In mathematics , the Fareysequence of order n is the sequence of completely reduced vulgar fraction ... , arranged in order of increasing size. Each Fareysequence starts with the value 0, denoted by the fraction ... although some authors omit these terms . A Fareysequence is sometimes called a Farey series mathematics ... new term in a Fareysequence expansion is the mediant mathematics mediant of its neighbours. Farey ... accident that linked Farey s name with these sequences. Properties Sequence length The Fareysequence ... terms in any Fareysequence are known as a Farey pair and have the following properties. If sup a sup sub b sub and sup c sup sub d sub are neighbours in a Fareysequence, with sup a sup sub b sub ... sub and sup c sup sub d sub will be neighbours in the Fareysequence of order max b,d . If sup p sup sub q sub has neighbours sup a sup sub b sub and sup c sup sub d sub in some Fareysequence, with sup ... sub b sub and sup c sup sub d sub are neighbours in a Fareysequence then the first term that appears between them as the order of the Fareysequence is increased is math frac a c b d , math which first appears in the Fareysequence of order b d . Thus the first term to appear between sup 1 sup sub ... 1 sup sub 1 sub , by taking successive mediants. Fractions that appear as neighbours in a Fareysequence ... p sup sub q sub , which first appears in Fareysequence F sub q sub , has continued fraction expansions ... 2, 1 . Ford circles There is an interesting connection between Fareysequence and Ford circle s. For every ... that are neighbours of p q in some Fareysequence. Thus C 2 5 is tangent to C 1 2 , C 1 3 , C ... of the n th Fareysequence, and the k th member of a set of the same number of points, distributed ... function to print the nth Fareysequence, either ascending or descending. if asc a, b, c, d 0, 1, 1 ... of the Mediant and the FareySequence , Docent Press, Boston, 2010 . ISBN 1453810579. External links ... Stern Brocot Tree http oeis.org A005728 FareySequence from http oeis.org The On Line Encyclopedia ... more details
Farey may mean John Farey, Sr. 1766 1826 , English geologist Fareysequence , a mathematical construct named after him John Farey, Jr. 1791 1851 , his son, mechanical engineer Farey, Niger disambig de Farey fr Farey ... more details
John Farey may refer to John Farey, Sr. 1766 1826 , English geologist John Farey, Jr. 1791 1851 , his son, mechanical engineer See also John G. Fary , U.S. representative from Illinois John Farry , Northern Irish singer songwriter hndis Farey, John DEFAULTSORT Farey, John fr John Farey ... more details
sequenceFareysequence Fibonacci number Fibonacci sequence Geometric progression Look and say sequence ...Other uses In mathematics , a sequence is an ordered list of objects or events . Like a Set mathematics ... possibly infinite is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. A sequence is a Discrete mathematics discrete function mathematics function . For example, C, R, Y is a sequence of letters ..., or Infinite set infinite , such as the sequence of all even and odd numbers even ... notions of sequence, but may be excluded depending on the context. Image Cauchy sequence illustration2.svg right thumb 350px An infinite sequence of real numbers in blue . This sequence is neither increasing, nor decreasing, nor convergent, nor Cauchy sequence Cauchy . It is, however, bounded ... of which e.g. , exact sequence are not covered by the notations introduced below. In addition to identifying the elements of a sequence by their position, such as the 3rd element , elements may be given names for convenient referencing. For example a sequence might be written as a sub 1 sub , a sub ... definition of a finite sequence with terms in a set S is a function mathematics function from 1, 2, ..., n to S for some n 0. An infinite sequence in S is a function from 1, 2, ... to S . For example, the sequence of prime numbers 2,3,5,7,11, is the function 1 2 , 2 3 , 3 5 , 4 7 , 5 11 , . A sequence of a finite length n is also called an n tuple n tuple . Finite sequences include the empty sequence ... sequence or two way infinite sequence . An example is the bi infinite sequence of all even integers , 4, 2, 0, 2, 4, 6, 8 . Multiplicative Let A a sequence defined by a function f 1, 2, 3, ... 1, 2, 3, ... , such that a sub i sub f i . The sequence is multiplicative if f xy f x f y for all x , y ... of sequences A subsequence of a given sequence is a sequence formed from the given sequence by deleting ... more details
Infobox musical artist See Wikipedia WikiProject Musicians name The Sequence image caption image size Only for images narrower than 220 pixels background group or band alias origin Columbia, South Carolina Columbia , South Carolina , United States U.S. genre Old school hip hop br Funk years active 1979 1985 label Sugar Hill Records rap Sugar Hill associated acts Spoonie Gee website past members Angie Stone Angie Brown Stone Angie B. br Cheryl Cook Cheryl The Pearl br Gwendolyn Chisolm Blondie The Sequence is a former female old school hip hop trio signed to the Sugar Hill Records rap Sugar Hill label in the early 1980s. The group consisted of Cheryl Cook Cheryl The Pearl , Gwendolyn Chisolm Blondie , and lead singer rapper Angie Stone Angie Brown Stone Angie B. . The group originated from Columbia, South Carolina Columbia , South Carolina as a group of high school cheerleader s. Their most notable single was Funk You Up 1979 , which was the first rap record released by a female group and the second single released by Sugar Hill Records rap Sugar Hill Records . ref name Greenberg1999 Greenberg, Steve Light, Alan ed. 1999 . The VIBE History of Hip Hop . Three Rivers Press. p. 28. ISBN 0609805037 ref Elements of Funk You Up were later used by Dr. Dre for his 1995 single Keep Their Heads Ringin . ref Ego Trip s Book of Rap Lists Book of Rap Lists . 1999. Macmillan Publishers Macmillan ... Hold and later a solo artist. Discography Albums Sugarhill Presents the Sequence 1980 , Sugar Hill Records rap Sugar Hill The Sequence 1982 , Sugar Hill 51 Black Albums The Sequence Party 1983 , Sugar Hill Compilations Funky Sound 1995 , P Vine The Best of the Sequence 1996 , Deep Beats Monster ... The Sequence . Allmusic . External links http www.discogs.com artist Sequence, The Discography DEFAULTSORT Sequence, The Category African American musical groups Category African American rappers Category Female hip hop groups Category Female rappers Category Musical trios Hiphop band stub no The Sequence ... more details
for a mathematical construct, the Fareysequence named after him. Biography He was born at Woburn ... Smith. Fareysequence As well as being remembered by historians of geology, his name is more widely known by the Fareysequence which he noted as a result of his interest in the mathematics of sound Philosophical Magazine , vol. 47, 1816, pp 385 6 . Farey died in London. Subsequently his widow ...File John Farey with QR code.jpg thumb right John Farey in Derby Museum and Art Gallery Derby Museum . The silhouette is by his friend White Watson whilst the QR Code takes you to this article John Farey ... 1830 . Whilst in London they had their first child John Farey, Jr. They later had eight more children ..., 5th Duke of Bedford for his Woburn Abbey Woburn estates. After the decease of the duke, Farey in 1802 ... in order to determine the true succession of the strata and he instructed Farey to accompany him. Farey has remarked that Smith was his Master and Instructor in Mineral Surveying, and his subsequent ... Industrial Revolution by locating new resources of coal and metal ores. Writer Farey was a prolific ... wrongly he wrote the Rees article on Steam. It was actually written by his son John Farey, Jr. In 1809 Farey met William Martin naturalist William Martin who had published work on Derbyshire fossils ... view article 18216, accessed 13 Feb 2011 ref Farey s most famous work is General View ... reflist John Farey, A General View of the Agriculture and Minerals of Derbyshire , Volume ..., 1989. Reprint of 1811 Edition . The introduction contains a list of Farey s writings located to the date of the reprint. A.P. Woolrich, John Farey, Jr. 1791 1851 Engineer and Polymath in History of Technology ... family history and a family tree cite journal author Trevor D. Ford Hugh S. Torrens title A Farey Story the pioneer geologist John Farey 1766 1826 journal Geology Today volume 17 year 2001 issue 2 pages ... 2451.2001.00004.x H. S. Torrens, Farey, John 1766 1826 , Oxford Dictionary of National Biography ... more details
John Farey , Jr. 1791 1851 was a mechanical engineering mechanical engineer . ref Woolrich, A. P., Farey, John, Jr. , in Biographical Dictionary of Civil Engineers , 2002, Vol 1, pp 223 224 ref Biography. Farey was the eldest son of John Farey, Sr. , the geology geologist , and was born at Lambeth , London on March 20, 1791. Details of his education are obscure, but he undertook a systematic study of the manufacturing industry of London between 1804 5. At the age of 14, in 1805 he began making drawings for Rees s Cyclopaedia . Farey was polymathic in his interests and contributed text and drawings to a number of periodicals and encyclopedia encyclopaedias . He worked as a consulting engineer for many well known inventor s of the later Industrial Revolution , and was a witness to a number of parliamentary enquiries, inquests and court cases, and on occasion acted as an arbitrator. He is also remembered as the first English inventor of the Trammel of Archimedes ellipsograph , an instrument used by draughtsmen to inscribe ellipse s. Farey wrote a Treatise on the Steam Engine 1827 which has been described by whom date November 2010 as the finest work on technology published in the industrial revolution. Hey died in Sevenoaks , Kent , on July 17, 1851 and was buried in Highgate Cemetery . References reflist Persondata Metadata see Wikipedia Persondata . name Farey, John, Jr. alternative names short description Engineer date of birth 1791 place of birth London date of death 1851 place of death Sevenoaks DEFAULTSORT Farey, John, Jr. Category 1791 births Category 1851 deaths Category English engineers Category Burials at Highgate Cemetery ... more details
Frederick William Farey Jones originally Frederick William Jones , 21 May 1904 &ndash 18 February 1974 was a United Kingdom British air industry executive and politician who served as Member of Parliament for Watford UK Parliament constituency Watford for nine years. Education Jones was born in Carmarthen and educated at the Queen Elizabeth Grammar School, Carmarthen Queen Elizabeth Grammar School in the town. His higher education was undertaken on the continent of Europe, at Paris , Li ge and Geneva , out of which he obtained the degree of Doctor of Philosophy and also considerable experience in foreign languages he spoke six languages fluently . In 1931 Jones married Lilian Ada Farey, and each of them took the hyphenated surname of Farey Jones. Aviation He went into the aviation business and became involved both with aircraft manufacturers and with airlines both in the United Kingdom and in Europe . As an aviator himself he conducted important survey flights in Europe, in west and north ... League of the British Empire. He established Farey Jones Insurance Ltd, who specialised in insurance for the aviation industry. International co operation In December 1944, Farey Jones was sent ... of International Air Traffic Operators. Politics Farey Jones held right wing views and joined the Conservative ... Farey Jones was adopted for Watford UK Parliament constituency Watford and succeeded in winning the seat ... wing and communist infiltration of the Electrical Trades Union among others. Farey Jones was also known ... , Farey Jones returned to business. He was made a Master of the Worshipful Company of Horners in 1970 ..., The Times , 20 February 1974. External links Hansard contribs mr frederick farey jones Frederick Farey Jones start box s par uk succession box title Member of Parliament for Watford UK Parliament ... Persondata Metadata see Wikipedia Persondata . NAME Farey Jones, Frederick ALTERNATIVE NAMES SHORT ... Farey Jones, Frederick Category 1904 births Category 1974 deaths Category Conservative Party ... more details
An M sequence may refer to Regular sequence algebra Regular sequence , which is an important topic in commutative algebra. A maximum length sequence , which is a type of pseudorandom binary sequence. disambig ... more details
In mathematics , recurrent sequence may refer to A sequence satisfying a recurrence relation A sequence such that any subsequence appears infinitely often, such as the Thue Morse sequence or a Sturmian word mathdab ... more details
wiktionary sequence A sequence is a logically ordered set of elements. Sequence may also refer to Sequence poetry , a medieval Latin poem or its musical setting which became part of the Mass Sequence music , a passage which is successively repeated at different pitches Sequence 1980 short film , 16 minute film directed by David Winning Sequence filming , a series of shots or scenes, edited together in succession Sequence journal Sequence journal , a film journal Sequence game Sequence game , a board and card game distributed by Jax Ltd., Inc. Sequence geology , a succession of geological events Sequence biology , the primary structure of a biopolymer Primary sequence , the sequence of a biological macromolecule Sequencing , determining the primary structure of an unbranched biopolymer DNA sequencing , determining the order of the nucleotide bases in a DNA molecule Sequence medicine S quences , a Quebec film magazine The Sequence , a 1980s all female hip hop funk trio Archaeological sequenceSequence diagram Sequence Diagram , a kind of UML diagram See also Sequencer disambiguation disambig an Seq encia bs Niz vor de Sequenz es Secuencia fr S quence pt Sequ ncia ru uk ... more details
The mathematical term fundamental sequence can refer to In analysis, Cauchy sequence . In discrete mathematics and computer science, Unary coding . In set theory, a fundamental sequence ordinals fundamental sequence for an ordinal is a sequence of ordinals approaching the limit ordinal from below. disambig ... more details
Crossing sequence may refer to Crossing sequence signal , a sound pattern when a train crosses a level crossing Crossing sequence operation , a sequence of safety actions carried out when a train approeches and passes a level crossing Crossing sequence Turing machines disambig ... more details
Leader sequence may refer to Leader sequence mRNA , a sequence of mRNA Leading strand , in DNA replication disambig Long comment to avoid being listed on short pages ... more details
In mathematics, a Sturmian sequence may refer to A Sturmian word a sequence with minimal complexity function A sequence used to determine the number of distinct real roots of a polynomial by Sturm s theorem mathdab ... more details
Unreferenced stub auto yes date December 2009 A sequence in geology refers to a sequence of geological events, processes, or rocks, arranged in chronology chronological order. A rock stratigraphy stratigraphical sequence is a geography geographical , or lithology lithostratigraphic , discrete unit greater than a Group stratigraphy group or supergroup rank, and traceable over large areas of a continent. A stratigraphic sequence is bounded by Unconformity unconformities of inter region al scope, such as in the division of craton s. DEFAULTSORT Sequence Geology Category Stratigraphy Category Geology terminology Geology stub ... more details
Unreferenced stub auto yes date December 2009 A sequence in biology is the one dimensional ordering of monomer s, covalent bond covalently linked within in a biopolymer it is also referred to as the primary structure of the biological macromolecule . See also Protein sequence DNA sequence Self incompatibility in plants List of geneticists Human Genome Project Dot plot bioinformatics Multiplex Ligation dependent Probe Amplification Sequence analysis DEFAULTSORT Sequence Biology Category Molecular biology Biology stub fa fr S quence biologique ... more details
Unreferenced date December 2008 In mathematics , specifically set theory , a tail sequence is an unbounded sequence of contiguous ordinals. Formally, let be a limit ordinal. Then a sequence math s equiv langle s alpha alpha gamma rangle math is a tail sequence in if there exists an such that s is a normal function normal sequence assuming all values in math beta setminus epsilon. math Category Set theory settheory stub ... more details
In mathematics , the characteristic sequence of a given sequence s is a sequence of 1 s and 0 s which tells which elements of s are in some Set mathematics set . Given two sets math A subseteq B math and a sequence s math langle s n n in mathbb N rangle math of elements of math B math , the characteristic sequence of math s math is the sequence math langle c n n in mathbb N rangle math defined so that math c n 1 math if and only if math s n in A math math c n begin cases 0 & s n not in A, 1 & s n in A. end cases math mathlogic stub Category Mathematical logic Category Binary sequences ... more details
Peptide sequence or amino acid sequence is the order in which amino acid residues, connected by peptide bond s, lie in the chain in peptide s and protein s . The sequence is generally reported from the N terminal end containing free amino group to the C terminal end containing free carboxyl group . Peptide sequence is often called protein sequence if it represents the primary structure of a protein . Sequence notation and applications Many peptide sequences have been in sequence database s. These databases may use various notations to describe the peptide sequence. The full names of the amino acids are rarely given instead, Amino acid Table of standard amino acid abbreviations and properties 3 letter or 1 letter abbreviations are usually recorded for conciseness. Several deductions can be made from the sequence itself. Long stretches of hydrophobic residues may indicate transmembrane helix transmembrane helices . These helices may indicate the peptide is a cell receptor . Certain residues indicate a beta sheet area. If full length protein sequence is available, it is possible to estimate the isoelectric point of the protein. Methods for determining the peptide sequence include deduction from DNA sequence, Edman degradation , and mass spectrometry . Techniques in sequence analysis can be applied to learn more about the peptide. These techniques generally consist of comparing the sequence to other sequences from sequence databases. Other sequences may have already been studied and determined to be significant. Findings about these sequences may be applicable to the sequence under investigation. See also Protein Protein sequencing Rosetta home SIMAP External links http www.nslij genetics.org dnacorr A bibliography on features, patterns, correlations in DNA and protein texts Category Protein structure Category Bioinformatics de Aminos uresequenz el es Secuencia de amino cidos eo Aminoacida sinsekvo ko it Sequenza peptidica uk ... more details
In mathematics , the term normal sequence has multiple meanings, depending on the area of specialty. In general, it is a sequence with nice properties. In set theory , a normal function normal sequence is one that is continuous function set theory continuous and strictly increasing . In probability theory , normal sequence may be used synonymously with normal number . References Thomas Jech . Set Theory , 3rd millennium ed., 2002, Springer Monographs in Mathematics,Springer, ISBN 3 540 44085 2 disambig ... more details
In mathematics, a polyphase sequence is a sequence whose terms are complex number complex root of unity roots of unity math a n e i frac 2 pi q x n , math where x sub n sub is an integer . Polyphase sequences is an important class of sequences and play important roles in synchronizing sequence design. References Pingzhi Fan and Michael Darnell, Sequence Design for Communications Applications , 1996 Category Sequences and series ... more details
Unreferenced date December 2009 In film , a sequence is a series of Scene filming scenes which form a distinct narrative unit, usually connected either by unity of location or unity of time . For example a heist film might include an extended recruitment sequence in which the leader of the gang collects together the conspirators, a robbery sequence, an escape sequence, and so on. Each of these sequences might further contain sub sequences for example the robbery sequence might consist of an entry sequence, a safe cracking sequence, and so on. The sequence is one of a hierarchy of structural units used to describe the structure of films in varying degrees of granularity. Analysed this way, a film is composed of one or more Act theater acts acts include one or more sequences sequences comprise one or more scenes and scenes may be thought of as being built out of Shot filming shots if one is thinking visually or beats if one is thinking in narrative terms . The sequence paradigm of screenwriting was developed by Frank Daniel . See also Act structure DEFAULTSORT Sequence Filmmaking Category Film scenes Category Film and video terminology ca Seq ncia cinema de Sequenz Film fa fr S quence cin ma gl Secuencia f lmica ko he nl Sequens filmtechniek pt Sequ ncia cinema sv Sekvens film ... more details
The Sauk sequence was the earliest of the six cratonic sequence s that have occurred during the Phanerozoic followed by the Tippecanoe sequence Tippecanoe , Kaskaskia sequence Kaskaskia , Absaroka sequence Absaroka , Zu i sequence Zu i , and Tejas sequence Tejas . It dates from the late Proterozoic through the early Ordovician , though the transgression geology marine transgression did not begin in earnest until the middle Cambrian . ref Monroe, James S., and Reed Wicander. The Changing Earth Exploring Geology and Evolution, 2nd ed. Belmont West Publishing Company, 1997. ISBN 0 314 09577 2 p. 533 ref At its peak, most of North America was covered by the shallow Sauk Sea, save for parts of the Canadian Shield and the islands of the Transcontinental Arch . ref Monroe and Wicander, p. 533 ref The stratigraphy of the Sauk sequence indicates shallow water deposition, primarily consisting of well sorted sandstone s and clastic carbonate s. A marine regression ended the Sauk sequence early in the Ordovician, to be followed by the Tippecanoe sequence later in the period. ref Monroe and Wicander, pp. 533 4 ref References references Category Historical geology Category Geologic formations of the United States Category Proterozoic Category Cambrian Category Ordovician geologic formation stub it Sequenza Sauk ... more details
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