A bracket is either of two tall fore- or back-facing punctuation marks commonly used to isolate a segment of text or data from its surroundings.[3] They come in four main pairs of shapes, as given in the box to the right, which also gives their names, that vary between British and American English.[1] "Brackets", without further qualification, are in British English the (...) marks and in American English the [...] marks.[1][3]
Other minor bracket shapes exist, such as (for example) slash or diagonal brackets used by linguists to enclose phonemes.[4]
Brackets are typically deployed in symmetric pairs, and an individual bracket may be identified as a 'left' or 'right' bracket or, alternatively, an "opening bracket" or "closing bracket",[5] respectively, depending on the directionality of the context.
In casual writing and in technical fields such as computing or linguistic analysis of grammar, brackets nest, with segments of bracketed material containing embedded within them other further bracketed sub-segments.[3] The number of opening brackets matches the number of closing brackets in such cases.[3]
Most typewriters only had the left and right parentheses. Square brackets appeared with some teleprinters.
Braces (curly brackets) first became part of a character set with the 8-bit code of the IBM 7030 Stretch.[7]
In 1961, ASCII contained parentheses, square, and curly brackets, and also less-than and greater-than signs that could be used as angle brackets.
Typography
In English, typographers mostly prefer not to set brackets in italics, even when the enclosed text is italic.[8] However, in other languages like German, if brackets enclose text in italics, they are usually also set in italics.[9]
( and ) are parentheses/pəˈrɛnθɪsiːz/ (singular parenthesis/pəˈrɛnθɪsɪs/) in American English, and either round brackets or simply brackets in British English.[1][4] They are also known as "parens" /pəˈrɛnz/, "circle brackets", or "smooth brackets".
In formal writing, "parentheses" is also used in British English.[citation needed]
Uses of ( )
Parentheses contain adjunctive material that serves to clarify (in the manner of a gloss) or is aside from the main point.[21]
A comma before or after the material can also be used, though if the sentence contains commas for other purposes, visual confusion may result. A dash before and after the material is also sometimes used.
Parentheses may be used in formal writing to add supplementary information, such as "Senator John McCain (R-Arizona) spoke at length". They can also indicate shorthand for "either singular or plural" for nouns, e.g. "the claim(s)". It can also be used for gender-neutral language, especially in languages with grammatical gender, e.g. "(s)he agreed with his/her physician" (the slash in the second instance, as one alternative is replacing the other, not adding to it).
Parentheses have historically been used where the em dash is currently used in alternatives, such as "parenthesis)(parentheses". Examples of this usage can be seen in editions of Fowler's Dictionary of Modern English Usage.
Parentheses may be nested (generally with one set (such as this) inside another set). This is not commonly used in formal writing (though sometimes other brackets [especially square brackets] will be used for one or more inner set of parentheses [in other words, secondary {or even tertiary} phrases can be found within the main parenthetical sentence]).
Language
A parenthesis in rhetoric and linguistics refers to the entire bracketed text, not just to the enclosing marks used (so all the text in this set of round brackets may be described as "a parenthesis").[22] Taking as an example the sentence "Mrs. Pennyfarthing (What? Yes, that was her name!) was my landlady.", the explanatory phrase between the parentheses is itself called a parenthesis. Again, the parenthesis implies that the meaning and flow of the bracketed phrase is supplemental to the rest of the text and the whole would be unchanged were the parenthesized sentences removed. The term refers to the syntax rather than the enclosure method: the same clause in the form "Mrs. Pennyfarthing–What? Yes, that was her name!–was my landlady" is also a parenthesis.[23] (In non-specialist usage, the term "parenthetical phrase" is more widely understood.[24])
In phonetics, parentheses are used for indistinguishable[25] or unidentified utterances. They are also seen for silent articulation (mouthing),[26] where the expected phonetic transcription is derived from lip-reading, and with periods to indicate silent pauses, for example (...) or (2sec).
Enumerations
An unpaired right parenthesis is often used as part of a label in an ordered list, such as this one:
Traditionally in accounting, contra amounts are placed in parentheses. A debit balance account in a series of credit balances will have parenthesis and vice versa.
Parentheses are used in mathematical notation to indicate grouping, often inducing a different order of operations. For example: in the usual order of algebraic operations, 4 × 3 + 2 equals 14, since the multiplication is done before the addition. However, 4 × (3 + 2) equals 20, because the parentheses override normal precedence, causing the addition to be done first. Some authors follow the convention in mathematical equations that, when parentheses have one level of nesting, the inner pair are parentheses and the outer pair are square brackets. Example:
Parentheses in programming languages
Parentheses are included in the syntaxes of many programming languages. Typically needed to denote an argument; to tell the compiler what data type the Method/Function needs to look for first in order to initialise. In some cases, such as in LISP, parentheses are a fundamental construct of the language. They are also often used for scoping functions and operators and for arrays. In syntax diagrams they are used for grouping, such as in extended Backus–Naur form.
In Mathematica and the Wolfram language, parentheses are used to indicate grouping–for example, with pure anonymous functions.
Taxonomy
If it is desired to include the subgenus when giving the scientific name of an animal species or subspecies, the subgenus's name is provided in parentheses between the genus name and the specific epithet.[27] For instance, Polyphylla (Xerasiobia) alba is a way to cite the species Polyphylla alba while also mentioning that it is in the subgenus Xerasiobia.[28] There is also a convention of citing a subgenus by enclosing it in parentheses after its genus, e.g., Polyphylla (Xerasiobia) is a way to refer to the subgenus Xerasiobia within the genus Polyphylla.[29] Parentheses are similarly used to cite a subgenus with the name of a prokaryotic species, although the International Code of Nomenclature of Prokaryotes (ICNP) requires the use of the abbreviation "subgen". as well, e.g., Acetobacter (subgen. Gluconoacetobacter) liquefaciens.[30]
Chemistry
Parentheses are used in chemistry to denote a repeated substructure within a molecule, e.g. HC(CH3)3 (isobutane) or, similarly, to indicate the stoichiometry of ionic compounds with such substructures: e.g. Ca(NO3)2 (calcium nitrate).
This is a notation that was pioneered by Berzelius, who wanted chemical formulae to more resemble algebraic notation, with brackets enclosing groups that could be multiplied (e.g. in 3(AlO2 + 2SO3) the 3 multiplies everything within the parentheses).[31][32]
[ and ] are square brackets in both British and American English, but are also more simply brackets in the latter.[1][3] An older name for these brackets is "crotchets".[35]
Uses of [ ]
Square brackets are often used to insert explanatory material or to mark where a [word or] passage was omitted from an original material by someone other than the original author, or to mark modifications in quotations.[36] In transcribed interviews, sounds, responses and reactions that are not words but that can be described are set off in square brackets — "... [laughs] ...".
When quoted material is in any way altered, the alterations are enclosed in square brackets within the quotation to show that the quotation is not exactly as given, or to add an annotation.[37] For example: The Plaintiff asserted his cause is just, stating,
In the original quoted sentence, the word "my" was capitalized: it has been modified in the quotation given and the change signalled with brackets. Similarly, where the quotation contained a grammatical error (is/are), the quoting author signalled that the error was in the original with "[sic]" (Latin for 'thus').
A bracketed ellipsis, [...], is often used to indicate omitted material: "I'd like to thank [several unimportant people] for their tolerance [...]"[38] Bracketed comments inserted into a quote indicate where the original has been modified for clarity: "I appreciate it [the honor], but I must refuse", and "the future of psionics [see definition] is in doubt". Or one can quote the original statement "I hate to do laundry" with a (sometimes grammatical) modification inserted: He "hate[s] to do laundry".
Additionally, a small letter can be replaced by a capital one, when the beginning of the original printed text is being quoted in another piece of text or when the original text has been omitted for succinctness— for example, when referring to a verbose original: "To the extent that policymakers and elite opinion in general have made use of economic analysis at all, they have, as the saying goes, done so the way a drunkard uses a lamppost: for support, not illumination", can be quoted succinctly as: "[P]olicymakers [...] have made use of economic analysis [...] the way a drunkard uses a lamppost: for support, not illumination." When nested parentheses are needed, brackets are sometimes used as a substitute for the inner pair of parentheses within the outer pair.[39] When deeper levels of nesting are needed, convention is to alternate between parentheses and brackets at each level.
Alternatively, empty square brackets can also indicate omitted material, usually single letter only. The original, "Reading is also a process and it also changes you." can be rewritten in a quote as: It has been suggested that reading can "also change[] you".[40]
In translated works, brackets are used to signify the same word or phrase in the original language to avoid ambiguity.[41] For example: He is trained in the way of the open hand [karate].
In linguistics, phonetic transcriptions are generally enclosed within square brackets,[43] whereas phonemic transcriptions typically use paired slashes, according to International Phonetic Alphabet rules. Pipes (||) are often used to indicate a morphophonemic rather than phonemic representation. Other conventions are double slashes (⫽⫽), double pipes (‖‖) and curly brackets ({}).
In lexicography, square brackets usually surround the section of a dictionary entry which contains the etymology of the word the entry defines.
Proofreading
Brackets (called move-left symbols or move right symbols) are added to the sides of text in proofreading to indicate changes in indentation:
Move left
[To Fate I sue, of other means bereft, the only refuge for the wretched left.
Center
]Paradise Lost[
Move up
Square brackets are used to denote parts of the text that need to be checked when preparing drafts prior to finalizing a document.
Law
Square brackets are used in some countries in the citation of law reports to identify parallel citations to non-official reporters. For example:
Chronicle Pub. Co. v Superior Court (1998) 54 Cal.2d 548, [7 Cal.Rptr. 109]
In some other countries (such as England and Wales), square brackets are used to indicate that the year is part of the citation and parentheses are used to indicate the year the judgment was given. For example:
National Coal Board v England [1954] AC 403
This case is in the 1954 volume of the Appeal Cases reports, although the decision may have been given in 1953 or earlier. Compare with:
(1954) 98 Sol Jo 176
This citation reports a decision from 1954, in volume 98 of the Solicitors Journal which may be published in 1955 or later.
They often denote points that have not yet been agreed to in legal drafts and the year in which a report was made for certain case law decisions.
Square brackets may be used exclusively or in combination with parentheses to represent intervals as interval notation.[44] For example, [0,5] represents the set of real numbers from 0 to 5 inclusive. Both parentheses and brackets are used to denote a half-open interval; [5, 12) would be the set of all real numbers between 5 and 12, including 5 but not 12. The numbers may come as close as they like to 12, including 11.999 and so forth, but 12.0 is not included. In some European countries, the notation [5, 12[ is also used.[45][46] The endpoint adjoining the square bracket is known as closed, whereas the endpoint adjoining the parenthesis is known as open.[44]
In group theory and ring theory, brackets denote the commutator. In group theory, the commutator [g, h] is commonly defined as g −1h −1gh. In ring theory, the commutator [a, b] is defined as ab − ba.
Chemistry
Square brackets can also be used in chemistry to represent the concentration of a chemical substance in solution and to denote charge a Lewis structure of an ion (particularly distributed charge in a complex ion), repeating chemical units (particularly in polymers) and transition state structures, among other uses.
Square brackets in programming languages
Brackets are used in many computer programming languages, primarily for array indexing. But they are also used to denote general tuples, sets and other structures, just as in mathematics. There may be several other uses as well, depending on the language at hand. In syntax diagrams they are used for optional portions, such as in extended Backus–Naur form.
Double brackets ⟦ ⟧
Double brackets (or white square brackets or Scott brackets), ⟦⟧, are used to indicate the semantic evaluation function in formal semantics for natural language and denotational semantics for programming languages.[47][48] In the Wolfram Language, double brackets, either as iterated single brackets ([[) or ligatures (〚) are used for list indexing.[49]
The brackets stand for a function that maps a linguistic expression to its "denotation" or semantic value. In mathematics, double brackets may also be used to denote intervals of integers or, less often, the floor function. In papyrology, following the Leiden Conventions, they are used to enclose text that has been deleted in antiquity.[50]
Some East Asian languages use lenticular brackets 【】, a combination of square brackets and round brackets called 方頭括號 (fāngtóu kuòhào) in Chinese and 隅付き括弧 (sumitsuki kakko) in Japanese. They are used in titles and headings in both Chinese[51] and Japanese. On the Internet, they are used to emphasize a text. In Japanese, they are most frequently seen in dictionaries for quoting Chinese characters and Sino-Japanese loanwords.
Half brackets are used in English to mark added text, such as in translations: "Bill saw ⸤her⸥".
In editions of papyrological texts, half brackets, ⸤ and ⸥ or ⸢ and ⸣, enclose text which is lacking in the papyrus due to damage, but can be restored by virtue of another source, such as an ancient quotation of the text transmitted by the papyrus.[52] For example, CallimachusIambus 1.2 reads: ἐκ τῶν ὅκου βοῦν κολλύ⸤βου π⸥ιπρήσκουσιν. A hole in the papyrus has obliterated βου π, but these letters are supplied by an ancient commentary on the poem. Second intermittent sources can be between ⸢ and ⸣. Quine corners are sometimes used instead of half brackets.[15]
Brackets with quills ⁅ ⁆
Known as "spike parentheses" (Swedish: piggparenteser), ⁅ and ⁆ are used in Swedish bilingual dictionaries to enclose supplemental constructions.[53]
{ and } are curly brackets or braces in both American and British English.[1][3]
Uses of { }
An example of curly brackets used to group sentences together
Curly brackets are used by text editors to mark editorial insertions[54] or interpolations.[55]
Braces used to be used to connect multiple lines of poetry, such as triplets in a poem of rhyming couplets,[56] although this usage had gone out of fashion by the 19th century.[57][58]
Another older use in prose was to eliminate duplication in lists and tables.[58] Two examples here from Charles Hutton's 19th century table table of weights and measures in his A Course of Mathematics:
In music, they are known as "accolades" or "braces", and connect two or more lines (staves) of music that are played simultaneously.[61]
Chemistry
The use of braces in chemistry is an old notation that has long since been superseded by subscripted numbers.[31] The chemical formula for water, H2O, was represented as .[31]
In many programming languages, curly brackets enclose groups of statements and create a local scope. Such languages (C, C#, C++ and many others) are therefore called curly bracket languages.[62] They are also used to define structures and enumerated type in these languages.
In various Unix shells, they enclose a group of strings that are used in a process known as brace expansion, where each successive string in the group is interpolated at that point in the command line to generate the command-line's final form.[63] The mechanism originated in the C shell and the string generation mechanism is a simple interpolation that can occur anywhere in a command line and takes no account of existing filenames.[64]
In mathematics they delimit sets, in what is called set notation.[65] Braces enclose either a literal list of set elements, or a rule that defines the set elements.[65] For example:
S = {a, b} defines a set S containing a and b.[65]
S = {x | x> 0} defines a set S containing elements (implied to be numbers) x0, x1, and so on where every xn satisfies the rule that it is greater than zero.[65]
They are often also used to denote the Poisson bracket between two quantities.
U+276E❮HEAVY LEFT-POINTING ANGLE QUOTATION MARK ORNAMENT
U+276F❯HEAVY RIGHT-POINTING ANGLE QUOTATION MARK ORNAMENT
⟨ and ⟩ are angle brackets in both American and British English.[1][3] In computer slang, they are known as "brokets".[66]
Strictly speaking they are distinct from V-shaped chevrons, as they have (where the typography permits it) a broader span than chevrons,[67] although when printed often no visual distinction is made.[4]
The ASCII less-than and greater-than characters <> are often used for angle brackets. In most cases only those characters are accepted by computer programs, and the Unicode angle brackets are not recognized (for instance, in HTML tags). The characters for "single" guillemets‹› are also often used, and sometimes normal guillemets «» when nested angle brackets are needed.
The angle brackets or chevrons at U+27E8 and U+27E9 are for mathematical use and Western languages, whereas U+3008 and U+3009 are for East Asian languages. The chevrons at U+2329 and U+232A are deprecated in favour of the U+3008 and U+3009 East Asian angle brackets. Unicode discourages their use for mathematics and in Western texts,[15] because they are canonically equivalent to the CJK code points U+300x and thus likely to render as double-width symbols. The less-than and greater-than symbols are often used as replacements for chevrons.
1 2 3 4 ⟨ and ⟩ were tied to the deprecated symbols U+2329 and U+232A in HTML4 and MathML2, but are being migrated to U+27E8 and U+27E9 for HTML5 and MathML3, as defined in XML Entity Definitions for Characters (Archived 27 January 2013 at the Wayback Machine ).
Angle brackets are infrequently used to denote words that are thought instead of spoken, such as:
⟨What an unusual flower!⟩
In textual criticism, and hence in many editions of pre-modern works, chevrons denote sections of the text which are illegible or otherwise lost; the editor will often insert their own reconstruction where possible within them.[68]
In comic books, chevrons are often used to mark dialogue that has been translated notionally from another language; in other words, if a character is speaking another language, instead of writing in the other language and providing a translation, one writes the translated text within chevrons. Since no foreign language is actually written, this is only notionally translated.[citation needed]
In epigraphy, they may be used for mechanical transliterations of a text into the Latin script.[70]
In East Asian punctuation, angle brackets are used as quotation marks. Chevron-like symbols are part of standard Chinese, Japanese and– less frequently–Korean punctuation, where they generally enclose the titles of books, as: 〈 ... 〉 or 《 ... 》 for traditional vertical printing — written in vertical lines — and as 〈 ... 〉 or 《 ... 》 for horizontal printing — in horizontal.
In physical sciences and statistical mechanics, angle brackets are used to denote an average (expected value) over time or over another continuous parameter. For example:
In mathematical physics, especially quantum mechanics, it is common to write the inner product between elements as ⟨a|b⟩, as a short version of ⟨a|·|b⟩, or ⟨a|Ô|b⟩, where Ô is an operator. This is known as Dirac notation or bra–ket notation, to note vectors from the dual spaces of the Bra⟨A| and the Ket|B⟩. But there are other notations used.
In C++ chevrons (actually less-than and greater-than) are used to surround arguments to templates. They are also used to surround the names of header files; this usage was inherited from and is also found in C.
In HTML, chevrons (actually 'greater than' and 'less than' symbols) are used to bracket meta text. For example <b> denotes that the following text should be displayed as bold. Pairs of meta text tags are required – much as brackets themselves are usually in pairs. The end of the bold text segment would be indicated by </b>. This use is sometimes extended as an informal mechanism for communicating mood or tone in digital formats such as messaging, for example adding "<sighs>" at the end of a sentence.
Representations of various kinds of brackets in Unicode and their respective HTML entities, that are not in the infoboxes in preceding sections, are given below.
Unicode and HTML encodings for various bracket characters
U+FE17︗PRESENTATION FORM FOR VERTICAL LEFT WHITE LENTICULAR BRACKET
︗...︘
U+FE18︘PRESENTATION FORM FOR VERTICAL RIGHT WHITE LENTICULAR BRACKET[lower-alpha 3]
U+FE35︵PRESENTATION FORM FOR VERTICAL LEFT PARENTHESIS
︵...︶
U+FE36︶PRESENTATION FORM FOR VERTICAL RIGHT PARENTHESIS
U+FE37︷PRESENTATION FORM FOR VERTICAL LEFT CURLY BRACKET
︷...︸
U+FE38︸PRESENTATION FORM FOR VERTICAL RIGHT CURLY BRACKET
U+FE39︹PRESENTATION FORM FOR VERTICAL LEFT TORTOISE SHELL BRACKET
︹...︺
U+FE3A︺PRESENTATION FORM FOR VERTICAL RIGHT TORTOISE SHELL BRACKET
U+FE3B︻PRESENTATION FORM FOR VERTICAL LEFT BLACK LENTICULAR BRACKET
︻...︼
U+FE3C︼PRESENTATION FORM FOR VERTICAL RIGHT BLACK LENTICULAR BRACKET
U+FE3D︽PRESENTATION FORM FOR VERTICAL LEFT DOUBLE ANGLE BRACKET
︽...︾
U+FE3E︾PRESENTATION FORM FOR VERTICAL RIGHT DOUBLE ANGLE BRACKET
U+FE3F︿PRESENTATION FORM FOR VERTICAL LEFT ANGLE BRACKET
︿...﹀
U+FE40﹀PRESENTATION FORM FOR VERTICAL RIGHT ANGLE BRACKET
U+FE41﹁PRESENTATION FORM FOR VERTICAL LEFT CORNER BRACKET
﹁...﹂
U+FE42﹂PRESENTATION FORM FOR VERTICAL RIGHT CORNER BRACKET
U+FE43﹃PRESENTATION FORM FOR VERTICAL LEFT WHITE CORNER BRACKET
﹃...﹄
U+FE44﹄PRESENTATION FORM FOR VERTICAL RIGHT WHITE CORNER BRACKET
U+FE47﹇PRESENTATION FORM FOR VERTICAL LEFT SQUARE BRACKET
﹇...﹈
U+FE48﹈PRESENTATION FORM FOR VERTICAL RIGHT SQUARE BRACKET
↑ This is fullwidth version of U+2033″DOUBLE PRIME. In vertical texts, U+301F〟LOW DOUBLE PRIME QUOTATION MARK is preferred.
↑ These characters are not used in typical documents. Instead the respective horizontal characters are used and the character that is rendered depends on the writing direction.
↑ The original name of this character is "Presentation Form For Vertical Right White Lenticular Brakcet[sic]". Since Unicode character names cannot be changed, this character has the corrected name as an alias.
The ellipsis, rendered ..., alternatively described as suspension points/dots, points/periods of ellipsis, or ellipsis points, or colloquially, dot-dot-dot, is a punctuation mark consisting of a series of three dots. An ellipsis can be used in many ways, such as for intentional omission of text or numbers, to imply a concept without using words. Style guides differ on how to render an ellipsis in printed material.
The colon, :, is a punctuation mark consisting of two equally sized dots aligned vertically. A colon often precedes an explanation, a list, or a quoted sentence. It is also used between hours and minutes in time, between certain elements in medical journal citations, between chapter and verse in Bible citations, and, in the US, for salutations in business letters and other formal letters.
In computer science, extended Backus–Naur form (EBNF) is a family of metasyntax notations, any of which can be used to express a context-free grammar. EBNF is used to make a formal description of a formal language such as a computer programming language. They are extensions of the basic Backus–Naur form (BNF) metasyntax notation.
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for expressing all mathematics.
An interpunct·, also known as an interpoint, middle dot, middot, centered dot or centred dot, is a punctuation mark consisting of a vertically centered dot used for interword separation in Classical Latin. It appears in a variety of uses in some modern languages.
Guillemets are a pair of punctuation marks in the form of sideways double chevrons, « and », used as quotation marks in a number of languages. In some of these languages, "single" guillemets, ‹ and ›, are used for a quotation inside another quotation. Guillemets are not conventionally used in English.
A whitespace character is a character data element that represents white space when text is rendered for display by a computer.
A bracket is a tall punctuation mark typically used in matched pairs within text.
Irony punctuation is any form of notation proposed or used to denote irony or sarcasm in written text. Written text, in English and other languages, lacks a standard way to mark irony, and several forms of punctuation have been proposed to fill the gap. The oldest is the percontation point in the form of a reversed question mark, proposed by English printer Henry Denham in the 1580s for marking rhetorical questions, which can be a form of irony. Specific irony marks have also been proposed, such as in the form of an open upward arrow, used by Marcellin Jobard in the 19th century, and in a form resembling a reversed question mark, proposed by French poet Alcanter de Brahm during the 19th century.
Symbol is one of the four standard fonts available on all PostScript-based printers, starting with Apple's original LaserWriter (1985). It contains a complete unaccented Greek alphabet and a selection of commonly used mathematical symbols. Insofar as it fits into any standard classification, it is a serif font designed in the style of Times New Roman.
In computing, a Unicode symbol is a Unicode character which is not part of a script used to write a natural language, but is nonetheless available for use as part of a text.
The Unicode Standard encodes almost all standard characters used in mathematics. Unicode Technical Report #25 provides comprehensive information about the character repertoire, their properties, and guidelines for implementation. Mathematical operators and symbols are in multiple Unicode blocks. Some of these blocks are dedicated to, or primarily contain, mathematical characters while others are a mix of mathematical and non-mathematical characters. This article covers all Unicode characters with a derived property of "Math".
A Hebrew keyboard comes in two different keyboard layouts. Most Hebrew keyboards are bilingual, with Latin characters, usually in a US Qwerty layout. Trilingual keyboard options also exist, with the third script being Arabic or Russian, due to the sizable Arabic- and Russian-speaking populations in Israel.
Quotation marks are punctuation marks used in pairs in various writing systems to identify direct speech, a quotation, or a phrase. The pair consists of an opening quotation mark and a closing quotation mark, which may or may not be the same glyph. Quotation marks have a variety of forms in different languages and in different media.
This comparison of programming languages compares the features of language syntax (format) for over 50 computer programming languages.
In mathematics, brackets of various typographical forms, such as parentheses ( ), square brackets [ ], braces { } and angle brackets ⟨ ⟩, are frequently used in mathematical notation. Generally, such bracketing denotes some form of grouping: in evaluating an expression containing a bracketed sub-expression, the operators in the sub-expression take precedence over those surrounding it. Sometimes, for the clarity of reading, different kinds of brackets are used to express the same meaning of precedence in a single expression with deep nesting of sub-expressions.
Writing systems that use Chinese characters also include various punctuation marks, derived from both Chinese and Western sources. Historically, jùdòu annotations were often used to indicate the boundaries of sentences and clauses in text. The use of punctuation in written Chinese only became mandatory during the 20th century, due to Western influence. Unlike modern punctuation, judou marks were added by scholars for pedagogical purposes and were not viewed as integral to the text. Texts were therefore generally transmitted without judou. In most cases, this practice did not interfere with the interpretation of a text, although it occasionally resulted in ambiguity.
The Unicode Standard assigns various properties to each Unicode character and code point.
CJK Symbols and Punctuation is a Unicode block containing symbols and punctuation used for writing the Chinese, Japanese and Korean languages. It also contains one Chinese character.
↑ "Unicode Bidirectional Algorithm". Unicode Technical Reports. Unicode Consortium. § 3.1.3 Paired Brackets. Archived from the original on 3 October 2018. Retrieved 24 April 2018.
1 2 3 4 "Dingbats Code Chart"(PDF). The Unicode Standard. Unicode Consortium. Archived(PDF) from the original on 17 April 2018. Retrieved 7 February 2016.
↑ "Names of subgenera". International Code of Zoological Nomenclature (4thed.). International Commission on Zoological Nomenclature. 2012. Archived from the original on 7 June 2021. Retrieved 6 June 2021.
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↑ Dowty, D., Wall, R. and Peters, S.: 1981, Introduction to Montague semantics, Springer.
↑ Scott, D.; Strachey, C. (1971). Toward a Mathematical Semantics for Computer Languages. Oxford University Computing Laboratory, Programming Research Group.
↑ "Part, Wolfram Language function". Reference.Wolfram.com. Wolfram Research. 2014 [1988]. Archived from the original on 31 March 2023. In StandardForm and InputForm, expr[[spec]] can be input as expr〚spec〛.
↑ Raymond, Eric S. "broket". The Jargon File (ver. 4.4.7ed.). Archived from the original on 10 February 2013. Retrieved 13 February 2013– via CatB.org.
↑ Hefferon, Jim. Linear algebra(PDF) (Thirded.). Saint Michael's College. p.121. Archived(PDF) from the original on 3 December 2020. Retrieved 26 March 2021.
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Wilson, John (1850). Treatise on English Punctuation (2nded.). Boston.{{cite book}}: CS1 maint: location missing publisher (link)
Robertson, Joseph (1785). An Essay on Punctuation. London: J. Walter.
Hutton, Charles (1836). Gregory, Olinthus (ed.). A Course of Mathematics. Vol.1 (11thed.). London: Longman, Rees.
Bibliography
Lennard, John (1991). But I Digress: The Exploitation of Parentheses in English Printed Verse. Oxford: Clarendon Press. ISBN0198112475.
Turnbull, Arthur T.; Baird, Russell N. (1964). The Graphics of Communication: Typography, Layout, Design. New York: Holt, Rinehart and Winston. States that what are depicted as brackets above are called braces and braces are called brackets. This was the terminology in US printing prior to computers.
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