDATA character encoding and the ASCII standard.


Economics

* In economics, the use of an asterisk superscript indicates that the variable such as price, output, or
employment Employment is a relationship between two parties regulating the provision of paid labour services. Usually based on a contract, one party, the employer, which might be a corporation, a not-for-profit organization, a co-operative, or any othe ...
is at its optimal level (that which is achieved in a perfect market situation). For instance, p^* is the price level p when output y is at its corresponding optimal level of y^*. * Also in international economics asterisks are commonly used to denote economic variables in a foreign country. So, for example, p is the price of the home good and p^* is the price of the foreign good, etc.


Education

* In the
A-Level The A-Level (Advanced Level) is a subject-based qualification conferred as part of the General Certificate of Education, as well as a school leaving qualification offered by the educational bodies in the United Kingdom and the educational aut ...
examinations in the United Kingdom and the PSLE in Singapore, A* ("''A''-star") is a special top grade that is distinguished from grade A. * In the Hong Kong Diploma of Secondary Education (HKDSE) examination in Hong Kong, 5** (5-star-star) and 5* (5-star) are two special top grades that are distinguished from Level 5. Level 5** is the highest level a candidate can attain in HKDSE.


Fluid mechanics

In fluid mechanics an asterisk in superscript is sometimes used to mean a property at sonic speed.


Games

*Certain categories of character types in
role-playing game A role-playing game (sometimes spelled roleplaying game, RPG) is a game in which players assume the roles of player character, characters in a fictional Setting (narrative), setting. Players take responsibility for acting out these roles within ...
s are called splats, and the game supplements describing them are called splatbooks. This usage originated with the shorthand "*book" for this type of supplement to various World of Darkness games, such as ''Clanbook: Ventrue'' (for '' Vampire: The Masquerade'') or ''Tribebook: Black Furies'' (for '' Werewolf: The Apocalypse''), and this usage has spread to other games with similar character-type supplements. For example, '' Dungeons & Dragons'' Third Edition has had several lines of splatbooks: the "X & Y" series including ''Sword & Fist'' and ''Tome & Blood'' prior to the "3.5" revision, the "Complete X" series including ''Complete Warrior'' and ''Complete Divine'', and the "Races of X" series including ''Races of Stone'' and ''Races of the Wild''. *In many
MUD A MUD (; originally multi-user dungeon, with later variants multi-user dimension and multi-user domain) is a Multiplayer video game, multiplayer Time-keeping systems in games#Real-time, real-time virtual world, usually Text-based game, text-bas ...
s and MOOs, as well as "male", "female", and other more esoteric genders, there is a gender called "splat", which uses an asterisk to replace the letters that differ in standard English gender pronouns. For example, ''h*'' is used rather than ''him'' or ''her''. Also, asterisks are used to signify doing an action, for example, "*''action''*". * Game show producer Mark Goodson used a six-pointed asterisk as his trademark. It is featured prominently on many set pieces from '' The Price Is Right.'' * Scrabble players put an asterisk after a word to indicate that an illegal play was made.


Human genetics

*In human genetics, * is used to denote that someone is a member of a haplogroup and not any of its subclades (see * (haplogroup)).


Linguistics

In linguistics, an asterisk may be used for a range of purposes depending on what is being discussed. The symbol is used to indicate reconstructed words of proto-languages (for which there are no records). For modern languages, it may be placed before posited problematic word forms, phrases or sentences to flag that they are hypothetical, ungrammatical, unpronounceable, etc. Historical linguist August Schleicher is cited as first using the asterisk for linguistic purposes, specifically for unattested forms that are linguistic reconstructions. Using the asterisk for descriptive and not just historical purposes arose in the 20th century. By analogy with its use in historical linguistics, the asterisk was variously prepended to "hypothetical" or "unattested" elements in modern language. Its usage also expanded to include "non-existent" or "impossible" forms. Leonard Bloomfield (1933) uses the asterisk with forms such as ''*cran,'' impossible to occur in isolation: ''cran-'' only occurs within the compound ''cranberry''. Such usage for a "non-existent form" was also found in French, German and Italian works in the middle of the 20th century. Asterisk usage in linguistics later came to include not just impossible forms, but " ungrammatical sentences", those that are "ill formed for the native speaker". The expansion of asterisk usage to entire sentences is often credited to Noam Chomsky, but Chomsky in 1968 already describes this usage as "conventional". Linguist Fred Householder claims some credit, but Giorgio Graffi argues that using an asterisk for this purpose predates his works. The meaning of the asterisk usage in specific linguistic works may go unelucidated so can be unclear. Linguistics sometimes uses double asterisks (), another symbol such as the question mark, or both symbols (e.g. ) to indicate degrees of unacceptability.


Historical linguistics

In historical linguistics, the asterisk marks words or phrases that are not directly recorded in texts or other media, and that are therefore reconstructed on the basis of other linguistic material by the comparative method. In the following example, the Proto-Germanic word is a reconstructed form. * → → ''eleven'' A double asterisk () sometimes indicates an intermediary or proximate reconstructed form (e.g. a single asterisk for reconstructed thirteenth century Chinese and a double asterisk for reconstructions of older Ancient Chinese or a double asterisk for proto- Popolocan and a single asterisk for intermediary forms). In other cases, the double asterisk denotes a form that would be expected according to a rule, but is not actually found. That is, it indicates a reconstructed form that is not found or used, and in place of which ''another'' form is found in actual usage: * For the plural, * would be expected, but separate masculine plural and feminine plural are found as irregular forms.


Ungrammaticality

In most areas of linguistics, but especially in
syntax In linguistics, syntax () is the study of how words and morphemes combine to form larger units such as phrases and sentences. Central concerns of syntax include word order, grammatical relations, hierarchical sentence structure ( constituency) ...
, an asterisk in front of a word or phrase indicates that the word or phrase is not used because it is ungrammatical. *wake her up / *wake up her An asterisk before a parenthesis indicates that the lack of the word or phrase inside is ungrammatical, while an asterisk after the opening bracket of the parenthesis indicates that the existence of the word or phrase inside is ungrammatical—e.g., the following indicates "go the station" would be ungrammatical: *go *(to) the station Use of an asterisk to denote forms or sentences that are ungrammatical is often complemented by the use of the question mark () to indicate a word, phrase or sentence that is avoided, questionable or strange, but not necessarily outright ungrammatical. Other sources go further and use several symbols (e.g. the asterisk, question mark, and degree symbol ) to indicate gradations or a continuum of acceptability.


= Ambiguity

= Since a word marked with an asterisk could mean either "unattested" or "impossible", it is important in some contexts to distinguish these meanings. In general, authors retain asterisks for "unattested", and prefix , , , or for the latter meaning. An alternative is to append the asterisk (or another symbol, possibly to differentiate between even more cases) at the end.


Optimality theory

In optimality theory, asterisks are used as "violation marks" in tableau cells to denote a violation of a constraint by an output form.


Phonetic transcription

In phonetic transcription using the
International Phonetic Alphabet The International Phonetic Alphabet (IPA) is an alphabetic system of phonetic transcription, phonetic notation based primarily on the Latin script. It was devised by the International Phonetic Association in the late 19th century as a standa ...
and similar systems, an asterisk was historically used to denote that the word it preceded was a proper noun. See this example from W. Perrett's 1921 transcription of Gottfried Keller's : :, ! . :(') This convention is no longer usual.


Mathematics

The asterisk has many uses in
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
. The following list highlights some common uses and is not exhaustive. ;stand-alone: * An arbitrary point in some set. Seen, for example, when computing Riemann sums or when contracting a simply connected group to the singleton set \. ;as a unary operator, denoted in prefix notation: * The Hodge star operator on vector spaces *: A^k \rightarrow A^. ;as a unary operator, written as a
subscript A subscript or superscript is a character (such as a number or letter) that is set slightly below or above the normal line of type, respectively. It is usually smaller than the rest of the text. Subscripts appear at or below the baseline, whil ...
: * The pushforward (differential) of a smooth map f between two smooth manifolds, denoted f_*. * And more generally the application of any covariant functor, where no doubt exists over which functor is meant. ;as a unary operator, written as a
superscript A subscript or superscript is a character (such as a number or letter) that is set slightly below or above the normal line of type, respectively. It is usually smaller than the rest of the text. Subscripts appear at or below the baseline, whil ...
: * The complex conjugate of a complex number (the more common notation is \bar). * The conjugate in a composition algebra * The conjugate transpose, Hermitian transpose, or adjoint matrix of a
matrix Matrix most commonly refers to: * ''The Matrix'' (franchise), an American media franchise ** '' The Matrix'', a 1999 science-fiction action film ** "The Matrix", a fictional setting, a virtual reality environment, within ''The Matrix'' (franchi ...
. * Hermitian adjoint. * The multiplicative group of the units of a ring; when the ring is a field, this is the group of all nonzero elements. For example, \mathbb^* = \mathbb\setminus\. * The
dual space In mathematics, any vector space ''V'' has a corresponding dual vector space (or just dual space for short) consisting of all linear forms on ''V'', together with the vector space structure of pointwise addition and scalar multiplication by const ...
of a vector space V, denoted V^*. * The combination of an indexed collection of objects into one example, e.g. the combination of all the
cohomology groups In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated with a topological space, often defined from a cochain complex. Cohomology can be viewe ...
H^k(X) into the
cohomology ring In mathematics, specifically algebraic topology, the cohomology ring of a topological space ''X'' is a ring formed from the cohomology groups of ''X'' together with the cup product serving as the ring multiplication. Here 'cohomology' is usually und ...
H^*(X). * The reflexive transitive closure of a
binary relation In mathematics, a binary relation associates elements of one set, called the ''domain'', with elements of another set, called the ''codomain''. A binary relation over Set (mathematics), sets and is a new set of ordered pairs consisting of ele ...
. * In statistics, z^* and t^* are given critical points for z-distributions and t-distributions, respectively. ;as a binary operator, in
infix notation Infix notation is the notation commonly used in arithmetical and logical formulae and statements. It is characterized by the placement of operators between operands—" infixed operators"—such as the plus sign in . Usage Binary relations a ...
: * A notation for an arbitrary binary operator. * The free product of two groups. * f \ast g is a convolution of f with g. * A notation for the horizontal composition of two natural transformations. * A notation to denote a
parallel sum The parallel operator (also known as reduced sum, parallel sum or parallel addition) \, (pronounced "parallel", following the parallel lines notation from geometry) is a mathematical function which is used as a shorthand in electrical e ...
of two operands (most authors, however, instead use a : or \parallel sign for this purpose). The asterisk is used in all branches of mathematics to designate a correspondence between two quantities denoted by the same letter – one with the asterisk and one without.


Mathematical typography

In fine mathematical typography, the Unicode character (in HTML, ∗; not to be confused with ) is available. This character also appeared in the position of the regular asterisk in the
PostScript PostScript (PS) is a page description language in the electronic publishing and desktop publishing realm. It is a dynamically typed, concatenative programming language. It was created at Adobe Systems by John Warnock, Charles Geschke, Doug Br ...
symbol character set in the ''Symbol'' font included with Windows and Macintosh operating systems and with many printers. It should be used for a large asterisk that lines up with the other mathematical operators, sitting on the math centerline rather than on the text baseline.


Music

* In
musical notation Music notation or musical notation is any system used to visually represent aurally perceived music played with instruments or sung by the human voice through the use of written, printed, or otherwise-produced symbols, including notation fo ...
the sign () indicates when the sustain pedal of the piano should be lifted. * In liturgical music, an asterisk is often used to denote a deliberate pause.


Religious texts

*In the Geneva Bible and the King James Bible, an asterisk is used to indicate a marginal comment or scripture reference. *In the Leeser Bible, an asterisk is used to mark off the seven subdivisions of the weekly Torah portion. It is also used to mark the few verses to be repeated by the reader of the Haftara. *In American printings of the '' Book of Common Prayer'', an asterisk is used to divide a verse of a Psalm in two portions for responsive reading. British printings use a spaced colon (" : ") for the same purpose. *In pointed psalms, an asterisk is used to denote a break or breath.


Star of Life

A Star of Life, a six-bar asterisk overlaid with the Rod of Asclepius (the symbol of health), may be used as an alternative to cross or crescent symbols on ambulances.


Statistical results

In many scientific publications, the asterisk is employed as a shorthand to denote the
statistical significance In statistical hypothesis testing, a result has statistical significance when it is very unlikely to have occurred given the null hypothesis (simply by chance alone). More precisely, a study's defined significance level, denoted by \alpha, is the p ...
of results when testing
hypotheses A hypothesis (plural hypotheses) is a proposed explanation for a phenomenon. For a hypothesis to be a scientific hypothesis, the scientific method requires that one can test it. Scientists generally base scientific hypotheses on previous obser ...
. When the likelihood that a result occurred by chance alone is below a certain level, one or more asterisks are displayed. Popular significance levels are <0.05 (*), <0.01 (**), and <0.001 (***).


Telephony

On a tone dialling telephone keypad, the asterisk (called ''star'') is one of the two special keys (the other is the 'square key almost invariably replaced by the number sign (called 'pound sign' (US), 'hash' (other countries), or 'hex'), and is found to the left of the zero). They are used to navigate menus in systems such as voice mail, or in vertical service codes.


Typography

* The asterisk is used to call out a footnote, especially when there is only one on the page. Less commonly, multiple asterisks are used to denote different footnotes on a page (i.e., *, **, ***).Walter Thomas Rogers: ''A Manual of Bibliography: Being an Introduction to the Knowledge of Books, Library Management and the Art of Cataloguing, with a List of Bibliographical Works of Reference, a Latin-English and English-Latin Topographical Index of Ancient Printing Centres, and a Glossary.'' H. Grevel & Co., London 1891, p. 184
Google Books
).
Typically, an asterisk is positioned after a word or phrase and preceding its accompanying footnote. Other characters are also used for this purpose, such as dagger (†, ‡) or superscript letters and numbers (as in Wikipedia). In marketing and advertising, asterisks or other symbols are used to refer readers discreetly to terms or conditions for a certain statement, the " small print". * In English-language typography the asterisk is placed after all other punctuation marks (for example, commas, colons, or periods) except for the dash. * Three spaced asterisks centered on a page is called a dinkus and may represent a jump to a different scene, thought, or Section (typography), section. * A group of three asterisks arranged in a triangular formation is called an asterism (typography), asterism. It may be used instead of a name on a title page. * One or more asterisks may be used as censorship over all or part of a word. * Asterisks are sometimes used as an alternative to Bullet (typography), typographical bullets to indicate items of a list. * Asterisks can be used in textual media to represent *emphasis (typography), emphasis* when bold text, bold or italic text is not available (e.g., Twitter, text messaging). * Asterisks may denote conversational Conversation analysis#Repair, repair, or corrections to misspelling or misstatements in previous electronic messages, particularly when replacement or retraction of a previous writing is not possible, such as with "immediate delivery" messages or "instant messages" that can not be edited. Usually this takes the form of a message consisting solely of the corrected text, with an asterisk placed before (or after) the correction. For example, one might send a message reading "*morning" or "morning*" to correct the misspelling in the message "I had a good ". * Bounding asterisks as "a kind of self-describing stage direction", as linguist Ben Zimmer has put it. For example, in "''Another gas station robbery *sigh*''", the writer uses *sigh* to express disappointment (but does not necessarily literally sigh).


Encodings

The Unicode standard has a variety of asterisk-like characters, compared in the table below. (Characters will display differently in different browsers and fonts.) The reason there are so many is chiefly because of the controversial decision to include in Unicode the entire Zapf Dingbats symbol font. #


See also

* * * * * , for example to identify errors * List of typographical symbols and punctuation marks *Reference mark (), the symbol used in Chinese, Japanese and Korean typography for an equivalent purpose * Astrological aspect#Sextile, Sextile an asterisk-like astrological symbol (⚹), six lines radiating at 60⁰ intervals


Notes


References

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