Bracket (other)
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Bracket (other)
A bracket is a tall punctuation mark typically used in matched pairs within text. Bracket may also refer to: Architecture and engineering * Bracket (architecture), an architectural element, a structural or decorative member ** Corbel or decorative bracket, used in furniture and mantelpieces * Bracket, a general term for an object used for support ** Automotive bracket, various brackets used in List of auto parts ** Angle bracket, a type of fastener to join two parts ** Bottom bracket, in bicycles ** Blade bracket, in ceiling fans ** Bracket, a component of dental braces Entertainment * Bracket (band), a pop punk band * "The Bracket", an episode of television series ''How I Met Your Mother'' * ''( )'' (film), a 2003 film directed by Morgan Fisher * ''( )'' (album), an album by the Icelandic band Sigur Rós * Bracket (music group), a Nigerian afropop music group Mathematics and science * Bracket fungus, fungi in the phylum Basidiomycota * Bracket (mathematics), symbols use ...
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Bracket
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. Typically deployed in symmetric pairs, an individual bracket may be identified as a 'left' or 'right' bracket or, alternatively, an "opening bracket" or "closing bracket", respectively, depending on the directionality of the context. Specific forms of the mark include parentheses (also called "rounded brackets"), square brackets, curly brackets (also called 'braces'), and angle brackets (also called 'chevrons'), as well as various less common pairs of symbols. As well as signifying the overall class of punctuation, the word "bracket" is commonly used to refer to a specific form of bracket, which varies from region to region. In most English-speaking countries, an unqualified word "bracket" refers to the parenthesis (round bracket); in the United States, the square bracket. Various forms of brackets are used in mathematics, with s ...
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Poisson Bracket
In mathematics and classical mechanics, the Poisson bracket is an important binary operation in Hamiltonian mechanics, playing a central role in Hamilton's equations of motion, which govern the time evolution of a Hamiltonian dynamical system. The Poisson bracket also distinguishes a certain class of coordinate transformations, called ''canonical transformations'', which map canonical coordinate systems into canonical coordinate systems. A "canonical coordinate system" consists of canonical position and momentum variables (below symbolized by q_i and p_i, respectively) that satisfy canonical Poisson bracket relations. The set of possible canonical transformations is always very rich. For instance, it is often possible to choose the Hamiltonian itself H =H(q, p, t) as one of the new canonical momentum coordinates. In a more general sense, the Poisson bracket is used to define a Poisson algebra, of which the algebra of functions on a Poisson manifold is a special case. There are ot ...
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Bracketing
In photography, bracketing is the general technique of taking several shots of the same subject using different camera settings. Bracketing is useful and often recommended in situations that make it difficult to obtain a satisfactory image with a single shot, especially when a small variation in exposure parameters has a comparatively large effect on the resulting image. Given the time it takes to accomplish multiple shots, it is typically, but not always, used for static subjects. Autobracketing is a feature of many modern cameras. When set, it will automatically take several bracketed shots, rather than the photographer altering the settings by hand between each shot. Types of bracketing Exposure bracketing Image:StLouisArchMultExpEV-4.72.JPG, –4 stops Image:StLouisArchMultExpEV-1.82.JPG, –2 stops Image:StLouisArchMultExpEV+1.51.JPG, +2 stops Image:StLouisArchMultExpEV+4.09.JPG, +4 stops Without further qualifications, the term ''bracketing'' usually refers to expos ...
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Bracketing (other)
Bracketing may refer to: Social sciences *Bracketing, a term in behavioral economics * Bracketing in pharmaceutical validation is an approach in which the validation of extreme values of the tested samples is used to represent the validation of the whole gamut of values * Bracketing (linguistics), a term in morphological analysis ** Rebracketing, breaking a word into constituent parts inconsistent with its original etymology * Center-squeeze, a situation in instant-runoff voting and plurality voting where a moderate candidate is defeated as a result of being "bracketed" by extremists Humanities, arts, and literature * Bracketing, a photographic technique ** Autobracketing, a camera feature for taking multiple shots with different settings * Bracketing (phenomenology), a method used by phenomenological sociologists * Inclusio, a literary device Other * Bracketing, a method for determining range by firing artillery Artillery is a class of heavy military range ...
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Bracket Clock
A bracket clock is a style of antique portable table clock made in the 17th and 18th centuries. The term originated with small weight-driven pendulum clocks (sometimes called 'true bracket clocks') that had to be mounted on a bracket on the wall to allow room for their hanging weights. When spring-driven clocks were developed, which didn't require hanging weights to power them, they continued to be made in the bracket style. Often they are composed of two matching pieces created as an ensemble: the clock and its small decorative shelf. They are almost always made of wood, often ebony, and often ornamented with ormolu mounts, brass inlay, wood or tortoise shell veneer, or decorative varnish. Since in their day clocks were expensive, and a household would not have one in every room, bracket clocks usually had handles to carry them from room to room. These clocks were almost always repeaters, that is striking clocks which could be made to repeat the striking of the hours at the p ...
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Tax Bracket
Tax brackets are the divisions at which tax rates change in a progressive tax system (or an explicitly regressive tax system, though that is rarer). Essentially, tax brackets are the cutoff values for taxable income—income past a certain point is taxed at a higher rate. Example Imagine that there are three tax brackets: 10%, 20%, and 30%. The 10% rate applies to income from $1 to $10,000; the 20% rate applies to income from $10,001 to $20,000; and the 30% rate applies to all income above $20,000. Under this system, someone earning $10,000 is taxed at 10%, paying a total of $1,000. Someone earning $5,000 pays $500, and so on. Meanwhile, someone who earns $25,000 faces a more complicated calculation. The rate on the first $10,000 is 10%, from $10,001 to $20,000 is 20%, and above that is 30%. Thus, they pay $1,000 for the first $10,000 of income (10%), $2,000 for the second $10,000 of income (20%), and $1,500 for the last $5,000 of income (30%), In total, they pay $4,500, or an ...
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Bracket Turn
A bracket turn is a kind of one-foot turn in figure skating. The transition between edges during the turn is the same as for a three turn—for example, forward inside edge to back outside edge—but unlike a three turn, in which the cusp of the turn points into the curve of the arc on which it is skated, a bracket turn is counterrotated so that the cusp points outward. The tracing of the turn on the ice resembles a curly bracket "}". Brackets are considered advanced turns in figure skating and commonly appear only in step sequences instead of as a simple means of changing direction. They were also part of the compulsory figures Compulsory figures or school figures were formerly a segment of figure skating, and gave the sport its name. They are the "circular patterns which skaters trace on the ice to demonstrate skill in placing clean turns evenly on round circles". For ..., which skaters were required to perform in every routine until they were abolished in 1990. Fig ...
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Bracket (tournament)
A bracket or tournament bracket is a tree diagram that represents the series of games played during a knockout tournament. Different knockout tournament formats have different brackets; the simplest and most common is that of the single-elimination tournament. The name "bracket" is American English, derived from the resemblance of the links in the tree diagram to the bracket punctuation symbol ] or (called a "square bracket" in British English). The closest British term is draw, although this implies an element of chance, whereas some brackets are determined entirely by Seed (sports)">seeding. In some tournaments, the full bracket is determined before the first match. In such cases, fans may enjoy trying to predict the winners of the initial round and of the consequent later matchups. This is called "bracketology", particularly in relation to the NCAA Division I men's basketball tournament. This prediction is not possible in tournaments, such as the FA Cup and the UEFA Champi ...
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Typeface Anatomy
Typeface anatomy describes the graphic elements that make up letters in a typeface. Strokes The ''strokes'' are the components of a letterform. Strokes may be ''straight'', as in , or ''curved'', as in . If straight, they may be ''horizontal, vertical,'' or ''diagonal''; if curved, ''open'' or ''closed''. Typographers also speak of an ''instroke,'' where one starts writing the letter, as at the top of , and an ''outstroke,'' where the pen leaves off, as at the bottom of . A main vertical stroke is called a ''stem''. The letter has three, the left, middle, and right stems. The central stroke of an is called the ''spine''. When the stroke is part of a lowercase and rises above the height of an (called the x height), it is called an '' ascender''. Letters with ascenders are . A stroke which drops below the baseline is a ''descender''. Letters with descenders are . An arching stroke is called a ''shoulder'' as in the top of an or sometimes just an ''arch'', as in . A close ...
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Brackets (text Editor)
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. Typically deployed in symmetric pairs, an individual bracket may be identified as a 'left' or 'right' bracket or, alternatively, an "opening bracket" or "closing bracket", respectively, depending on the directionality of the context. Specific forms of the mark include parentheses (also called "rounded brackets"), square brackets, curly brackets (also called 'braces'), and angle brackets (also called 'chevrons'), as well as various less common pairs of symbols. As well as signifying the overall class of punctuation, the word "bracket" is commonly used to refer to a specific form of bracket, which varies from region to region. In most English-speaking countries, an unqualified word "bracket" refers to the parenthesis (round bracket); in the United States, the square bracket. Various forms of brackets are used in mathematics, with s ...
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Schouten–Nijenhuis Bracket
In differential geometry, the Schouten–Nijenhuis bracket, also known as the Schouten bracket, is a type of graded Lie bracket defined on multivector fields on a smooth manifold extending the Lie bracket of vector fields. There are two different versions, both rather confusingly called by the same name. The most common version is defined on alternating multivector fields and makes them into a Gerstenhaber algebra, but there is also another version defined on symmetric multivector fields, which is more or less the same as the Poisson bracket on the cotangent bundle. It was invented by Jan Arnoldus Schouten (1940, 1953) and its properties were investigated by his student Albert Nijenhuis (1955). It is related to but not the same as the Nijenhuis–Richardson bracket and the Frölicher–Nijenhuis bracket. Definition and properties An alternating multivector field is a section of the exterior algebra ∧∗T''M'' over the tangent bundle of a manifold ''M''. The alternating multi ...
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Nijenhuis–Richardson Bracket
In mathematics, the algebraic bracket or Nijenhuis–Richardson bracket is a graded Lie algebra structure on the space of alternating multilinear forms of a vector space to itself, introduced by A. Nijenhuis and R. W. Richardson, Jr (1966, 1967). It is related to but not the same as the Frölicher–Nijenhuis bracket and the Schouten–Nijenhuis bracket. Definition The primary motivation for introducing the bracket was to develop a uniform framework for discussing all possible Lie algebra structures on a vector space, and subsequently the deformations of these structures. If ''V'' is a vector space and is an integer, let :\operatorname^p(V) = (^ V^*)\otimes V be the space of all skew-symmetric -multilinear mappings of ''V'' to itself. The direct sum Alt(''V'') is a graded vector space. A Lie algebra structure on ''V'' is determined by a skew-symmetric bilinear map . That is to say, ''μ'' is an element of Alt1(''V''). Furthermore, ''μ'' must obey the Jacobi identity. ...
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