cycle, cyclic, or cyclical in Wiktionary, the free dictionary. Cycle, cycles, or cyclic may refer to: Cyclic history, a theory of history Cyclical theory...

begin with cyclic: Cyclic chain rule, for derivatives, used in thermodynamics Cyclic code, linear codes closed under cyclic permutations Cyclic convolution...

geometry, a cyclic cover or cyclic covering is a covering space for which the set of covering transformations forms a cyclic group. As with cyclic groups,...

In abstract algebra, a cyclic group or monogenous group is a group, denoted Cn (also frequently Z {\displaystyle \mathbb {Z} } n or Zn, not to be confused...

A cyclic compound (or ring compound) is a chemical compound which includes a ring. Rings have three or more atoms, and include examples where all the atoms...

A cyclic redundancy check (CRC) is an error-detecting code commonly used in digital networks and storage devices to detect accidental changes to digital...

cyclic group is a group (G, *) in which every finitely generated subgroup is cyclic. Every cyclic group is locally cyclic, and every locally cyclic group...

telecommunications, cyclic prefix is the prefixing of a symbol with a repetition of the end. The receiver is typically configured to discard the cyclic prefix samples...

A cyclic model (or oscillating model) is any of several cosmological models in which the universe follows infinite, or indefinite, self-sustaining cycles...

In geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral (four-sided polygon) whose vertices all lie on a single circle, making...

Cyclic vomiting syndrome (CVS) is a chronic functional condition of unknown pathogenesis. CVS is characterized as recurring episodes lasting a single day...

In electrochemistry, cyclic voltammetry (CV) is a type of voltammetric measurement where the potential of the working electrode is ramped linearly versus...

the binary cyclic group of the n-gon is the cyclic group of order 2n, C 2 n {\displaystyle C_{2n}} , thought of as an extension of the cyclic group C n...

In algebra, a cyclic division algebra is one of the basic examples of a division algebra over a field and plays a key role in the theory of central simple...

{\displaystyle H} . Cyclic and separating vector Halmos (1982). "Cyclic vector". Encyclopedia of Mathematics. Halmos, Paul R. (1982). "Cyclic vectors". A Hilbert...

In mathematics, in linear algebra and functional analysis, a cyclic subspace is a certain special subspace of a vector space associated with a vector in...

In mathematics, more specifically in ring theory, a cyclic module or monogenous module is a module over a ring that is generated by one element. The concept...

Cyclic adenosine monophosphate (cAMP, cyclic AMP, or 3',5'-cyclic adenosine monophosphate) is a second messenger, or cellular signal occurring within...

In mathematics, a cyclic order is a way to arrange a set of objects in a circle.[nb] Unlike most structures in order theory, a cyclic order is not modeled...

The Cyclic Poets is a shorthand term for the early Greek epic poets, who were approximate contemporaries of Homer. No more is known about those poets than...

In mathematics, a partial cyclic order is a ternary relation that generalizes a cyclic order in the same way that a partial order generalizes a linear...

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...

cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely-known cyclic number...

Cyclic peptides are polypeptide chains which contain a circular sequence of bonds. This can be through a connection between the amino and carboxyl ends...

theory, a cyclic permutation is a permutation consisting of a single cycle. In some cases, cyclic permutations are referred to as cycles; if a cyclic permutation...

class of free-by-cyclic groups have been deeply studied as important examples. A group G {\displaystyle G} is said to be free-by-cyclic if it has a free...

In mathematics, the notion of a cyclic and separating vector is important in the theory of von Neumann algebras, and, in particular, in Tomita–Takesaki...

A cyclic flower is a flower type formed out of a series of whorls; sets of identical organs attached around the axis at the same point. Most flowers consist...

noncommutative geometry and related branches of mathematics, cyclic homology and cyclic cohomology are certain (co)homology theories for associative algebras...

In mathematics, a cyclic graph may mean a graph that contains a cycle, or a graph that is a cycle, with varying definitions of cycles. See: Cycle (graph...

In mathematics, a cyclic polytope, denoted C(n, d), is a convex polytope formed as a convex hull of n distinct points on a rational normal curve in Rd...

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. They are error-correcting...

In abstract algebra, every subgroup of a cyclic group is cyclic. Moreover, for a finite cyclic group of order n, every subgroup's order is a divisor of...

Cyclic stress is the distribution of forces (a.k.a. stresses) that change over time in a repetitive fashion. As an example, consider one of the large wheels...

Conformal cyclic cosmology (CCC) is a speculative cyclocosmic cosmological model in the framework of general relativity, proposed by the theoretical physicist...

In mathematics, the cyclic category or cycle category or category of cycles is a category of finite cyclically ordered sets and degree-1 maps between them...

Cyclic reduction is a numerical method for solving large linear systems by repeatedly splitting the problem. Each step eliminates even or odd rows and...

Cyclic ozone is a theoretically predicted form of ozone. Like ordinary ozone (O=O+−O−), it would have three oxygen atoms. It would differ from ordinary...

\mathrm {t} \{3\}} . A regular hexagon is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). The...

formal language theory, a cyclic language is a set of strings that is closed with respect to repetition, root, and cyclic shift. If A is a set of symbols...

Cyclic form is a technique of musical construction, involving multiple sections or movements, in which a theme, melody, or thematic material occurs in...

There are three different measurements for the rate of fire: cyclic, sustained, and rapid. Cyclic is the maximum rate of fire given only mechanical function...

Cyclic sediments (also called rhythmic sediments) are sequences of sedimentary rocks that are characterised by repetitive patterns of different rock types...

Cyclic Defrost is an Australian specialist electronic music magazine. It was founded and edited by Sebastian Chan, with current editors Bob Baker Fish...

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...

In combinatorial mathematics, cyclic sieving is a phenomenon in which an integer polynomial evaluated at certain roots of unity counts the rotational symmetries...

In Renaissance music, the cyclic mass was a musical setting of the Ordinary of the Roman Catholic Mass, in which each of the movements – Kyrie, Gloria...

Locally cyclic may refer to: Locally cyclic group Locally cyclic graph This disambiguation page lists mathematics articles associated with the same title...

ethers are cyclic polyethers. Some toxins produced by dinoflagellates such as brevetoxin and ciguatoxin are extremely large and are known as cyclic or ladder...

2′,3′-Cyclic-nucleotide 3'-phosphodiesterase (EC 3.1.4.37, CNPase, systematic name nucleoside-2′,3′-cyclic-phosphate 2′-nucleotidohydrolase) is an enzyme...

control inputs: the cyclic stick, the collective lever, and the anti-torque pedals. Depending on the complexity of the helicopter, the cyclic and collective...

on a common circle. A polygon whose vertices are concyclic is called a cyclic polygon, and the circle is called its circumscribing circle or circumcircle...

A cyclic pentagon is one for which a circle called the circumcircle goes through all five vertices. The regular pentagon is an example of a cyclic pentagon...

soil test-based definition, usually performed via cyclic triaxial, cyclic direct simple shear, or cyclic torsional shear type apparatus. These tests are...

The enzyme 2′,3′-cyclic-nucleotide 2'-phosphodiesterase (EC 3.1.4.16) catalyzes the general reaction nucleoside 2′,3′-cyclic phosphate + H2O ⇌ {\displaystyle...

geometry, the Japanese theorem states that no matter how one triangulates a cyclic polygon, the sum of inradii of triangles is constant. Conversely, if the...

In computer science, a circular buffer, circular queue, cyclic buffer or ring buffer is a data structure that uses a single, fixed-size buffer as if it...

mathematics, a primary cyclic group is a group that is both a cyclic group and a p-primary group for some prime number p. That is, it is a cyclic group of order...

Cyclic di-GMP (also called cyclic diguanylate and c-di-GMP) is a second messenger used in signal transduction in a wide variety of bacteria. Cyclic di-GMP...

substituents attached to the nitrogen: Cyclic amines—Cyclic amines are either secondary or tertiary amines. Examples of cyclic amines include the 3-membered ring...

Cyclic-guanylate-specific phosphodiesterase (EC 3.1.4.52, cyclic bis(3′→5')diguanylate phosphodiesterase, c-di-GMP-specific phosphodiesterase, c-di-GMP...

Cyclic guanosine monophosphate (cGMP) is a cyclic nucleotide derived from guanosine triphosphate (GTP). cGMP acts as a second messenger much like cyclic...

of nucleoside 3′,5′-cyclic phosphate include: 3′,5′-cyclic AMP 3′,5′-cyclic dAMP 3′,5′-cyclic IMP 3′,5′-cyclic GMP 3′,5′-cyclic CMP There are 11 distinct...

Cyclic di-AMP (also called c-di-AMP and c-di-adenosine monophosphate) is a second messenger used in signal transduction in bacteria and archaea. It is...

Cyclic steps are rhythmic bedforms associated with Froude super-critical flow instability. They are a type of sediment wave, and are created when supercritical...

In many-valued logic with linearly ordered truth values, cyclic negation is a unary truth function that takes a truth value n and returns n − 1 as value...

Cyclic neutropenia (CyN) is a rare hematologic disorder and form of congenital neutropenia that tends to occur approximately every three weeks and lasting...

H = 001) Cyclic tag system Productions: (010 010, 100 010 001, 001, -, -, -) Tag system computation Initial word: ba abH Hbb (halt) Cyclic tag system...

as distinct from the Homeric ones. Unlike the Iliad and the Odyssey, the cyclic epics survive only in fragments and summaries from Late Antiquity and the...

Cyclic di-GMP-II riboswitches (also c-di-GMP-II riboswitches) form a class of riboswitches that specifically bind cyclic di-GMP, a second messenger used...

definition is that a number n is cyclic if and only if any group of order n is cyclic. Any prime number is clearly cyclic. All cyclic numbers are square-free....

A cyclic nucleotide (cNMP) is a single-phosphate nucleotide with a cyclic bond arrangement between the sugar and phosphate groups. Like other nucleotides...

Θηβαΐς, Thēbais), also called the Cyclic Thebaid, is an Ancient Greek epic poem of uncertain authorship (see Cyclic poets) sometimes attributed by early...

Cyclic olefin polymer (COP) is a type of amorphous polymer used in a wide variety of applications including pharmaceutical packaging and medical devices...

A cyclic cellular automaton is a kind of cellular automaton rule developed by David Griffeath and studied by several other cellular automaton researchers...

performing the inverse operation. A circular shift is a special kind of cyclic permutation, which in turn is a special kind of permutation. Formally, a...

The cyclic alternating pattern (abbreviated CAP) is a pattern of two long-lasting alternate electroencephalogram (EEG) patterns that occur in sleep. It...

Cyclic olefin copolymer (COC) is an amorphous polymer made by several polymer manufacturers. COC is a relatively new class of polymers as compared to commodities...

or shift cyclically when they are multiplied by another integer n {\displaystyle n} . Examples are: 142857 × 3 = 428571 (shifts cyclically one place...

Cyclic Corrosion Testing (CCT) has evolved in recent years, largely within the automotive industry, as a way of accelerating real-world corrosion failures...

reason for the cyclic behavior is apparent from an arithmetic exercise of long division of ⁠1/7⁠: the sequential remainders are the cyclic sequence {1,...

Lactones are cyclic carboxylic esters. They are derived from the corresponding hydroxycarboxylic acids by esterification. They can be saturated or unsaturated...

Cyclic Delay Diversity (CDD) is a diversity scheme used in OFDM-based telecommunication systems, transforming spatial diversity into frequency diversity...

commonly called the cyclic stick or just cyclic or stick and moves forwards and backwards and side to side. On most helicopters, the cyclic is similar to a...

Cyclic polygon, a general polygon that can be circumscribed by a circle. The vertices of this polygon are concyclic points. All triangles are cyclic polygons...

ketone, CH3C(O)CH=CH2, a α,β-unsaturated carbonyl compound. Many ketones are cyclic. The simplest class have the formula (CH2)nCO, where n varies from 2 for...

states that the centers of the incircles of certain triangles inside a cyclic quadrilateral are vertices of a rectangle. It was originally stated on a...

is a slightly yellow-green liquid aliphatic hydrocarbon classified as a cyclic monoterpene, and is the major component in the fragrance and essential oil...

3′,5′-cyclic-AMP phosphodiesterase (EC 3.1.4.53, cAMP-specific phosphodiesterase, cAMP-specific PDE, PDE1, PDE2A, PDE2B, PDE4, PDE7, PDE8, PDEB1, PDEB2)...

Circular breathing is a breathing technique used by players of some wind instruments to produce a continuous tone without interruption. It is accomplished...

Cyclic 3-hydroxymelatonin (3-OHM) is a metabolite of melatonin and an antioxidant more potent than melatonin. It is a non-radical species and does not...

(or any one side) approaches zero, a cyclic quadrilateral converges into a cyclic triangle (all triangles are cyclic), and Brahmagupta's formula simplifies...

engineering firm of J & E Hall of Dartford, Kent, installed its first "Cyclic Elevator", using Hart's patent, in a London office block, and the firm is...

cyclic permutation having only one cycle of length greater than 1). Then the list of disjoint cycles can be seen as the composition of these cyclic permutations...

110 capable of supporting universal computation by successively emulating cyclic tag systems, then 2-tag system, and then Turing machines. The final stage...

Other names include "cyclic binary code", "cyclic progression code", "cyclic permuting binary" or "cyclic permuted binary" (CPB). The Gray code is sometimes...

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. The sole...

Galois group is abelian. When the Galois group is also cyclic, the extension is also called a cyclic extension. Going in the other direction, a Galois extension...

A cyclic enzyme system is a theoretical system of two enzymes sharing a single substrate or cofactor, also referred to as a biochemical switching device...

a cyclically ordered group is a set with both a group structure and a cyclic order, such that left and right multiplication both preserve the cyclic order...

preceding 142,858. It is both a Kaprekar number and a cyclic number. 142857 is the best-known cyclic number in base 10, being the six repeating digits of...

In music, a cyclic set is a set, "whose alternate elements unfold complementary cycles of a single interval." Those cycles are ascending and descending...

Substituted phenethylamines (or simply phenethylamines) are a chemical class of organic compounds that are based upon the phenethylamine structure; the...

cosmos. The model has also been incorporated in the cyclic universe theory (or ekpyrotic cyclic universe theory), which proposes a complete cosmological...

One Danish study suggested an increased risk of Parkinson's with HRT in cyclical dosing schedules. Other randomized trials have shown HRT to improve executive...

A lactam is a cyclic amide, formally derived from an amino carboxylic acid through cyclization reactions. The term is a portmanteau of the words lactone...

bang. This could potentially repeat forever in a phenomenon known as a cyclic universe. Richard Bentley, a churchman and scholar, sent a letter to Isaac...

is often caused by accidents during growth. In the tetragonal system, cyclical contact twins are the most commonly observed type of twin, such as in rutile...

readily, they can be opened. Cyclic anhydrides with smaller rings are only of academic interest, e.g., malonic anhydride. Cyclic anhydrides that would give...

Cyclic nucleotide–gated ion channels or CNG channels are ion channels that function in response to the binding of cyclic nucleotides. CNG channels are...

This is a special case of Noether's theorem. Such coordinates are called "cyclic" or "ignorable". For example, a system may have a Lagrangian L ( r , θ ...

self-contradiction. Examples of Condorcet's paradox are called Condorcet cycles or cyclic ties. In such a cycle, every possible choice is rejected by the electorate...

A Pert Cyclic Omen is the debut album of Electric Company, released on August 8, 1995, on Onion/American Recordings. Each of its track titles is an anagram...

only if every cyclic permutation of the word is reduced. Every cyclic shift and the inverse of a cyclically reduced word are cyclically reduced again...

|(\mathbb {Z} /n\mathbb {Z} )^{\times }|=\varphi (n).} For prime n the group is cyclic, and in general the structure is easy to describe, but no simple general...

Cyclic ADP-ribose, frequently abbreviated as cADPR, is a cyclic adenine nucleotide (like cAMP) with two phosphate groups present on 5' OH of the adenosine...

Intermenstrual bleeding (IMB), or metrorrhagia, is abnormal vaginal bleeding at irregular intervals between expected menstrual periods. It may be associated...

Protein misfolding cyclic amplification (PMCA) is an amplification technique (conceptually like polymerase chain reaction (PCR) but not involving nucleotides)...

highly reliable and easy to operate. It is most notable for its very high cyclic rate for a gun using full-power service cartridges: it averaged about 1...

Cyclic GMP-AMP synthase is an enzyme that in humans is encoded by the CGAS gene (previously MB21D1). In particular, it functions as a cyclic GMP-AMP synthase...

the dichloride produces a mixture of cyclic dimethylsiloxanes and polydimethylsiloxane. From this mixture, the cyclic siloxanes including D5 can be removed...

Potassium/sodium hyperpolarization-activated cyclic nucleotide-gated channel 1 is a protein that in humans is encoded by the HCN1 gene. Hyperpolarization-activated...

Cyclomatic complexity is a software metric used to indicate the complexity of a program. It is a quantitative measure of the number of linearly independent...

usually support joint constraints. The most popular heuristic algorithms are cyclic coordinate descent (CCD) and forward and backward reaching inverse kinematics...

an extension of a cyclic group by a cyclic group. Equivalently, a metacyclic group is a group G {\displaystyle G} having a cyclic normal subgroup N {\displaystyle...

accepted big bang theory and the subsequent development of the bouncing or cyclic theories of the universe, which are currently being explored and tested...

Tornadogenesis is the process by which a tornado forms. There are many types of tornadoes, varying in methods of formation. Despite ongoing scientific...

Cyclic guanosine monophosphate–adenosine monophosphate (cyclic GMP-AMP, cGAMP) is the first cyclic di-nucleotide found in metazoa. In mammalian cells,...

organic chemistry, an acetonide is the functional group composed of the cyclic ketal of a diol with acetone. The more systematic name for this structure...

especially epinephrine, via second messengers, namely cyclic adenosine monophosphate, or cyclic AMP. Sutherland was born on November 19, 1915, in Burlingame...

abbreviated PC) is an organic compound with the formula C4H6O3. It is a cyclic carbonate ester derived from propylene glycol. This colorless and odorless...

5'-cyclic adenosine monophosphate (8-Br-cAMP) is a brominated derivative of cyclic adenosine monophosphate (cAMP). 8-Br-cAMP is an activator of cyclic AMP-dependent...

Guanosine-5'-triphosphate (GTP) is a purine nucleoside triphosphate. It is one of the building blocks needed for the synthesis of RNA during the transcription...

fundamental group is either cyclic, or is a central extension of a dihedral, tetrahedral, octahedral, or icosahedral group by a cyclic group of even order. This...

Cyclic nucleotide-gated cation channel alpha-3 is a protein that in humans is encoded by the CNGA3 gene. This gene encodes a member of the cyclic nucleotide-gated...

corticosteroid cyclic ketals, including cyclic ketals (cyclic acetals) of steroidal glucocorticoids and mineralocorticoids. They are almost all C16α,17α cyclic ketals...

21-tetrahydroxypregna-1,4-diene-3,20-dione cyclic 16,17-acetal with acetone, is a synthetic halogenated cyclic ketal pregnane corticosteroid. It is the...

In three-dimensional topology, a branch of mathematics, the cyclic surgery theorem states that, for a compact, connected, orientable, irreducible three-manifold...

The cGAS–STING pathway (cyclic GMP-AMP synthase - stimulator of interferon genes) is a component of the innate immune system that functions to detect the...

such as Cicero and Machiavelli commented on the kyklos. The more limited cyclical view of history defined as repeating cycles of events was put forward in...

phosphoribosyl 1,2-cyclic phosphate 1,2-diphosphodiesterase, known also as Cyclic phosphate dihydrolase is a hydrolase enzyme found in various species...

\mathbb {Z} } ⁠ under addition is the only infinite cyclic group—in the sense that any infinite cyclic group is isomorphic to ⁠ Z {\displaystyle \mathbb...

structure-preserving transformations. Important examples of finite groups include cyclic groups and permutation groups. The study of finite groups has been an integral...

or "cyclic" Big Bangs. This particular hypothesis falls under the string theory umbrella as it requires extra spatial dimensions. Cyclic The cyclic multiverse...

photosynthesis.[citation needed] There are two types: cyclic photophosphorylation and non-cyclic photophosphorylation.[citation needed][clarification needed]...

Cyclic nucleotide gated channel alpha 2, also known as CNGA2, is a human gene encoding an ion channel protein. Cyclic nucleotide-gated ion channel GRCh38:...

classification of finite simple groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type, or one...

In number theory, the Hasse norm theorem states that if L/K is a cyclic extension of number fields, then if a nonzero element of K is a local norm everywhere...

8-Bromoguanosine 3′,5′-cyclic monophosphate is a brominated derivative of cyclic guanosine monophosphate (cGMP). It acts as an activator of cGMP-dependent...

peroxide and a strong acidic catalyst to yield a mixture of linear monomer and cyclic dimer, trimer, and tetramer forms. The monomer is dimethyldioxirane. The...

{\textstyle \oint _{L}f(z)\,dz,} sometimes referred to in engineering as a cyclic integral. To establish a complete analogy with the line integral of a vector...

In organic chemistry, an acetal is a functional group with the connectivity R2C(OR')2. Here, the R groups can be organic fragments (a carbon atom, with...

Fast-scan cyclic voltammetry (FSCV) is cyclic voltammetry with a very high scan rate (up to 1×106 V·s−1). Application of high scan rate allows rapid acquisition...

Carbonate esters can be divided into three structural classes: acyclic, cyclic, and polymeric. The first and general case is the acyclic carbonate group...

four isomorphism classes of non-abelian groups of order 2n which have a cyclic subgroup of index 2. Two are well known, the generalized quaternion group...

for any two integers m {\displaystyle m} and n {\displaystyle n} . Every cyclic group G {\displaystyle G} is abelian, because if x {\displaystyle x} , y...

also called the circumscribed circle, is called a cyclic polygon, or in the special case n = 4, a cyclic quadrilateral. All triangles, rectangles, isosceles...

is profane, and sacredness lies in cyclic time. But, in Buddhism, Jainism, and some forms of Hinduism, even cyclic time has become profane. The Sacred...

that there are essentially only 18 possibilities. One of these is C3, the cyclic group with three elements. The others all have a semigroup with two elements...

Cyclic GMP-AMP synthase (cGAS, cGAMP synthase), belonging to the nucleotidyltransferase family, is part of the cytosolic DNA sensor that activates a type-I...

fatigue is the initiation and propagation of cracks in a material due to cyclic loading. Once a fatigue crack has initiated, it grows a small amount with...

Cyclic(alkyl)(amino) carbenes (CAACs) are a class of stable singlet carbene ligands that feature one amino and one sp3 alkyl group adjacent to the carbene...

Subject Headings (MeSH) Drosophila Cyclic-AMP response element binding protein A - The Interactive Fly Drosophila Cyclic-AMP response element binding protein...

various substituents. They can be classified into linear (curcuminoids) and cyclic diarylheptanoids. The best known member is curcumin, which is isolated from...

more succinctly in "cyclic sum notation", like this: ∑ cyclic f ( x , y , z , a , b , c ) = 0 {\displaystyle \sum _{\text{cyclic}}f(x,y,z,a,b,c)=0} ....

Ptolemy's theorem is a relation between the four sides and two diagonals of a cyclic quadrilateral (a quadrilateral whose vertices lie on a common circle). The...

glucose molecule can exist in an open-chain (acyclic) as well as ring (cyclic) form. Glucose is naturally occurring and is found in its free state in...

(outer) swashplate is mounted on the main rotor mast and is connected to the cyclic and collective controls by a series of pushrods. It is able to tilt in all...

cAMP-specific 3',5'-cyclic phosphodiesterase 4B is an enzyme that in humans is encoded by the PDE4B gene. This gene is a member of the type IV, cyclic AMP (cAMP)-specific...

Cyclic glycine-proline (cGP) is a small neuroactive peptide that belongs to a group of bioactive 2,5-diketopiperazines (2,5-DKPs) and is also known as...

Cyclic nucleotide gated channel beta 3, also known as CNGB3, is a human gene encoding an ion channel protein. Cyclic nucleotide-gated ion channel Stargardt...

multiplication. Cyclic groups are those that are generated by a single permutation. When a permutation is represented in cycle notation, the order of the cyclic subgroup...

cyclic process, when the cyclic process finishes the system's internal energy is the same as the energy it had when the process began. If the cyclic process...

so these groups are cyclic. Indeed, each element is expressible as a sum all of whose terms are ⁠ 1 {\displaystyle 1} ⁠. Any cyclic group with n {\displaystyle...

This is a list of hash functions, including cyclic redundancy checks, checksum functions, and cryptographic hash functions. Adler-32 is often mistaken...

A periodic function is a function that repeats its values at regular intervals. For example, the trigonometric functions, which are used to describe waves...

linear algebra, a circulant matrix is a square matrix in which each row is a cyclic shift, by one position, of the row above it. Equivalently, its entries depend...

Cyclical asymmetry is an economic term that describes any large imbalance in economic factors occurring for purely-cyclical reactions by a market or nation...

monosaccharides, pentoses exist in two forms, open-chain (linear) or closed-chain (cyclic), that easily convert into each other in water solutions. The linear form...

several different forms of the technology, with the two main ones being Cyclic Steam Stimulation and Steam Flooding. Both are most commonly applied to...

Cyclic di-GMP-I riboswitches are a class of riboswitch that specifically bind cyclic di-GMP, which is a second messenger that is used in a variety of microbial...

N-terminal (amine group) and C-terminal (carboxyl group) residue at the ends. Cyclic peptides are a distinct class. Peptides have been classified according to...

The enzyme glycerol-1,2-cyclic-phosphate 2-phosphodiesterase (EC 3.1.4.42) catalyzes the reaction glycerol 1,2-cyclic phosphate + H2O ⇌ {\displaystyle...

chemistry, cyclopentanonide is a functional group which is composed of a cyclic ketal of a diol with cyclopentanone. It is seen in amcinonide (triamcinolone...

Cyclic alcohol dehydrogenase (quinone) (EC 1.1.5.7, cyclic alcohol dehydrogenase, MCAD) is an enzyme with systematic name cyclic alcohol:quinone oxidoreductase...

serine-threonine kinases whose activity is dependent on cellular levels of cyclic AMP (cAMP). PKA is also known as cAMP-dependent protein kinase (EC 2.7.11...

number p dividing the order of G, then there exists an element (and thus a cyclic subgroup generated by this element) of order p in G. Theorem (2)—Given a...

inactivation of the intracellular second messengers, cyclic adenosine monophosphate (cAMP) and cyclic guanosine monophosphate (cGMP) by the respective PDE...

ancient writers to Arctinus of Miletus who lived in the 8th century BCE (see Cyclic Poets). The poem comprised two books of verse in dactylic hexameter. The...

molecules of diphosphate (PPi) and one molecule of cyclic di-3’,5’-guanylate (cyclic di-GMP). Degradation of cyclic di-GMP to guanosine monophosphate (GMP) is...

Cyclic nucleotide gated channel beta 1, also known as CNGB1, is a human gene encoding an ion channel protein. Cyclic nucleotide-gated ion channel GRCh38:...

field K is called a cyclic cubic field if it contains all three roots of its generating polynomial f. Equivalently, K is a cyclic cubic field if it is...

organic chemistry, acroleinide is a functional group which is composed of a cyclic ketal of a diol with acrolein. In pharmaceutical chemistry, it is present...

Cyclic history or Cyclical history may refer to: Social cycle theory Cycle of yugas, ages or stages This disambiguation page lists articles associated...

Cyclic adenosine-inosine monophosphate (cAIMP, CL-592) is an experimental antiviral drug. It is the best studied of a range of related analogues which...

chemistry, acetophenide is a functional group which is composed of the cyclic ketal of a diol with acetophenone. In pharmaceutical chemistry, it is present...

In projective geometry, the circular points at infinity (also called cyclic points or isotropic points) are two special points at infinity in the complex...

organic compound with molecular formula (CH2)3CO. It is a four-membered cyclic ketone (cycloalkanone). It is a colorless volatile liquid at room temperature...

(compounds made of only carbon and hydrogen) can be aliphatic or excluding cyclic compounds from being aliphatic. These criteria are not present in the current...

arrangements are known: a linear form with double bonds and charge transfer, and a cyclic form. Both forms are highly unstable, though the linear form is the more...

Cyclical theories of history are intended to explain the numerous recurring events and patterns in humanity's recorded history. Several such cycles and...

diphosphate-lyase (cyclizing; 3′,5′-cyclic-AMP-forming). It catalyzes the following reaction: ATP ⟶ {\displaystyle \longrightarrow } 3′,5′-cyclic AMP + diphosphate It...

linear algebra, cyclic decomposition refers to writing a finitely generated module over a principal ideal domain as the direct sum of cyclic modules and one...

Cyclic AMP receptors from slime molds are a distinct family of G-protein coupled receptors. These receptors control development in Dictyostelium discoideum...

In organic chemistry, an ortho ester is a functional group containing three alkoxy groups attached to one carbon atom, i.e. with the general formula RC(OR')3...

The enzyme 3′,5′-cyclic-GMP phosphodiesterase (EC 3.1.4.35) catalyzes the reaction 3',5'-cyclic GMP   H2O         guanosine monophosphate The enzyme characterised...

Möller, Martin; Grebowicz, Janusz; Baur, Herbert (1988). "Condis crystals of cyclic alkanes, silanes and related compounds". Conformational Motion and Disorder...

afford linear or cyclic products. Linear products are terminated with silanol groups: n R2Si(OH)2 → H(R2SiO)nOH + (n − 1) H2O Cyclic products have no...

undirected graph acted on by a cyclic group of symmetries which takes any vertex to any other vertex. It is sometimes called a cyclic graph, but this term has...

organic chemistry, aminobenzal is a functional group which is composed of a cyclic ketal of a diol with 4-dimethylaminobenzylidene. It is seen in triamcinolone...

complete abstinence, although some patients continue to experience nausea, cyclic vomiting, or abdominal pain for up to 90 days. Treatments during an episode...

starts with the new year of whoever is using the calendar. In China, the cyclic year normally changes on the Chinese Lunar New Year. In Japan until recently...

arenes are organic compounds "with a chemistry typified by benzene" and "cyclically conjugated." The word "aromatic" originates from the past grouping of...

Trojan War were told in the poems of the Epic Cycle, also known as the Cyclic Epics: the Cypria, Aethiopis, Little Iliad, Iliou Persis, Nostoi, and Telegony...

Hyperpolarization-activated cyclic nucleotide–gated (HCN) channels are integral membrane proteins that serve as nonselective voltage-gated cation channels...

commonly referred to as a hemiketal. Common examples of hemiacetals include cyclic monosaccharides. Hemiacetals have use as a protecting group and in synthesizing...

semigroup generated by a single element. Monogenic semigroups are also called cyclic semigroups. The monogenic semigroup generated by the singleton set {a} is...

In mathematics, the upper bound theorem states that cyclic polytopes have the largest possible number of faces among all convex polytopes with a given...

Cyclic guanosine monophosphate-specific phosphodiesterase type 5 is an enzyme (EC 3.1.4.17) from the phosphodiesterase class. It is found in various tissues...

used to label the group within that order. Common group names: Zn: the cyclic group of order n (the notation Cn is also used; it is isomorphic to the...

containing all roots of unity. The Brauer group BrR of the real numbers is the cyclic group of order two. There are just two non-isomorphic real division algebras...

ancient writers to Arctinus of Miletus who lived in the 8th century BC (see Cyclic poets). The poem comprised five books of verse in dactylic hexameter. Very...

In mathematics, cyclical monotonicity is a generalization of the notion of monotonicity to the case of vector-valued function. Let ⟨ ⋅ , ⋅ ⟩ {\displaystyle...

Principle, a description of the cyclical nature of trader psychology and a form of technical analysis. These cyclical patterns in price movements are...

does not create, replicate or accelerate real-world corrosive conditions. Cyclic corrosion testing is better suited to this. The apparatus for testing consists...

A_{0}} . If A / A 0 {\displaystyle A/A_{0}} is a cyclic group, then A {\displaystyle A} is topologically cyclic; i.e., has an element that generates a dense...

A clock-face schedule, also cyclic schedule, is a timetable system under which public transport services run at consistent intervals, as opposed to a timetable...

Cyclic iron tetra N-heterocyclic carbenes are a family of organometallic complexes that are unique in their steric and electronic tunability. This is because...

F n {\displaystyle A:F^{n}\to F^{n}} makes F n {\displaystyle F^{n}} a cyclic F [ A ] {\displaystyle F[A]} -module, having a basis of the form { v , A...

In software engineering, a circular dependency (or cyclic dependency) is a relation between two or more modules which either directly or indirectly depend...

Cyclic/collective pitch mixing (CCPM) is a control concept employed in collective pitch radio-controlled helicopters. CCPM reduces mechanical complexity...

(n > 1). It is an extension of the cyclic group of order 2 by a cyclic group of order 2n, giving the name di-cyclic. In the notation of exact sequences...

In medicine, atelectotrauma, atelectrauma, cyclic atelectasis or repeated alveolar collapse and expansion (RACE) is the damage caused to the lung by mechanical...

Ozonide is the polyatomic anion with the formula O−3. Cyclic organic compounds formed by the addition of ozone (O3) to an alkene are also called ozonides...

Computation of a cyclic redundancy check is derived from the mathematics of polynomial division, modulo two. In practice, it resembles long division of...

ratcheting, or ratchetting, also known as cyclic creep, is a behavior in which plastic deformation accumulates due to cyclic mechanical or thermal stress. In an...

In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed...

turn divided into cyclic and dihedral groups and within a system the order of the dihedral group is twice that of the cyclic group. Cyclic groups only have...

unemployment include structural unemployment, frictional unemployment, cyclical unemployment, involuntary unemployment and classical unemployment. Structural...

Cyclodextrins are a family of cyclic oligosaccharides, consisting of a macrocyclic ring of glucose subunits joined by α-1,4 glycosidic bonds. Cyclodextrins...

predictions are consistent with models involving emergent or cyclic cosmological evolution. Cyclic pocket universes may be particularly favored in this framework...

Japanese theorem for cyclic quadrilaterals states that the incentres of the four triangles determined by the vertices of a cyclic quadrilateral taken three...

(as a complex or compact Lie group) is the cyclic group Z/3Z, and its outer automorphism group is the cyclic group Z/2Z. For the simply-connected form...

Erythrae, Thestorides of Phocaea, or Homer himself (8th century BCE) (see Cyclic poets). The poem comprised four books of verse in dactylic hexameter, the...

Photochemistry is the branch of chemistry concerned with the chemical effects of light. Generally, this term is used to describe a chemical reaction caused...

IUPAC definition A polymerization in which a cyclic monomer yields a monomeric unit which is acyclic or contains fewer cycles than the monomer. Note: If...

can be characterized as linguistic drift: a unidirectional short-term and cyclic long-term drift. According to Sapir, drift is the unconscious change in...

hyperpolarization-activated cyclic nucleotide-gated channel 3 is a protein that in humans is encoded by the HCN3 gene. Cyclic nucleotide-gated ion channel...

⟩ {\displaystyle \langle x\rangle } is the cyclic subgroup of the powers of x {\displaystyle x} , a cyclic group, and we say this group is generated by...

hammer retarder) is a component of the automatic firearm that adjusts the cyclic rate of the weapon by, for example, delaying the hammer fall. The retardation...

functions of: Fire Eject Load Cock is referred to as its cyclic rate. In fully automatic firearms, the cyclic rate is tailored to the purpose the firearm is intended...

Potassium/sodium hyperpolarization-activated cyclic nucleotide-gated ion channel 2 is a protein that in humans is encoded by the HCN2 gene. HCN2 has been...

addition, nucleotides participate in cell signaling (cyclic guanosine monophosphate or cGMP and cyclic adenosine monophosphate or cAMP) and are incorporated...

The cyclic redundancy check (CRC) is a check of the remainder after division in the ring of polynomials over GF(2) (the finite field of integers modulo...

supersoluble) if it has an invariant normal series where all the factors are cyclic groups. Supersolvability is stronger than the notion of solvability. Let...

degradative action of cGMP-specific phosphodiesterase type 5 (PDE5) on cyclic GMP in the smooth muscle cells lining the blood vessels supplying various...

symmetry, order 131074. Since 65537 is a prime number, D65537 has 2 proper cyclic subgroups: Z65537, and Z2, which correspond to the subgroup generated by...

(k)-(ultra)-homogeneous graph is locally (k)-(ultra)-homogeneous. A graph is locally cyclic if every neighbourhood is a cycle. For instance, the octahedron is the unique...

Selected point groups in three dimensions Involutional symmetry Cs, (*) [ ] = Cyclic symmetry Cnv, (*nn) [n] = Dihedral symmetry Dnh, (*n22) [n,2] = Polyhedral...

Circular convolution, also known as cyclic convolution, is a special case of periodic convolution, which is the convolution of two periodic functions that...

present in the majority of patients with rheumatoid arthritis. Clinically, cyclic citrullinated peptides (CCP) are frequently used to detect these antibodies...

The cyclically adjusted price-to-earnings ratio (CAPE, Shiller P/E, or P/E 10 ratio) is a stock valuation measure usually applied to the US S&P 500 equity...

Fisher–Yates shuffle, known as Sattolo's algorithm, may be used to generate random cyclic permutations of length n instead of random permutations. The original Fisher–Yates...

polynomial, both rolling hashes are often mistaken for each other. Hashing by cyclic polynomial—sometimes called Buzhash—is also simple and it has the benefit...

Cyclic nucleotide-gated cation channel alpha-4 is a protein that in humans is encoded by the CNGA4 gene. CNGA4 is a modulatory subunit of vertebrate cyclic...

4-PPBP is a neuroprotective cyclic amine which binds to sigma receptors. 4-PPBP decreases neuronal nitric oxide synthase (nNOS) activity and ischemia-evoked...

lithium ionophore V, is a crown ether with the formula C8H16O4. It is a cyclic tetramer of ethylene oxide which is specific for the lithium cation. 12-Crown-4...

that breaks a phosphodiester bond. Usually, phosphodiesterase refers to cyclic nucleotide phosphodiesterases, which have great clinical significance and...

the molecular formula C15H24. Like monoterpenes, sesquiterpenes may be cyclic or contain rings, including many combinations. Biochemical modifications...

result of group theory stating that every finite simple group is either cyclic, or alternating, or belongs to a broad infinite class called the groups...

quadrilaterals that are associated with cyclic quadrilaterals, based on the work of Barbu and Patrascu. Given any cyclic quadrilateral ABCD, let point F be...

teaching aid and meditation tool symbolically representing saṃsāra (or cyclic existence). It is found on the walls of Tibetan Buddhist temples and monasteries...

chains if composed of the same elements. For cyclic systems: Identification of the parent cyclic ring. The cyclic system must obey these rules, in order of...

a prime power. Equivalently, the conjecture asserts that no nontrivial cyclic Menon–Hadamard difference set exists. The problem has equivalent formulations...

into heat through a cyclical process. Clausius writes that "The algebraic sum of all the transformations occurring in a cyclical process can only be less...

Cyclic pyranopterin monophosphate synthase (EC 4.1.99.18, MOCS1A, MoaA, MoaC, molybdenum cofactor biosynthesis protein 1) is an enzyme with systematic...

abelian subgroup is cyclic. It can be shown that a finite p-group with this property (every abelian subgroup is cyclic) is either cyclic or a generalized...

activator protein, CAP) is a regulatory protein in bacteria. CRP protein binds cyclic adenosine monophosphate (cAMP), which causes a conformational change that...

BC), Homer (8th century BC), and Eumelos of Corinth (8th century BC) (see Cyclic Poets). The poem comprised five books of verse in dactylic hexameter. Both...

3',5'-cyclic phosphodiesterase 4A is an enzyme that in humans is encoded by the PDE4A gene. The protein encoded by this gene belongs to the cyclic nucleotide...

Cyclic microcellular foaming refers to the solid-state Microcellular plastic manufacturing technique in which the polymer is foamed sequentially. The concept...

LRC word at the end of a block of data is very similar to checksum and cyclic redundancy check (CRC). While simple longitudinal parity can only detect...

such cyclic compounds is [HPO3]x where x = number of phosphoric units in the molecule. When metaphosphoric acids lose their hydrogens as H+, cyclic anions...

_{h}(j)=hjh^{-1}=j^{2}} , defined using the semidirect product and direct product of the cyclic groups. Z 4 {\displaystyle \mathbb {Z} _{4}} is not a normal subgroup. A...

portal Achaeans (Homer) Bibliomancy Catalogue of Ships Creophylus of Samos Cyclic Poets Deception of Zeus Early Greek cosmology Geography of the Odyssey Greek...

representations are abelian, and the abelianization of the symmetric group is C2, the cyclic group of order 2. For all n, there is an n-dimensional representation of...

sequent calculus relies on the structure of order varieties (a family of cyclic orders that may be viewed as a species of structure), and the correctness...

cyclic polygons that do not contain their circumcenters. This formula generalizes Heron's formula for triangles and Brahmagupta's formula for cyclic quadrilaterals...

continually sustains it. The burning and revival of Scylla signify the cyclical action of natural forces. Over time, through the movements of the sea and...

Proteins that bind cyclic nucleotides (cAMP or cGMP) share a structural domain of about 120 residues. The best studied of these proteins is the prokaryotic...

molecule that possesses unique spatial features, such as linear, branched, or cyclic architectures. It could also refer to polymer networks that exhibit distinct...

Cycloheptanone, (CH2)6CO, is a cyclic ketone also referred to as suberone. It is a colourless volatile liquid. Cycloheptanone is used as a precursor for...

Number Fields Weisstein, Eric W. "Cyclic Pentagon." From MathWorld--A Wolfram Web Resource. [1] Weisstein, Eric W. "Cyclic Hexagon." From MathWorld--A Wolfram...

circle of the diagonal triangle of a cyclic quadrilateral. The point of intersection of the bimedians of the cyclic quadrilateral belongs to the nine-point...

isomorphic to a finite cyclic p-group or to a Prüfer group. The Prüfer p-group is the unique infinite p-group that is locally cyclic (every finite set of...

several solo cadenzas. In writing about the work, Messiaen identified four cyclic themes that reappear throughout; there are other themes specific to each...

RNA 2',3'-cyclic phosphate and 5'-OH ligase is a protein that in humans is encoded by the RTCB gene. It is found in the stress granule of cells. As of...

initiator nor a terminator and determined the polymer's structure to be cyclic. In fact, they worked at liquid nitrogen temperature and relied on Boron...

groups in some way. In particular Diffie–Hellman key exchange uses finite cyclic groups. So the term group-based cryptography refers mostly to cryptographic...

modular group is isomorphic to the free product of cyclic groups of orders 4 and 6 amalgamated over a cyclic group of order 2. If ⁠ G {\displaystyle G} ⁠ and...

rearrangement is a ring expansion reaction in which a cyclic phosphine is transformed into a cyclic phosphine oxide. This name reaction, first reported...

Dual 3',5'-cyclic-AMP and -GMP phosphodiesterase 11A is an enzyme that in humans is encoded by the PDE11A gene. The 3',5'-cyclic nucleotides cAMP and...

to an inscribed circle. Cyclic quadrilateral: the four vertices lie on a circumscribed circle. A convex quadrilateral is cyclic if and only if opposite...

}}={\frac {a-b}{a+b}}.} A generalization of Mollweide's formula holds for a cyclic quadrilateral ◻ A B C D . {\displaystyle \square ABCD.} Denote the lengths...

There also are groups known not to have generic polynomials, such as the cyclic group of order 8. More generally, let G be a given finite group, and K a...

Z-enol ether isomers, or beta hydrogen elimination. The ease of generating cyclic vinyl cations depends on the size of the ring system, with vinyl cations...

(CH2)4O. The compound is classified as heterocyclic compound, specifically a cyclic ether. It is a colorless, water-miscible organic liquid with low viscosity...

is a cyclic molecule containing a five-membered ring consisting of two adjacent carbon atoms and three adjacent oxygen atoms. They are thus cyclic disubstituted...

axisymmetric boundary conditions, symmetric boundary conditions, and periodic or cyclic boundary conditions. Using the appropriate type of boundary conditions is...

orientations; in turn, strong orientations may be generalized to totally cyclic orientations of disconnected graphs. The set of strong orientations of a...

proteins (SICLOPPS) is a biotechnology technique that permits the creation of cyclic peptides. These peptides are produced by ribosomal protein synthesis, followed...

integrated oil and natural gas producer. Canadian Natural Resources uses cyclic steam or "huff and puff" technology to develop bitumen resources. This technology...

decomposing into a minimum number of cyclic subspaces, the primary form decomposes into a maximum number of cyclic subspaces. It is also defined over F...

Organizing describe the concept as follows: The Nahui Ollin represents the cyclical movement of nature with respect to the four directions. The Nahui Ollin...

following fatty acids—hydnocarpic acid, chaulmoogric acid, gorlic acid, lower cyclic homologues, myristic acid, palmitic acid, stearic acid, palmitoleic acid...

triadic combinations was implicit in," his "concept of the cyclic set from the beginning", cyclic sets being those "sets whose alternate elements unfold complementary...

displayed. The four As can be used to explain the four phases of the Great Cyclic Period in Medieval times. The four phases were represented either by: the...

(C2O2 or O=C=C=O) and other linear or cyclic polymers of carbon monoxide (−CO−)n (polyketones), and linear or cyclic polymers of carbon dioxide (−CO2−)n...

cAMP-specific 3',5'-cyclic phosphodiesterase 4D is an enzyme that in humans is encoded by the PDE4D gene. The PDE4D gene is complex and has at least 9...

Forskolin is commonly used in laboratory research to increase levels of cyclic AMP by stimulation of adenylate cyclase. The name comes from an obsolete...

be applied to solid metallic materials under cyclic repeated loading or to granular materials under cyclic loading (such case can occur in road pavements...

SC-FDMA transmission modes a cyclic prefix is appended to the transmitted symbols. Two different lengths of the cyclic prefix are available to support...

sands extraction technology. Steam-assisted gravity drainage (SAGD) and cyclic steam stimulation (CSS) steam injection (oil industry) are two commercially...

In organic chemistry, a dioxazolone is a cyclic carbonate incorporated into C2NO2 ring. It is an uncommon heterocyclic compound. They arise by the phosgenation...

cyclic authority. In single rotor helicopters, the vortex ring state is traditionally corrected by slightly lowering the collective to regain cyclic authority...

α , β , γ ) {\displaystyle (\alpha ,\beta ,\gamma )} can be permuted cyclically to give two further isotopies ( β , γ , α ) {\displaystyle (\beta ,\gamma...

circular order, handling all processes without priority (also known as cyclic executive). Round-robin scheduling is simple, easy to implement, and starvation-free...

Persistent vegetative state – Sjögren's syndrome – Sleep - Ultradian rhythm Cyclic process – Carnot cycle – Double-slit experiment – Dynamic theory of gravity...

other than peptide bonds, specifically in cyclic amides. The systematic name of this enzyme class is cyclic-imide amidohydrolase (decyclizing). Other...

on a waveform cycle Instantaneous phase, generalization for both cyclic and non-cyclic phenomena AC phase, the phase offset between alternating current...

as with CC-C. In contrast to CC-A and CC-B, the complete communication (cyclic and acyclic) between controller and device takes place on Ethernet layer...

diphosphate-lyase (cyclizing; 3′,5′-cyclic-GMP-forming)) is a lyase enzyme that converts guanosine triphosphate (GTP) to cyclic guanosine monophosphate (cGMP)...

also called D4, is an organosilicon compound and one of a number of cyclic siloxanes (cyclomethicones). It is a colorless viscous liquid with a high...

by César Franck. This work is an exemplar of Franck's distinctive use of cyclic form. As the name implies, it comprises three movements: a prelude, a chorale...

genetic causes of achromatopsia, including mutations in: the cone cell cyclic nucleotide-gated ion channel proteins CNGA3 (ACHM2) and CNGB3 (ACHM3) the...

In enzymology, a 6-aminohexanoate-cyclic-dimer hydrolase (EC 3.5.2.12) is an enzyme that catalyzes the chemical reaction 1,8-diazacyclotetradecane-2,9-dione...

order of that group, since the order of a is equal to the order of the cyclic subgroup generated by a. If the group has n elements, it follows a n = e...

Cyclic nucleotide-gated channel alpha 1, also known as CNGA1, is a human gene encoding an ion channel protein. Heterologously expressed CNGA1 can form...

x_{n-1})} Micciancio introduced cyclic lattices in his work in generalizing the compact knapsack problem to arbitrary rings. A cyclic lattice is a lattice that...

silanes. Many cyclic compounds are susceptible to ring-opening polymerization. Epoxides, cyclic trisiloxanes, some lactones, lactides, cyclic carbonates...

abstract algebra, Hilbert's Theorem 90 (or Satz 90) is an important result on cyclic extensions of fields (or to one of its generalizations) that leads to Kummer...

Although only of theoretical interest, (PH)5 is parent of many related cyclic polyphosphines that are the subject of research. Organic cyclophosphanes...

aircraft as well as in a ground role, had a cyclic rate of 450 rounds per minute. The M1917A1 had a cyclic rate of 450 to 600 rounds per minute. In 1900...

Procession. Cyclic Law, 2012 Hypnosis. Cyclic Law, 2014 Thaw. (Compilation) Zoharum, 2014 Vita Arkivet. Cyclic Law, 2018 Serenity / Rage. Cyclic Law, 2020...

using traveling waves of cyclic AMP. There is an amplification of cyclic AMP when they aggregate. Pre-stalk cells move toward cyclic AMP, but pre-spore cells...

is the smallest group that is not cyclic. Up to isomorphism, there is only one other group of order four: the cyclic group of order 4. Both groups are...

transduction cascades. Examples of second messenger molecules include cyclic AMP, cyclic GMP, inositol triphosphate, diacylglycerol, and calcium. First messengers...

isomers for a given formula, each saccharide can exist in at least one cyclic form. The combination of these factors - many "chiral centers" and the chain-ring...

aromate pyrrole by hydrogenation. 1-Pyrroline is a cyclic imine, and 3-pyrroline is a symmetrical cyclic amine. 2-Pyrroline, an NH-containing enamine, is...

A synchrotron is a particular type of cyclic particle accelerator, descended from the cyclotron, in which the accelerating particle beam travels around...

The "time" which Aion represents is perpetual, unbounded, ritual, and cyclic: The future is a returning version of the past, later called aevum (see...

Gelfand–Naimark–Segal construction establishes a correspondence between cyclic ∗ {\displaystyle *} -representations of A {\displaystyle A} and certain...

for field use it was prone to stoppages due to dust and dirt. It had a cyclic rate of fire of 120 rounds per minute but its top loaded 10 round clip was...

equation describes the effect of scan rate on the peak current (ip) for a cyclic voltammetry experiment. For simple redox events where the reaction is electrochemically...

A manvantara, in Hindu cosmology, is a cyclic period of time identifying the duration, reign, or age of a Manu, the progenitor of mankind. In each manvantara...

Sankaran B, Roh SH, Pilz RB, Kim C (October 2010). "A crystal structure of the cyclic GMP-dependent protein kinase I{beta} dimerization/docking domain reveals...

size 2 n {\displaystyle 2n} . This is not always the case, for example the cyclic group Z / 2 n Z {\displaystyle \mathbb {Z} /2^{n}\mathbb {Z} } cannot act...

The Quaternary is typically defined by the Quaternary glaciation, the cyclic growth and decay of continental ice sheets related to the Milankovitch cycles...

turning the zodiac wheel. He is comparable to the deity Aion as a symbol of cyclical time. He is usually portrayed as an old, callous man with a thick grey...

group Dn with 2n elements is isomorphic to a semidirect product of the cyclic groups Cn and C2, i.e., Dn = Cn ⋊ C2 . Here, the non-identity element of...

him, and a final monologue by ALP at the break of dawn. Emphasizing its cyclical structure, the novel ends with an unfinished line that completes the fragment...

cAMP-specific 3',5'-cyclic phosphodiesterase 7A is an enzyme that in humans is encoded by the PDE7A gene. Mammals possess 21 cyclic nucleotide phosphodiesterase...

4-diene-3,20-dione cyclic 16α,17α-acetal with cyclopentanone, 21-acetate Budesonide = 11β,16α,17α,21-tetrahydroxypregna-1,4-diene-3,20-dione cyclic 16α,17α-acetal...

into congenital and acquired, with severe congenital neutropenia (SCN) and cyclic neutropenia (CyN) being autosomal dominant and mostly caused by heterozygous...

2-Imidazolidinone (imidazolidin-2-one) is a cyclic urea derivative. It is used as an intermediate in organic synthesis and as a building block for substituted...

operating in early 1824 during the widespread Chumash revolt of that year. In cyclic fashion, this historic mine keeps being rediscovered and then lost again...

C\end{aligned}}} ∑ cyclic a 2 S A = a 2 S A + b 2 S B + c 2 S C = 2 S 2 ∑ cyclic a 4 = 2 ( S ω 2 − S 2 ) ∑ cyclic S A 2 = S ω 2 − 2 S 2 ∑ cyclic S B C = ∑ cyclic S B...

Fosdenopterin (or cyclic pyranopterin monophosphate, cPMP), sold under the brand name Nulibry, is a medication used to reduce the risk of death due to...

\lambda \mapsto \lambda } . A vector φ {\displaystyle \varphi } is called a cyclic vector for A {\displaystyle A} if the vectors φ , A φ , A 2 φ , … {\displaystyle...

divisor p of the order of G, there is a subgroup of G whose order is p—the cyclic group generated by the element in Cauchy's theorem. Cauchy's theorem is...

group of SO(n) is cyclic of order 2, and the spin group Spin(n) is its universal cover. For n = 2 the fundamental group is infinite cyclic and the universal...

IUPAC definition Macrocycle: Cyclic macromolecule or a macromolecular cyclic portion of a macromolecule. Note 1: A cyclic macromolecule has no end-groups...

Cyclic AMP-dependent transcription factor ATF-7 is a protein that in humans is encoded by the ATF7 gene. In 2001, Peters et al. published a paper showing...

incircle, called the incentre, can be considered a centre of the polygon. A cyclic polygon has each of its vertices on a particular circle, called the circumcircle...

The triple product rule, known variously as the cyclic chain rule, cyclic relation, cyclical rule, Euler's chain rule, or the reciprocity theorem, is a...

edges are of the same length. Regular: both equilateral and equiangular. Cyclic: all corners lie on a single circle, called the circumcircle. Tangential:...

construct symmetric (pγ) configurations. Some self dual configurations (pk) are cyclic configurations and can be constructed by one "generator line", like {0,1...

communication. The cytochrome b6f complex is responsible for "non-cyclic" (1) and "cyclic" (2) electron transfer between two mobile redox carriers, plastoquinol...

origin of the known universe. It was originally suggested as a phase of the cyclic model or oscillatory universe interpretation of the Big Bang, where the...

Norrish–Yang reaction). Type II reactions are typically the dominant pathway when cyclic, aliphatic ketones are irradiated; they corresponding to about 75% of the...

cAMP and cAMP-inhibited cGMP 3',5'-cyclic phosphodiesterase 10A is an enzyme that in humans is encoded by the PDE10A gene. Various cellular responses are...

N,N′-Dimethylpropyleneurea (DMPU) is a cyclic urea sometimes used as a polar, aprotic organic solvent. Along with the dimethylethyleneurea, it was introduced...

Polysphondylium violaceum. Barettin (cyclo-[(6-bromo-8-en-tryptophan)-arginine]) is a cyclic dipeptide from the marine sponge Geodia barretti. Dialanine is commonly...

In organic chemistry, the phenyl group, or phenyl ring, is a cyclic group of atoms with the formula C6H5−, and is often represented by the pseudoelement...

a cyclical formal and tonal design, chamber music textures, and a rare depth of emotional expression. Each one of the three sonatas is cyclically intraconnected...

cAMP-specific 3',5'-cyclic phosphodiesterase 4C is an enzyme that in humans is encoded by the PDE4C gene. PDE4C is predominantly found in peripheral tissues...

asthma. The immune system produces ozone as an antimicrobial (see below). Cyclic ozone is a theoretically predicted O3 molecule in which its three atoms...

chiefdoms. The Incas (and, more broadly, Andean cultures) understood time as cyclical, integrated into the concept of “Pacha” (which encompasses space, time...

Wianki (Wreaths, in English) is a cyclical cultural event, taking place annually in Kraków at the bend of Wisła river, near the Wawel hill. In its current...

Cyclotrimerization of formaldehyde affords 1,3,5-Trioxane: 1,3,5-Trithiane is the cyclic trimer of the otherwise unstable species thioformaldehyde. This heterocycle...

double bonds; cycloalkene, cycloalkadiene, etc. for cyclic ones; and "olefin" for the general class – cyclic or acyclic, with one or more double bonds. Acyclic...

finite groups, a Z-group is a finite group whose Sylow subgroups are all cyclic. in the study of infinite groups, a Z-group is a group which possesses a...

{\displaystyle \mathbb {Z} _{2}.} If ( G , ∗ ) {\displaystyle (G,*)} is an infinite cyclic group, then ( G , ∗ ) {\displaystyle (G,*)} is isomorphic to the integers...

divide b) gives a cyclic number. Therefore, the base b expansion of 1 / p {\displaystyle 1/p} repeats the digits of the corresponding cyclic number infinitely...

claims of this allowing for a slow firing cyclic rate of 400 rounds per minute, when tested, provides a cyclic rate of 837 rounds per minute. This live...

in H {\displaystyle H} . In the quaternion group of order 8, each of the cyclic subgroups of order 4 is normal, but none of these are characteristic. However...

exponential function. In group-theoretic terms, the powers of 10 form a cyclic group G {\displaystyle G} under multiplication, and 10 is a generator for...

S. National Library of Medicine. Meyer TE, Habener JF (November 1992). "Cyclic AMP response element binding protein CREB and modulator protein CREM are...

wheel of time or the wheel of history is a religious concept regarding the cyclical nature of time, predominant in Buddhism and Hinduism. It may also refer...

displacement of the cyclic control to maintain a hover in a no-wind condition. In this condition, the pilot could rapidly run out of rearward cyclic control as...

occur when poorly made or highly stressed welded joints are subjected to cyclic loading. Welding is a manufacturing method used to join various materials...

More unsolved problems in mathematics In geometry, a Robbins pentagon is a cyclic pentagon whose side lengths and area are all rational numbers. Robbins pentagons...

element of the field GF(3) and GF(5), but not of GF(7) since it generates the cyclic subgroup {2, 4, 1} of order 3; however, 3 is a primitive element of GF(7)...

Cyclic AMP-responsive element-binding protein 3 is a protein that in humans is encoded by the CREB3 gene. This gene encodes a transcription factor that...

eolian sandstone composed of rhythmic and cyclic alternating grainflow and windripple laminae. The rhythmic, cyclic alternating laminae represent periodic...

CD38 (cluster of differentiation 38), also known as cyclic ADP ribose hydrolase, is a glycoprotein found on the surface of many immune cells (white blood...

The Si Stebbins stack is a cyclic mathematical card stack. It was popularized by the magician Si Stebbins, and can be constructed from a standard 52-card...

invariant symmetry operations). The finite group notation used is: Zn: cyclic group of order n, Dn: dihedral group isomorphic to the symmetry group of...

follows: "A cyclic rule cannot move a phrase from position Y to position X (or conversely) in … X … [α… [β… Y … ] … ] … X …, where α and β are cyclic nodes...

receptors in protein-protein signaling. Present in nature are both linear and cyclic tetrapeptides (CTPs), the latter of which mimics protein reverse turns which...

also serves newsreaders that employ NNTP. A later improvement was the Cyclical News Filesystem (CNFS), which sequentially stores articles in large on-disk...

as a special case of Brahmagupta's formula (for the case of a degenerate cyclic quadrilateral). A modern proof, which uses algebra and is quite different...

organic chemistry, pentanonide is a functional group which is composed of a cyclic ketal of a diol with 3-pentanone. It is seen in amcinafal (triamcinolone...

this shows that the modular group is isomorphic to the free product of the cyclic groups C2 and C3: Γ ≅ C 2 ∗ C 3 {\displaystyle \Gamma \cong C_{2}*C_{3}}...

cleavage to nucleoside 3'-phosphates and 3'-phosphooligonucleotides with 2',3'-cyclic phosphate intermediates This enzyme has preference for cleavage at CpA....

used in certain contexts, such as the angular frequency in rotational or cyclical properties, when the rate of angular progress is measured. Spatial frequency...

sultone is the organosulfur compound with the formula (CH2)3SO3. It is a cyclic sulfonate ester, a class of compounds called sultones. It is a readily melting...

cyclic olefin resins do not contain chlorine or other halogens in their molecular structure, being composed solely of carbon and hydrogen. Cyclic olefin...

rearrangement converts a propargylic alcohol to an enone with acid. The cyclic enones include cyclopropenone, cyclobutenone, cyclopentenone, cyclohexenone...

chirp spread spectrum (CSS) modulation. Each symbol is represented by a cyclic shifted chirp over the bandwidth centered around the base frequency. The...

links in 802.1Q networks) Bounded latency: credit-based (IEEE 802.1Qav) and cyclic/time-aware traffic shaping (IEEE 802.1Qch/Qbv), asynchronous traffic scheduling...

8,5′-Diferulic acid is a non cyclic type of diferulic acid. It is the predominant diferulic acid in sugar beet pulp. It is also found in barley, in maize...

Bucladesine is a cyclic nucleotide derivative which mimics the action of endogenous cAMP and is a phosphodiesterase inhibitor. Bucladesine is a cell permeable...

These conditions alone imply that every element a of H generates a finite cyclic subgroup of H, say of order n, and then the inverse of a is an−1. If the...

notation, our example would be [2 3 4 5 1]. This example is known as a cyclic permutation because it "cycles" the numbers around, and a third notation...

Promanullin is a cyclic nonribosomal peptide. It is an amatoxin, all of which are found in the mushroom genus Amanita. Like other amatoxins, proamanullin...

the Saptarishi—the seven revered sages—in the next Manvantara, which is a cyclic period of time in Hindu cosmology. The Sanskrit word Kripa (Kṛpa) means...

racetams group, with chemical name 2-oxo-1-pyrrolidine acetamide. It is a cyclic derivative of the neurotransmitter GABA and shares the same 2-oxo-pyrrolidone...

PMID 4300679. Weiss, Benjamin, ed. (1975). Cyclic nucleotides in disease: proceedings of the Symposium Cyclic Nucleotides in Disease ... Philadelphia, 4...

corundum (9) and topaz (8). An interesting feature of its crystals are the cyclic twins called trillings. These twinned crystals have a hexagonal appearance...

bioinformatics, biostatistics, computational biology, algebraic K-theory, cyclic homology, and mathematics education. Throughout her career as a mathematician...

reactions cyclic voltammetry can be used to find information about the forward reaction and the reverse reaction. Like linear sweep voltammetry, cyclic voltammetry...

to be reclaimed. The flaw with this model is that it does not cope with cyclic references, and this is why nowadays most programmers are prepared to accept...

"Reliability prediction for structures under cyclic loads and recurring inspections". Materials subject to cyclic loads, as shown in the graph on the right...

perfect numbers. For a cyclic group, the orders of the subgroups are just the divisors of the order of the group, so a cyclic group is a Leinster group...

is a cyclic group (for every i between 0 and n - 1) A metacyclic group is a polycyclic group with n ≤ 2, or in other words an extension of a cyclic group...

group Z n × {\displaystyle \mathbb {Z} _{n}^{\times }} is cyclic, a generator of this cyclic group is called a primitive root modulo n (or in fuller language...

involving systemic immuno-dysregulation, e.g., cyclic neutropenia and human immunodeficiency virus infection. In cyclic neutropenia, more severe oral ulceration...

Kakeya H, Matsunaga S, et al. (2013). "Interaction between the marine sponge cyclic peptide theonellamide A and sterols in lipid bilayers as viewed by surface...

relatively high-inflation countries in the Eurozone periphery is also pro-cyclical, leading to very low or even negative real interest rates during an upturn...

is an extension of the tetrahedral group T or (2,3,3) of order 12 by a cyclic group of order 2, and is the preimage of the tetrahedral group under the...

conversion to cyclic dithioacetal by reaction with a dithiol (nucleophilic substitution) in presence of a H+ donating acid. The cyclic dithioacetal structure...

2-Iminothiolane is a cyclic thioimidate compound also known as Traut's reagent. It is a thiolating reagent that reacts with primary amine groups, such...

PSp4(2)'. A8 is isomorphic to PSL4(2). More obviously, A3 is isomorphic to the cyclic group Z3, and A0, A1, and A2 are isomorphic to the trivial group (which...

cyclically reduced if its first and last letter are not inverse to each other. Every word is conjugate to a cyclically reduced word, and a cyclically...

the organic compound with the formula (CH2O)2CO. It is classified as the cyclic carbonate ester of ethylene glycol and carbonic acid. At room temperature...

virtually cyclic subgroups of G. So assuming the Farrell–Jones conjecture is true, it is possible to restrict computations to virtually cyclic subgroups...

doctoral research, where he used deterministic theory to understand the cyclic variability in spark ignition engines. He worked with Ford Motor Company...

bonding patterns include all double bonds (a cyclic cumulene) or alternating single bonds and triple bonds (a cyclic polyyne). The first cyclocarbon synthesized...

of the reproductive cycle, the vaginal epithelium is subject to normal, cyclic changes, that are influenced by estrogen: with increasing circulating levels...

affine symmetries can be considered limiting cases of the 2D dihedral and cyclic groups: Consider all patterns in 1D which have translational symmetry, i...

Vishnu in the four respective yugas. According to the Hindu texts, time is cyclic. The history of mankind is divided into four ages—Satya Yuga, Treta Yuga...

of such compounds. Aromaticity can also be considered a manifestation of cyclic delocalization and of resonance. This is usually considered to be because...

formula (CH2CH2CH2NH)2. It is a colorless oil. 1,5-Diazacyclooctane is a cyclic diamine. It is prepared in low yield by the alkylation of ammonia with 1...

(–OCH2CH2CH2–)n. It is polymerized from oxetane monomer, which is a four-membered cyclic ether. Needed chemistry was observed and developed through the 1930s and...

structure (the rest of the structure is "factored out"). For example, the cyclic group of addition modulo n can be obtained from the group of integers under...

polymerization through repeated esterification processes. A diol can be converted to cyclic ether by using an acid catalyst, this is diol cyclization. Firstly, it involves...

signal. The shifting is often quite rapid, and may appear to be random or cyclic. The phase departure in phase perturbation usually is larger, but less rapid...

Cyclohexyne is an organic compound with the formula C2(CH2)4. It strained cyclic alkyne. Due to its high ring strain, cyclohexyne cannot be isolated but...

chemistry to understand and design biomolecules, with topics focusing on cyclic peptides, protein folding, and collagen. Lin received her BS in chemistry...

thought to be based on the "trans" cyclic dipetide cyclo(L-Trp-D-Trp) but were later shown to be based on the "cis" cyclic dipetide cyclo(L-Trp-L-Trp). This...

word that means "wandering" as well as "world," wherein the term connotes "cyclic change" or, less formally, "running around in circles." In the context of...

so that there is no net deficit over an economic cycle (i.e., only run cyclical deficits and not structural deficits). This is derived from Keynesian economics...

patient experiences fevers which cyclically increase then decrease over an average period of one or two weeks. A cyclic fever may also be associated with...

ecosystems experience periodic disturbance that may broadly fall into a cyclical pattern. Ecosystems that form under these conditions are often maintained...

4-Pyrone (γ-pyrone or pyran-4-one) is an unsaturated cyclic chemical compound with the molecular formula C5H4O2.It is isomeric with 2-pyrone. 4-Pyrone...

in 1970. The work was a simple and vital biochemical assay for studying cyclic AMP. In 1971, Gilman was appointed assistant professor of pharmacology at...

Cyclic AMP-dependent transcription factor ATF-3 is a protein that, in humans, is encoded by the ATF3 gene. Activating transcription factor 3 is a member...

A smokestack industry is a basic, usually cyclical, heavy industry. The factories stereotypically used in such industries have smoke stacks, hence the...

the Quadrilateral. A generalization of the law of tangents holds for a cyclic quadrilateral ◻ A B C D . {\displaystyle \square ABCD.} Denote the lengths...

ethers are cyclic chemical compounds that consist of a ring containing several ether groups (R−O−R'). The most common crown ethers are cyclic oligomers...

CTOP is an opioid antagonist cyclic peptide related to somatostatin. It has been used in research about other opioid ligands. CTOP is described as a highly...

phosphatidyl-1D-myo-inositol = 6-(α-D-glucosaminyl)-1D-myo-inositol 1,2-cyclic phosphate + 1,2-diacyl-sn-glycerol This enzyme belongs to the family of...

N-phenylacetyl-l-prolylglycine ethyl ester, is promoted as a nootropic and is a prodrug of cyclic glycine-proline. Other names include the brand name Noopept (Russian: Ноопепт)...

or freezing and thawing resistance, is the property of solids to resist cyclic freezing and melting. Frost weathering Satish Chandra; Yoshihiko Ohama (1994)...

and demand for property subsequently influencing the property market. Cyclical patterns are a well-documented and consistent feature of housing markets...

branched cyclic dextrin is a dextrin produced from enzymatic breaking of the amylopectin in clusters and using branching enzyme to form large cyclic chains...

organic chemistry is a cyclic oxocarboxylic acid. Most commonly, these form from aldehyde and keto carboxylic acids, and the cyclic forms are furanoid (5-membered...

Cycloamyloses are cyclic α-1,4 linked glucans comprising dozens or hundreds of glucose units. Chemically they are similar to the much smaller cyclodextrins...

of earth, or alternatively as the head of dynasties that begin with each cyclic kalpa (aeon) when the universe is born anew. The title of the text Manusmriti...

at risk for further injury Cyclic atelectasis is particularly common in an injured lung Overdistension of alveoli and cyclic atelectasis (atelectotrauma)...

commonly realized using a suitable hash function (or specifically, a checksum, cyclic redundancy check or other algorithm). A hash function adds a fixed-length...

the general public. Methods of refrigeration can be classified as non-cyclic, cyclic, thermoelectric and magnetic. This refrigeration method cools a contained...

group and amino group are connected with a β-N-glycosidic bond, forming a cyclic hemiaminal ether bond (α-aminoether). Examples include nucleosides such...

where X is any halogen and no restrictions on R, this structure can be cyclic or an open chain molecular structure. Halonium ions formed from fluorine...

is a progestin which was never marketed. It is the acetonide cyclic ketal of algestone. Another progestin, algestone acetophenide, in contrast...

Robert; Jaffe, Laurinda A. (2015-03-16). "Intercellular signaling via cyclic GMP diffusion through gap junctions restarts meiosis in mouse ovarian follicles"...

In organic chemistry, an epoxide is a cyclic ether, where the ether forms a three-atom ring: two atoms of carbon and one atom of oxygen. This triangular...

of points E(Fq) is a finite abelian group. It is always cyclic or the product of two cyclic groups. For example, the curve defined by y 2 = x 3 − x {\displaystyle...

2014-04-27. Richardson, Thomas (1996). "A discovery algorithm for directed cyclic graphs". Proceedings of the Twelfth Conference on Uncertainty in Artificial...

16. There are three dihedral subgroups: Dih4, Dih2, and Dih1, and four cyclic subgroups: Z8, Z4, Z2, and Z1, the last implying no symmetry. On the regular...

dedicated to 5G. 5G NR supports seven subcarrier spacings: The length of the cyclic prefix is inversely proportional to the subcarrier spacing. It is 4.7 μs...

theorem is a result concerning the collinearity of points constructed from a cyclic quadrilateral. It is a generalization of the Simson line, which states that...

calcium, and phosphorus may be replaced by silicon. It is often twinned in a cyclic manner, meaning three or more individual crystals are twinned according...

have been stolen from Musaeus by Eugammon of Cyrene (6th century BC) (see Cyclic poets). Its contents are known from surviving summaries by later authors...

quadrilateral. It works on both convex and concave quadrilaterals, whether it is cyclic or not. The German mathematician Carl Anton Bretschneider discovered the...

Enduracididine is a non-proteinogenic α-amino acid that is a cyclic analogue of arginine. It is not genetically encoded into peptide sequences, but rather...

and (+)-paucidactine D (2025). Total syntheses of DNA bis-intercalating cyclic peptide antitumor agents (sandramycin, luzopeptins A through C, thiocoraline...

A quadratic residue code is a type of cyclic code. Examples of quadratic residue codes include the ( 7 , 4 ) {\displaystyle (7,4)} Hamming code over G...

molecular weight is 180.156 g/mol. Hexoses exist in two forms, open-chain or cyclic, that easily convert into each other in aqueous solutions. The open-chain...