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For a sequence of positive real numbers to [[limit of a sequence|converge]] against a real number * it is necessary that the sequence is bounded,

...on (mathematics)|function]] for which the definition "encodes" values of a sequence, allowing the application of methods of [[real analysis|real]] and [[comple Let (''a''_''n'') be a [[sequence]] indexed by the [[natural number]]s. The ''ordinary generating function''

...of multiple [[action|acts]] of [[murder]] of [[human]]s at one time or in sequence (such as committed by [[serial killer]]s) perhaps by [[terrorism]] or [[bom

...tibodies''' are "[[immunoglobulin]] molecules having a specific amino acid sequence by virtue of which they interact only with the [[antigen]] (or a very simil

A sequence of exothermic [[chemical reaction]]s between a [[fuel]] and an oxidant acco

* In mathematics, the phenomenon that a sequence or a function approaches a [[limit (mathematics)|limit]]

...ected set]] into a [[topological space]] which generalises the notion of [[sequence]]. Convergence of a net may be used to completely characterise the topolog The [[natural number]]s with the usual order form a directed set, and so a [[sequence]] is a special case of a net.

...metric space is of second category, equivalently, the intersection of any sequence of open dense sets in a complete metric space is dense.

...ptographic key, i.e. the secret used to encrypt and decrypt messages, is a sequence of random values, each one of which is only ever used once, and only to enc

===Limit point of a sequence=== ...oints of the sequence beyond some term ''n''(''U''). A limit point of the sequence (''a''_''n'') need not be a limit point of the set {''a''<sub>''n

A sequence of normally inactive proteins, which, when activated by foreign proteins of

*[[Limit of a sequence]]

...gment of DNA, often from a whole genome or complex mixture of DNA, using a sequence specific probe. It is named after Edward M. Southern who developed the tech

{{r|Cauchy sequence}} {{r|Limit of a sequence}}

...rmation and references. It also contains copious links to [[MEDLINE]] and sequence records in the Entrez system, and links to additional related resources at | <nowiki>*</nowiki> || gene with known sequence

...tibodies''' are "[[immunoglobulin]] molecules having a specific amino acid sequence by virtue of which they interact only with the [[antigen]] (or a very simil

...result of curation and automated integration of data from NCBI's Reference Sequence project (RefSeq), from collaborating model organism databases, and from man

...]s of [[mathematical function]]s. The [[contour plot]] can be performed as sequence of expicit plots, showing the function with different levels.

.... Each restriction enzyme is specific to a small (commonly 4-6 base pair) sequence. These enzymes can be used to cut DNA into fragments in a specific and rep

{{r|Limit of a sequence}}

* A [[linear order|linearly ordered]] sequence of elements of a [[partial order]]

...hine from energy from Hydrogen fusion in there core, is called the "[[main sequence]]".]] ...p right corner, to the lower left corner. This band is called the "[[main sequence]]". The stars on the right hand end of this band are both luminous, and hav

...enbergetal.pdf A Phylogenetic analysis of Laeliinae (Orchidaceae) based on sequence data from internal transcribed spacers (ITS) of nuclear ribosomal DNA]

{{r|Lucas number||**}} {{r|Lucas sequence||}}

{{r|Geometric sequence}}

...ram]]. The syntax of a [[programming language]] is the set of rules that a sequence of characters in a [[source code]] file must follow to be considered a conf ...c analysis of source code usually entails the transformation of the linear sequence of tokens into a hierarchical syntax tree ([[abstract syntax tree]]s are on

...ey as a program for an interpreter, so that each round can use a different sequence of operations. Eight rounds are used. Encryption and decryption are fast, b

'''Logistic sequence''' <math>F_u</math> is [[Superfunction]] of the quadratic [[transfer funct ...lly assumed to be a positive constant. For <math>u>1</math>, the logistic sequence is [[entire function]];

The original Cantor's idea was to show that the family of 0-1 infinite [[sequence]]s is not countable. This is done by contradiction. If this family is count ...in <math>\{0,1\}</math>" of the diagonal of our table. It follows that the sequence ''s'' itself is not on the list, since it is different from every member by

{{r|Sequence}}

...Gosudarstvennoy Bezopasnosti or KGB). The KGB, in turn, was one of a long sequence of "Organs of State Security" under the Soviet government, and can trace it

In [[algebra]], the '''continuant''' of a sequence of terms is an algebraic expression which has applications in [[generalized The ''n''-th ''continuant'', ''K''(''n''), of a sequence '''a''' = ''a''₁,...,''a''_''n'',... is defined recurs

...plural of some verbs: ''continuiamo, dissanguiamo''. And in the four-vowel sequence of ''aiuola'' ('flowerbed') the {{IPA|[j]}} is pushing out the "u" semivowe

...]s from pre-mRNA by splicing. The U1 snRNA forms base pairs with conserved sequence motifs at the 5'-splice site and recognizes both the 5'- and 3'-splice site

...sequence is faster (respectively, slower) than that of another function or sequence. It is often used in particular applications in [[physics]], [[computer sci

{{r|Sequence}}

The [[Rudin-Shapiro polynomials]] provide a sequence satisfying the upper bound with <math>c_2 = \sqrt 2</math>. No sequence is known (as of 2008) which satisfies the lower bound.

...m a husband with whom she had little in common, she had affairs, though in sequence rather than simultaneously, with several well-known men, including [[Alfred

{{r|Lucas sequence}}

{{r|Sequence}}

...sented in NCBI's genetic databases with at least one nucleotide or protein sequence. THE NCBI Taxonomy database allows browsing of the taxonomy tree, which co

This version is fairly faithful to the novella, and notably includes a sequence portraying the grand [[Christmas dinner]] at the [[Lord Mayor of London|Lor

Auto-populated based on [[Special:WhatLinksHere/Exact sequence]]. Needs checking by a human.

...proving a proposition that can be considered a conjunction of an infinite sequence of special cases. Despite the name, it is a deductive, rather than inducti ...roof by mathematical induction, one proves that each member of an infinite sequence of propositions holds by reasoning as follows:

Initially biologists were content to clone and sequence genes on a one by one basis which required large amounts of labor and time. ...as in the form of sequencing a massive number of randomly picked expressed sequence tags ([[EST]]'s). Each tag represented a cDNA clone and the whole collectio

...ry DNA]] or [[RNA]] strand (i.e., probe) to localize a specific DNA or RNA sequence in a portion or section of [[tissue (biology)|tissue]] (''[[in situ]]''), o ..., a complementary [[RNA]] (riboprobe). The probe hybridizes to the target sequence at elevated temperature, and then the excess probe is washed away (after pr

{{r|Sequence}}

...r [[digital logic family]] might be considered a protocol. Similarly, the sequence of modulated [[infrared light]] emitted by a [[television]] remote control

...tion in captions, or [[onomatopoeia|onomatopoetic]] sound effects. A short sequence of such images, often found as a regular feature in newspapers, is called a ...ott McCloud]] defines comics as "Juxtaposed pictorial images in deliberate sequence, intended to convey information and/or produce an aesthetic response in the

{{r|Limit of a sequence}}

In [[mathematics]], a '''Lucas sequence''' is a particular generalisation of sequences like the [[Fibonacci number| *For every sequence <math>\scriptstyle U(P,Q) = (U_n(P,Q))_{n \ge 0}</math> it holds that <math

..., she helps her lover [[murder]] her husband, and this sparks a continuing sequence of [[Greek tragedy]] which provided much material for tragedians.

{{r|Lucas sequence}}

...ergence''' is a mathematical concept intended to formalize the idea that a sequence of essentially random or unpredictable events sometimes is expected to sett ...e note the exact amount of food that this animal consumes day by day. This sequence of numbers will be unpredictable in advance, but we may be ''quite certain'

{{r|Sequence}}

* 1972: ''Dream Sequence'' by Cosmic Eye

{{r|Limit of a sequence}}

...dt orthogonalization procedure constructs, in a sequential manner, a new [[sequence]] of vectors <math>y_1,y_2,\ldots,y_n \in X </math> such that: It can easily be checked that the sequence <math>y_1,y_2,\ldots,y_n</math> constructed in such a way will satisfy the

{{r|Sequence}}

*Detection fails when looking for a specific sequence of instructions that simply matches a pattern, and will not ignore null ope

==The Sequence of New Deal Legislation==

{{r|Sequence}}

{{r|Exact sequence}}

{{r|Limit of a sequence}}

...satisfying <math>P(\Lambda)=1</math>. An equivalent definition is that the sequence <math>X_1,X_2,\ldots,X_n,\ldots</math> converges almost surely to <math>Y<

...l RNA expression for vaccines and chromatin structure as a function of DNA sequence; and developing numerically efficient theoretical methods to describe quant

...ries''' is a [[series (mathematics)|series]] associated with a [[geometric sequence]], The sum of the first ''n'' terms of a geometric sequence is called the ''n''-th partial sum (of the series); its formula is given be

{{r|Geometric sequence}}

*[[Polynomial sequence]]s

...UAA, UAG and UGA. The sequence of codons in [[mRNA]] is derived from the sequence present in the [[DNA]] from which the mRNA was transcribed.

...he assurance that records of a file are not duplicated, deleted, or out of sequence

{{r|Series (analysis)}}, the cumulative sum of a given sequence of terms.

{{r|Sequence}}

{{r|Sequence}}

{{r|Cauchy sequence}}

* A monotone sequence of real numbers is convergent iff it is bounded.

{{r|Series (analysis)}}, the cumulative sum of a given sequence of terms.

...uld be encountered by going once around the circle in the direction of the sequence ''a, b, c, ...'' are in cyclic order, regardless of the starting point. See ...permutations and 0 if two indices are equal. An ''even'' permutation is a sequence (''ijk...r'') that can be restored to (123...''n'') using an even number of

...after twelve such transpositions we return to the original key. Thus the sequence forms a "circle of fifths".

...[cytosine|C]], or [[guanine|G]] &mdash; in the [[genome]] (or other shared sequence) differs between members of a species (or between paired chromosomes in an SNPs within a coding sequence will not necessarily change the [[amino acid]] sequence of the [[protein]] that is produced, due to [[Genetic code#Degeneracy of th

{{r|Series (analysis)}}, the cumulative sum of a given sequence of terms.

...([[parsed]]), usually by a set of [[regular expressions]], and output as a sequence of [[token|tokens]]. ...put tokens are recognized by a set of [[pushdown automatons]] and output a sequence of semantic actions.

...]'' ("book of the taking of Ireland"), a compilation of traditions about a sequence of invasions and settlements by various groups, some semi-historical, some

sequence diagrams ------ to show time dependency of information flow

...90/n6657/full/390249a0.html Kunst F ''et al.'' (1997) The complete genome sequence of the Gram-positive bacterium Bacillus subtilis. ''Nature'' 390:249-56]

Formally, let ''z'' be a variable and <math>a_n</math> be a sequence of real or complex coefficients. The associated power series is * D'Alembert ratio test: if the limit of the sequence <math>\left\vert \frac{a_{n+1}}{a_n} \right\vert</math> exists, then this i

...computer networking technique in which a [[file]], composed of an ordered sequence of [[record]]s, is transferred from one source computer to one or more dest

...(Pi)]]. Unicode position U+220F (∏) contains a symbol for the product of a sequence, distinct from U+03A0 (Π), the letter. ...operations on the [[complex number]]s, [[matrix|matrices]], [[tensor]]s, [[sequence]]s, and [[function]]s.

...ne]]s may be present every 3rd or 4th position between the leucines. This sequence of amino acids creates an <math>\alpha</math>-helix with a very hydrophobic

...asterpieces of Buddhist art in India. The caves “…numbered in an arbitrary sequence, are laid out in a great arc cut by the curving course of the Waghora river

is used to drive mechanical actuators, called drivers, in a specified sequence of events (generally 24) which are ...eing generated accidentally is vanishingly small. If it is matched, If the sequence

...ed in a stratigraphic sequence is used as the basis for a division of each sequence into units with the same magnetic polarity. In this way, rocks characterize

...differing [[nucleic acid]] composition. It shares serologic reactivity and sequence [[homology]] with the simian [[Lentivirus]] [[simian immunodeficiency virus

...iology)|families]] of [[fish]], based on whole [[mitochondrial DNA]] [[DNA sequence|sequences]]. Note that the species of the [[Labridae]] and those of the rem

...6/07: Consolidated Launch Manifest: Space Shuttle Flights and ISS Assembly Sequence.]

{{r|Exact sequence}}

...'''Z'''. <!-- For each ''n'' in '''N''', let ''e''_''n'' be the sequence with ''n''-th term equal to 1 and all other terms 0.-->

{{r|Series (analysis)}}, the cumulative sum of a given sequence of terms.

==Sequence== ...and ovine species. <ref>{{cite journal | author=Shen LP, Rutter WJ |title=Sequence of the human somatostatin I gene. |journal=Science |volume=224 |issue= 4645

...'', a real valued cost functional <math>J</math> of ''a'' and the control sequence <math>u_0,u_1,\ldots,u_{K-1}</math> up to time <math>K-1</math> is defined ...blem)''' For a given horizon ''K'' and initial state ''a'', find a control sequence <math>\tilde u_0,\tilde u_1,\ldots,\tilde u_{K-1} \in \mathbb{R}^m</math> t