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- A '''sequence''', in mathematics, is an enumerated list; the elements of this list are us ...}</math> with values in ''X''. (We say that ''n'' is the ''length'' of the sequence).2 KB (270 words) - 15:56, 12 November 2008
- ...c sequence''' (or '''geometric progression''') is a (finite or infinite) [[sequence]] In finance, compound [[interest rate|interest]] generates a geometric sequence.3 KB (415 words) - 16:16, 23 September 2013
- ...y that elements in that sequence ''cluster'' together more and more as the sequence progresses. Another way of thinking of the clustering is that the distance ...the notion of a ''[[complete metric space]]'' as one in which every Cauchy sequence converges to a point of the space.1 KB (240 words) - 12:30, 4 January 2009
- 134 bytes (20 words) - 18:54, 8 June 2008
- 12 bytes (1 word) - 15:32, 14 November 2007
- 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 <math4 KB (776 words) - 20:44, 20 February 2010
- '''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]];9 KB (1,388 words) - 11:08, 20 November 2011
- 32 bytes (3 words) - 15:53, 12 November 2008
- 32 bytes (3 words) - 15:57, 12 November 2008
- ...stract algebra]] and [[homological algebra]], an '''exact sequence''' is a sequence of algebraic objects and morphisms which is used to describe or analyse alg In general the concept of an exact sequence makes sense when dealing with algebraic structures for which there are the3 KB (471 words) - 17:22, 15 November 2008
- An '''arithmetic sequence''' (or '''arithmetic progression''') is a (finite or infinite) [[sequence]]1 KB (175 words) - 13:40, 9 January 2010
- A (cohomology) spectral sequence (starting at <math>E_a</math>) in an abelian category <math>A</math> consis #The [[Leray spectral sequence]]1,021 bytes (174 words) - 17:10, 21 January 2008
- 20 bytes (2 words) - 23:08, 9 January 2008
- In elementary mathematics, a (finite or infinite) sequence of numbers such that the quotient of consecutive elements is constant.166 bytes (22 words) - 08:05, 9 January 2010
- 12 bytes (1 word) - 17:09, 21 January 2008
- 155 bytes (19 words) - 07:05, 5 February 2009
- 12 bytes (1 word) - 13:29, 27 January 2008
- {{r|Arithmetic sequence}} {{r|Geometric sequence}}421 bytes (51 words) - 18:51, 10 January 2010
- 939 bytes (108 words) - 16:55, 14 May 2010
- Sequence in which the distance between two elements becomes smaller and smaller.116 bytes (15 words) - 07:51, 27 July 2008
- 110 bytes (13 words) - 19:40, 4 September 2009
- 12 bytes (1 word) - 00:49, 18 November 2007
- 207 bytes (27 words) - 10:40, 9 November 2009
- A sequence of algebraic objects and morphisms which is used to describe or analyse alg139 bytes (19 words) - 17:24, 15 November 2008
- In elementary mathematics, a (finite or infinite) sequence of numbers such that the difference of consecutive elements is constant.168 bytes (22 words) - 08:08, 9 January 2010
- 171 bytes (21 words) - 17:26, 15 November 2008
- {{r|Sequence}} {{r|Arithmetic sequence}}218 bytes (29 words) - 16:21, 22 January 2010
- Auto-populated based on [[Special:WhatLinksHere/Exact sequence]]. Needs checking by a human.515 bytes (67 words) - 16:26, 11 January 2010
- ...c sequence''' (or '''geometric progression''') is a (finite or infinite) [[sequence]] In finance, compound [[interest rate|interest]] generates a geometric sequence.3 KB (415 words) - 16:15, 23 September 2013
- {{r|Sequence}} {{r|Limit of a sequence}}241 bytes (34 words) - 12:31, 4 January 2009
- 136 bytes (13 words) - 17:46, 17 February 2008
- ...'''limit of a sequence''' provides a rigorous definition of the idea of a sequence converging towards a point called the limit. Suppose ''x''<sub>1</sub>, ''x''<sub>2</sub>, ... is a [[sequence]] of [[Real number|real numbers]].771 bytes (122 words) - 09:45, 28 November 2007
- {{r|Sequence (mathematics)|Sequence}} {{r|Geometric sequence}}196 bytes (25 words) - 07:44, 9 January 2010
- A sequence which converges to (or approaches) the limit a as n tends to infinity.118 bytes (18 words) - 21:25, 4 September 2009
- 12 bytes (1 word) - 02:58, 22 December 2007
- #REDIRECT [[Limit point#Limit point of a sequence]]51 bytes (8 words) - 17:13, 27 December 2008
- Auto-populated based on [[Special:WhatLinksHere/Limit of a sequence]]. Needs checking by a human. {{r|Cauchy sequence}}681 bytes (91 words) - 18:06, 11 January 2010
Page text matches
- {{r|Arithmetic sequence}} {{r|Geometric sequence}}421 bytes (51 words) - 18:51, 10 January 2010
- A sequence of numbers defined by the partial sums of another infinite sequence.116 bytes (16 words) - 19:47, 9 January 2010
- ...ence of numbers or other mathematical objects and preceding entries in the sequence.157 bytes (23 words) - 15:35, 14 December 2008
- ...that the difference of consecutive elements is constant; see: [[Arithmetic sequence]].214 bytes (27 words) - 17:36, 20 January 2010
- ...) between consecutive elements is the same for all pairs; see: [[Geometric sequence]].244 bytes (33 words) - 17:33, 20 January 2010
- {{r|Sequence (mathematics)|Sequence}} {{r|Geometric sequence}}196 bytes (25 words) - 07:44, 9 January 2010
- ...the other hand, [[limit of a sequence]] is used to describe behavior of a sequence's element as its index becomes arbitrarily large. *[[Limit of a sequence]]445 bytes (69 words) - 18:42, 24 March 2009
- ...mplates and the result is a sequence of [[amino acid]]s, determined by the sequence of [[nucleotide]]s in the RNA.269 bytes (45 words) - 03:15, 14 January 2024
- ...'''limit of a sequence''' provides a rigorous definition of the idea of a sequence converging towards a point called the limit. Suppose ''x''<sub>1</sub>, ''x''<sub>2</sub>, ... is a [[sequence]] of [[Real number|real numbers]].771 bytes (122 words) - 09:45, 28 November 2007
- ==Monotonic sequence== ...equence]] regarded as a function defined on the [[natural number]]s. So a sequence <math>a_n</math> is monotonic increasing if <math>m \le n</math> implies <m1 KB (211 words) - 17:02, 7 February 2009
- {{r|Sequence}} {{r|Limit of a sequence}}241 bytes (34 words) - 12:31, 4 January 2009
- {{r|Sequence}} {{r|Arithmetic sequence}}218 bytes (29 words) - 16:21, 22 January 2010
- #REDIRECT [[Arithmetic sequence]]33 bytes (3 words) - 12:46, 9 January 2010
- #REDIRECT [[Geometric sequence]]32 bytes (3 words) - 12:49, 9 January 2010
- {{r|Cauchy sequence}} {{r|Limit of a sequence}}297 bytes (43 words) - 12:20, 4 January 2009
- ...y that elements in that sequence ''cluster'' together more and more as the sequence progresses. Another way of thinking of the clustering is that the distance ...the notion of a ''[[complete metric space]]'' as one in which every Cauchy sequence converges to a point of the space.1 KB (240 words) - 12:30, 4 January 2009
- An '''arithmetic sequence''' (or '''arithmetic progression''') is a (finite or infinite) [[sequence]]1 KB (175 words) - 13:40, 9 January 2010
- Auto-populated based on [[Special:WhatLinksHere/Limit of a sequence]]. Needs checking by a human. {{r|Cauchy sequence}}681 bytes (91 words) - 18:06, 11 January 2010
- Changes to the DNA sequence that cause new genetic variation.97 bytes (13 words) - 06:26, 23 May 2008
- ...Subpages}}</noinclude>A work of art based upon another and following it in sequence.97 bytes (15 words) - 03:50, 21 September 2011
- A '''sequence''', in mathematics, is an enumerated list; the elements of this list are us ...}</math> with values in ''X''. (We say that ''n'' is the ''length'' of the sequence).2 KB (270 words) - 15:56, 12 November 2008
- ...equencing/index.html Solving the genome puzzle] — an introduction to sequence alignment148 bytes (20 words) - 13:59, 8 July 2010
- An exact sequence which is used to describe the structure of a module.106 bytes (16 words) - 14:54, 28 October 2008
- Enzymes that differ in amino acid sequence but catalyze the same chemical reaction.120 bytes (16 words) - 20:38, 3 September 2009
- ...long in an already sorted sequence until all elements are inserted and the sequence is sorted. ...ing works by exchanging elements that are not in the right order until the sequence is sorted.3 KB (470 words) - 15:50, 19 December 2007
- Polynomial sequence which can be considered as a generalisation of the Fibonacci numbers.126 bytes (16 words) - 07:19, 4 September 2009
- A continuous and mentally organised sequence of (body) movements containing an expressive character.136 bytes (16 words) - 08:33, 28 July 2008
- Study of documented records to create the sequence, measured by time, in which events took place.133 bytes (19 words) - 10:12, 3 September 2020
- ...n = a_{n-1} + a_{n-2}\ </math>, and both sequences are part of the [[Lucas sequence]] with the parameter P=1 and Q=(-1).798 bytes (117 words) - 04:00, 4 March 2008
- Non-coding sequence of [[nucleic acid]] that is between the expressed sequences ([[exon|exons]]147 bytes (19 words) - 14:41, 13 December 2008
- A sequence of steps used to solve a problem.80 bytes (12 words) - 19:52, 20 May 2008
- An image sequence in an electronic medium.78 bytes (10 words) - 03:23, 2 June 2010
- A machine that executes a sequence of instructions.87 bytes (11 words) - 09:31, 13 November 2008
- Sequence in which the distance between two elements becomes smaller and smaller.116 bytes (15 words) - 07:51, 27 July 2008
- A topological space in which every sequence has a convergent subsequence.109 bytes (14 words) - 16:58, 30 October 2008
- A limit of the Cauchy sequence of rational numbers.87 bytes (12 words) - 05:18, 23 June 2008
- In mathematics, the cumulative sum of a given sequence of terms.100 bytes (14 words) - 10:48, 26 July 2023
- A bounded sequence of real numbers has a convergent subsequence.100 bytes (13 words) - 05:35, 29 December 2008
- The probability that the given sequence of random variables converges is 1.111 bytes (14 words) - 06:39, 14 July 2008
- ...not monotonic does not necessarily have a limit, but it has a [[monotonic sequence|monotonic]] [[subsequence]], and this does have a limit (this is the [[Bolz1 KB (188 words) - 05:37, 29 December 2008
- a persistent sequence of reductions in the general level of prices.103 bytes (14 words) - 04:50, 12 December 2008
- Terms of the Fibonacci sequence whose first two terms are 2 and 1.103 bytes (14 words) - 18:59, 9 September 2009
- The process of copying a DNA sequence into an equivalent copy of RNA.105 bytes (16 words) - 13:53, 17 March 2010
- ...on a directed set into a topological space which generalises the notion of sequence.130 bytes (18 words) - 10:10, 4 September 2009
- Module in which every ascending sequence of submodules has only a finite number of distinct members.137 bytes (19 words) - 10:14, 4 September 2009
- Property of spaces in which every Cauchy sequence converges to an element of the space.123 bytes (18 words) - 12:20, 4 January 2009
- ...he unfolding of the cylinder, the representation is duplicated, making the sequence easier to follow and giving a better impression of the environment of each [[Image:hca.gif |frame|HCA plot of a sample aminoacid sequence|none]]<br>2 KB (309 words) - 23:59, 3 July 2008
- A sequence of algebraic objects and morphisms which is used to describe or analyse alg139 bytes (19 words) - 17:24, 15 November 2008
- A property of the system state that can be determined by some sequence of physical operations.131 bytes (19 words) - 04:26, 4 September 2009
- English novelist and playwright (1867-1933), chiefly remembered for the novel sequence known as ''The Forsyte Saga''.153 bytes (19 words) - 04:05, 15 August 2010
- A series associated with a geometric sequence, i.e., consecutive terms have a constant ratio.129 bytes (18 words) - 14:29, 9 January 2010
- ...[[abstract algebra]] and [[homological algebra]], a '''resolution''' is a sequence which is used to describe the structure of a [[module (mathematics)|module] If the modules involved in the sequence have a property ''P'' then one speaks of a ''P resolution'': for example, a2 KB (296 words) - 14:49, 28 October 2008
- In elementary mathematics, a (finite or infinite) sequence of numbers such that the difference of consecutive elements is constant.168 bytes (22 words) - 08:08, 9 January 2010
- In elementary mathematics, a (finite or infinite) sequence of numbers such that the quotient of consecutive elements is constant.166 bytes (22 words) - 08:05, 9 January 2010
- ...stract algebra]] and [[homological algebra]], an '''exact sequence''' is a sequence of algebraic objects and morphisms which is used to describe or analyse alg In general the concept of an exact sequence makes sense when dealing with algebraic structures for which there are the3 KB (471 words) - 17:22, 15 November 2008
- {{r|Lucas sequence}} {{r|Sequence}}613 bytes (77 words) - 19:56, 11 January 2010
- A (cohomology) spectral sequence (starting at <math>E_a</math>) in an abelian category <math>A</math> consis #The [[Leray spectral sequence]]1,021 bytes (174 words) - 17:10, 21 January 2008
- ...or more location, that are organized in some meaningful way beyond simple sequence of creation180 bytes (25 words) - 13:45, 14 October 2008
- ...lts and other pertinent data for each procedure, arranged in chronological sequence for the entire assessment.191 bytes (24 words) - 09:51, 8 September 2009
- A sequence which converges to (or approaches) the limit a as n tends to infinity.118 bytes (18 words) - 21:25, 4 September 2009
- A sequence of arguments which establishes that some mathematical statement is implied155 bytes (21 words) - 12:40, 21 November 2009
- ...d the Hertzsprung-Russell diagram relating the absolute magnitudes of main sequence stars with their spectral types.201 bytes (24 words) - 13:28, 16 October 2008
- ...c sequence''' (or '''geometric progression''') is a (finite or infinite) [[sequence]] In finance, compound [[interest rate|interest]] generates a geometric sequence.3 KB (415 words) - 16:16, 23 September 2013
- ...c sequence''' (or '''geometric progression''') is a (finite or infinite) [[sequence]] In finance, compound [[interest rate|interest]] generates a geometric sequence.3 KB (415 words) - 16:15, 23 September 2013
- *{{CZ:Ref:Green 2010 A draft sequence of the Neandertal genome}} *{{CZ:Ref:Chimpanzee Sequencing and Analysis Consortium 2005 Initial sequence of the chimpanzee genome and comparison with the human genome}}436 bytes (57 words) - 07:22, 20 May 2010
- Sequence of numbers similar to the Fibonacci numbers in that successive numbers are164 bytes (22 words) - 10:47, 4 September 2009
- *{{CZ:Ref:Green 2010 A draft sequence of the Neandertal genome}}113 bytes (15 words) - 07:46, 20 May 2010
- ...pages}}</noinclude>A story that precedes a previous story in chronological sequence.100 bytes (13 words) - 03:56, 21 September 2011
- ...ange the expression patterns of a given genetic structure but not the gene sequence itself.170 bytes (25 words) - 23:58, 3 January 2009
- ...re' + 'sequel') is a story that precedes a previous story in chronological sequence. [[Prizzi's Family]], a satirical novel by [[Richard Condon]], for instance A story that follows a previous story in sequence is known as a [[sequel]], and is a more frequent literary device.736 bytes (118 words) - 14:13, 6 December 2019
- A finite sequence of elements of a given alphabet.86 bytes (12 words) - 15:37, 10 December 2008
- "The ability to think abstractly and to plan, initiate, sequence, monitor, and stop complex behavior." (Holsinger T JAMA. 2007 PMID 17551132177 bytes (22 words) - 09:52, 16 June 2008
- The sum of the [[discount rate|discounted]] values of a sequence of cash flows.117 bytes (17 words) - 00:46, 18 June 2010
- ...can change how a person's body responds to, or does not respond to, a DNA sequence.<ref name=CDC /> The discovery that lifestyle choices and/or environment c730 bytes (113 words) - 10:37, 19 September 2023
- #REDIRECT [[Limit point#Limit point of a sequence]]51 bytes (8 words) - 17:13, 27 December 2008
- A [[DNA sequence]] variation across [[chromosome]]s within an individual or a species, invol183 bytes (24 words) - 12:31, 29 January 2009
- ...r than our Sun and often orange in colour; includes hydrogen-burning 'main sequence' stars and older, giant stars such as Arcturus.203 bytes (29 words) - 10:53, 28 October 2011
- A mathematical concept intended to formalize the idea that a sequence of essentially random or unpredictable events sometimes is expected to sett199 bytes (28 words) - 12:24, 1 June 2008
- ...of [[number]]s or other mathematical objects and preceding entries in the sequence. An ''explicit'' relation is one in which a term is defined in terms of pr ...ub>''n''</sub>. This is an explicit relation because the next term in the sequence is given as a function of preceding terms (here in fact just one preceding3 KB (462 words) - 15:50, 14 December 2008
- Bioinformatics algorithm for comparing primary biological sequence information, such as the amino-acid sequences of different proteins or the208 bytes (25 words) - 02:09, 5 September 2009
- ...ates the genetic code and synthesizes amino acids into the correct protein sequence.213 bytes (31 words) - 01:27, 2 March 2010
- ..., expression, and/or regulation that do not involve changes to the [[DNA]] sequence. It is possible for such differences to be inherited from one [[generation]247 bytes (37 words) - 21:57, 12 June 2008
- *{{CZ:Ref:Chimpanzee Sequencing and Analysis Consortium 2005 Initial sequence of the chimpanzee genome and comparison with the human genome}}154 bytes (20 words) - 07:07, 20 May 2010
- ...ot''' is a technique to detect the presence of a specific piece of [[DNA]] sequence. It is named after Edward M. Southern who developed the technique at Edinbu ...gment of DNA, often from a whole genome or complex mixture of DNA, using a sequence specific probe.2 KB (395 words) - 20:45, 14 February 2010
- A specific sequence of a [[gene]], and one of a pair in a diploid cell (one per chromosome).128 bytes (21 words) - 16:18, 7 December 2008
- The first few numbers of the sequence are: 3, 0, 2, 3, 2, 5, 5, 7, 10, 12, 17, 22, ... A special property of the sequence of Perrin numbers is, that if <math>p\ </math> is a [[prime number]], then828 bytes (104 words) - 04:32, 19 May 2008
- ...ve and insert into new locations throughout the genome without needing DNA sequence similarity or requiring the process of homologous recombination to enable m237 bytes (34 words) - 22:38, 3 September 2009
- {{rpl|Logistic sequence}}166 bytes (18 words) - 11:05, 24 January 2023
- A Tauberian theorem used in number theory to relate the behaviour of a real sequence to the analytic properties of the associated Dirichlet series.183 bytes (27 words) - 16:51, 6 December 2008
- {{rpl|Cauchy sequence}}146 bytes (17 words) - 05:09, 26 September 2013
- A member of a sequence of which the successive values cannot be predicted, produced by measurement209 bytes (30 words) - 23:32, 21 August 2009
- * [[Aliquot sequence]]255 bytes (24 words) - 21:27, 2 April 2008
- :A project in which informed participants publicly share their [[DNA sequence]] and other personal information for research and education300 bytes (42 words) - 11:39, 20 July 2009
- the [[discount rate]] which, if applied to a sequence of cash flows, makes the [[net present value]] of those cash flows equal to171 bytes (27 words) - 04:24, 11 July 2010
- ...a story that follows a previous story in dramatic, usually chronological, sequence. These normally involve characters and events from a preceding tale, altho1 KB (169 words) - 03:51, 21 September 2011
- ...y sequence]] in that space is ''convergent''. In other words, every Cauchy sequence in the metric space tends in the limit to a point which is again an element ...metric space with metric ''d''. Then ''X'' is complete if for every Cauchy sequence <math>x_1,x_2,\ldots \in X</math> there is an associated element <math>x \i3 KB (441 words) - 12:23, 4 January 2009
- The unalterable sequence of cause–and–effect relations which bring the past to the prese181 bytes (27 words) - 19:13, 19 April 2010
- ...particular trait is influenced by the perception of the former traits in a sequence of interpretations.185 bytes (27 words) - 20:40, 14 September 2009
- Element of the sequence in which the first number is 0, the second number is 1, and each subsequent191 bytes (31 words) - 15:05, 3 July 2008
- ...] by his [[son]] [[Oedipus]] who didn't know who his father was; through a sequence of events, characters trying to ''avoid'' their [[fate]] actually assured i304 bytes (43 words) - 20:28, 29 April 2012