In the complex analysis analytic theory of generalized continued fraction continued fractions , a chainsequence is an infinite sequence a sub n sub of non negative real numbers chained together with another sequence g sub n sub of non negative real numbers by the equations math a 1 1 g 0 g 1 quad a 2 1 g 1 g 2 quad a n 1 g n 1 g n math where either a 0 &le g sub n sub 1, or b 0 g sub n sub &le 1. Chain sequences arise in the study of the convergence problem &ndash both in connection with the parabola theorem , and also as part of the theory of quadratic form positive definite continued fractions. The infinite continued fraction of convergence problem Worpitzky s theorem Worpitzky s theorem contains a chainsequence. A closely related theorem ref Hubert Stanley Wall Wall traces this result back to Oskar Perron Wall, 1948, p. 48 . ref shows that math f z cfrac a 1z 1 cfrac a 2z 1 cfrac a 3z 1 cfrac a 4z ddots , math converges uniformly on the closed unit disk z &le 1 if the coefficients a sub n sub are a chainsequence. An example The sequence , , , ... appears as a limiting case in the statement of Worpitzky s theorem. Since this sequence is generated by setting g sub 0 sub g sub 1 sub g sub 2 sub ... , it is clearly a chainsequence. This sequence has two important properties. Since f x x &minus x sup 2 sup is a maximum when x , this example is the biggest chainsequence that can be generated with a single generating element or, more precisely, if g sub n sub x , and x , the resulting sequence a sub n sub will be an endless repetition of a real number y that is less than . The choice g sub n sub is not the only set of generators for this particular chainsequence. Notice that setting math g 0 ... the same unending sequence , , , ... . Notes references References H. S. Wall, Analytic Theory ... more details
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 ... of the sequence are a subset of an partially ordered set ordered set , then a monotonically ... 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
other uses Refimprove date March 2008 Infobox song Name The Chain Cover Artist Fleetwood Mac Album Rumours ... no 8 Misc Audiosample Background E6E8FA Upper caption Audio sample Audio file The Chain by Fleetwood Mac.ogg The Chain is a song from Fleetwood Mac s best selling album Rumours . The Chain is unique ... , the final section of The Chain beginning with a bass progression was created by John McVie ... Fleetwood Mac s The Chain date 24 February 2009 publisher Daily Telegraph accessdate 19 March 2011 ... boxed set titled 25 Years The Chain . In 1997, Fleetwood Mac released a live concert CD DVD package .... The rendition of The Chain reached number 30 on the Billboard Mainstream Rock Tracks chart. In 2002, Warner Bros. released the 2 CD set The Very Best of Fleetwood Mac , including The Chain . On 29 March 2009, The Chain entered the UK Chart at 94 through downloads, following confirmation from the BBC that it would be used in the title sequence of their Formula One coverage, having regained broadcasting rights from ITV . On 20 March 2011, The Chain reached 81 in the UK chart due to a campaign ... recorded The Chain for their album Life Starts Now but was one of the few not put on the record. However ..., 2009, they have been playing The Chain at their concerts throughout their tour. Shawn Colvin performed ... band Shark Island included a cover of The Chain on their 1989 album Law of the Order , notable for not including ... Axe performed a cover of The Chain on Rock the World Kick Axe album Rock the World , their third studio album, released in 1986. The hard rock band Taking Dawn performed a cover of The Chain on their debut ... music band Little Big Town has performed a cover of The Chain at live concerts. Florence and the Machine performed a cover of The Chain at the Glastonbury Festival 2010 . Introducing the performance ... James Keenan covered The Chain during their 2011 tour. Television Image Chainbass.png thumb 200px right The ending bass line from The Chain The ending bass line and guitar solo of The Chain was used ... more details
For other uses, see Chain unit or Chain disambiguation . Image Broad chain closeup.jpg thumb A broad metal chain made of torus shaped links. Image Grave chain with diamond shaped link pins.jpg thumb A metal chain with diamond shaped link pins. Image Kettenvergleich.jpg thumb Roller chains. A chain is a series of connected links which are typically made of metal. A chain may consist of two or more links ... lock , have links that are torus shaped, which make the chain flexible in two dimension s The fixed third dimension being a chain s length. Those designed for transferring power in machines have ... one dimension. They are known as Roller chain s, though there are also non roller chains such as block chain . Two distinct chains can be connected using a Maillon quick link which resembles a carabiner with a screw close rather than a latch. Uses for chain Uses for chain include Bicycle chain , transfers power from the pedals to the drive wheel of a bicycle thus propelling it Chain drive , the main feature that differentiated the safety bicycle Chain gun , type of machine gun that is driven by an external power source, sometimes connected by a chain, to actuate the mechanism rather than using recoil Chain pumps , type of water pump where an endless chain has positioned on it circular discs Chain linked Lewis , lifting device made from two curved steel legs Chainsaw , portable mechanical, motorized saw using a saw chain cutting chain to saw wood. Chain steam shipping Curb chain , used on curb bits when riding a horse Door chain , a type of security chain on a door that makes it possible ... inside Keychain , a small chain that connects a small item to a keyring Lead shank or Stud chain , used on horses that are misbehaving Lavatory chain, the chain attached to the cistern of an old fashioned ... cisterns no longer work like that, the phrase pull the chain is still encountered to mean flush the lavatory . O ring chain , a specialized type of roller chain Roller chain , the type of chain most ... more details
CHAIN can refer to CHAIN programming language CHAIN industry standard , an acronym for European Committee of Domestic Equipment Manufacturers Ceced Home Appliances Interoperating Network, a standard for a multi brands home network of interactive household appliance s. Controlled and Harmonised Aeronautical Information Network , a concept of EUROCONTROL to improve the quality of aeronautical data. Canadian High Arctic Ionospheric Network See also Chain . disambig ... 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
The amino acid sequence in the phenylalanyl chain of insulin. I. The identification of lower peptides ... H title The amino acid sequence in the phenylalanyl chain of insulin. 2. The investigation of peptides ...In bioinformatics , the term sequence analysis refers to the process of subjecting a DNA sequence DNA , RNA or peptide sequence to any of a wide range of analytical methods to understand its features, function, structure, or evolution. Methodologies used include sequence alignment , searches against ..., G title Biological sequence analysis probabilistic models of proteins and nucleic acids month ... from which the new sequence comes. Thus, sequence analysis can be used to assign function to genes ... tools and techniques that provide the sequence comparisons sequence alignment and analyze the alignment product to understand its biology. Sequence analysis in molecular biology includes a very ... if they are related Homology biology homologous Identification of intrinsic features of the sequence such as active site s, post translational modification sites, Sequence motif gene structures ... of sequence differences and variations such as point mutation s and single nucleotide polymorphism ... and organisms Identification of molecular structure from sequence alone In chemistry , sequence analysis comprises techniques used to do determine the sequence of a polymer formed of several ... , sequence analysis is often used in analytical customer relationship management applications ... September pmid 14886311 pmc 1197536 doi url ref Sequence Alignment Main Sequence alignment Pairwise alignment Main Multiple sequence alignment File WPP domain alignment.PNG thumb 650px center Example multiple sequence alignment There are millions of protein sequence protein and nucleotide sequences ... together and assigning this alignment a score. There are two main types of sequence alignment. Pair wise sequence alignment only compares two sequences at a time and multiple sequence alignment compares ... more details
exact sequence is a chain complex . Furthermore, only f sub i sub images of elements of A sub i sub ... exact sequence of chain complexes, or from another point of view, a chain complex of short exact ...An exact sequence is a concept in mathematics , especially in homological algebra and other applications of abelian category theory, as well as in differential geometry and group theory . An exact sequence is a sequence , either finite or infinite, of objects and morphism s between them such that the Image .... Definition In the context of group theory , a sequence math G 0 xrightarrow f 1 G 1 xrightarrow ... that the sequence of groups and homomorphisms may be either finite or infinite. A similar definition can be made for certain other algebraic structure s. For example, one could have an exact sequence ... generally, the notion of an exact sequence makes sense in any category mathematics category with kernel category theory kernel s and cokernel s. Short exact sequence math A xrightarrow f B twoheadrightarrow C math The most common type of exact sequence is the short exact sequence . This is an exact sequence of the form math A overset f hookrightarrow B overset g twoheadrightarrow C math where ... A im f math . A short exact sequence of abelian groups may also be written as an exact sequence with five ... as 1 instead of 0 . So in that case a short exact sequence would be written as follows math 1 xrightarrow A xrightarrow f B xrightarrow g C xrightarrow 1 math Example Consider the following sequence ... an epimorphism the map mod 2 . This is an exact sequence because the image 2 Z of the monomorphism is the kernel of the epimorphism. This sequence may also be written without using special symbols ... arithmetic modulo 2. This is indeed an exact sequence the image of the map 0 Z is 0 , and the kernel of multiplication by 2 is also 0 , so the sequence is exact at the first Z . the image of multiplication by 2 is 2 Z , and the kernel of reducing modulo 2 is also 2 Z , so the sequence is exact at the second ... 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
Unreferenced date October 2010 In machine learning , sequence labeling is a type of pattern recognition task that involves the algorithmic assignment of a categorical data categorical label to each member of a sequence of observed values. A common example of a sequence labeling task is part of speech tagging , which seeks to assign a part of speech to each word in an input sentence or document. Sequence labeling can be treated as a set of independent classification machine learning classification tasks, one per member of the sequence. However, accuracy is generally improved by making the optimal label for a given element dependent on the choices of nearby elements, using special algorithms to choose the globally best set of labels for the entire sequence at once. As an example of why finding the globally best label sequence might produce better results than labeling one item at a time, consider the part of speech tagging task just described. Frequently, many words are members of multiple parts of speech, and the correct label of such a word can often be deduced from the correct label of the word to the immediate left or right. For example, the word sets can be either a noun or verb. In a phrase like he sets the books down , the word he is unambiguously a pronoun, and the unambiguously a determiner linguistics determiner , and using either of these labels, sets can be deduced to be a verb, since nouns very rarely follow pronouns and are less likely to precede determiners than verbs ... above vice versa for an algorithm that proceeds from right to left. Most sequence labeling algorithms ... sequence. The most common statistical models in use for sequence labeling make a Markov assumption ... adjacent labels hence the set of labels forms a Markov chain . This leads naturally to the hidden Markov model HMM , one of the most common statistical models used for sequence labeling. Other common ... are an example References Reflist DEFAULTSORT Sequence Labeling Category Machine learning ... more details
Sequence learning is inherent to human ability because it is an integrated part of conscious and nonconscious ... first Benjamin A coauthors DiGirolamo, Gregory J, Keele, Steven W title Sequence learning journal ... S1364 6613 98 01202 9 ref Sequence learning can be used to study skill acquisition and in studies ... editor Frank E. Ritter et al . title In order to learn how the sequence of topics influences learning ... Press location Oxford New York isbn 9780195178845 ref Sequence learning, more known and understood ... forms of learning. Sequence learning can also be referred to as sequential behavior, behavior ... by the reflex chain, which states that stimulation caused by an initial movement triggers an additional ... beliefs about sequence learning and introducing his hypothesis. He criticized the previous ... a movement sequence can increase with the length or complexity of the sequence. The next line is the properties of movements occurring early in a sequence can anticipate later features. Then lastly ... 4 pages 525&ndash 54 doi 10.1016 j.humov.2007.04.001 ref blockquote Lashley argued that sequence ... or unpacking hierarchical plans. Additional evidence is how easy or hard it is to learn a sequence ... chunking . This skill combines multiple units into larger units. ref name Rosenbaum Types of sequence learning There are two broad categories of sequence learning&mdash explicit and implicit&mdash with subcategories. Explicit sequence learning has been known and studied since the discovery of sequence learning. However, recently, implicit sequence learning has gained more attention and research. A form of implicit learning , implicit sequence learning refers to the underlying methods of learning ... Ling Jennifer title Implicit sequence learning One or two learning mechanisms? type MA thesis year 1994 ... sequence learning include motor sequence learning, temporal sequence learning, and Associative Sequence Learning associative sequence learning . Sequence learning problems Sequence learning problems ... 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
chain complex The spectral sequence degenerated at the first sheet. In general, if a doubly ... topology , a spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a generalization of exact sequence s, and since their introduction ... a computational technique now known as the Leray spectral sequence . This gave a relation ... formed a natural chain complex , so that he could take the cohomology of the cohomology .... The cohomology of the cohomology again formed a chain complex, and its cohomology formed a chain ... sequence are incalculable. Unfortunately, because of the large amount of information carried in spectral ... in which the spectral sequence eventually collapses, meaning that going out further in the sequence ... information from a spectral sequence by various tricks. Formal definition Fix an abelian category , such as a category of modules over a ring. A spectral sequence is a choice of a nonnegative integer ... sub r sub . The most elementary example is a chain complex C sub sub . C sub sub is an object in an abelian category of chain complexes, and it comes with a differential d . Let r sub 0 sub 0, and let ... on all the rest of our sheets gives a spectral sequence whose terms are E sub 0 sub C sub sub E sub r sub H C sub sub for all r 1. The terms of this spectral sequence stabilize at the first sheet ... spectral sequence, the terms are written math E r p,q math and the differentials have bidegree r,r 1 . For a cohomological spectral sequence, the terms are written math E p,q r math and the differentials ... naturally in practice see the example of a double complex below. Depending upon the spectral sequence ..., for the spectral sequence of a filtered complex, described below, r sub 0 sub 0, but for the Grothendieck spectral sequence , r sub 0 sub 2. Usually r sub 0 sub is zero, one, or two. A morphism ... sub 0 sub term of the spectral sequence and that A is some auxiliary data. To pass to the next sheet ... 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
Refimprove date March 2009 In bioinformatics , a sequence alignment is a way of arranging the sequences ... cite book author Mount DM. year 2004 title Bioinformatics Sequence and Genome Analysis edition ... A sequence alignment, produced by ClustalW , of two human zinc finger proteins, identified on the left ... and side chain properties amino acids . Red small, hydrophobic, aromatic, not Y. Blue acidic ... Tools clustalw2 help.html color ref Sequence alignments are also used for non biological ... since they diverged from one another. In sequence alignments of proteins, the degree of similarity between amino acid s occupying a particular position in the sequence can be interpreted as a rough measure of how conservation genetics conserved a particular region or sequence motif is among lineages ... of amino acids whose side chain s have similar biochemical properties in a particular region of the sequence, suggest ref name predict http www.ncbi.nlm.nih.gov pubmed 11337480 Ng ... is applied in constructing algorithms to produce high quality sequence alignments, and occasionally ... especially in the case of nucleotide sequences . Computational approaches to sequence alignment ... of computational algorithms have been applied to the sequence alignment problem, including slow .... In almost all sequence alignment representations, sequences are written in rows arranged so that aligned ... sequence visualization programs also use color to display information about the properties of the individual sequence elements in DNA and RNA sequences, this equates to assigning each nucleotide its ... substitution. For multiple sequences the last row in each column is often the consensus sequence determined by the alignment the consensus sequence is also often represented in graphical format with a sequence ... year 1990 author Schneider TD, Stephens RM title Sequence logos a new way to display consensus sequences ... doi 10.1093 nar 18.20.6097 issue 20 ref Sequence alignments can be stored in a wide variety of text ... 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
much more clearly than the amino acid sequence cellpadding 5 3D chain code Amino acid sequence 1lccA ...Context date October 2009 In genetics , a sequence motif is a nucleotide or amino acid amino acid sequence .... For proteins, a sequence motif is distinguished from a structural motif , a motif formed by the three ... for amino acid s see genetic code . Overview When a sequence motif appears in the exon of a gene , it may ... sequence motifs and motifs within the junk DNA junk , such as satellite DNA . Some of these are believed ... structure, include those that signal sequence label proteins for delivery to particular parts of a cell biology cell , or mark them for phosphorylation . Within a sequence or database of sequences, researchers search and find motifs using computer based techniques of sequence analysis , such as BLAST . Such techniques belong to the discipline of bioinformatics . See also consensus sequence . Motif ... code occurring in the pattern. Observed probabilities can be graphically represented using sequence .... For example, the defining sequence for the IQ motif may be taken to be code FILV Qxxx RK Gxxx ... would be a consensus sequence for the IQ motif . De novo computational discovery of motifs ... first5 Andrew F. last6 Wootton first6 John C. year 1993 month October 8 title Detecting subtle sequence ... drawn from the alphabet denotes a sequence of the corresponding amino acids any string of characters ... a meaning to a sequence of elements of the pattern notation a sequence of elements of the pattern notation matches a sequence of amino acids if and only if the latter sequence can be partitioned ... amino acid other than code S code or code T code . If a pattern is restricted to the N terminal of a sequence ... of a sequence, the pattern is suffixed with code > code . The character code > code can also ... code . Some examples code x 3 code is equivalent to code x x x code . code x 2,4 code matches any sequence ... an input sequence matches the motif or not. PWMs are calculated from PFMs. An example of a PFM from ... 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
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