Multiple issues refimprove April 2009 update July 2009 original research April 2009 The bulgebracket comprises the world s largest and most profitable multi national investment banks ref http www.yourdictionary.com finance bulgebracket ref whose investment banking clients are usually large corporations, institutions, and governments. They usually provide both advisory and financing banking services, as well as the sales, market maker market making , and research on a broad array of financial products including equities, credit, rates, commodities, and their derivatives. They are also heavily involved in the invention of new financial products, such as mortgage backed securities in the 1980s .... Bulgebracket firms are usually primary dealers in US treasury securities . Bulgebracket banks are also ... subprime mortgage crisis The BulgeBracket firms on Wall Street prior to late 2007 were, alphabetically ... BulgeBracket status after its acquisition. Banks formerly part of the bulgebracket Dillon, Read ... Citigroup in 1998. Banks currently part of the bulgebracket According to Thomson Reuters League Tables, ref http online.thomsonreuters.com DealsIntelligence ref the following banks are part of the bulgebracket Bank of America Merrill Lynch Barclays Citigroup Citi Credit Suisse Deutsche Bank Goldman ... and the term bulgebracket is told in the Tombstones chapter of The House of Morgan by Ron Chernow ... the bulgebracket consisted of Morgan Stanley First Boston Kuhn, Loeb & Co. Kuhn, Loeb and Dillon, Read . Morgan Stanley appeared above the other members of the bulgebracket by demanding and receiving ..., Read from the bulgebracket and brought in Merrill Lynch, Salomon Brothers and Goldman, Sachs ... DEFAULTSORT BulgeBracket Category Investment banks Category Financial terminology ja ... and it may bulge out. There is often debate over which banks are considered to belong to the bulgebracket. Membership implies prestige, but there are no precise criteria for inclusion, and financial ... more details
wiktionary bulge NOTOC Bulge may refer to Military A localized discontinuity in an extended military Line formation line Battle of the Bulge , a major World War II German offensive on the Western front starting in 1944 Astronomy Bulge astronomy , a tightly packed group of stars at the center of a spiral galaxy Equatorial bulge , a bulge around the equator of a planet due to rotation Tidal bulge , a bulge of land or water on a planet created by the pull of another object in orbit Other Beta bulge , a localized disruption of the regular hydrogen bonding of a beta sheet Bulgebracket , the world s largest and most profitable multi national investment banks Earth bulge , a term used in telecommunications The Bulge , a mountain located in Coos County, New Hampshire See also Battle of the Bulge disambiguation Hernia , sometimes referred to as a bulge or bulge out bilge disambig ja ... more details
For the World War II battle, look for Battle of the Bulge . Infobox mountain name The Bulge photo photo caption elevation 3940 feet 1201 m elevation ref NGVD29 ref name pb cite peakbagger pid 6876 name The Bulge, New Hampshire accessdate 2010 02 21 ref prominence ft 220 prominence ref ref name pb listing 72 New England Hundred Highest New England 100 Highest location Kilkenny, New Hampshire Kilkenny , Coos County, New Hampshire Coos County , New Hampshire range Pilot Range New Hampshire Pilot Range coordinates coord 44 30.88 N 71 24.49 W type mountain region US display inline,title coordinates ref ref name gnis cite gnis id 870370 name The Bulge accessdate 2010 02 21 ref topo United States Geological Survey USGS Stark type age first ascent easiest route The Bulge is a mountain located in Coos County, New Hampshire Coos County , New Hampshire . The mountain is part of the Pilot Range New Hampshire Pilot Range of the White Mountains New Hampshire White Mountains . The Bulge is flanked to the northeast by The Horn New Hampshire The Horn , and to the southwest by Mount Cabot . The Bulge stands within the drainage basin watershed of the Connecticut River , which drains into Long Island Sound in Connecticut . The southeast face of the Bulge drains into the headwaters of the West Branch Upper Ammonoosuc River West Branch of the Upper Ammonoosuc River , a tributary of the Connecticut River. The north face of the Bulge drains north, thence into the West Branch of Mill Brook, and into the Upper Ammonoosuc. The west face of the Bulge drains into Fox Brook, thence into Whipple Brook, Burnside Brook, Otter Brook, and the Israel River , another tributary of the Connecticut. See also List of mountains in New Hampshire White Mountain National Forest New England Hundred Highest References reflist DEFAULTSORT Bulge Category Mountains of New Hampshire Category Landforms of Coos County, New Hampshire Category New England Hundred Highest NewHampshire geo stub ... more details
Infobox Television episode Title The Bracket Series How I Met Your Mother Image Caption Season 3 Episode 14 Airdate March 31, 2008 Writer Joe Kelly writer Joe Kelly Director Pamela Fryman Guests Chris Tallman Mark br Maite Schwartz Holly br April Bowlby Meg br Dawn Olivieri Anna br Ken Barnett Colton Dunn br Brendan Patrick Connor Janitor br Yvonne DeLaRosa Charna br Katy Savoy Karen br Kathy Uyen Julia br Hallie Lambert Kate br Tess Alexandra Parker Mysterious Woman ref name pressrelease cite web url http www.thefutoncritic.com listings 20081113cbs08 title Episode Title 314 The Bracket Press Release ref Production 3ALH14 Season list Infobox How I Met Your Mother season 3 episode list The Bracket is the 14th episode in the third season of the television series How I Met Your Mother and 58th overall. It originally aired on March 31, 2008. Plot Barney Stinson Barney attempts to track down and identify ..., Madeleine is one of the names on the upper right side of the bracket. Then, when looking at the scrapbook ... name is not present in the bracket. This is explained later when she explains what Barney did to her ..., Barney s college girlfriend, all appear on the bracket, and all lose in the second round. Penelope, the raindancer from Come On How I Met Your Mother Come On , appears on the bracket, and loses ... one of the girls on the bracket, Barney asks Lily to go into his room and throw a metal case that he ... references In Ted and Marshall s NCAA tournament bracket, they picked the Washington State Cougars Washington State University Cougars to win the national championship. The bracket was similar, but not identical to the actual 2008 bracket. Near the beginning of the episode, Barney is trying to remember ... Winfrey appears in the bracket as one of Barney s conquests. She is the last name in the 4th region ... how i met your mother the bracket episode 1188681 The Bracket imdb title 1206872 The Bracket How I Met Your Mother How I Met Your Mother episodes DEFAULTSORT Bracket Category How I Met Your Mother season ... more details
Fr licher Nijenhuis bracket Moyal bracket Nijenhuis Richardson bracket Schouten Nijenhuis bracket Finance Bulgebracket Tax bracket or income bracket Other Bracketing , the photographic technique ...wikt bracket TOC right Bracket may refer to Punctuation Bracket , one of a class of punctuation marks used in pairs to set apart or interject text within other text Bracket Square brackets .5B .5D Square bracket , one type of punctuation bracket primarily American usage Bracket Parentheses .28 .29 Parenthesis , another type of punctuation bracket primarily British usage Architecture and engineering Bracket architecture structure, often in the shape of an inverted L or triangle, set flat against a wall to support objects above Corbel or decorative bracket, used in furniture and mantelpieces Bracket engineering , general term for an object used for support List of auto parts Automotive bracket , various brackets used in automotive parts Bottom bracket , in bicycles Blade bracket , in ceiling fans Computer bracket , on expansion card s D Bracket , in computer hardware A component of dental braces Sports Bracket tournament , a diagrammatic representation of the series of games played during a tournament Bracket turn , a figure skating move Entertainment Bracket band , a pop punk band The Bracket , episode of television series How I Met Your Mother film , a 2003 film directed by Morgan Fisher album album by the Icelandic band Sigur R s Mathematics and science Bracket fungus , fungi in in the phylum Basidiomycota Bracket mathematics , symbols used to specify the order of operations List of programming languages by category Curly bracket languages Curly bracket languages in programming Lie bracket disambiguation , multiple meanings Poisson bracket , an operator used in mathematics ... wikt Age bracket Age bracket See also intitle bracket lookfrom bracketBracket buster Bracket clock Up the Bracket , 2002 music album by The Libertines Bracketing disambiguation disambig eo Krampo ko ... more details
Unreferenced date February 2007 Image Xke PB.jpg thumb The distinctive power bulge of an E type Jaguar Image Sonett mk2V4 powerbulge.jpg thumb 250px right Power bulge on the hood of a Saab Sonett Sonett V4 Saab Sonett V4 . A power bulge is a raised part a bulge of the Hood vehicle hood of a car. The reason for a power bulge is to fit for instance a large engine or air filters that otherwise would not fit. Sometimes a power bulge is used to be able to fit a larger engine into a car that originally was not designed for it or it may be a design choice to be able to get a lower profile. As a power bulge is associated with performance cars it may also be used as a design element to give the impression of a fast car. DEFAULTSORT Power Bulge Category Automotive body parts Automotive part stub ja ... more details
A beta bulge is a localized disruption of the regular hydrogen bond ing of a beta sheet , usually by inserting a residue with alpha helix helical dihedral angle s into one or both hydrogen bond H bonded strands. Types bulges can be grouped according to their length of the disruption, the number of residues inserted into each strand, whether the disrupted strands are parallel or antiparallel and by their dihedral angle s which controls the placement of their side chains . Effects on structure At the level of the backbone structure, bulges can cause a simple aneurysm of the sheet, e.g., the bulge in the long hairpin of ribonuclease A residues 88 91 . A bulge can also cause a sheet to fold over and cross itself, e.g., when two residues with left handed and right handed helical dihedral angle s are inserted opposite to each other in a hairpin, as occurs at Met9 and Asn16 in pseudoazurin PDB accession code 1PAZ . Effect on Functionality of Proteins Bulges play an important role in affecting the functionality of proteins in which they are conserved. The most basic function of Bulges is to accommodate an extra residue, that has been added due to mutation etc., while still maintaining the bonding pattern and thus the overall architecture of the protein. In specific cases like the Immunoglobulin family proteins, these Bulges are conserved and help in dimerization of the Ig domains. They have found to be of functional importance in the protein DHFR Di Hydro Folate Reductase and SOD Super Oxide Dismutase where the loops, containing the bulges, help to enclose the active site. References cite journal journal Proc Natl Acad Sci USA volume 75 issue 6 pages 2574 8 year 1978 author Richardson JS, Getzoff ED, Richardson DC. title The bulge a common small unit of nonrepetitive protein structure pmid 275827 doi 10.1073 pnas.75.6.2574 pmc 392604 cite journal journal ... Beta Bulge Category Protein structural motifs ja ... more details
Earth bulge is a term used in telecommunication s. It refers to the circular segment of earth profile which blocks off long distance communications. Distance to horizon File Earthbulge.jpg frame R is the radius of the Earth, h is the height of the transmitter exaggerated , d is the line of sight distance Assuming a perfect sphere with no terrain irregularity, the distance to horizon from a high altitude Transmitter station transmitter ie., line of sight can readily be calculated. Let R be the radius of Earth and h be the altitude of a telecommunication station. Line of sight distance d of this station is given by the Pythagorean theorem math d 2 R h 2 R 2 2 cdot R cdot h h 2 math Since the altitude of the station is much less than the radius of the Earth, math d approx sqrt 2 cdot R cdot h math The mean radius of the earth is about convert 6378 km . See Earth radius Using the same units for both the altitude of the station and the radius of the earth, math d approx sqrt 2 cdot 6378 cdot h approx 112.9 cdot sqrt cdot h math If the height is given in m. and distance in km . math d approx 3.57 cdot sqrt h math If the height is given in ft. and the distance in miles , math d approx 1.23 cdot sqrt h math The actual service range The above analysis doesn t take the effect of atmosphere on the propagation path of the RF signals into consideration. In fact, the RF signals don t propagate in straight lines. Because of the canalizing effects of atmospheric layers, the propagation paths are somewhat curved. Thus, the maximum service range of the station, is not equal to the line of sight ... sqrt 2 cdot k cdot R cdot h math k 1 means geometrically reduced bulge and a longer service range ... in Earth radius and an increase of Earth bulge. ref This analysis is for high altitude to sea level ... External links http wiki.answers.com Q What is the formula to calculate earth bulge http www.wireless ... bulges http www.scribd.com doc 52528816 64 The Earth bulge Analogue TV transmitter topics Category ... more details
One source article date August 2008 An equatorial bulge is a difference between the equatorial and polar diameter s of a planet, due to the centrifugal force of its rotation . A rotating body tends to form an oblate spheroid rather than a sphere . The Earth has an equatorial bulge of convert 42.72 km mi abbr on that is, its diameter measured across the equatorial plane convert 12756.28 km mi abbr on is 42.72 km more than that measured between the poles convert 12713.56 km mi abbr on in other words, anyone standing at sea level on either pole may be 21.36 km closer to the Inner core earth s centrepoint than if standing at sea level on the equator. To get the Earth s mean radius, these two radii must be averaged. cn date October 2011 An often cited result of Earth s equatorial bulge is that the highest point on Earth, measured from the center outwards, is the peak of Mount Chimborazo volcano Chimborazo in Ecuador, rather than Mount Everest . But since the ocean, like the Earth and the atmosphere, bulges, Chimborazo is not as high above sea level as Everest is. The equilibrium as a balance of energies Image Equatorial bulge model.png frame right Fixed to the vertical rod is a spring metal band. When stationary the spring metal band is circular in shape. The top of the metal ... the solid parts of the Earth are ductile , the Earth s equatorial bulge has been decreasing in step ... spheroid2.gif frame right The forces at play in the case of a planet with an equatorial bulge due ... shape will have an equatorial bulge matching its rotation rate. Saturn is the planet with the largest equatorial bulge in our solar system 11808 km, 7337 miles . The following is a table of the equatorial bulge of some major celestial bodies of our solar system class wikitable Body Equatorial diameter Polar diameter Equatorial bulge Flattening ratio Earth 12,756.28 km 12,713.56 km ... initiative DEFAULTSORT Equatorial Bulge Category Planets Category Geodesy Category Topography ... more details
Other uses Infobox military conflict conflict Battle of the Bulge partof World War II image File 117th ... the town of St. Vith during the Battle of the Bulge in January 1945. date 16 December 1944 25 January ... Dead Civilians in the Battle of the Bulge publisher University Press of Kentucky isbn 0 8131 2352 6 page xiv ref campaignbox Campaignbox Battle of the Bulge Campaignbox Western Europe 1944 1945 ... the swelling of the Bulge as the German offensive progressed creating the nose like Salients, re ... movements The Battle of the Bulge also known as the Ardennes Offensive and the Von Rundstedt Offensive ... press as the Battle of the Bulge. ref name Cirillo 2003 4 Harvnb Cirillo 2003 p 4 ref ... of the Bulge. The German offensive was supported by several subordinate operations known as Operation ... Battle of the Bulge accessdate 20 February 2010 ref Once accomplished, Hitler could fully concentrate ... dlink24591 ref name MacDonald618 Harvnb MacDonald 1998 p 618 ref the Battle of the Bulge was the largest ... Clifford Van Auken remembers Battle of the Bulge, World War II s bloodiest U.S. battle work The Flint ... Experience The Battle of the Bulge medium Videotape ref ref Citation first Stephen E. last Ambrose ... Offensive See also Battle of the Bulge order of battle Wikisource The Ardennes Battle of the Bulge Chapter II Planning the Counteroffensive Wikisource The Ardennes Battle of the Bulge Chapter III Troops and Terrain Wikisource The Ardennes Battle of the Bulge Chapter IV Preparations File German Wacht ... . Attack on the northern shoulder Wikisource The Ardennes Battle of the Bulge Chapter V The Sixth ... of the Bulge, deflecting the strongest armored units of the German advance. ref Harvnb MacDonald ... the main effort. ref Harvnb Cole 1964 Page needed date October 2010 ref Image Battle of the Bulge ... hofendefense.aspx title Why the Bulge Didn t Break Green Troops Grew Up Fast to Become Heroes of Hofen ... B. title A Time For Trumpets The Untold Story of the Battle of the Bulge authorlink Charles B. MacDonald ... more details
In mathematics there are four different but related brackets named after Albert Nijenhuis , giving Lie superalgebra structures to various spaces of tensors Fr licher Nijenhuis bracket defined on vector valued forms, extending the Lie bracket of vector fields Nijenhuis Richardson bracket defined on vector valued forms this has a different degree to the Fr licher Nijenhuis bracket Schouten Nijenhuis bracket 2 versions, defined on either symmetric or antisymmetric multivectors disambig Category Differential geometry ... more details
Refimprove date July 2007 In theoretical physics , the Peierls bracket is an equivalent description of the Poisson bracket . It directly follows from the action physics action and does not require the canonical coordinate s and their canonical momenta to be defined in advance. The bracket math A,B math is defined as math D A B D B A math , as the difference between some kind of action of one quantity on the other, minus the flipped term. In quantum mechanics , the Peierls bracket becomes a commutator i.e. a Lie bracket of vector fields Lie bracket . Category Theoretical physics physics stub interwiki References cz references Peierls, R. The Commutation Laws of Relativistic Field Theory, Proc. R. Soc. Lond. A August 21, 1952 214 1117 143 157. ... more details
Unreferenced date December 2009 Image Bracket.GIF thumb 250px Bracket turn diagram 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 3 turn 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. Figure skating DEFAULTSORT Bracket Turn Category Figure skating elements Figure skating stub ... more details
The Bailin bracket is a piece of grip job grip equipment used in film production . The Bailin bracket is a slotted metal device, with a 1 1 8 junior pin on one end. It is meant to support a 2x4 or 2x6 piece of wood from any junior pin receiving device. External links http www.msegrip.com mse.php?show product&cat 284&products ID 24107 Balin Bracket Category Film production filming stub ... more details
Lie bracket can refer to A bilinear binary operation the commutator defined on elements of a Lie algebra Lie bracket of vector fields mathdab Long comment to avoid being listed on short pages de Lie Klammer es Corchete de Lie nl Lie haak pl Nawias Liego ... more details
Income bracket is the bandwith from a basic wage towards all possible salary components and is used to give employees a career perspective and to give the employer the possibility to reward achievements. See also Tax bracket Salary packaging Employment Category Human resource management Category Income Category Recruitment Category Employment compensation de Gehaltsband ... more details
In the mathematics mathematical field of knot theory , the bracket polynomial also known as the Kauffman bracket is a polynomial invariant of framed link s. Although it is not an invariant of knots or links as it is not invariant under type I Reidemeister move s , a suitably normalized version yields the famous knot invariant called the Jones polynomial . The bracket polynomial plays an important role in unifying the Jones polynomial with other quantum invariant s. In particular, Kauffman s interpretation of the Jones polynomial allows generalization to invariants of 3 manifold s. The bracket polynomial was discovered by Louis Kauffman in 1987. Definition The bracket polynomial of any unoriented link diagram L , denoted L , is characterized by the three rules O 1, where O is the standard diagram of the unknot Image kauffman bracket2.png 275px math langle O cup L rangle A 2 A 2 langle L rangle math The pictures in the second rule represent brackets of the link diagrams which differ inside a disc as shown but are identical outside. The third rule means that adding a circle disjoint from the rest of the diagram multiplies the bracket of the remaining diagram by A sup 2 sup A sup 2 sup . References Louis H. Kauffman, State models and the Jones polynomial. Topology 26 1987 , no. 3, 395 407. introduces the bracket polynomial External links http mathworld.wolfram.com BracketPolynomial.html mathworld Category Knot theory Category Polynomials knottheory stub ja ru ... more details
refimprove date June 2007 File Bracket Clock by Daniel Quare.jpg thumb Bracket Clock circa 1700 by Daniel Quare on display at the Walker Art Gallery , Liverpool A bracket clock is a style of antique portable table clock made in the 17th and 18th centuries. ref cite web last first authorlink coauthors title Bracket Clock work Clocks and Watches, Encyclopedia of Antiques publisher Old and Sold Antique Marketplace date url http www.oldandsold.com articles02 clocks b.shtml doi accessdate 2008 07 08 ref 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. ref cite book last Milham first Willis I. title Time and Timekeepers year 1945 publisher MacMillan location New York isbn 0780800087 page 83 ref 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 repeater horology repeater s, that is striking clock s which could be made to repeat the striking of the hours at the pull of a lever or cord. This feature was used before artificial illumination to tell what time it was at night. However, because they were often used in bedrooms where the hourly striking of the bell could disturb sleepers, they either had a knob to silence the hourly striking, or did not strike on the hour at all but only at the pull of the cord. These were called silent pull repeaters . See also Lantern clock Carriage clock Footnotes ... more details
Image Sagami Temple 2600px.jpg thumb 180px Colourful dougong bracket supporting a structure at Sagami ji , Japan Image Bracket2 PSF .jpg 120px thumb Bracket for a shelf or hanging items. see also Corbel A bracket is an Category Architectural elements architectural element and structural member. They can be made of wood, stone, or metal that projects from a wall to support or carry weight. ref cite web url http www.mascotmetal.com brass brackets.html title Brass,Bronze,Iron Hand rail Brackets accessdate 2008 06 19 ref Uses Brackets can support a balcony , statue, the spring of an arch , a beam or pergola , a window box , a shelf storage shelf . A bracket is also defined as a decorative or weight bearing structural element, two sides of which form a right angle with one side against a wall and the other under a projecting surface, such as an eave or a bay window. ref cite web url http www.thefreedictionary.com bracket title Bracket publisher Free Dictionary accessdate 2007 04 10 ref Brackets are often in the form of scrolls, and can be carved, cast, or molded. They can be entirely ornamental and serve no supporting purpose. Among these types of brackets is the corbel . ref cite web url http www.britannica.com eb article 9016097 bracket title bracket publisher britannica.com accessdate 2007 04 10 ref ref cite book first John C. last Poppeliers authorlink coauthors year 1983 title What Style is it? edition publisher John Wiley & Sons location New York pages p 106 id ISBN 0471144347 ref In adjustable shelving systems, the bracket may be in two parts, with the load bearing horizontal support fitting into a wall mounted slotted vertical metal strip. Brackets also are an element in the systems used to mount modern facade cladding systems onto the outside of contemporary buildings, as well as interior panels. See also Dougong Corbel Notes references commonscat Corbels Brackets External links element arch stub Category Architectural elements fr Tasseau io Traverseto it Beccatello ... more details
In a field of mathematics known as differential geometry , the Courant bracket is a generalization of the Lie derivative Lie bracket from an operation on the tangent bundle to an operation on the direct ... with his advisor Alan Weinstein . The twisted version of the Courant bracket was introduced in 2001 ... of the p 1 Courant bracket plays a central role in the field of generalized complex geometry , introduced by Nigel Hitchin in 2002. Closure under the Courant bracket is the integrability condition ... sum of the tangent bundle and the bundle of p forms. The Courant bracket of X and Y is defined to be math ... bracket is antisymmetric but it does not satisfy the Jacobi identity for p greater than zero. The Jacobi identity However, at least in the case p 1 , the Jacobiator , which measures a bracket ... which plays the role of the Nijenhuis tensor in generalized complex geometry. The Courant bracket is the antisymmetrization of the Courant bracket Dorfman bracket Dorfman bracket , which does satisfy a kind of Jacobi identity. Symmetries Like the Lie bracket, the Courant bracket is invariant under ... mathbf T math of M is the bundle of differential one forms. In the case p 1 the Courant bracket maps ... under the Courant bracket. Dirac structures include as special cases symplectic geometry symplectic .... Dorfman bracket In 1987 Irene Dorfman introduced the Dorfman bracket , sub D sub , which like the Courant bracket provides an integrability condition for Dirac structures. It is defined by math A,B D A,B d langle A,B rangle math . The Dorfman bracket is not antisymmetric, but it is often easier to calculate with than the Courant bracket because it satisfies a Leibniz rule which resembles the Jacobi identity math A, B,C D D A,B D ,C D B, A,C D D. math Courant algebroid The Courant bracket does ... bracket Definition and properties The Courant bracket may be twisted by a p 2 form H , by adding ... the twisted Courant bracket still defines a Courant algebroid. In string theory , H is interpreted ... more details
In physics , the Moyal bracket is the suitably normalized antisymmetrization of the phase space Moyal product star product . The Moyal Bracket was developed in about 1940 by Jos Enrique Moyal , but Moyal only succeeded in publishing his work in 1949 after a lengthy dispute with Dirac. ref Jos Enrique Moyal J.E. Moyal , Quantum mechanics as a statistical theory, Proceedings of the Cambridge Philosophical Society , 45 1949 pp. 99&ndash 124. doi 10.1017 S0305004100000487 ref ref cite web url http ... 460. doi 10.1016 S0031 8914 46 80059 4 ref The Moyal bracket is a way of describing the commutator ... theory deformation of the phase space Poisson bracket , the deformation parameter being the reduced Planck constant . Thus, its group contraction 0 yields the Poisson bracket Lie algebra. Up to formal equivalence, the Moyal Bracket is the unique one parameter Lie algebraic deformation of the Poisson bracket. Its algebraic isomorphism to the algebra of commutators bypasses the negative ... bracket, a question implicitly raised by Paul Dirac in his 1926 doctoral thesis the method of classical ... map correspondence cf. Weyl quantization , the Moyal bracket reads, math begin align ... space functions, and f , g is their Poisson bracket. More specifically, this equals math f,g frac 2 ... leftarrow partial p stackrel rightarrow partial x right g x,p . math Sometimes the Moyal bracket is referred to as the Sine bracket . E.g., a popular Fourier integral representation for it, introduced ... Moyal bracket such as the one illustrated here for the Weyl map . All such Moyal brackets ... Scientific , Singapore, 2005 ISBN 978 981 238 384 6 . ref The Moyal bracket specifies the eponymous ... bracket for quantum systems with Second class constraints second class constraints involves an operation ... Faessler, http arxiv.org abs hep th 0507049 Quantum deformation of the Dirac bracket , Phys. Rev. D73 ... bracket . See also Weyl quantization Wigner quasi probability distribution Poisson bracket References ... more details
Infobox album Name Up the Bracket Type studio Artist The Libertines Cover Upthebracket.jpg Released 14 October 2002 Recorded August 2002, RAK, London Genre Garage rock , post punk revival , punk rock Length 39 28 Label Rough Trade Records Rough Trade Producer Mick Jones The Clash Mick Jones This album Up The Bracket br 2002 Next album The Libertines album The Libertines br 2004 Misc Singles Name Up the Bracket Type studio single 1 Up the Bracket song Up the Bracket single 1 date 30 September 2002 single 2 Time for Heroes single 2 date 13 January 2003 Up the Bracket is the debut album by British rock music rock band The Libertines , released in October 2002. It reached 35 in the UK Albums Chart. The album was re released on 8 September 2003 with an additional track, What a Waster and DVD featuring the promotional videos for the singles Up the Bracket , Time for Heroes and I Get Along . The album was the start of a revival for the British rock scene. In April 2008, BBC Radio 1 DJ Zane Lowe ... and has quickly become considered one of the greatest albums of the 2000s. Name The title Up the Bracket ... 2006 08 29 ref The line Up the Bracket is also a slang term for snorting cocaine. Citation needed date ... 8.5 10 ref http pitchfork.com reviews albums 4769 up the bracket Pitchfork Media review ref rev4 ... the bracket Rolling Stone review ref rev7 Spin magazine Spin rev7score rating 4.5 5 ref http www.spin.com reviews libertines bracket rough trade Spin review ref rev8 Sputnikmusic rev8score Rating 5 5 ... by DASHBot Online magazine Online music magazine Pitchfork Media placed Up the Bracket at number 138 ... 2 40 Boys in the Band 3 42 Radio America 3 44 Up the Bracket song Up the Bracket 2 40 Tell the King ... align left US Top Heatseekers align center 13 Footnotes reflist The Libertines DEFAULTSORT Up The Bracket ... ca Up The Bracket es Up the Bracket fr Up the Bracket it Up the Bracket nl Up the Bracket ja pl Up the Bracket pt Up the Bracket sv Up the Bracket ... more details
Image BB UN73.jpg thumb right 250px A square taper cartridge bottom bracket. The bottom bracket on a bicycle ... to the cranks. The bottom bracket fits inside the Bicycle frame Bottom bracket shell bottom bracket ... on whether the axle spindle is stationary, as that in a hub, or rotates, as that in a bottom bracket ... four times in his bottom bracket glossary entry. ref name Sheldon2 cite web url http sheldonbrown.com gloss bo z.html bottom title Sheldon Brown s Bicycle Glossary Bottom bracket accessdate ... ref This article uses spindle throughout for consistency. An old American term for bottom bracket .... Bottom bracket types Three piece In typical modern bikes, the bottom bracket spindle is separate ... bearing Many modern bicycles use what is called a cartridge bottom bracket instead. Sealed cartridge ... in to the bottom bracket shell from the drive side and a support cup often made of light alloy or plastic ... bearing units. Either arrangement makes servicing the bottom bracket a simple matter of removing the old cartridge from the bottom bracket shell, and installing a new one in its place. Cartridge bottom ... Ashtabula With a one piece also called Ashtabula crank and bottom bracket, the spindle and crank arms are a single piece. The bottom bracket shell is large to accommodate removal of this S shaped crank. Bearing cups are pressed into the bottom bracket shell. The crank holds the cones, facing in adjustment ... apart by a retainer. accessdate 2010 03 26 ref Thompson The Thompson bottom bracket uses adjustable spindle cones and cups pressed into the bottom bracket shell like the Ashtabula bottom bracket. Unlike the Ashtabula crank, the non drive side crank is removable, allowing for a smaller bottom bracket shell. Frames with either Italian or English bottom bracket shell diameters independent of threading ... an integrated bottom bracket with outboard bearings. This is an attempt to address several issues ... allow for a large diameter hence stiff and hollow hence light bottom bracket spindle. They also ... more details
In mathematics and classical mechanics , the Poisson bracket is an important binary operation in Hamiltonian ... evolution of a Hamiltonian dynamical system . The Poisson bracket also distinguishes a certain class ... position momentum variables, that satisfy canonical Poisson bracket relations. Note that the set of possible ... sense the Poisson bracket is used to define a Poisson algebra , of which the algebra of functions ... bracket takes the form math f,g sum i 1 N left frac partial f partial q i frac partial g partial ... The Hamilton s equations of motion have an equivalent expression in terms of the Poisson bracket ... t in the solution to Hamilton s equations, q t exp t H , q 0 , p t exp t H , p 0 , can serve as the bracket ... of motion will commute with the Hamiltonian under the Poisson bracket. Suppose some function ... i w d i v omega i w i v d omega. math Here v, w denotes the Lie derivative Lie bracket on smooth vector ... above implies that the Lie bracket of two coclosed vector fields is always a coexact vector field ... are coclosed so the Lie bracket is closed both on the space of coclosed vector fields and on the subspace ... of M . We therefore define the Poisson bracket on M , , a bilinear operation on differentiable function ... bracket is ensured by the axioms of the exterior calculus and the condition d 0. Because the map ..., and the Poisson bracket written simply math f,g tilde omega df, dg math . The Poisson bracket on smooth functions corresponds to the Lie bracket on coexact vector fields and inherits its properties. It therefore satisfies the Jacobi identity math f, g,h g, h,f h, f,g 0. math The Poisson bracket math ... vector field, namely, their Lie bracket. The parallel role of the Poisson bracket is apparent from a rearrangement of the Jacobi identity math f, g,h g, f,h f,g ,h . math If the Poisson bracket of f ... the Poisson bracket with respect to f and with respect to g commute. Lie algebra The Poisson bracket ... manifold an infinite dimensional Lie algebra with the Poisson bracket acting as the Lie algebra ... more details
In mathematics , various typographical forms of bracket s are frequently used in mathematical notation such as parentheses , square brackets , curly brackets , and angle brackets math langle , , rangle math . In the typical use, a mathematical expression is enclosed between an opening bracket and a matching closing bracket . 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. Additionally, there are several specific uses and meanings for the various brackets. Historically, other notations, such as the vinculum symbol vinculum , were similarly used for grouping in present day use, these notations have all specific meanings. The earliest ... of dedicated characters U 2329 & x2329 and U 232A & x232A left right pointing angle bracket which ... publisher unicode.org ref U 27E8 & x27e8 and U 27E9 & x27e9 mathematical left right angle bracket U 3008 & x3008 and U 3009 & x3009 left right angle bracket in Chinese punctuation In LaTeX the markup ..., , are used to specify the order of operations , terms inside the bracket are evaluated first, hence ... used for this. The endpoint adjoining the square bracket is known as closed , while the endpoint ... bracket and commutator In group theory and ring theory , square brackets are used to denote the commutator ... anticommutator where a , b is defined as ab ba . The Lie bracket of a Lie algebra is a binary ... as a Lie bracket, every associative algebra can be turned into a Lie algebra. There are many different forms of Lie bracket , in particular the Lie derivative and the Jacobi Lie bracket . Floor .... Notes references See also Iverson bracket Algebraic bracket Binomial coefficient Poisson bracketBracket polynomial Pochhammer symbol Fr licher Nijenhuis bracket Nijenhuis Richardson bracket Schouten Nijenhuis bracket Dyck language Category Arithmetic Category Mathematical notation ... more details
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