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Alternating sign matrix





Encyclopedia results for Alternating sign matrix

  1. Alternating sign matrix

    In mathematics , an alternating sign matrix is a square matrix of 0s, 1s, and &minus 1s such that the sum of each row and column is 1 and the nonzero entries in each row and column alternate in sign. These matrices arise naturally when using Dodgson condensation to compute a determinant. They are also closely related to the six vertex model with domain wall boundary conditions from statistical mechanics . They were first defined by William Mills, David P. Robbins David Robbins , and Howard Rumsey in the former context. For example, the permutation matrices are alternating sign matrices, as is math begin bmatrix 0&0&1&0 1&0&0&0 0&1& 1&1 0&0&1&0 end bmatrix . math The alternating sign matrix conjecture states that the number of math n times n math alternating sign matrices is math prod k 0 n 1 frac 3k 1 n k frac 1 4 7 cdots 3n 2 n n 1 cdots 2n 1 . math This conjecture was first proved by Doron Zeilberger in 1992. In 1995, Greg Kuperberg gave a short proof based on the Yang Baxter equation for the six vertex model with domain wall boundary conditions, that uses a http www.mendeley.com c 29813067 Izergin 1992 Determinant formula for the six vertex model determinant due to Anatoli Izergin, which solves http projecteuclid.org DPubS?service UI&version 1.0&verb Display&handle euclid.cmp 1103921777 ... notices 199906 fea bressoud.pdf How the alternating sign matrix conjecture was solved , Notices ... front.math.ucdavis.edu math.CO 9712207 Another proof of the alternating sign matrix conjecture , International ... Proof of the alternating sign matrix conjecture , http www.combinatorics.org Electronic ... of the refined alternating sign matrix conjecture , New York Journal of Mathematics 2 1996 , 59 68. External links http mathworld.wolfram.com AlternatingSignMatrix.html Alternating sign matrix entry ..., William H., Robbins, David P., and Rumsey, Howard, Jr., Alternating sign matrices and descending ... conditions and symmetry classes of alternating sign matrices , Theor. Math. Phys. , 142 2005 , 237 ...   more details



  1. Higher spin alternating sign matrix

    Unreferenced date November 2009 In mathematics , a higher spin alternating sign matrix is a generalisation of the alternating sign matrix ASM , where the columns and rows sum to an integer r the spin rather than simply summing to 1 as in the usual alternating sign matrix definition. HSASMs are square matrices whose elements may be integers in the range &minus r to r . When traversing any row or column of an ASM or HSASM, the partial sum of its entries must always be non negative. ref name ecomjournal http www.combinatorics.org Volume 14 PDF v14i1r83.pdf R. E. Behrend and V. A. Knight, Higher Spin Alternating Sign Matrices , The Electronic Journal of Combinatorics , 14 2007 , R83 ref High spin ASMs have found application in statistical mechanics and physics , where they have been found to represent symmetry group s in ice crystal formation. Some typical examples of HSASMs are shown below math begin pmatrix 0 & 0 & 2 & 0 0 & 2 & 1 & 1 2 & 1 & 2 & 1 0 & 1 & 1 & 2 end pmatrix quad begin pmatrix 0 & 0 & 2 & 0&0 0 & 1 & 1 & 2 &0 2 & 1 & 1 & 0 &2 0 & 0 & 2 & 0 &0 0&2&0&0&0 end pmatrix quad begin pmatrix 0 & 0 & 0 & 2 0 & 2 & 0 & 0 2 & 2 & 2 & 0 0 & 2 & 0 & 0 end pmatrix quad begin pmatrix 0 & 2 & 0 & 0 0 & 0 & 0 & 2 2 & 0 & 0 & 0 0 & 0 & 2 & 0 end pmatrix . math The set of HSASMs is a superset of the ASMs. The extreme points of the convex hull of the set of r spin HSASMs are themselves integer multiples of the usual ASMs. See also Sudoku references DEFAULTSORT Higher Spin Alternating Sign Matrix Category Matrices Category Statistical mechanics Category Enumerative combinatorics combin stub ...   more details



  1. Alternating

    Alternating may refer to In mathematics alternating form alternating group alternating series alternating knot alternating map In electronics alternating current See also Alternate bass Alternative disambiguation disambig ...   more details



  1. Alternating polynomial

    ,x n,y 1, dots,y t math is said to be alternating in math x 1, dots,x n math if it changes sign if one ... The basic alternating polynomial is the Vandermonde polynomial math v n prod 1 le i j le n x j x i . math This is clearly alternating, as switching two variables changes the sign of one term ... math x 3 x 1 math with math x 3 x 2 math , but does not change their sign. ref The alternating ... are the trivial representation, and the alternating polynomials are the sign representation. Formally, the scalar span of any symmetric resp., alternating polynomial is a trivial resp., sign representation ...In algebra, an alternating polynomial is a polynomial math f x 1, dots,x n math such that if one switches any two of the variables, the polynomial changes sign math f x 1, dots,x j, dots,x i, dots,x n ... changes in value by the sign of a permutation sign of the permutation math f left x sigma 1 , dots ... and alternating polynomials in the same variables math x 1, dots,x n math behave thus the product of two symmetric polynomials is symmetric, the product of a symmetric polynomial and an alternating polynomial is alternating, and the product of two alternating polynomials is symmetric. This is exactly the addition table for parity mathematics parity , with symmetric corresponding to even and alternating corresponding to odd . Thus, the direct sum of the spaces of symmetric and alternating ... are the even part, and the alternating polynomials are the odd part. This grading is unrelated to the grading of polynomials by degree of a polynomial degree . In particular, alternating polynomials ... ring mathematics ring is 2, there is no difference between the two concepts the alternating ... s math where math s math is symmetric. This is because math v n math is a factor of every alternating polynomial math x j x i math is a factor of every alternating polynomial, as if math x i x j math ... , math so math x j x i math is a factor , and thus math v n math is a factor. an alternating polynomial ...   more details



  1. Alternating Currents

    Alternating Currents may refer to Alternating Currents collection , a collection of science fiction stories by Frederik Pohl Alternating Currents album Alternating Currents album , an album by Spyro Gyra Alternating current dab ...   more details



  1. Alternating factorial

    In mathematics , an alternating factorial is the absolute value of the alternating sum of the first n factorial s. This is the same as their sum, with the odd indexed factorials multiplied by 1 number &minus 1 if n is even, and the even indexed factorials multiplied by &minus 1 if n is odd, resulting in an alternation of signs of the summands or alternation of addition and subtraction operators, if preferred . To put it algebraically, math mathrm af n sum i 1 n 1 n i i math or with the recurrence relation math mathrm af n n mathrm af n 1 math in which af 1 1. The first few alternating factorials are 1, 1 number 1 , 5 number 5 , 19 number 19 , 101 number 101 , 619, 4421, 35899, 326981, 3301819, 36614981, 442386619, 5784634181, 81393657019 OEIS id A005165 For example, the third alternating factorial is 1 &minus 2 3 . The fourth alternating factorial is &minus 1 2 3 4 19. Regardless of the parity of n , the last n sup th sup summand, n , is given a positive sign, the n 1 sup th sup summand is given a negative sign, and the signs of the lower indexed summands are alternated accordingly. This pattern of alternation ensures the resulting sums are all positive integers. Changing the rule so that either the odd or even indexed summands are given negative signs regardless of the parity of n changes the signs of the resulting sums but not their absolute values. Miodrag Zivkovi proved in 1999 that there are only a finite number of alternating factorials that are also prime number s, since 3612703 divides af 3612702 and therefore divides af n for all n &ge 3612702. As of 2006 , the known primes and probable prime s are af n for OEIS id A001272 n 3, 4, 5, 6, 7, 8, 10, 15, 19, 41, 59, 61, 105, 160, 661, 2653, 3069, 3943, 4053, 4998, 8275, 9158, 11164 Only the values up to n 661 have been proved prime in 2006. af 661 is approximately 7.818097272875 × 10 sup 1578 sup . References MathWorld urlname AlternatingFactorial title Alternating Factorial Yves Gallot, http perso.wanadoo.fr ...   more details



  1. Alternating knot

    Image Knot 8sb19.svg right thumb 250px One of three non alternating knots with Crossing number knot theory crossing number 8 In knot theory , a knot mathematics link diagram is alternating if the crossings alternate under, over, under, over, as you travel along each component of the link. A link is alternating if it has an alternating diagram. Many of the knots with crossing number less than 10 are alternating. This fact and useful properties of alternating knots, such as the Tait conjectures, was what ... or omissions. The simplest non alternating prime knot s have 8 Crossing number knot theory crossings ... of knots that are alternating goes to 0 exponentially quickly. Alternating links end up having an important ... useful and interesting geometric and topological properties. This led Ralph Fox to ask, What is an alternating ... characterize alternating knots. Various geometric and topological information is revealed in an alternating .... The Crossing number knot theory crossing number of a reduced, alternating diagram is the crossing number of the knot. This last is one of the celebrated Tait Conjectures. An alternating knot ... The Tait conjectures are Any reduced knot diagram diagram of an alternating link has the fewest possible Crossing number knot theory crossings . Any two reduced knot diagram diagrams of the same alternating knot mathematics knot have the same writhe . Given any two reduced knot diagram alternating diagrams D sub 1 sub and D sub 2 sub of an oriented, prime alternating link D sub 1 sub may be transformed ... that any prime, non split alternating link is hyperbolic link hyperbolic , i.e. the link complement ... of many alternating links. Marc Lackenby has shown that the volume has upper and lower linear bounds as functions of the number of twist regions of a reduced, alternating diagram. References reflist ... in alternating knot and link complements . Topology 23 1984 , no. 1, 37 44. Marc Lackenby, The volume of hyperbolic alternating link complements. With an appendix by Ian Agol and Dylan Thurston. Proc ...   more details



  1. Alternating hemiplegia

    Alternating hemiplegia refers to a form of hemiplegia that has an ipsilateral and contralateral presentation in different parts of the body. The disorder is characterized by recurrent episodes of paralysis on one side of the body. ref name NINDS Info Page http www.ninds.nih.gov disorders alternatinghemiplegia alternatinghemiplegia.htm at http www.ninds.nih.gov index.htm . ref This type of syndrome can result from a unilateral lesion in the brainstem affecting both upper motor neurons and lower motor neurons. The muscles that would receive signals from these damaged upper motor neurons result in spastic paralysis. With a lesion in the brainstem, this affects the majority of limb and trunk muscles on the contralateral side due to the upper motor neurons decussation after the brainstem. The cranial nerves and cranial nerve nuclei are also located in the brainstem making them susceptible to damage from a brainstem lesion. Cranial nerves III Oculomotor , VI Abducens , and XII Hypoglossal are most often associated with this syndrome given their close proximity with the pyramidal tract, the location which upper motor neurons are in on their way to the spinal cord. Damages to these structures produce the ipsilateral presentation of paralysis or palsy due to the lack of cranial nerve decussation aside from the trochlear nerve before innervating their target muscles. The paralysis may be brief or it may last for several days, many times the episodes will resolve after sleep. Some common symptoms of alternating hemiplegia are mental impairment, gait and balance difficulties, excessive sweating and changes in body temperature. ref name NINDS Info Page Treatment A drug called flunarizine, which is a calcium channel blocker can help to reduce the severity and the length of attacks of the paralysis. ref name NINDS Info Page References Reflist More specifically, the term can refer to Alternating ... syndrome Lesions of spinal cord and brain DEFAULTSORT Alternating Hemiplegia Category Neurological ...   more details



  1. Alternating series

    Refimprove date January 2010 In mathematics , an alternating series is an infinite series of the form math sum n 0 infty 1 n ,a n, math with a sub n sub 0 or a sub n sub 0 for all  n . Like any series, an alternating Convergent series series converges if and only if the associated sequence of partial sums Limit of a sequence converges . Alternating series test main alternating series test The theorem known as Leibniz Test or the alternating series test tells us that an alternating series will converge if the terms a sub n sub converge to 0 monotonic function monotonically . Proof Suppose the sequence math a n math converges to zero and is monotone decreasing. If math m math is odd and math m n math , we obtain the estimate math S m S n a m 1 math via the following calculation math begin align S m S n & displaystyle left sum k 0 m 1 k ,a k , , sum k 0 n , 1 k ,a k right displaystyle left sum k m 1 n , 1 k ,a k right & a m 1 a m 2 a m 3 a m 4 cdots a n & displaystyle a m 1 a m 2 a m 3 a m 4 a m 5 cdots a n a m 1 end align math Since math a n math is monotonically decreasing, the terms math a m a m 1 math are negative. Thus, we have the final inequality math S m S n a m 1 math . Since math a m 1 math converges to math 0 math , our partial sums math S m math form a cauchy sequence i.e. the series satisfies the cauchy convergence criterion for series and therefore converge. The argument for math m math even is similar. Approximating sums The estimate above does not depend on math ... series math sum n 1 infty frac 1 n , math diverges, while the alternating version math sum n 1 infty frac 1 n 1 n , math converges by the Alternating series Alternating series test alternating series ... In practice, the numerical summation of an alternating series may be sped up using any one of a variety ... Rice integral Series mathematics References MathWorld title Alternating Series urlname AlternatingSeries Notes reflist DEFAULTSORT Alternating Series Category Calculus Category Mathematical series Category ...   more details



  1. Alternating custody

    one source date October 2011 Family law Alternating custody , also known as serial custody, is an arrangement in which children live for long periods of time with one parent, and then spend a similar amount of time with the other parent. ref name Child Custody Made Simple cite book author Webster Watnik title Child Custody Made Simple Understanding the Laws of Child Custody and Child Support url http books.google.com books?id DrFXX8H1NT8C&pg PA17 accessdate 25 September 2011 date April 2003 publisher Single Parent Press isbn 978 0 9649404 3 7 pages 16 38 ref The primary difference between alternating custody and joint custody is that in alternating custody , the parent that currently has the child also retains sole authority over the child children for the duration that the child children are with said parent. ref name Child Custody Made Simple The general reason for using this arrangement rather than a more commonly used arrangement is that the parents tend to live too far away from each other to allow for other arrangements to be feasible. ref name Child Custody Made Simple Other forms of custody Sole custody is an arrangement whereby only one parent has physical and legal custody of a child. Joint custody is an arrangement whereby both parents have legal custody and or both parents have physical custody. Split custody is an arrangement whereby one parent has full time custody over some children, and the other parent has full custody over the other children. Third party custody is an arrangement in whereby the children do not remain with either biological parent, and are placed under the custody of a third person. Bird s nest custody is an arrangement whereby the parents go back and forth from a residence in which the child children reside, placing the burden of upheaval and movement on the parents rather than the child children. See also Divorce Family law Family court Legal custody Parens patriae Parenting plan Physical custody Shared parenting Ward of the state ...   more details



  1. Alternating group

    Groups In mathematics , an alternating group is the group mathematics group of even permutation s of a finite set . The alternating group on the set 1,..., n is called the alternating group of degree n , or the alternating group on n letters and denoted by A sub n sub or Alt n . Basic properties For n 1, the group A sub n sub is the commutator subgroup of the symmetric group S sub n sub with Index of a subgroup index 2 and has therefore factorial n 2 elements. It is the kernel algebra kernel of the signature group homomorphism sgn S sub n sub 1, &minus 1 explained under symmetric group . The group A sub n sub is abelian group abelian if and only if n 3 and simple group simple if and only if n 3 or n 5. Note A3 is in fact a simple group of order 3. A1 and A2 are groups of order 1, so not usually called simple, and A4 has a non identity proper normal subgroup so is not simple. A sub 5 sub is the smallest ... they are conjugate in S sub 8 sub . Automorphism group details Automorphisms of the symmetric and alternating ... . Exceptional isomorphisms There are some exceptional isomorphism s between some of the small alternating ...       style vertical align top File Alternating group 4 Cayley table numbers.svg thumb 350px Cayley table of the alternating group A sub 4 sub br Elements The identity, eight Cycles and fixed ...     style vertical align top File Alternating group 4 cycle graph subgroup of S4.svg thumb ... homology of the alternating groups exhibits stabilization, as in stable homotopy theory for sufficiently ... sub Schur multipliers main Covering groups of the alternating and symmetric groups The Schur multiplier s of the alternating groups A sub n sub in the case where n is at least 5 are the cyclic groups ... raw fsgs.html chapter Chapter 2 Alternating groups chapterurl http www.maths.qmul.ac.uk raw fsgs ... AlternatingGroup title Alternating group mathworld urlname AlternatingGroupGraph title Alternating group graph DEFAULTSORT Alternating Group Category Finite groups Category Permutation groups cs Alternuj c ...   more details



  1. Alternating current

    No footnotes date April 2009 File Types of current by Zureks.svg thumb Alternating Current green curve . The horizontal axis measures time the vertical, current or voltage. In alternating current AC , also ... to mean simply alternating and direct , as when they modify Electric current current or voltage ... frequency radio signals carried on electrical wires are also examples of alternating current ... patents pat373035.pdf US patent 373035 The earliest recorded practical application of alternating ... electrical devices. Ferranti believed in the success of alternating current power distribution early ... attempted to discredit alternating current as too dangerous during the War of Currents . The first commercial power plant in the United States using three phase alternating current was at the Mill ... stations. Alternating current circuit theory developed rapidly in the latter part of the 19th and early 20th century. Notable contributors to the theoretical basis of alternating current calculations ... using alternating current. These lines are located in eastern Utah . However, high voltages also have ... power transmission systems contrast with the more common alternating current systems as a means for the efficient ... section of a uniform wire. An alternating current of any frequency is forced away from the wire s center, toward its outer surface. This is because the acceleration of an electric charge in an alternating ... for reducing radiation loss As written above, an alternating current is made of electric ... dimensions comparable to the wavelength of the alternating current to be transmitted, so they are only ... 0.707 Alternating currents are accompanied or caused by alternating voltages. An AC voltage v can ... External links Alternating Current http www.magnet.fsu.edu education tutorials java ac index.html Alternating Current . Interactive Java tutorial explaining alternating current. National High Magnetic ... Alternating Current Circuits Concepts . HyperPhysics. http www.ndt.net article az mpi alternating current.htm ...   more details



  1. Alternating permutation

    distinguish alternating group In combinatorics combinatorial mathematics , an alternating permutation of the set 1, 2, 3, ..., n is an arrangement of those numbers into an order c sub 1 sub , ..., c sub n sub such that no element c sub i sub is between c sub i   &minus   1 sub and c sub i     1 sub for any value of i and c sub 1 sub < c sub 2 sub . In other words, c sub i sub c sub i   1 sub if i is odd and c sub i sub c sub i   1 sub if i is even. For example, the five alternating permutations of 1, 2, 3, 4 are 1, 3, 2, 4              because              1 3 2 4 1, 4, 2, 3              because              1 4 2 3 2, 3, 1, 4              because              2 3 1 4 2, 4, 1, 3              because              2 4 1 3 3, 4, 1, 2              because              3 4 1 2 This type of permutation was first studied by D sir Andr in the 19th century. ref Jessica Millar, N.J.A. Sloane, Neal E. Young, http arxiv.org abs math 0205218v3 A New Operation on Sequences the Boustrouphedon Transform J. Combinatorial Theory, Series A 76 1 44 54 1996 ref If the condition c sub 1 sub < c sub 2 sub is dropped, so we only require that no element c sub i sub is between c sub i   &minus   1 sub and c sub i     1 sub , then the permutation is called a zigzag permutation . By exchanging ... > c sub 2 sub can be paired uniquely with an alternating permutation. Related integer sequences The determination of the number, A sub n sub , of alternating permutations of the set 1, ..., n is called ... ki kk math See also Boustrophedon transform Fence mathematics , partially ordered sets that have alternating ... sur les permutations altern es. J. Math. 7, 167&ndash 184, 1881. Further reading MathWorld title Alternating ...   more details



  1. Matrix

    union season Matrix sign, a variable message sign on roads in the UK Matrix Chambers , a set of barristers ...wiktionary TOCright Matrix may refer to Science and mathematics Matrix mathematics , a mathematical object generally represented as an array of numbers Matrix calculus , a notation for calculus operations on matrix spaces Identity matrix Similarity matrix , which scores the similarity between two data points A number of bioinformatic related matrices, including Position specific scoring matrix , which represents a pattern or motif in biological sequences Substitution matrix , which estimates the rate ... PAM matrix , or Point Accepted Mutation matrix, used in scoring sequence alignments BLOSUM BLOcks of Amino Acid SUbstitution Matrix , also used in scoring sequence alignments Matrix biology , with numerous ... Extracellular matrix , any material part of a tissue that is not part of any cell Mitochondrial matrix , the inner part of a mitochondrion, where the Krebs cycle takes place Osteon or bone matrix, a form of connective tissue found in bone Nuclear matrix , an insoluble fraction of the cell nucleus Germinal matrix , an embryonic brain tissue Matrix, another term for a bacterial growth medium Matrix archeology , the soil or sediment surrounding a dig site Harris matrix , an archaeological tool used to describe sediment deposition over time Matrix chemical analysis , the discarded portion of a sample used for chemical analysis Matrix geology , the fine grains between larger grains in igneous or sedimentary rocks, or the rock material in which a fossil, gem etc. is embedded Matrix isolation , a continuous solid phase in which particles precipitates, etc. are embedded Metal matrix composite , a type of composite material Technology Multistate Anti Terrorism Information Exchange MATRIX , a database of US Citizens Matrix numismatics , an intermediate into which the design of a coin is engraved Matrix printing , a mold for shaping the letters Dot matrix , a type of printer or display ...   more details



  1. The Matrix

    About the 1999 film the franchise it initiated The Matrix franchise other uses Matrix disambiguation Matrix Infobox film name The Matrix image The Matrix Poster.jpg caption Theatrical release poster director ... The Matrix is a 1999 science fiction film science fiction action film written and directed by The Wachowskis ..., and in Australia on Nowrap April 8 , 1999, and is the first installment in the The Matrix franchise Matrix series of films, comic books, video games, and animation. The film depicts a future in which ... activity are used as an energy source. Upon learning this, computer programmer Neo The Matrix ... words. Please do not add excessive detail to this summary. Computer programmer Neo The Matrix Thomas ... alias Neo. He is restless, and driven to learn the meaning of cryptic references to the Matrix appearing on his computer. An infamous female hacker named Trinity The Matrix Trinity Carrie Anne Moss , confirms that a man named Morpheus The Matrix Morpheus Laurence Fishburne , knows the answers he seeks however, three sinister Agent The Matrix Agents , led by Agent Smith Hugo Weaving , arrest Neo ... about the Matrix. Neo swallows the red pill, and he abruptly finds himself in a liquid filled pod ... heat. The world in which Neo grew up was actually the Matrix, a simulated reality of the world ... crew belong to a group of free humans who unplug others from the Matrix and recruit them to their resistance against the machines. They are able to use their understanding of the Matrix s nature to bend ... control over the Matrix. Neo is trained as a member of the rebellion. A socket in Neo s skull, formerly used by the machines to connect him to the Matrix, allows knowledge to be uploaded directly ... training introduces Neo to the key dangers in the Matrix itself. He learns that fatal injuries suffered ... body of anyone still directly connected to the Matrix, whose purpose is to seek out and eliminate ... as the One , the Agents will be no match for him. The group enters the Matrix and takes Neo ...   more details



  1. The Sign

    The Sign can refer to An alternate name for the album Happy Nation , by the Swedish dance pop group Ace of Base The Sign song The Sign song , a 1993 hit from this album The Sign band , a rock group disambig it The Sign ...   more details



  1. Sign

    Unreferenced date March 2008 distinguish sine Other uses selfref For how to sign your posts on Wikipedia talk pages, see Wikipedia Signatures . File Biohazard.svg thumb This biohazard sign is a completely conventional symbol with no inherent relationship to what it represents. A sign is something that implies a connection between itself and its object. A natural sign bears a causal relation to its object for instance, thunder is a sign of storm. A conventional sign signifies by agreement, as a full ..., as a flag may be a symbol of a nation . The way a sign signifies is called semiosis which is a topic of semiotics and philosophy of language . How a sign is perceived depends upon what is intended ..., not any sign at all There are things that are also signs of other things as natural signs of the physical ... Pedestrian Crossing sign.jpg thumb 300px Pedestrian Crossing sign Thus there are things which may ... value. Types A sign can denote any of the following Image Zodiac woodcut.png left thumb The western ... thumb A routed wooden sign on a trail Sign, in astrology often used to mean the Sun sign Sign or signing, in communication communicating via hand gesture s, such as in sign language . Gang signal Sign, in Tracking hunting also known as Spoor animal trace evidence left on the ground after passage. A signboard . A sign, in common use, is an indication that a previously observed event is about to occur again Sign, in divination and religion an omen , an event or occurrence believed to foretell the future Sign, in ontology and spirituality a coincidence see synchronicity Sign linguistics a combination of a concept and a sound image described by Ferdinand de Saussure In mathematics , the sign mathematics sign of a number tells whether it is positive and negative numbers positive or negative . Also, the sign of a permutation tells whether it is the product of an parity mathematics even or odd ... that a representation of a number has one bit, the sign bit, which denotes whether the number is non ...   more details



  1. Sign-on

    distinguish Login This article is not an appropriate location to add random trivia about the sign on details for every broadcaster from around the world. If you have valid references for such information then you may consider adding it to the article on the individual station. Please do not recompile a list of such information here. Unref date May 2011 Sign on or startup is the term used to describe the beginning of operations for a radio station radio or television station , generally at the start of each day. It is the opposite to a sign off or closedown which generally takes place at the end of the day. Overview Sign ons, like sign offs, vary from country to country, from station to station ... process to their sign off sequence at the close of the day. It is common for sign ons to be followed ... television breakfast show . While both sign ons and sign offs have become less common with the increasing ... sign on typically occurring between 5 00 am and 7 00 am. However, in some countries with more limited broadcast coverage, such as North Korea , sign on may be as late as 5 00 pm. A particular type of AM ... hours, and will therefore run a sign on sequence each day. Sign on sequence The sign on sequence ... be broadcast fifteen to twenty minutes before the actual sign on. A signal to turn on remote transmitter ..., such as the call sign , Transmitter power output transmitter power , broadcast translator translators ... broadcasting religious broadcasters . For example sign ons in Cambodia , Thailand , and Vietnam ... FM frequency , call sign , brand branding , and a clock ident . Generally a station jingle or slogan .... While most of these sign off steps are done as a service to the public, or for advertising ... Wall s site featuring sign offs and sign ons of United States television stations http www.tvclosedownblog.com The Television Close Down And Start Up Blog A blog devoted to sign ons and sign offs from around the world DEFAULTSORT Sign On Category Television terminology ...   more details



  1. At sign

    distinguish2 Enclosed A copy edit date July 2011 Punctuation marks The at sign , also called the ampersat ... English , including at sign , at the rate , at symbol , at mark , commercial at and ampersat ... A, coad de maimu A, monkey tail or arond a round . In Greek language Greek the sign is known as the papaki ... the sign is known as the snabel a literally trunk a , owning to its resemblance to the trunk of an elephant ... sign 5.50 11.00 , comes the accountancy shorthand notation in English people English commercial voucher ... sign, used at the taula de Ariza registry from 1448 , to denote a wheat shipment from Crown of Castile ... Anarchist symbolism Circle A circle A . The at sign has also been used when spelling out Latina ... traditionally when referring to groups of mixed or unknown sex. The at sign is intended to replace ... inclusive at sign would be the Slash punctuation slash sign amigos as and the Anarchist symbolism ... Academia Espa ola disapproves the use of the at sign as a letter. ref http buscon.rae.es dpdI ... language Finnish , it was originally called taksamerkki fee sign or yksikk hinnan merkki unit price sign , but these names are long obsolete and now rarely understood. Nowadays, it is officially ... the at sign or hj , which is a direct translation of at. In Indonesian language Indonesian ... the same sign was used to represent the same measure. In Polish language Polish , it is called ... in its regular size, there is also a Unicode character for a small at sign unichar FE6B Small commercial ... PDF UFE50.pdf Unicode.org ref Depending on the font type this small at sign can have the size of lower ... at dec html . Culture and Art The upsurge of use of the at sign in society has made it one of the more recognizable symbols of the Internet. The Museum of Modern Art went so far as to admit the at sign ... Syrup book Syrup by Max Barry . In roguelikes with ASCII graphics, the at sign is traditionally ... Reflist colwidth 30em External links Wiktionary at sign Commons category At sign http www.lrb.co.uk ...   more details



  1. Alternating direction implicit method

    In numerical analysis , the Alternating Direction Implicit ADI method is a finite difference method for solving Parabolic partial differential equation parabolic and Elliptic partial differential equation elliptic partial differential equations. ref Citation doi 10.1137 0103003 last1 Peaceman first1 D. W. last2 Rachford Jr. first2 H. H. title The numerical solution of parabolic and elliptic differential equations mr 0071874 year 1955 journal Journal of the Society for Industrial and Applied Mathematics volume 3 issue 1 pages 28 41 . ref It is most notably used to solve the problem of heat conduction or solving the diffusion equation in two or more dimensions. It is an example of an operator splitting method. ref Cite book last1 Press first1 WH last2 Teukolsky first2 SA last3 Vetterling first3 WT last4 Flannery first4 BP year 2007 title Numerical Recipes The Art of Scientific Computing edition 3rd publisher Cambridge University Press publication place New York isbn 978 0 521 88068 8 chapter Section 20.3.3. Operator Splitting Methods Generally chapter url http apps.nrbook.com empanel index.html ... matrix algorithm . The method Consider the linear diffusion equation in two dimensions, math partial ... for any math Delta t math . A disadvantage of the Crank Nicolson method is that the matrix in the above equation is band matrix banded with a band width that is generally quite large. This makes ... involved is symmetric matrix symmetric and tridiagonal banded with bandwidth 3 , and is typically solved using tridiagonal matrix algorithm . It can be shown that this method is unconditionally .... first1 Jim title Alternating direction methods for three space variables doi 10.1007 BF01386295 year ... Improved alternating direction implicit method for solving transient three dimensional heat diffusion .... References Reflist External links http www.mth.pdx.edu daescu mth410 510s notes week8.pdf The alternating ... Alternating Direction Implicit Method Category Partial differential equations Category Numerical ...   more details



  1. Alternating tree automata

    In automata theory , an alternating tree automaton is an extension of nondeterministic tree automaton as same as alternating finite automaton extends nondeterministic finite automaton NFA . Category Automata theory comp sci theory stub ...   more details



  1. Two-way alternating

    Two way alternating communications is a term sometimes used to disambiguate the term Duplex telecommunications . In a two way alternating communications channel, each endpoint can either send or receive at any given time, but cannot send and receive at the same time. Two way simultaneous communications lets the endpoints talk and listen simultaneously. Two way alternating communications are sometimes called half duplex, but there may be a fine distinction that two way alternating communications is a property of the communication Communications protocol protocol used between the endpoints, while the underlying communications medium may support either two way alternating or two way simultaneous communications. When the medium is shared for transmitting and receiving, it can only support two way alternating protocols, and the medium may be called physically half duplex. br Category Channel access methods ...   more details



  1. Alternating-time Temporal Logic

    In computer science , Alternating time Temporal Logic , or ATL , is a branching time temporal logic that naturally describes computations of multi agent system and multiplayer game s. ref Proceedings of the 18th Annual IEEE Symposium on Logic in Computer Science by Govert van Drimmelen, IEEE Computer Society Washington, DC, USA ref . It offers selective quantification over program paths that are possible outcomes of games ref Alternating time Temporal Logic by Rajeev Alur, Thomas A. Henzinger, Orna Kupferman, Department of Computer and Information Science, University of Pennsylvania, Philadelphia, PA 19104 ref . ATL uses alternating time formulas to construct model checkers in order to address problems such as receptiveness, realizability, and controllability. See also Computation tree logic Temporal logic Linear temporal logic References reflist DEFAULTSORT Alternating Time Temporal Logic Category Logic in computer science Category Modal logic ...   more details



  1. Alternating Currents (album)

    notability date December 2011 Infobox Album See Wikipedia WikiProject Albums Name Alternating Currents Type studio Artist Spyro Gyra Cover Alternating currents.jpg Released 1985 Recorded Genre Jazz , Jazz fusion fusion Length Label MCA Records MCA Producer Jay Beckenstein , Richard Calandra Last album Access All Areas Spyro Gyra album Access All Areas br 1984 This album Alternating Currents br 1985 Next album Breakout Spyro Gyra album Breakout br 1986 Album ratings rev1 Allmusic rev1score Rating 4 5 ref Allmusic class album id r148013 pure url yes Allmusic review ref Automatically generated by DASHBot Alternating Currents is the ninth album by Spyro Gyra , released in 1985 see 1985 in music . ref Allmusic class album id r148013 pure url yes Allmusic entry for Alternating Currents Retrieved September 2009. ref Track listing Shakedown Jeremy Wall 4 22 Alternating Currents Jay Beckenstein 4 28 Taking the Plunge for Jennifer Beckenstein 4 48 Binky Dream No.6 All Members 4 13 PG Beckenstein 4 15 Heartbeat Wall 4 48 Mardi Gras Dave Samuels 6 04 I Believe In You Tom Schuman 5 31 Sunflurry Schuman 5 01 Personnel Jay Beckenstein Saxophone, Lyricon Tom Schuman Keyboards Richie Morales Drums Kim Stone Bass Julio Fernandez Guitars Dave Samuels Marimba, Vibraphone Gerardo Velez Percussion References Reflist Spyro Gyra Category 1985 albums Category Spyro Gyra albums Category MCA Records albums it Alternating Currents nl Alternating currents ...   more details



  1. Alternating Gradient Synchrotron

    as alternating gradient focusing an idea pioneered on this accelerator References cite book title Inward ... National Laboratory Alternating Gradient Synchrotron web page Category Particle physics facilities Category Brookhaven National Laboratory neutrino detectors particle stub de Alternating Gradient ...   more details




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