Unreferenced date December 2009 Cyclicform is a technique of musical form musical construction , involving multiple Section music sections or Movement music movements , in which a Theme music theme , melody , or thematic material occurs in more than one movement as a unifying device. Sometimes a theme may occur at the beginning and end for example, in the Johannes Brahms Brahms Symphony No. 3 Brahms Symphony No. 3 other times a theme occurs in a different guise in every part Berlioz , Symphonie Fantastique . Examples can be found throughout music history. The Renaissance music Renaissance cyclic mass , which incorporates a usually well known portion of plainsong as a cantus firmus in each of its sections, is an early use of this principle of unity in a multiple section form. Examples can also be found in seventeenth century instrumental music, for instance in the suites of dances by Samuel Scheidt in which a ground bass recurs in each movement. When the movements are short enough and begin to be heard as a single entity rather than many, the boundaries begin to blur between cyclicform and variation form . Typically the term applies to music of the nineteenth century and later, though, most famously including the C sar Franck Symphony in D minor Franck Symphony in D Minor , the Symphonie Fantastique , and numerous works by Franz Liszt . These works include the B minor Piano Sonata Liszt 1853 , which also serves as a Double Function Form double function form . Liszt s sonata begins with a clear statement of several thematic units and each unit is extensively used and developed throughout the piece. By late in the century, cyclicform had become an extremely common principle ... Liszt Society, 11 June 1982 28 39. DEFAULTSORT CyclicForm Category Musical form es Forma c clica fr .... Ludwig van Beethoven Beethoven s Symphony No. 5 Beethoven Symphony No. 5 is an example of cyclicform in which a theme is used throughout the symphony, but with different orchestration. They all ... more details
FORM may refer to FORM magazine , a bimonthly membership magazine of the American Institute of Architects Los Angeles FORM symbolic manipulation system , a symbolic manipulation system. First order reliability method , a method to evaluate the reliability of a civil engineering structure See also Form disambig ... more details
wiktionary formform Wiktionarypar formForm is the shape , visual appearance , or Configuration geometry configuration of an object. Form may also refer to Form document , a document printed or electronic with spaces in which to write or enter data Form education , a class, set or group of students Form exercise , a proper way of performing an exercise Form horse racing , a record of a racehorse s performance, or similarly for an athlete Form nest , a shallow depression or flattened nest of grass used by a hare Form religion , an academic term for prescriptions or norms on religious practice Musical form , a generic type of composition or the structure of a particular piece Criminal record , slang tocright Mathematics Algebraic form homogeneous polynomial , which generalises quadratic forms to degrees 3 and more, also known as quantics or simply forms Bilinear form , on a vector space V over a field F is a mapping V × V F that is linear in both arguments Differential form , a concept from differential topology that combines multilinear forms and smooth functions Indeterminate form , an algebraic expression that cannot be used to evaluate a limit Modular form , a complex analytic ... Multilinear form , which generalises bilinear forms to mappings V sup N sup F Quadratic form , a homogeneous polynomial of degree two in a number of variables Biology Form botany , a formal taxon at a rank lower than species Form zoology , informal taxa used sometimes in zoology Computing Form web , a document form used on a web page to, typically, submit user data to a server Form programming , a component based representation of a GUI window FORM symbolic manipulation system , a program for symbolic computations Form computer virus , the most common computer virus of the 1990s Oracle Forms ... martial arts and sport wushu Philosophy Substantial form , asserts that ideas organize matter ... kind of reality Value form , an approach to understanding the origins of commodity trade and the formation ... more details
In mathematics , the phrase of the form indicates that a mathematical object, or more frequently a collection of objects, follows a certain pattern of expression. It is frequently used to reduce the formality of Mathematical proof mathematical proofs . Example of use Here is a proof which should be appreciable with limited mathematical background Statement The product of any two Even and odd numbers even natural numbers is also even. Proof Any even natural number is of the form 2n , where n is any natural number. Therefore, let us assume that we have two even numbers which we will denote by 2k and 2l . Their product is 2k 2l 4 kl 2 2kl . Since 2kl is also a natural number, the product is even. Note In this case, both Proof by exhaustion exhaustivity and Exclusive exclusivity were needed. That is, it was not only necessary that every even number is of the form 2n exhaustivity , but also that every expression of the form 2n is an even number exclusivity . This will not be the case in every proof, but normally, at least exhaustivity is implied by the phrase of the form . External links MathWorld title Of the Form urlname OftheForm Category Proofs ... more details
The s form ref name WW Ch I Woodward, 2004, Ch. 1 ref is the English language phenomenon of suffixing Saxon genitive s or wikt s English s to business names where there is not one present in writing, predominantly in colloquial speech ref Woodward, 2004, Ch. 5.1 ref . This is particularly common with the names of supermarket s. For example Tesco could be converted to Tesco s in speech, Safeway UK Safeway to Safeways , Wal Mart to Wal Mart s , etc. Foreigners come across this form especially as concerns manufacturers mere retailers like the above examples remain customers and employees conversation. clarify date December 2010 For example, the firm Short Brothers of Belfast built the aircraft called the Short Sunderland , but the firm is colloquially given as Shorts . Causes Possible causes for use of the s form include a third person verb ending, contraction of wikt is English is , and pluralisation but it is most likely that the s form is an overgeneralisation of the Apostrophe Possessives in business names possessive suffix common in business names . ref Woodward, 2004, Ch. 2.1.1 ref References wiktionary s reflist 3 refbegin cite journal first Lorraine last Woodward title The supermarket storm an investigation into an aspect of variation publisher Lancaster University date February 2004 url http www.lancs.ac.uk fss courses ling ling201 res dissertations.htm accessdate 2008 04 06 refend DEFAULTSORT S Form Category British English Category English phonology linguistics stub ... more details
represent a cyclic number. For example 1 7 0.142857 142857 . Multiples of these fractions exhibit cyclic permutation 1 7 0.142857 142857 2 7 0.285714 285714 3 7 0.428571 428571 4 7 0.571428 571428 5 7 0.714285 714285 6 7 0.857142 857142 . Form of cyclic numbers From the relation to unit fractions, it can be shown that cyclic numbers are of the form math frac b p 1 1 p math where b is the Radix ... concept cyclic number group theory summary in Repeating decimal Merge from Transposable integer discuss Talk Cyclic number Cyclic permutation of integer date September 2009 A cyclic number is an integer in which cyclic permutation s of the digits are successive multiples of the number. The most ... 142857 × 4 571428 142857 × 5 714285 142857 × 6 857142 Details To qualify as a cyclic number, it is required that successive multiples be cyclic permutations. Thus, the number 076923 would not be considered a cyclic number, even though all cyclic permutations are multiples 076923 ... 5 repeated digits, e.g. 555 repeated cyclic numbers, e.g. 142857142857 If leading zeros are not permitted on numerals, then 142857 is the only cyclic number in decimal Citation needed date May 2011 . Allowing leading zeros, the sequence of cyclic numbers begins 142857 6 digits 0588235294117647 ... digits Relation to repeating decimals Cyclic numbers are related to the Repeating decimal recurring digital representations of unit fractions . A cyclic number of length L is the digital representation ... that give cyclic numbers are called full reptend prime s or long primes . For example, the case b 10, p 7 gives the cyclic number 142857. Not all values of p will yield a cyclic number using this formula ... possibly several . The first values of p for which this formula produces cyclic numbers in decimal ... contains 37.395.. of the primes. Construction of cyclic numbers Cyclic numbers can be constructed ... the loop. if t p &minus 1 then n is a cyclic number. This procedure works by computing the digits ... more details
is a power of g a multiple of g when the notation is additive . Definition File Cyclic group.svg right thumb 150px The six 6th complex roots of unity form a cyclic group under multiplication ... it is not even countable . The n sup th sup root of unity roots of unity form a cyclic group of order ... group form a model and inductive basis for the representation theory of groups with cyclic ...Groups In group theory , a cyclic group is a group mathematics group that can be generating set of a group ... sup 2 sup . A group G is called cyclic if there exists an element g in G such that G < g > g sup ... is cyclic. For example, if G g sup 0 sup , g sup 1 sup , g sup 2 sup , g sup 3 sup , g sup 4 sup , g sup 5 sup is a group, then g sup 6 sup g sup 0 sup , and G is cyclic. In fact, G is essentially the same ... defined by g sup i sup i. For every positive integer n there is exactly one cyclic group up to isomorphism whose Order group theory order is n , and there is exactly one infinite cyclic group the integers under addition . Hence, the cyclic groups are the simplest groups and they are completely classified. The name cyclic may be misleading it is possible to generate infinitely many elements and not form any literal cycles that is, every math g n math is distinct. It can be said that it has one infinitely long cycle. A group generated in this way is called an infinite cyclic group ... are uncountable is not a cyclic group a cyclic group always has countable elements. Since the cyclic ... 2 sup in C sub 5 sub , whereas 3 4 2 in Z 5 Z . Properties File Cyclic group Z15 cycle graph powers ... commons thumb 5 5a Cyclic group Z15 3B cycle graph 3B powers of wp 2815 2C5 2C11 2C13 29.svg 2048px Cyclic group Z15 3B cycle graph 3B powers of wp 2815 2C5 2C11 2C13 29.svg.png Cycle graph algebra Cycle graph of the cyclic group Z sub 15 sub br The elements of the subroups Z sub 3 sub and Z sub 5 sub are indicated by the trigon and the pentagon. The fundamental theorem of cyclic groups states that if G ... more details
Infobox disease Name Cyclic neutropenia Image Caption DiseasesDB 30103 ICD10 ICD9 ICD9 288.02 ICDO OMIM 162800 MedlinePlus eMedicineSubj eMedicineTopic MeshID Cyclic neutropenia or cyclical neutropenia is a form of neutropenia that tends to occur every three weeks and lasting three to six days at a time due to changing rates of cell production by the bone marrow. ref name Andrews cite book author James, William D. Berger, Timothy G. et al. title Andrews Diseases of the Skin Clinical Dermatology publisher Saunders Elsevier location year 2006 pages isbn 0 7216 2921 0 oclc doi accessdate ref rp 811 It is often present among several members of the same family. Treatment includes G CSF and usually improves after puberty. Cyclic neutropenia is the result of autosomal dominantly inherited mutations in ELA2 , the gene encoding neutrophil elastase. ref name pmid16079102 cite journal author Sera Y, Kawaguchi H, Nakamura K, et al. title A comparison of the defective granulopoiesis in childhood cyclic neutropenia and in severe congenital neutropenia journal Haematologica volume 90 issue 8 pages 1032 1041 year 2005 pmid 16079102 doi url http www.haematologica.org cgi pmidlookup?view long&pmid 16079102 ref See also Acatalasemia List of cutaneous conditions May be associated with oral cankers, canker sores or lesions. http www.aafp.org afp 20000701 149.html External links http www.ncbi.nlm.nih.gov bookshelf br.fcgi?book gene&part cyclic n GeneReview NIH UW entry on ELANE Related Neutropenias including cyclic neutropenia References reflist DEFAULTSORT Cyclic Neutropenia Category Congenital defects of phagocyte number, function, or both Category Conditions of the mucous membranes medicine stub ... more details
In chemistry , a cyclic compound is a chemical compound compound in which a series of atoms is connected to form a loop or ring. ref JerryMarch ref While the vast majority of cyclic compounds are organic, a few inorganic substances formcyclic compounds as well, including sulfur, silanes, phosphanes, phosphoric acid, and triboric acid. Cyclic compounds may or may not be Aromaticity aromatic . Benzene is a well known example. The term polycyclic is used when more than one ring is formed in a single molecule for instance in naphthalene , and the term macrocycle is used for a ring containing more than a dozen atoms. gallery Image cycloheptane sticks.png Cycloheptane , a non aromatic cyclic compound. Image Benzene bonds.svg Benzene , a cyclic compound. Image Naphthalene.png Naphthalene , a polycyclic compound. Image Porphyrin.svg Porphyrin , a macrocyclic compound. File Pentazole.png Pentazole , an inorganic cyclic compound. gallery Alicyclic compound are named according to the IUPAC system of nomenclature by attaching the prefix cyclo to the name of the corresponding open chain hydrocarbon possessing the same number of carbon atoms. The common names resemble the IUPAC names. For example Cyclo pantane, cyclo butane etc.... Ring closing & opening reactions Image Dieckmann Condensation Scheme.png right thumb Dieckmann ring closing reaction Related concepts in organic chemistry are so called ring closing reactions in which a cyclic compound is formed and ring opening reactions in which rings are opened. Examples of ring closing reactions Ring closing metathesis Nazarov cyclization reaction Ruzicka large ring synthesis Dieckmann condensation Wenker synthesis Radical cyclization Example of ring opening reactions A general type of polymerization reaction Ring opening polymerization Ring opening metathesis polymerisation See also open chain compound Ring expansion and ring contraction Macrocycle Effective molarity External links MeshName Polycyclic Compounds MeshName Macrocyclic ... more details
Chembox Verifiedfields changed Watchedfields changed verifiedrevid 433035864 ImageFile Cyclic ozone 3D balls.png ImageFile Ref chemboximage correct ?? ImageSize 100 ImageName Ball and stick model of cyclic ozone PIN Cyclic ozone Citation needed date October 2011 SystematicName Trioxirane ref Cite web title CID 16206854 Compound Summary url http pubchem.ncbi.nlm.nih.gov summary summary.cgi?cid 16206854 work PubChem Compound publisher National Center for Biotechnology Information accessdate 21 October 2011 location USA date 11 July 2007 at Identification and Related Records ref Section1 Chembox Identifiers CASNo 153851 84 4 CASNo Ref cascite changed ?? PubChem 16206854 PubChem Ref Pubchemcite correct Pubchem ChemSpiderID 13375217 ChemSpiderID Ref chemspidercite correct chemspider SMILES O1OO1 StdInChI 1S O3 c1 2 3 1 StdInChI Ref stdinchicite correct chemspider StdInChIKey XQOAKYYZMDCSIA UHFFFAOYSA N StdInChIKey Ref stdinchicite correct chemspider Section2 Chembox Properties O 3 ExactMass 47.984743866 g mol sup 1 sup Cyclic ozone is a theoretically predicted form of ozone . Like ordinary ozone O sub 3 sub , it would have three oxygen atoms. It would differ from ordinary ozone how those three oxygen atoms are arranged. In ordinary ozone, the atoms are arranged in a bent line in cyclic ozone they would form an equilateral triangle . Some of properties of cyclic ozone have been predicted theoretically. It should have more energy than ordinary ozone. ref Cite journal last Hoffmann first ... reported that tiny quantities of cyclic ozone exist at the surface of magnesium oxide crystals in air ..., Eric Landree, Laurence D. Marks, and Marija Gajdardziska Josifovska title Cyclic Ozone Identified ... 1998PhRvL..81.4891P ref Cyclic ozone has not been made in bulk, although at least one researcher has ... To Create Cyclic Ozone journal Science Daily volume issue pages publisher location date February ... 05 ref It has been speculated that, if cyclic ozone could be made in bulk, and it proved to have good ... more details
There are many terms in mathematics that begin with cyclicCyclic chain rule , for derivatives, used in thermodynamics Cyclic code , linear codes closed under cyclic permutations Cyclic convolution , a method of combining periodic functions Cycle decomposition graph theory Cycle decomposition group theory Cyclic extension , a field extension with cyclic Galois group Cycle graph or cyclic graph is a connected, 2 regular graph Cycle graph algebra , a diagram representing the cycles determined by taking powers of group elements Circulant graph , a graph whose adjacency matrix is circulant Cycle graph theory , a nontrivial path from a node to itself Cyclic group , a group generated by a single element Cyclic homology , an approximation of K theory used in non commutative differential geometry Cyclic module , a module generated by a single element Cyclic notation , a way of writing permutations Cyclic number , a number such that cyclic permutations of the digits are successive multiples of the number Cyclic order , a binary relation for doubly linked lists Cyclic permutation , a permutation with one nontrivial orbit Cyclic polygon , a polygon which can be given a circumscribed circle Cyclic shift , also known as circular shift Cyclic symmetry , n fold rotational symmetry of 3 dimensional space See also Cycle disambiguation Cycle mathematics Category Mathematics related lists sv Cyklisk matematik ... more details
Cyclic succession is a pattern of vegetation change in which in a small number of species tend to replace ... of cyclic replacement have provided evidence against traditional Frederic Clements Clementsian views of an end state climax community with stable species compositions. Cyclic succession is one of several kinds of ecological succession , a concept in community ecology . When used narrowly, cyclic ... Blackwell. ISBN 0865423504, 9780865423503 ref However, broader cyclic processes can also be observed ... frame right Graphic Model of Cyclic Succession These examples differ from the classic cases of cyclic succession discussed below in that entire species groups are exchanged, as opposed to one species for another. On geologic time scales, climate cycles can result in cyclic vegetation changes ... . Cyclic climate and vegetation change in the late Miocene of Western Bulgaria. Palaeogeography, Palaeoclimatology, Palaeoecology serial online . pp. 272 1 2 99 114. ref History The cyclic model of succession ... of species, whose cyclic behavior can be characterized by patch dynamics . Based on the current composition ... in scientific ecology. Modeling cyclic succession Image CyclicMatrix.png thumb 200px right Cyclic Succession Matrix The cyclic model of succession can be displayed in terms of a transition matrix ..., Inc., pp. 180 186. ISBN 978 0 87893 318 1 ref The three states in the simplest cyclic model ... tolerance models of succession, the key feature of the cyclic model is that A and B are not autosuccession ... open or become occupied by either A or B. This configuration results in a cyclic scheme of species dominance ecology dominance . Mechanisms Cyclic succession is a descriptive phenomenon that can ... of interspecific relationships satisfies the conditions described in the model above, a cyclic ... also be indirect drivers for cyclic succession if they differentially modulate plant life history properties ... 656. http www.jstor.org stable 2259156. ref Watt noted that cyclic fluctuations in mortality rate could ... more details
for the mathematical cyclic sets cyclic category In music , a cyclic set is a set music set , whose alternate elements unfold Complement music Rule of twelve complementary interval cycle cycles of a single interval music interval . ref name Perle Perle, George 1996 . Twelve Tone Tonality , p.21. ISBN 0 520 20142 6. ref Those cycles are ascending and descending, being related by inversion since complementary Image Berg s Lyric Suite cyclic set.png thumb center 400px Cyclic set sum 9 from Alban Berg Berg s Lyric Suite , and complementary interval cycle s P7 and I5 producing the cyclic set ref name Perle In the above example, as explained, one interval 7 and its compliment 7 5 , creates two series of pitches starting from the same note 8 P7 8 7 3 7 10 7 5 ... 1 7 8 I5 8 5 1 5 6 5 11 ... 3 5 8 According to George Perle , a Klumpenhouwer network is a chord music chord musical analysis analyzed in terms of its Dyad music dyadic Inversion music Musical set theory sums and interval music differences , and, this kind of analysis of triad music triadic combinations was implicit in, his, concept of the cyclic set from the beginning ref name Perle Perle, George 1993 . Letter from George Perle , Music Theory Spectrum , Vol. 15, No. 2 Autumn , pp. 300 303. ref . File Berg s Lyric Suite cyclic set overlapping three note segments.png thumb center 400px Overlapping three note segments, ref name Perle of the sum 9 cyclic set A cognate set is a set created from joining two sets related through inversion music inversion such that they share a single series of dyads ref name Perle 22 Perle 1996 , p.22. ref . Image Cognate set on C.png thumb center 400px Cognate set created from paired interval 7 cycles of sum 0 ref name Perle 22 0 7 2 9 4 11 6 1 8 3 10 5 0 0 5 10 3 8 1 6 11 4 9 2 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 The two cycles may also be aligned as pairs of sum 7 or sum 5 dyads ref name Perle 22 . All together these pairs of cycles form a set complex , any cyclic set of the set complex may ... more details
Image Cyclic adenosine monophosphate 2D skeletal.png thumb Cyclic adenosine monophosphate Image CGMP.png thumb Cyclic guanosine monophosphate A cyclic nucleotide is any nucleotide in which the phosphate group is bonded to two of the sugar s hydroxyl groups, forming a cyclical or ring structure. These include cyclic AMP cyclic GMP cyclic ADP ribose These function as second messenger s associated with G protein s and calcium signaling . External links MeshName Nucleotides, Cyclic Nucleobases, nucleosides, and nucleotides Category Nucleotides Biochem stub et Ts klilised nukleotiidid nl Cyclisch nucleotide no Syklisk nukleotid sr Cikli ni nukleotid ... more details
Cyclic salt is salt that is carried by the wind when it comes in contact with breaking waves. It is estimated that more than 300 million tons of cyclic salt is deposited on the Earth s surface each year, and it is considered to be a significant factor in the chlorine content of the Earth s river water. ref Kostock, Dennis. http pubs.usgs.gov usbmic ic 9343 ic9343.pdf The Material Flow of Salt. U.S. Department of the Interior, Bureau of Mines, Information Circular 9343, 1990 , pg. 4. ref ref Bulletin United States Geological Survey, Issue 330. Harvard The Survey, 1908 , 48. ref In general, cyclic salt deposits are lower at sites further inland and are most abundant along the shoreline, although this pattern varies depending on the given environmental conditions. ref Clarke, Frank Wigglesworth. The data of geochemistry, in Issue 491 of U.S. Geological Survey Bulletin. Government Printing Office, 1911 , 138 139. ref BR Us of the term cyclic refers to the cycle in which the salt moves from sea to land and is then washed by rainwater back to the sea. The salt and other solid matter cannot evaporate as water does. Instead it leaves the ocean surface in fine droplets of drop impacts or bubble bursts. Wave crests and other turbulence form foam. When drops splash or bubbles burst, fine droplets of solute are ejected from the water or bubble surface into the air. Some of the droplets are small enough to allow the water to evaporate before it falls back into the sea, leaving in the air a mote of the File Sea salt e dp hg.svg solid residue light enough to stay suspended by Brownian motion and be carried away on the wind. BR References reflist Further reading cite journal doi 10.1007 BF01349180 title The effect of cyclic salt in a maritime environment year 1968 last1 Cassidy first1 N. G. journal Plant and Soil volume 28 pages 106 cite journal doi 10.1071 AR9540448 title Cyclic salt as a dominant factor in the genesis of soils in South Eastern Australia year 1954 last1 Downes first1 ... more details
Image Cyclovoltammogram.jpg thumb 300px right Typical cyclic voltammogram where math i pc math and math i pa math show the peak cathodic and anodic current respectively for a reversible reaction. Cyclic .... In a cyclic voltammetry experiment the working electrode potential is ramped linearly versus time like linear sweep voltammetry . Cyclic voltammetry takes the experiment a step further than linear sweep voltammetry which ends when it reaches a set potential. When cyclic voltammetry reaches a set ... voltage to give the cyclic voltammogram trace. Cyclic voltammetry is generally used to study the electrochemical ... Electrode Polarography. Single Scan and Cyclic Methods Applied to Reversible, Irreversible ... Cyclic Voltammetry Electrochemical Spectroscopy . New Analytical Methods 25 journal Angewandte Chemie ... thumb 300px right cyclic voltammetry waveform In cyclic voltammetry, the electrode ... rate. This relationship is described by the Cottrell equation . Characterization The utility of cyclic ... are observed bordwell thermodynamic cycle thermodynamic information in the form of half cell potential ... sub 1 2 sub is with cyclic voltammetry. This E sup 0 sup sub 1 2 sub can be determined, however it often ... cyclic voltammetry can not determine if the wave is at its thermodynamic potential or shifted to a more extreme potential by some form of overpotential . The couple could be irreversible because ... some form of precipitation chemistry precipitation as discussed below. Some speculation can be made in regards to irreversible waves however they are generally outside the scope of cyclic voltammetry .... Electrodes are static and sit in unstirred solutions during cyclic voltammetry. This still solution method results in cyclic voltammetry s characteristic diffusion controlled peaks. This method ... redox activity. Stirring the solution between cyclic voltammetry traces is important as to supply ... change drastically with its overall charge. Since cyclic voltammetry usually alters the charge of the analyte ... more details
math 1 x x 3 math . In fact, any binary Hamming code of the form Ham 2,q is equivalent to a cyclic ... and the last of which are nonzero. In polynomial formcyclic burst of length math t math can be described ...In coding theory , cyclic codes are linear code linear block error correcting codes that have convenient ... a cyclic code , if for every codeword c c sub 1 sub ,..., c sub n sub from C , the word c sub n sub , c sub 1 sub ,..., c sub n 1 sub in math GF q n math obtained by a circular shift cyclic right ... &minus 1 left shifts and vice versa. Therefore the linear code math mathcal C math is cyclic precisely when it is invariant under all cyclic shifts. Cyclic Codes have some additional structural ... because of which the encoding and decoding algorithms for cyclic codes are computationally efficient. Algebraic structure Cyclic codes can be linked to ideals in certain rings. Let math R A x x n 1 math be a polynomial ring over the finite field math A GF q math . Identify the elements of the cyclic ... 0 c 1x cdots c n 1 x n 1 math thus multiplication by x corresponds to a cyclic shift. Then C is an Ideal ... g . ref van Lint, p.76 ref This must be a divisor of math x n 1 math . It follows that every cyclic ... of the code. An irreducible code is a cyclic code in which the code, as an ideal, is maximal in R , so ... and n 3, the set of codewords contained in the 1,1,0 cyclic code is precisely math 0,0,0 , 1,1,0 , 0,1,1 ... to the codeword 0,1,1 . Trivial examples Trivial examples of cyclic codes are A sup n sup ... x 1 math . Again over GF 2 this must always be a factor of math x n 1 math . Quasi cyclic codes and shortened codes Before delving into the details of cyclic codes first we will discuss quasi cyclic and shortened codes which are closely related to the cyclic codes and they all can be converted into each other. Definition Quasi cyclic codes An math n,k math quasi cyclic code is a linear block code ... called generator polynomial . Note that every codeword polynomial can be expressed in the form ... more details
cosmology A cyclic model is any of several cosmological model s in which the universe follows infinite ... notably Albert Einstein , considered the possibility of a cyclic model for the universe as an everlasting ... provided new hope for a consistent cyclic cosmology. ref name Frampton 2006 cite arXiv author P.H. Frampton title On Cyclic Universes eprint astro ph 0612243 class astro ph year 2006 ref In 2011, a five ... ref One new cyclic model is a brane cosmology model of the Big Bang creation of the universe , derived ... Steinhardt, N. Turok title Cosmic Evolution in a Cyclic Universe year 2001 issue 12 volume 65 doi .....65l6003S ref ref name Steinhardt, Turok 2001b cite journal author P.J. Steinhardt, N. Turok title A Cyclic ... could potentially explain why a mysterious repulsive form of energy known as the cosmological constant ... than predicted by the standard Big Bang model. A different cyclic model relying on the notion of phantom ... of Contracting Universe in Cyclic Cosmology year 2007 pages 33 volume 23 doi 10.1142 S0217732308026170 ... Turok model In this cyclic model, two parallel orbifold planes or Membrane M Theory ... 2004 cite journal author P.J. Steinhardt, N. Turok title The Cyclic Model Simplified year 2004 ... of the universe. As Richard C. Tolman showed, the earlier cyclic model failed because the universe ... cyclic model evades this by having a net expansion each cycle, preventing entropy from building ... 97800994488644 ref The Baum Frampton model This more recent cyclic model of 2007 makes a different ... title Turnaround in Cyclic Cosmology author L. Baum and P.H. Frampton journal Physical Review Letters .... The idea that the universe comes back empty is a central new idea of this cyclic model, and avoids ... w 1 condition may be logically inevitable in a truly infinitely cyclic cosmology because of the entropy ... can be made arbitrarily close to, but must be less than, 1. Notes reflist See also Conformal Cyclic ... 0486653838 cite journal author L. Baum and P.H. Frampton title Turnaround in Cyclic Cosmology journal ... more details
Season Seasonal changes in weather can create cyclic sediments in the form of alternating bands ...Cyclic sediments also called rhythmic sediments ref name Ferrero cite book last V Cotti Ferrero first Celestina authorlink coauthors title Encyclopedia of Sediments and Sedimentary Rocks publisher Springer Science Business Media Springer date 2004 01 01 location url doi isbn 1 4020 0872 4 ref are sequence geology sequences of sedimentary rock s that are characterised by repetitive patterns of different rock types stratum strata within the sequence. Cyclic sediment s can be identified as either autocyclic or allocyclic, and can be hundreds or even thousands of metres thick. The study of sequence stratigraphy was developed from controversies over the causes of cyclic sedimentation. ref name Emery cite book last Emery first authorlink coauthors title Sequence Stratigraphy publisher Blackwell Publishing date 1996 10 01 location url doi isbn 0 632 03706 7 ref Processes that create cyclic sediments Cyclic sedimentation occurs when there is a repetition of a specific series of connected events that affects the natural environment environment the sediments are Deposition sediment deposited in. Changes in the Sedimentary depositional environment environment of deposition change the type and amount ... Based on the processes that generate the cyclic deposits, two types of sedimentary cyclic successions autocycles and allocycles can be distinguished. Autocycles Autocycles are cyclic sediments that are created ... are limited. The time period over which autocycles form are usually less than the time periods of allocyclic ... extend over great distances. ref name Flugel Changes in sea level can create cyclic sediments of limestone ... with the study of cyclic sediments The debate about the causes of cyclic sedimentation has been contentious ... the origin of cyclic sedimentation and the relative importance of eustatic and tectonic factors on sea level change. ref name Emery Another problem with the study of cyclic sediments is that different ... more details
Image DC8.png right In mathematics , a cyclic order is a way to arrange a set of objects in a circle . ref cyclic order nb Unlike most structures in order theory , a cyclic order cannot be modeled as a binary relation math a b . One does not say that east is more clockwise than west. Instead, a cyclic ... before mvar c . For example, June, October, February . A ternary relation is called a cyclic order if it is The cyclic order relation cyclic, asymmetric, transitive, and total . Dropping the total requirement results in a partial cyclic order . A set mathematics set with a cyclic order is called a cyclically .... Cyclic orders are closely related to linear order s, which arrange objects in a line geometry line . Any linear order can be bent into a circle, and any cyclic order can be cut at a point, resulting ... that questions about cyclic orders can often be transformed into questions about linear orders, which ... with other mathematical structures. The integer s form a linearly ordered group mathematics group math Z , whose quotient by a number mvar n , the finite cyclic group math Z n , is circularly orderable but not linearly orderable. The real number s form a linearly ordered topological space math ... and fixed points cycle of a permutation . Finite cyclic group math Z sub n sub torsor sfn Brown 1987 p 52 A cyclic order on a set mvar X with mvar n elements is an arrangement of mvar X as on a clock .... It can be instinctive to use cyclic orders for symmetric function s, for example as in math ... use of cyclic orders is in the determination of the conjugacy class es of free group s. Two elements ... products are put in cyclic order, the cyclic orders are equivalent under the rewriting rules that allow one to remove or add adjacent mvar y and math y sup &minus 1 sup . A cyclic order on a set mvar ... a given cyclic order. Since there are math n possible linear orders, there are math 1 n n n &minus 1 possible cyclic orders. Definitions An infinite set can also be ordered cyclically. Important examples ... more details
old girls . ref Haar, Orlande de Lassus , Grove ref See also Cyclicform Cantus firmus mass Paraphrase ...In Renaissance music , the cyclic mass was a setting of the Ordinary of the Mass Ordinary of the Roman Catholic Church Roman Catholic Mass liturgy Mass , in which each of the movements Kyrie, Gloria, Credo, Sanctus, and Agnus Dei shared a common musical theme, commonly a cantus firmus , thus making it a unified whole. The cyclic mass was the first multi movement form in western music to be subject to a single organizing principle. The period of composition of cyclic masses was from about 1430 until around 1600, although some composers, especially in conservative musical centers, wrote them after that date. Types of cyclic masses include the Motto mass motto mass or head motif mass , cantus firmus mass , paraphrase mass , parody mass , as well as masses based on combinations of these techniques. History Prior to complete settings of the Mass Ordinary by a single composer, which had become the norm by around the middle of the 15th century, composers often set pairs of movements. Gloria Credo pairs, as well as Sanctus Agnus Dei pairs, are found in many manuscripts of the early 15th century, by composers such as Johannes Ciconia , Arnold de Lantins and Zacara da Teramo . While it is possible that some of these composers wrote an entire setting of the mass, no complete cyclic setting by a single composer has survived. The Messe de Nostre Dame by Guillaume de Machaut c. 1300 1377 , which ... not considered to be a true cyclic mass. Some mass cycles from the period 1420 1435, especially ... of a mass that was otherwise unified stylistically. ref Gomez, Mass, Grove. ref The true cyclic mass ... cyclic masses. The cantus firmus, which at first was drawn from Gregorian chant, but later from ..., in particular, used the method into the 16th century . Some other methods of organizing cyclic ... many voices from a polyphonic source to unify the different movements of a cyclic mass. Parody ... more details
In mathematics , more specifically in ring theory , a cyclic module is a module mathematics module over a ring which is generated by one element. The term is by analogy with cyclic group s, that is groups which are generated by one element. Definition A left R module M is called cyclic if M can be generated by a single element i.e. M x R x rx r &isin R for some x in M . Similarly, a right R module N is cyclic, if N y R for some y &isin N . Examples Every cyclic group is a cyclic Z module. Every simple module simple R module M is a cyclic module since the submodule generated by any nonzero element x of M is necessarily the whole module M . If the ring R is considered as a left module over itself, then its cyclic submodules are exactly its left principal ideal s as a ring. The same holds for R as a right R module, mutatis mutandis . If R is F x , the ring over polynomials over a field F , and V is an R module which is also a finite dimensional vector space over F, then the Jordan block s of x acting on V are cyclic submodules. The Jordan blocks are all isomorphic to F x x &lambda sup n sup there may also be other cyclic submodules with different annihilators see below. Properties Given a cyclic R module M which is generated by x then there exists a canonical isomorphism between M and R Ann sub R sub x , where Ann sub R sub x denotes the Annihilator ring theory annihilator of x in R . See also cyclic group finitely generated module References cite book author B. Hartley authorlink Brian Hartley coauthors T.O. Hawkes title Rings, modules and linear algebra publisher Chapman and Hall year 1970 isbn 0 412 09810 5 pages 77,152 Pages 147 149 of Lang Algebra edition 3 Category Module theory Abstract algebra stub sv Cyklisk modul fr Module monog ne ... more details
A cyclic executive is an alternative to a real time operating system . It is a form of cooperative multitasking , in which there is only one Task computers task . The sole task is typically realized as an infinite loop in main , e.g. in C C . The basic scheme is to cycle through a repeating sequence of activities, at a set frequency. For example, let us consider the example of an embedded system designed to monitor a temperature sensor and update an LCD display. The LCD may need to be written ten times a second i.e., every 100 ms . If the temperature sensor must be read every 50 ms for other reasons, we might construct a loop of the following appearance pre main initialization code here while 1 currTemp tempRead lcdWrite currTemp waste CPU cycles until 50 ms currTemp tempRead do other stuff waste CPU cycles until 100 ms pre The outer 100 ms cycle is called the major cycle. In this case, there is also an inner minor cycle of 50 ms. See also Preemption computing Real Time Operating System Category Operating system technology Category Concurrent computing ... more details
. The processes by which cyclic peptides are formed in cells are not yet fully understood. One interesting property of cyclic peptides, however, is that they tend to be extremely resistant to the process ... makes cyclic peptides attractive to designers of protein based drugs that may be used as scaffolds ... pmid 16543448 External links http www.cybase.org.au Cybase MeshName Cyclic Peptides Category ... more details
Unreferenced date April 2011 A cyclic permutation or circular permutation is a permutation built from one or more Set mathematics sets of elements in cyclic order . The notion cyclic permutation is used in different, but related ways Definition 1 image 050712 perm 1.png right mapping of permutation A permutation P over a Set mathematics set S with k elements is called a cyclic permutation with offset t if and only if the elements of S may be total order ordered c 1 c 2 ... c k and the mapping of P may be written as p c i c i t for i 1, 2, ..., k &minus t , and p c i c i t &minus k for i k &minus t 1, k &minus t 2, ..., k . Note Every cyclic permutation of definition type 1 will be constructed with exactly greatest common divisor gcd k , t disjoint cycles of equal length see cycles and fixed points . Cyclic permutations of definition type 1 are also called rotations , or circular shifts . Example math begin pmatrix 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 3 & 4 & 5 & 7 & 6 & 1 & 8 & 2 end pmatrix begin pmatrix 1 & 2 & 3 & 4 & 5 & 7 & 6 & 8 3 & 4 & 5 & 7 & 6 & 8 & 1 & 2 end pmatrix 1356 2478 math is a cyclic permutation with offset 2. It may be constructed with gcd 8, 2 2 cycles see image. The used order is c 6 7, c 7 6, c i i else. Definition 2 image 050712 perm 2.png right mapping of permutation A permutation is called a cyclic ... over a set with k elements is a cyclic permutation of definition type 2 if and only if it is a cyclic ... right mapping of permutation A permutation is called a cyclic permutation if and only if only one of the constructing cycles will have length 1. Note Every cyclic permutation of definition type 3 may be seen as an union mathematics union of a cyclic permutation of definition type 2 and some fixed point mathematics fixed points . Every cyclic permutation of definition type 2 may be seen as a cyclic ... 4 & 6 & 8 & 3 & 7 & 1 & 2 & 5 end pmatrix 146837 2 5 math See also Cyclic permutation of integer Cycle ... more details
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