Loading...
  • finite cycli
  • A cycle with n elements is also a Zn-torsor: a set with a free transitive action by a finite cyclic group. (wikipedia.org)
  • For every positive integer n, the set of integers modulo n, again with the operation of addition, forms a finite cyclic group, the group Z/(n). (wikipedia.org)
  • The set of rotational symmetries of a polygon forms a finite cyclic group. (wikipedia.org)
  • Peptides
  • Cyclic peptides are polypeptide chains which contain a circular sequence of bonds. (wikipedia.org)
  • Many cyclic peptides have been discovered in nature and many others have been synthesized in the laboratory. (wikipedia.org)
  • Cyclic peptides can be classified according to the types of bonds that comprise the ring. (wikipedia.org)
  • Homodetic cyclic peptides, such as cyclosporine A, are those in which the ring is composed exclusively of normal peptide bonds (i.e. between the alpha carboxyl of one residue to the alpha amine of another). (wikipedia.org)
  • Some cyclic depsipeptides are cyclized between the C-terminal carboxyl and the side chain of a Thr or Ser residue in the chain, such as kahalalide F, theonellapeptolide, and didemnin B. Bicyclic peptides such as the amatoxin amanitin and the phallotoxin phalloidin contain a bridging group, generally between two of the side chains. (wikipedia.org)
  • Other bicyclic peptides include echinomycin, triostin A, and Celogentin C. There are a number of cyclic peptide hormones which are cyclized through a disulfide bond between two cysteines, for example somatostatin and oxytocin. (wikipedia.org)
  • Cyclic peptides tend to be extremely resistant to the process of digestion, enabling them to survive in the human digestive tract. (wikipedia.org)
  • Cyclic citrullinated peptide antibodies are autoantibodies produced by the immune system that are directed against cyclic citrullinated peptides (CCP). (labtestsonline.org)
  • phosphodiesterases
  • Since the initial publications by Sutherland, Rall, and Butcher in the late fifties and early sixties on high levels of adenylate cyclase, phosphodiesterases, and cyclic AMP in brain, the ensuing litera- ture of this field has expanded exponentially. (springer.com)
  • atoms
  • cyclic compound, any one of a class of compounds whose molecules contain a number of atoms bonded together to form a closed chain or ring. (encyclopedia.com)
  • refers
  • Use 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. (wikipedia.org)
  • In telecommunications, the term cyclic prefix refers to the prefixing of a symbol, with a repetition of the end. (wikipedia.org)
  • When used narrowly, 'cyclic succession' refers to processes not initiated by wholesale exogenous disturbances or long-term physical changes in the environment. (wikipedia.org)
  • theorem
  • Ptolemy's theorem expresses the product of the lengths of the two diagonals e and f of a cyclic quadrilateral as equal to the sum of the products of opposite sides: e f = a c + b d . {\displaystyle \displaystyle ef=ac+bd. (wikipedia.org)
  • This is known as the intersecting chords theorem since the diagonals of the cyclic quadrilateral are chords of the circumcircle. (wikipedia.org)
  • chemically
  • The present invention relates to cyclic siloxanes suitable for use in a variety of applications including personal care formulations, household products, automotive, textiles and molding materials wherein the cyclic siloxane has been chemically modified to release an active ingredient upon hydrolysis. (google.com)
  • integers
  • Every infinite cyclic group is isomorphic to the additive group of Z, the integers. (wikipedia.org)
  • It is an infinite cyclic group, because all integers can be written as a finite sum or difference of copies of the number 1. (wikipedia.org)
  • For every positive integer n, the subset of the integers modulo n that are relatively prime to n, with the operation of multiplication, forms a finite group that for many values of n is again cyclic. (wikipedia.org)
  • displaystyle
  • The area K of a cyclic quadrilateral with sides a, b, c, d is given by Brahmagupta's formula K = ( s − a ) ( s − b ) ( s − c ) ( s − d ) {\displaystyle K={\sqrt {(s-a)(s-b)(s-c)(s-d)}}\,} where s, the semiperimeter, is s = 1/2(a + b + c + d). (wikipedia.org)
  • The area of a cyclic quadrilateral with successive sides a, b, c, d and angle B between sides a and b can be expressed as K = 1 2 ( a b + c d ) sin ⁡ B {\displaystyle K={\tfrac {1}{2}}(ab+cd)\sin {B}} or K = 1 2 ( a c + b d ) sin ⁡ θ {\displaystyle K={\tfrac {1}{2}}(ac+bd)\sin {\theta }} where θ is either angle between the diagonals. (wikipedia.org)
  • T ) {\displaystyle V=Z(v;T)} , then v {\displaystyle v} is called a cyclic vector for T {\displaystyle T} . There is another equivalent definition of cyclic spaces. (wikipedia.org)
  • cn-1) in G F ( q ) n {\displaystyle GF(q)^{n}} obtained by a cyclic right shift of components is again a codeword. (wikipedia.org)
  • Therefore the linear code C {\displaystyle {\mathcal {C}}} is cyclic precisely when it is invariant under all cyclic shifts. (wikipedia.org)
  • Identify the elements of the cyclic code C with polynomials in R such that ( c 0 , … , c n − 1 ) {\displaystyle (c_{0},\ldots ,c_{n-1})} maps to the polynomial c 0 + c 1 x + ⋯ + c n − 1 x n − 1 {\displaystyle c_{0}+c_{1}x+\cdots +c_{n-1}x^{n-1}} : thus multiplication by x corresponds to a cyclic shift. (wikipedia.org)
  • Quasi-cyclic codes:[citation needed] An ( n , k ) {\displaystyle (n,k)} quasi-cyclic code is a linear block code such that, for some b {\displaystyle b} which is coprime to n {\displaystyle n} , the polynomial x b c ( x ) ( mod x n − 1 ) {\displaystyle x^{b}c(x){\pmod {x^{n}-1}}} is a codeword polynomial whenever c ( x ) {\displaystyle c(x)} is a codeword polynomial. (wikipedia.org)
  • A quasi-cyclic code with b {\displaystyle b} equal to 1 {\displaystyle 1} is a cyclic code. (wikipedia.org)
  • Shortened codes: An [ n , k ] {\displaystyle [n,k]} linear code is called a proper shortened cyclic code if it can be obtained by deleting b {\displaystyle b} positions from an ( n + b , k + b ) {\displaystyle (n+b,k+b)} cyclic code. (wikipedia.org)
  • The message symbol can be written as: d = [ d 0 , d 1 , … d N − 1 ] T {\displaystyle \mathbf {d} =[d_{0},d_{1},\ldots d_{N-1}]^{T}} The OFDM symbol is constructed by taking the inverse discrete Fourier transform (IDFT) of the message symbol, followed by a cyclic prefixing. (wikipedia.org)
  • closely
  • Cyclic orders are closely related to the more familiar linear orders, which arrange objects in a line. (wikipedia.org)
  • Engineers try to design mechanisms whose parts are subjected to a single type (bending, axial, or torsional) of cyclic stress because this more closely matches experiments used to characterize fatigue failure in different materials. (wikipedia.org)
  • 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. (wikipedia.org)
  • structures
  • Cycles have more symmetries than linear orders, and they often naturally occur as residues of linear structures, as in the finite cyclic groups or the real projective line. (wikipedia.org)
  • An example of cyclic axial stress would be a bungee cord (see bungee jumping), which must support the mass of people as they jump off structures such as bridges. (wikipedia.org)
  • Six-membered cyclic structures like glucose are called "pyranose," after the hexagonal pyran molecule, which has 5 carbons and an oxygen in its ring just like glucose. (ehow.co.uk)
  • circular
  • In coding theory, a cyclic code is a block code, where the circular shifts of each codeword gives another word that belongs to the code. (wikipedia.org)
  • So, to mimic the infinite behavior, prefixing the end of the symbol to the beginning makes the linear convolution of the channel appear as though it were circular convolution, and thus, preserve this property in the part of the symbol after the cyclic prefix. (wikipedia.org)
  • Glucose prefers the cyclic (circular) shape in solution, but at equilibrium some 0.02 per cent of glucose rings are open, i.e., in the "dry form. (ehow.co.uk)
  • symmetry
  • In combinatorial mathematics, cyclic sieving is a phenomenon by which evaluating a generating function for a finite set at roots of unity counts symmetry classes of objects acted on by a cyclic group. (wikipedia.org)
  • In three or higher dimensions there can exist other finite symmetry groups that are cyclic, but that do not form the set of rotations around a single axis. (wikipedia.org)
  • The idea that the universe "comes back empty" is a central new idea of this cyclic model, and avoids many difficulties confronting matter in a contracting phase such as excessive structure formation, proliferation and expansion of black holes, as well as going through phase transitions such as those of QCD and electroweak symmetry restoration. (wikipedia.org)
  • example
  • It can be instinctive to use cyclic orders for symmetric functions, for example as in xy + yz + zx where writing the final monomial as xz would distract from the pattern. (wikipedia.org)
  • Anna Poletti, in her book Intimate Ephemera: Reading Young Lives in Australian Zine Culture listed Cyclic Defrost as an example of Australian DIY culture, describing it as, Contemporary Australian DIY culture has an equally strong interest in skill-sharing and development, non-commercial modes of circulation and distribution, and practices of craft and thrift as sources of pleasure and community-building which seek no greater effect than their own existence. (wikipedia.org)
  • An example of a quadrilateral that cannot be cyclic is a non-square rhombus. (wikipedia.org)
  • This is called a cyclic bending stress and the aerial lift above is a good example. (wikipedia.org)
  • Another salient example of cyclic replacement occurs in a two-species plant community in the Sonoran Desert. (wikipedia.org)
  • episodes
  • People with cyclic neutropenia have these health problems only during episodes of neutropenia. (wikipedia.org)
  • You can help prevent cyclic vomiting episodes by avoiding foods that may trigger them. (nih.gov)
  • infinite
  • Every infinite cyclic group is isomorphic to this group. (wikipedia.org)
  • There also exist other infinite rotation groups (such as the set of rotations by rational angles) that are countable but not cyclic. (wikipedia.org)
  • A cyclic model (or oscillating model) is any of several cosmological models in which the universe follows infinite, or indefinite, self-sustaining cycles. (wikipedia.org)
  • equivalent
  • Two elements g and h of the free group F on a set Y are conjugate if and only if, when they are written as products of elements y and y−1 with y in Y, and then those products are put in cyclic order, the cyclic orders are equivalent under the rewriting rules that allow one to remove or add adjacent y and y−1. (wikipedia.org)
  • Choosing a linear order is equivalent to choosing a first element, so there are exactly n linear orders that induce a given cyclic order. (wikipedia.org)
  • possibility
  • Currently, the possibility of cyclic ozone is confirmed within diverse theoretical approaches. (wikipedia.org)
  • In the 1920s, theoretical physicists, most notably Albert Einstein, considered the possibility of a cyclic model for the universe as an (everlasting) alternative to the model of an expanding universe. (wikipedia.org)
  • protein
  • ELANE gene mutations that cause cyclic neutropenia lead to an abnormal neutrophil elastase protein that seems to retain some of its function. (wikipedia.org)
  • Cyclic Defrost was chosen as a case study for the Australia Council for the Arts' Fuel 4 Arts' Protein project in 2005 based on it receiving a 'New Audiences' grant in 2002. (wikipedia.org)
  • typically
  • Neutropenia makes it more difficult for the body to fight off pathogens such as bacteria and viruses, so people with cyclic neutropenia typically develop recurrent infections of the sinuses, respiratory tract, and skin. (wikipedia.org)
  • Fatigue failure is typically modeled by decomposing cyclic stresses into mean and alternating components. (wikipedia.org)
  • The receiver is typically configured to discard the cyclic prefix samples, but the cyclic prefix serves two purposes: It provides a guard interval to eliminate intersymbol interference from the previous symbol. (wikipedia.org)
  • mathematics
  • In mathematics, a cyclic order is a way to arrange a set of objects in a circle. (wikipedia.org)
  • In mathematics, in linear algebra, a cyclic subspace is a certain special subspace of a finite-dimensional vector space associated with a vector in the vector space and a linear transformation of the vector space. (wikipedia.org)
  • thus
  • In Renaissance music, the cyclic mass was a setting of the Ordinary of the Roman Catholic 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. (wikipedia.org)
  • gene
  • Cyclic neutropenia is the result of autosomal dominantly inherited mutations in ELA2, the gene encoding neutrophil elastase, and is estimated to occur in 1 in 1 million individuals worldwide. (wikipedia.org)
  • Mutations in the ELANE gene cause cyclic neutropenia. (wikipedia.org)
  • Cyclic neutropenia is inherited in an autosomal dominant pattern, which means one copy of the altered gene in each cell is sufficient to cause the disorder. (wikipedia.org)
  • multiplication
  • It is the group under multiplication modulo n, and it is cyclic whenever n is 1, 2, 4, a power of an odd prime, or twice a power of an odd prime. (wikipedia.org)
  • However
  • However in the common case of spirally arranged sepals on an otherwise cyclic flower, the term hemicyclic may be used. (wikipedia.org)
  • However, cyclic axial stresses and cyclic torsional stresses also exist. (wikipedia.org)
  • However, work by Richard C. Tolman in 1934 showed that these early attempts failed because of the cyclic problem: according to the Second Law of Thermodynamics, entropy can only increase. (wikipedia.org)
  • However, the newer cyclic model evades this by having a net expansion each cycle, preventing entropy from building up. (wikipedia.org)
  • However, broader cyclic processes can also be observed in cases of secondary succession in which regular disturbances such as insect outbreaks can 'reset' an entire community to a previous stage. (wikipedia.org)
  • bent
  • Any linear order can be bent into a circle, and any cyclic order can be cut at a point, resulting in a line. (wikipedia.org)
  • composition
  • 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. (wikipedia.org)
  • Rather, it is the aggregate composition of species that gives rise to the cyclic process. (wikipedia.org)
  • form
  • Cyclic ozone is a theoretically predicted form of ozone. (wikipedia.org)
  • in cyclic ozone, they would form an equilateral triangle. (wikipedia.org)
  • The cyclic mass was the first multi-movement form in western music to be subject to a single organizing principle. (wikipedia.org)
  • Cyclic neutropenia (or cyclical neutropenia) is a form of neutropenia, a white blood cell deficiency, that tends to occur every three weeks and lasts three to six days at a time due to changing rates of cell production by the bone marrow. (wikipedia.org)
  • A third cyclic isomer is called the "boat form," because the hexagon shape is cuplike. (ehow.co.uk)
  • Representation of the cyclic form can be done as a flat structure or in a way that indicates the true angles of the bonds. (ehow.co.uk)
  • pattern
  • 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. (wikipedia.org)
  • Cyclic succession is a pattern of vegetation change in which in a small number of species tend to replace each other over time in the absence of large-scale disturbance. (wikipedia.org)
  • If the milieu of interspecific relationships satisfies the conditions described in the model above, a cyclic pattern of succession is observed. (wikipedia.org)
  • the cyclic pattern of the last two decades. (encyclopedia.com)
  • angles
  • A kite is cyclic if and only if it has two right angles. (wikipedia.org)
  • This is a corollary of Bretschneider's formula for the general quadrilateral, since opposite angles are supplementary in the cyclic case. (wikipedia.org)
  • cycles
  • On geologic time scales, climate cycles can result in cyclic vegetation changes by directly altering the physical environment. (wikipedia.org)
  • On a GAII platform, Alta Cyclic was able to provide a large amount of useful reads after 78 cycles. (bioinformatics.org)
  • frequent
  • During the late 15th century, cantus firmus technique was by far the most frequent method used to unify cyclic masses. (wikipedia.org)
  • groups
  • A substantial use of cyclic orders is in the determination of the conjugacy classes of free groups. (wikipedia.org)
  • Every cyclic group is an abelian group (meaning that its group operation is commutative), and every finitely generated abelian group is a direct product of cyclic groups. (wikipedia.org)
  • The integer and modular addition operations, used to define the cyclic groups, are both the addition operations of commutative rings, also denoted Z and Z/(n). (wikipedia.org)
  • 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. (wikipedia.org)
  • Another
  • Another necessary and sufficient condition for a convex quadrilateral ABCD to be cyclic is that an angle between a side and a diagonal is equal to the angle between the opposite side and the other diagonal. (wikipedia.org)
  • Yet another characterization is that a convex quadrilateral ABCD is cyclic if and only if tan ⁡ α 2 tan ⁡ γ 2 = tan ⁡ β 2 tan ⁡ δ 2 = 1. (wikipedia.org)
  • Cyclic isopeptides contain at least one non-alpha amide linkage, such as a linkage between the side chain of one residue to the alpha carboxyl group of another residue, as in microcystin and bacitracin. (wikipedia.org)
  • properties
  • Some of properties of cyclic ozone have been predicted theoretically. (wikipedia.org)
  • It has been speculated that, if cyclic ozone could be made in bulk, and if it proved to have good stability properties, it could be added to liquid oxygen to improve the specific impulse of rocket fuel. (wikipedia.org)
  • Exogenous factors, such as depredation by herbivores, can also be indirect drivers for cyclic succession if they differentially modulate plant life history properties over time. (wikipedia.org)
  • cause
  • When cyclic stresses are applied to a material, even though the stresses do not cause plastic deformation, the material may fail due to fatigue. (wikipedia.org)
  • Data error (cyclic redundancy check)' any ideas on what might cause this problem and how i can fix it? (experts-exchange.com)
  • species
  • Observations of cyclic replacement have provided evidence against traditional Clementsian views of an end-state climax community with stable species compositions. (wikipedia.org)
  • In a seminal paper on vegetation patterns in grass, heath, and bog communities, Watt describes the plant community is a regenerating entity consisting of a "space-time mosaic" of species, whose cyclic behavior can be characterized by patch dynamics. (wikipedia.org)
  • The three states in the simplest cyclic model are open substrate (usually a bare patch of land), Species A dominance, and Species B dominance. (wikipedia.org)
  • Open substrate can remain open or become occupied by either A or B. This configuration results in a cyclic scheme of species dominance. (wikipedia.org)
  • It is important to note that patterns cyclic succession cannot be readily linked to any single species, as Watt's Calluna bushes have been observed in non-cyclic systems. (wikipedia.org)
  • vertices
  • In Euclidean geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle. (wikipedia.org)
  • opposite
  • Equivalently, a convex quadrilateral is cyclic if and only if each exterior angle is equal to the opposite interior angle. (wikipedia.org)
  • often
  • These operations, along with the related constructions of intervals and covering maps, mean that questions about cyclic orders can often be transformed into questions about linear orders. (wikipedia.org)
  • conditions
  • Watt noted that cyclic fluctuations in mortality rate could also be produced through differential response to seasonal conditions like frost. (wikipedia.org)