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A bracket is a tall mark typically used in matched pairs within text, to set apart or interject other text. The matched pair is best described as opening and closing UAX #9: Unicode Bidirectional Algorithm, 3.1.3 Paired Brackets. Less formally, in a left-to-right context, it may be described as left and right, and in a right-to-left context, as right and left.

Forms include round (also called "parentheses"), square, curly (also called "braces"), and angle brackets (also called "chevrons"); and various other pairs of symbols.

In addition to referring to the class of all types of brackets, the unqualified word bracket is most commonly used to refer to a specific type of bracket: in modern American usage this is usually the square bracket and in modern British usage this is usually the round bracket.

History
Chevrons (< >) were the earliest type of bracket to appear in . Desiderius Erasmus coined the term lunula to refer to the rounded parentheses (), recalling the shape of the crescent .Truss, Lynne. Eats, Shoots & Leaves, 2003. p. 161. .

Names for various bracket symbols
Some of the following names are regional or contextual.

• ( ) – parentheses, brackets (UK, Canada, New Zealand, South Africa and Australia), parens, round brackets, soft brackets, first brackets or circle brackets
•   – square brackets, closed brackets, hard brackets, second brackets, crotchets,Smith, John. The printer’s grammar: containing a concise history of the origin of printing; Also, an examination of the superficies, gradation, and properties of The different sizes of types cast by letter founders; Various Tables of Calculation; Models of Letter Cases; Schemes for casting off Copy and Imposing; and many other Requisites for attaining a perfect Knowledge both in the Theory and Practice of the Art of Printing. With directions to authors, compilers, &c. How to Prepare Copy, and to Correct their own Proofs. Chiefly collected from SMITH’s edition. To which are added directions for pressmen, &c. The whole calculated for the Service of All who have any Concern in the Letter Press. p. 84. or brackets (US)
• { } – braces are "two connecting marks used in printing"; and in music "to connect staves to be performed at the same time"Concise Oxford Dictionary, 10th Edition, Oxford University Press, Great Clarendon Street, Oxford OX2 2DP, UK (UK and US), French brackets, curly brackets, definite brackets, swirly brackets, curly braces, birdie brackets, Scottish brackets, squirrelly brackets, gullwings, seagulls, squiggly brackets, twirly brackets, Tuborg brackets (DK), accolades (NL), pointy brackets, third brackets, fancy brackets, M Brace.
• ⟨ ⟩ – pointy brackets, angle brackets, triangular brackets, diamond brackets, tuples, or chevrons
• < > – inequality signs, pointy brackets, or brackets. Sometimes referred to as angle brackets, in such cases as markup. Occasionally known as broken brackets or brokets.
• ⸤ ⸥; ｢ ｣ – corner brackets
• ⟦ ⟧ – double square brackets, white square brackets
• 〔 〕 – tortoise shell brackets
• Guillemets, ‹ › and « », are sometimes referred to as chevrons or double angle brackets.

Typography
The characters ‹ › and « », known as or angular quote brackets, are actually quotation mark glyphs used in several European languages.
(1998). 087779622X, . . 087779622X
At .
Which one of each pair is the opening quote mark and which is the closing quote varies between languages.

Similarly, the corner-brackets ｢ ｣ are quotation marks used in East Asian languages (see Quotation mark § Chinese, Japanese and Korean quotation marks).

In English, typographers generally prefer to not set brackets in , even when the enclosed text is italic.Robert Bringhurst, The Elements of Typographic Style, §5.3.2. However, in other languages like German, if brackets enclose text in italics, they are usually set in italics too.

(2018). 9783874396424, Herrmann Schmidt.

Types and uses

Parentheses

Usage in writing
Parentheses (singular, parenthesis ) (also called simply brackets, or round brackets, curved brackets, oval brackets, stalls or, colloquially, parens ) contain material that serves to clarify (in the manner of a gloss) or is aside from the main point. A milder effect may be obtained by using a pair of commas as the , though if the sentence contains commas for other purposes, visual confusion may result.

In American usage, parentheses are usually considered separate from other brackets, and calling them "brackets" is unusual.

Parentheses may be used in formal writing to add supplementary information, such as "Sen. John McCain (R-Arizona) spoke at length". They can also indicate shorthand for "" 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".Slash (punctuation)#Gender-neutrality in Spanish and Portuguese

Parenthetical phrases have been used extensively in informal writing and stream of consciousness literature. Examples include the southern American author (see Absalom, Absalom! and ) as well as poet E. E. Cummings.

Parentheses have historically been used where the is currently used in alternatives, such as "parenthesis)(parentheses". Examples of this usage can be seen in editions of Fowler's.

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 will be used for one or more inner set of parentheses in).

Any punctuation inside parentheses or other brackets is independent of the rest of the text: "Mrs. Pennyfarthing (What? Yes, that was her name!) was my landlady." In this usage, the explanatory text in the parentheses is a parenthesis. (Parenthesized text is usually short and within a single sentence. Where several sentences of supplemental material are used in parentheses the final would be within the parentheses, or simply omitted. Again, the parenthesis implies that the meaning and flow of the text is supplemental to the rest of the text and the whole would be unchanged were the parenthesized sentences removed.)

In more formal usage, "parenthesis" may refer to the entire bracketed text, not just to the punctuation marks used (so all the text in this set of round brackets may be said to be "a parenthesis", "a parenthetical", or "a parenthetical phrase").

Usage in enumerations
Unpaired parenthesis
Lower-case used as indexes, rather than bullets or numbers, followed by an unpaired parenthesis, are used in ordered especially in:
1. testing,
2. technical writing and diagrams,
3. , and
4. .

Usage as antisemitic symbol
Since 2014, have used triple parentheses around the names of people to denote them as Jewish.

Usage in mathematics
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, equals 14, since the multiplication is done before the addition. However, 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:

$\left(2^2 = 400.$

A related convention is that when parentheses have two levels of nesting, curly brackets (braces) are the outermost pair. Following this convention, when more than three levels of nesting are needed, often a cycle of parentheses, square brackets, and curly brackets will continue. This helps to distinguish between one such level and the next.

Parentheses are also used to set apart the in mathematical functions. For example, is the function applied to the variable . In coordinate systems parentheses are used to denote a set of coordinates; so in the Cartesian coordinate system may represent the point located at 4 on the x-axis and 7 on the y-axis.

Parentheses may also be used to represent a binomial coefficient.

Usage 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 , parentheses are a fundamental construct of the language.

Usage in other scientific fields
Parentheses are used in to denote a .

Square brackets

Usage in journalism
Square brackets—also called crotchets or simply brackets (US)—are mainly used to insert explanatory material or to mark where a passage was omitted from an original material by someone other than the original author, or to mark modifications in quotations. The Chicago Manual of Style, 15th ed., The University of Chicago Press, 2003, §6.104

A bracketed , …, is often used to indicate omitted material: "I'd like to thank several for their tolerance ..." Bracketed comments inserted into a quote indicate when the original has been modified for clarity: "I appreciate it the, but I must refuse", and "the future of psionics see is in doubt". Or one can quote the original statement "I hate to do laundry" with a (sometimes grammatical) modification inserted: He "hates to do laundry".

Additionally, a small letter can be replaced by a capital one, when the beginning of the original text is omitted for , for example, when referring to a 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", it can be quoted succinctly as: "Policymakers … made use of economic analysis … the way a drunkard uses a lamppost: for support, not illumination." When nested parentheses are needed, brackets are used as a substitute for the inner pair of parentheses within the outer pair. The Chicago Manual of Style, 15th ed., The University of Chicago Press, 2003, §6.102 and §6.106 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".

Brackets (called move-left symbols or move right symbols) are added to the sides of text in to indicate changes in indentation:

Usage in scientific fields
Brackets are used in in a variety of notations, including standard notations for intervals, , the floor function, the Lie bracket, equivalence classes, the , and matrices. Square brackets may also represent intervals; ]0, 5[ for example, is the interval between 0 and 5, not including 0 or 5 (sometimes written (0,5)).

Brackets can also be used in to represent the of a chemical substance or to denote distributed charge in a complex ion.

Brackets are used in many computer programming languages, primarily to force the order of evaluation and for parameter lists and 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.

Other uses
In linguistics, phonetic transcriptions are generally enclosed within brackets, The Chicago Manual of Style, 15th ed., The University of Chicago Press, 2003, §6.107 often using the International Phonetic Alphabet, whereas transcriptions typically use paired slashes. Pipes (| |) are often used to indicate a rather than phonemic representation. Other conventions are double slashes (// //), double pipes (|| ||) and curly brackets ({ }). In , square brackets usually surround the section of a dictionary entry which contains the of the word the entry defines.

Brackets are used to denote parts of the text that need to be checked when preparing drafts prior to finalizing a document. 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 decisions.

Curly brackets
Curly brackets { and } are also called braces in the United States (or, colloquially, squiggly brackets). They are rarely used in prose and have no widely accepted use in formal writing, but may be used to mark words or that should be taken as a group, to avoid confusion when other types of brackets are already in use, or for a special purpose specific to the publication (such as in a dictionary). Are curly braces ever used in normal text? If not, why were they created? More commonly, they are used to indicate a group of lines that should be taken together, as in when referring to several lines of poetry that should be repeated.

In music, they are known as accolades or "braces", and connect two or more lines (staves) of music that are played simultaneously. Decodeunicode.org > U+007B LEFT CURLY BRACKET Retrieved on 3 May 2009

In they delimit sets, and in writing, they may be used similarly, "Select your animal {goat, sheep, cow, horse} and follow me". In many programming languages, they enclose groups of statements. Such languages (C being one of the best-known examples) are therefore called curly bracket languages. In classical mechanics, curly brackets are often also used to denote the between two quantities.

Angle brackets
, similar to the commonly used (<) and greater-than symbol (>), are often used to enclose highlighted material.

In physical sciences, chevrons are used to denote an average over time or over another continuous parameter. For example,

$\left\langle V\left(t\right)^2 \right\rangle = \lim_\left\{T\to\infty\right\} \frac\left\{1\right\}\left\{T\right\}\int_\left\{-\frac\left\{T\right\}\left\{2\right\}\right\}^\left\{\frac\left\{T\right\}\left\{2\right\}\right\} V\left(t\right)^2\,\left\{\rm\left\{d\right\}\right\}t.$

The of two vectors is commonly written as , but the notation is also used.

In mathematical physics, especially quantum mechanics, it is common to write the inner product between elements as , as a short version of , or , where is an operator. This is known as or bra–ket notation.

In , chevrons or parentheses are used to denote and other , whereas curly brackets are used for unordered sets.

In , chevrons indicate (i.e., written letters) or , as in "The English word is spelled ."

In , they may be used for mechanical transliterations of a text into the Latin script.

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.

Chevrons are infrequently used to denote words that are thought instead of spoken, such as:

The mathematical or logical symbols for greater-than (>) and less-than (<) are inequality symbols; when either symbol is bisected by a vertical line, it represents "not greater than" or "not less than," respectively. These are not punctuation marks when used, as intended, to represent an inequality. However, as true chevrons are not present on computer keyboards, the available less-than and greater-than symbols are often used instead. They are loosely referred to as angled brackets or chevrons in this case, but more properly — and less confusingly — as pointy brackets (see the Names section above).

Single and double pairs of comparison operators (<<, >>) (meaning much smaller than and much greater than) are sometimes used as a fallback instead of («, ») (used as quotation marks in many languages) when the proper characters are not available on the keyboard nor in the input editor.

In , 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. Of course, since no foreign language is actually written, this is only notionally translated.

Chevron-like symbols are part of standard , and punctuation, where they generally enclose the titles of books: ︿ and ﹀ or ︽ and ︾ for traditional , and 〈 and 〉 or 《 and 》 for printing. See also non-English usage of quotation marks.

In continuum mechanics, chevrons may be used as Macaulay brackets.

In East Asian punctuation, angle brackets are used as quotation marks.

Lenticular brackets
Some languages use lenticular brackets 【 】, a combination of square brackets and parentheses called 方頭括號 fāngtóu kuòhào in and すみ付き sumitsuki in Japanese. They are used for inference in Chinese and used in titles and headings in Japanese.

Floor and ceiling corners
The floor corner brackets ⌊ and ⌋, the ceiling corner brackets ⌈ and ⌉ are used to denote the integer floor and ceiling functions.

Quine corners and half brackets
The Quine corners ⌜ and ⌝ have at least two uses in mathematical logic: either as , a generalization of quotation marks, or to denote the Gödel number of the enclosed expression.

Half brackets are used in English to mark added text, such as in translations: "Bill saw ⸤her⸥".

In editions of 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.M.L. West (1973) Textual Criticism and Editorial Technique (Stuttgart) 81. For example, Iambus 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.

Double brackets
Double brackets (or white square brackets), ⟦ ⟧, are used to indicate the semantic evaluation function in formal semantics for natural language and denotational semantics for programming languages.Dowty, D., Wall, R. and Peters, S.: 1981, Introduction to Montague semantics, Springer.Scott, D. and Strachey, C.: 1971, Toward a mathematical semantics for computer languages, Oxford University Computing Laboratory, Programming Research Group. The brackets stand for a function that maps a linguistic expression to its “denotation” or semantic value. Double brackets may also refer to the mathematical floor function.

Brackets with quills
Known as "spike parentheses" (piggparenteser) ⁅ and ⁆ are used in Swedish dictionaries.See

Specific uses

Computing
The various bracket characters are frequently used in many programming languages as operators or for other syntax markup. For instance, in C-like languages, { and } are often used to delimit a , and the parameters of are generally enclosed by ( and ).

In C, C++, Java and other C-derived languages—as well as in Scheme-influenced languages that have adopted C/Java syntax, such as —the "{}" symbols are referred to as "braces" or "curly braces" and never as brackets. Since the term "brace" is documented in the definitive programming specifications for these languages, it is preferable to use the correct term brace so there is no confusion between the brace (used to denote compound statements) and the bracket, used to denote other concepts, such as array indices.Brian W. Kernighan, Dennis M. Ritchie. "The C Programming Language", 1988. p. 7. Bjarne Stroustrup, "The C++ Programming Language", 2013. p.39.

Mathematics
In addition to the use of parentheses to specify the order of operations, both parentheses and brackets are used to denote an interval, also referred to as a half-open range. The notation is used to indicate an interval from to that is inclusive of but exclusive of . That is, 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 (with any number of 9s), but 12.0 is not included. In some European countries, the notation is also used for this. The endpoint adjoining the bracket is known as closed, whereas the endpoint adjoining the parenthesis is known as open. If both types of brackets are the same, the entire interval may be referred to as closed or open as appropriate. Whenever +∞ or −∞ is used as an endpoint, it is normally considered open and adjoined to a parenthesis. See Interval (mathematics) for a more complete treatment.

In quantum mechanics, chevrons are also used as part of formalism, bra–ket notation, to note vectors from the of the Bra . Mathematicians will also commonly write for the of two vectors. In statistical mechanics, chevrons denote ensemble or time average. Chevrons are used in to write group presentations, and to denote the by a collection of elements. Note that chevrons are not always (and even not by all users) distinguished from a pair of less-than and greater-than signs <>, which are sometimes used as a typographic approximation of chevrons.

In and , brackets denote the . In group theory, the commutator is commonly defined as . In ring theory, the commutator is defined as . Furthermore, in ring theory, braces denote the where } is defined as . The bracket is also used to denote the , or more generally the Lie bracket in any .

Various notations, like the vinculum have a similar effect to brackets in specifying order of operations, or otherwise grouping several characters together for a common purpose.

In the formal specification language, braces define a set and chevrons define a sequence.

Accounting
Traditionally in , contra amounts are placed in parentheses. A debit balance account in a series of credit balances will have brackets and vice versa.

Law
Brackets are used in some countries in the citation of to identify parallel citations to non-official reporters. For example: Chronicle Pub. Co. v. , (1998) 54 Cal.2d 548, 7. 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, is in the 1954 volume of the Appeal Cases reports although the decision may have been given in 1953 or earlier, whereas (1954) 98 Sol Jo 176 reports a decision from 1954, in volume 98 of the Solicitor's Journal which may be published in 1955 or later.

When quoted material is in any way altered, the alterations are enclosed in brackets within the quotation. For example: Plaintiff asserts his cause is just, stating, "my causes is just." Although in the original quoted sentence the word "my" was capitalized, it has been modified in the quotation and the change signalled with brackets. Similarly, where the quotation contained a grammatical error, the quoting author signalled that the error was in the original with " sic" (Latin for 'thus'). ( California Style Manual, section 4:59 (4th ed.))

Sports
Tournament brackets, the diagrammatic representation of the series of games played during a tournament usually leading to a single winner, are so named for their resemblance to brackets or braces.

Encoding in digital media
Representations of various kinds of brackets in and are given below.

General purpose(parentheses)
&#41; &rparen;
''
&#93;
Technical/mathematical
(common)
<HTML>
&#62; &gt;
{round, square, curly}
&#125;

Quotation
(Western texts)
« French quote »
&#187;
‹   ›
&#8250;
“English quote”
&#8221;
‘English quote’
&#8217;
‚German quote‘ or ‚Polish quote’
„German quote“ or „Polish quote”
Floor and ceiling functionsceiling
&#8969;
floor
&#8971;
quasi-quotation
editorial notation
&#8989;
editorial notation
&#8991;
Technical/mathematical
(specialized)
X⁽²⁾
&#8318;
X₍₂₎
&#8334;
{

large parentheses

|- | U+239C || Left parenthesis extension || &#9116; |- | U+239D || Left parenthesis lower hook || &#9117; |- | U+239E || Right parenthesis upper hook || &#9118; |- | U+239F || Right parenthesis extension || &#9119; |- | U+23A0 || Right parenthesis lower hook || &#9120; |- | U+23A1 || Left square bracket upper corner || &#9121; ||rowspan="6"|
 ⎡⎢⎣ large square brackets ⎤⎥⎦
|- | U+23A2 || Left square bracket extension || &#9122; |- | U+23A3 || Left square bracket lower corner || &#9123; |- | U+23A4 || Right square bracket upper corner || &#9124; |- | U+23A5 || Right square bracket extension || &#9125; |- | U+23A6 || Right square bracket lower corner || &#9126; |- | U+23A7 || Left curly bracket upper hook || &#9127; ||rowspan="6"|
 ⎧⎨⎩ large curly brackets ⎫⎬⎭
|- | U+23A8 || Left curly bracket middle piece || &#9128; |- | U+23A9 || Left curly bracket lower hook || &#9129; |- | U+23AB || Right curly bracket upper hook || &#9131; |- | U+23AC || Right curly bracket middle piece || &#9132; |- | U+23AD || Right curly bracket lower hook || &#9133; |- | U+23AA || Curly bracket extension || &#9130; || ⎪ |- | U+23B0 || Upper left or lower right curly bracket section || &#9136; ||rowspan="2"| ⎰            ⎱
⎱            ⎰ |- | U+23B1 || Upper right or lower left curly bracket section || &#9137; |- | U+23B4 || Top square bracket || &#9140; ||rowspan="2"|
horizontal square brackets
|- | U+23B5 || Bottom square bracket || &#9141; |- | U+23B6 || Bottom square bracket over top square bracket || &#9142; ||
n
|- | U+23B8 || Left vertical box line || &#9144; ||rowspan="2"|⎸boxed text⎹ |- | U+23B9 || Right vertical box line || &#9145; |- | U+23DC || Top parenthesis || &#9180; ||rowspan="2"|
horizontal parentheses
|- | U+23DD || Bottom parenthesis || &#9181; |- | U+23DE || Top curly bracket || &#9182; ||rowspan="2"|
horizontal curly brackets
|- | U+23DF || Bottom curly bracket || &#9183; |- | U+23E0 || Top tortoise shell bracket || &#9184; ||rowspan="2"|
tortoise shell brackets
|- | U+23E1 || Bottom tortoise shell bracket || &#9185; |- | U+27C5 || Left s-shaped bag delimiter || &#10181; ||rowspan="2"| ⟅…⟆ |- | U+27C6 || Right s-shaped bag delimiter || &#10182; |- | U+27D3 || Lower right corner with dot || &#10195; ||rowspan="2"| ⟓pullback…pushout⟔ |- | U+27D4 || Upper left corner with dot || &#10196; |- | U+27E6 || Mathematical left white square bracket || &#10214; ||rowspan="2"| ⟦white square brackets⟧ |- | U+27E7 || Mathematical right white square bracket || &#10215; |- | U+27E8 || Mathematical left angle bracket || &#10216; &lang; ||rowspan="2"| |- | U+27E9 || Mathematical right angle bracket || &#10217; &rang; |- | U+27EA || Mathematical left double angle bracket || &#10218; ||rowspan="2"| ⟪ , ⟫ |- | U+27EB || Mathematical right double angle bracket || &#10219; |- | U+27EC || Mathematical left white tortoise shell bracket || &#10220; ||rowspan="2"| ⟬white tortoise shell brackets⟭ |- | U+27ED || Mathematical right white tortoise shell bracket || &#10221; |- | U+27EE || Mathematical left flattened parenthesis || &#10222; ||rowspan="2"| ⟮flattened parentheses⟯ |- | U+27EF || Mathematical right flattened parenthesis || &#10223; |- | U+2983 || Left white curly bracket || &#10627; ||rowspan="2"| ⦃white curly brackets⦄ |- | U+2984 || Right white curly bracket || &#10628; |- | U+2985 || Left white parenthesis || &#10629; ||rowspan="2"| ⦅white/double parentheses⦆ |- | U+2986 || Right white parenthesis || &#10630; |- | U+2987 || left image bracket || &#10631; ||rowspan="2"| ⦈ |- | U+2988 || Z notation right image bracket || &#10632; |- | U+2989 || Z notation left binding bracket || &#10633; ||rowspan="2"| ⦊ |- | U+298A || Z notation right binding bracket || &#10634; |- | U+298B || Left square bracket with underbar || &#10635; ||rowspan="2"| ⦋underlined square brackets⦌ |- | U+298C || Right square bracket with underbar || &#10636; |- | U+298D || Left square bracket with tick in top corner || &#10637; ||rowspan="2"| ⦍ticked square brackets⦐ |- | U+2990 || Right square bracket with tick in top corner || &#10640; |- | U+298E || Right square bracket with tick in bottom corner || &#10638; ||rowspan="2"| ⦏ticked square brackets⦎ |- | U+298F || Left square bracket with tick in bottom corner || &#10639; |- | U+2991 || Left angle bracket with dot || &#10641; ||rowspan="2"| ⦑dotted angle brackets⦒ |- | U+2992 || Right angle bracket with dot || &#10642; |- | U+2993 || Left arc less-than bracket || &#10643; ||rowspan="2"| ⦓inequality sign brackets⦔ |- | U+2994 || Right arc greater-than bracket || &#10644; |- | U+2995 || Double left arc greater-than bracket || &#10645; ||rowspan="2"| ⦕inequality sign brackets⦖ |- | U+2996 || Double right arc less-than bracket || &#10646; |- | U+2997 || Left black tortoise shell bracket || &#10647; ||rowspan="2"| ⦗black tortoise shell brackets⦘ |- | U+2998 || Right black tortoise shell bracket || &#10648; |- | U+29D8 || Left wiggly fence || &#10712; ||rowspan="2"| ⧘…⧙ |- | U+29D9 || Right wiggly fence || &#10713; |- | U+29DA || Left double wiggly fence || &#10714; ||rowspan="2"| ⧚…⧛ |- | U+29DB || Right double wiggly fence || &#10715; |- | U+29FC || Left-pointing curved angle bracket || &#10748; ||rowspan="2"| ⧼…⧽ |- | U+29FD || Right-pointing curved angle bracket || &#10749; |- |rowspan="4"| Half brackets | U+2E22 || Top left half bracket || &#11810; ||rowspan="2"| ⸢ editorial notation⸣ |- | U+2E23 || Top right half bracket || &#11811; |- | U+2E24 || Bottom left half bracket || &#11812; ||rowspan="2"| ⸤ editorial notation⸥ |- | U+2E25 || Bottom right half bracket || &#11813; |- |rowspan="14"| | U+2768 || Medium left parenthesis ornament || &#10088; ||rowspan="2"| ❨medium parenthesis ornament❩ |- | U+2769 || Medium right parenthesis ornament || &#10089; |- | U+276A || Medium flattened left parenthesis ornament || &#10090; ||rowspan="2"| ❪medium flattened parenthesis ornament❫ |- | U+276B || Medium flattened right parenthesis ornament || &#10091; |- | U+276C || Medium left-pointing angle bracket ornament || &#10092; ||rowspan="2"| ❬medium angle bracket ornament❭ |- | U+276D || Medium right-pointing angle bracket ornament || &#10093; |- | U+2770 || Heavy left-pointing angle bracket ornament || &#10096; ||rowspan="2"| ❰heavy angle bracket ornament❱ |- | U+2771 || Heavy right-pointing angle bracket ornament || &#10097; |- | U+276E || Heavy left-pointing angle quotation mark ornament || &#10094; ||rowspan="2"| ❮heavy angle quotation ornament❯ |- | U+276F || Heavy right-pointing angle quotation mark ornament || &#10095; |- | U+2772 || Light left tortoise shell bracket ornament || &#10098; ||rowspan="2"| ❲light tortoise shell bracket ornament❳ |- | U+2773 || Light right tortoise shell bracket ornament || &#10099; |- | U+2774 || Medium left curly bracket ornament || &#10100; ||rowspan="2"| ❴medium curly bracket ornament❵ |- | U+2775 || Medium right curly bracket ornament || &#10101; |- |rowspan="2"| | U+FD3E || Ornate left parenthesis || &#64830; ||rowspan="2"| |- | U+FD3F || Ornate right parenthesis || &#64831; |- |rowspan="2"| N'Ko | U+2E1C || Left low paraphrase bracket || &#11804; ||rowspan="2"| |- | U+2E1D || Right low paraphrase bracket || &#11805; |- |rowspan="2"| | U+169B || Ogham feather mark || &#5787; ||rowspan="2"| ᚛ᚑᚌᚐᚋ᚜ |- | U+169C || Ogham reversed feather mark || &#5788; |- | Old Hungarian || U+2E42 || Double low-reversed-9 quotation mark || &#11842; |- |rowspan="4"| | U+0F3A || Tibetan mark gug rtags gyon || &#3898; ||rowspan="2"| ༺དབུ་ཅན་༻ |- | U+0F3B || Tibetan mark gug rtags gyas || &#3899; |- | U+0F3C || Tibetan mark ang khang gyon || &#3900; ||rowspan="2"| ༼༡༢༣༽ |- | U+0F3D || Tibetan mark ang khang gyas || &#3901; |- |rowspan="8"| editorial marks | U+2E02 || Left substitution bracket || &#11778; ||rowspan="2"| ⸂…⸃ |- | U+2E03 || Right substitution bracket || &#11779; |- | U+2E04 || Left dotted substitution bracket || &#11780; ||rowspan="2"| ⸄…⸅ |- | U+2E05 || Right dotted substitution bracket || &#11781; |- | U+2E09 || Left transposition bracket || &#11785; ||rowspan="2"| ⸉…⸊ |- | U+2E0A || Right transposition bracket || &#11786; |- | U+2E0C || Left raised omission bracket || &#11788; ||rowspan="2"| ⸌…⸍ |- | U+2E0D || Right raised omission bracket || &#11789; |- |rowspan="6"| | U+2045 || Left square bracket with quill || &#8261; ||rowspan="2"|⁅…⁆ |- | U+2046 || Right square bracket with quill || &#8262; |- | U+2E26 || Left sideways u bracket || &#11814; ||rowspan="2"| ⸦crux⸧ |- | U+2E27 || Right sideways u bracket || &#11815; |- | U+2E28 || Left double parenthesis || &#11816; ||rowspan="2"| ⸨…⸩ |- | U+2E29 || Right double parenthesis || &#11817; |- |rowspan="10"| Quotation
(East-Asian texts) | U+3014 || Left tortoise shell bracket || &#12308; ||rowspan="2"| 〔…〕 |- | U+3015 || Right tortoise shell bracket || &#12309; |- | U+3016 || Left white lenticular bracket || &#12310; ||rowspan="2"| 〖…〗 |- | U+3017 || Right white lenticular bracket || &#12311; |- | U+3018 || Left white tortoise shell bracket || &#12312; ||rowspan="2"| 〘…〙 |- | U+3019 || Right white tortoise shell bracket || &#12313; |- | U+301A || Left white square bracket || &#12314; ||rowspan="2"| 〚…〛 |- | U+301B || Right white square bracket || &#12315; |- | U+301D || Reversed double prime quotation mark || &#12317; ||rowspan="2"| 〝…〞 |- | U+301E || Double prime quotation mark || &#12318; |- |rowspan="4"| Quotation
(halfwidth East-Asian texts) | U+2329 || Left-pointing angle bracket || &#9001; &lang; || rowspan="2" | 〈deprecated〉 |- | U+232A || Right-pointing angle bracket || &#9002; &rang; |- | U+FF62 || Halfwidth left corner bracket || &#65378; ||rowspan="2"| ｢ｶﾀｶﾅ｣ |- | U+FF63 || Halfwidth right corner bracket || &#65379; |- |rowspan="10"| Quotation
(fullwidth East-Asian texts) | U+3008 || Left angle bracket || &#12296; ||rowspan="2"| 〈한〉 |- | U+3009 || Right angle bracket || &#12297; |- | U+300A || Left double angle bracket || &#12298; ||rowspan="2"| 《한》 |- | U+300B || Right double angle bracket || &#12299; |- | U+300C || Left corner bracket || &#12300; ||rowspan="2"| 「白八櫨」 |- | U+300D || Right corner bracket || &#12301; |- | U+300E || Left white corner bracket || &#12302; ||rowspan="2"| 『カタカナ』 |- | U+300F || Right white corner bracket || &#12303; |- | U+3010 || Left black lenticular bracket || &#12304; ||rowspan="2"| 【ひらがな】 |- | U+3011 || Right black lenticular bracket || &#12305; |- |rowspan="4"| General purpose
(fullwidth East-Asian) | U+FF08 || Fullwidth left parenthesis || &#65288; ||rowspan="2"| （Ｗｉｋｉ） |- | U+FF09 || Fullwidth right parenthesis || &#65289; |- | U+FF3B || Fullwidth left square bracket || &#65339; ||rowspan="2"| ［ ｓｉｃ］ |- | U+FF3D || Fullwidth right square bracket || &#65341; |- |rowspan="6"| Technical/mathematical
(fullwidth East-Asian) | U+FF1C || Fullwidth less-than sign || &#65308; ||rowspan="2"| ＜ＨＴＭＬ＞ |- | U+FF1E || Fullwidth greater-than sign || &#65310; |- | U+FF5B || Fullwidth left curly bracket || &#65371; ||rowspan="2"| ｛１、２｝ |- | U+FF5D || Fullwidth right curly bracket || &#65373; |- | U+FF5F || Fullwidth left white parenthesis || &#65375; ||rowspan="2"| ｟…｠ |- | U+FF60 || Fullwidth right white parenthesis || &#65376; |}

&lang; and &rang; 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. This is fullwidth version of U+2033 DOUBLE PRIME. In vertical texts, U+301F LOW DOUBLE PRIME QUOTATION MARK is preferred.

Braces (curly brackets) first became part of a character set with the 8-bit code of the IBM 7030 Stretch.

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, 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.

• International variation in quotation marks
• Japanese typographic symbols
• Order of operations

Bibliography
• (1991). 9780198112471, Clarendon Press.
• 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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