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# and cyclic
# That there is a universal law of periodicity or evolution through cyclic change.
# The moon above the wheel represents liberation from samsara or cyclic existence.
# REDIRECT cyclic group
Logical matrix | Binary lower unitriangular Toeplitz matrix | Toeplitz matrices, multiplied using Finite field | F < sub > 2 </ sub > operationsThey form the Cayley table of cyclic group | Z < sub > 4 </ sub > and correspond to v: Gray code permutation powers # 4 bit | powers of the 4-bit Gray code permutation.
* Implementation of a cyclic sorted gap buffer in. NET / C #
# REDIRECT cyclic group
# The net concentration of intracellular cGMP is reduced ( due to its conversion to 5 ' GMP via PDE ), resulting in the closure of cyclic nucleotide-gated Na < sup >+</ sup > ion channels located in the photoreceptor outer segment membrane.
# be able to be planar and are cyclic ;
# The circle is a classifying space for the infinite cyclic group.
# The molecule must be cyclic.
# oral cyclic thought, which is characteristic of primary oral cultures, versus linear or historical or evolutionary thought, which depends on writing
# Let ABCD be a cyclic quadrilateral.
# REDIRECT cyclic order
# repeated cyclic numbers, e. g.: 142857142857
# By induction, it suffices to prove that a finite simple group G whose order has the form for primes p and q is cyclic.
# REDIRECT cyclic group
# REDIRECT cyclic group

# and group
# Motives and the motivic Galois group ( and Grothendieck categories )
# The eimeriorins are a diverse group that includes one host species of invertebrates, two-host species of invertebrates, one-host species of vertebrates and two-host species of vertebrates.
The group achieved great success globally and scored a chain of # 1 hits.
In 1990, Andersson scored a Swedish # 1 hit with " Lassie ", sung by female cabaret group Ainbusk, for whom he also wrote the Svensktoppen hits " Älska Mig " and " Drömmarnas Golv ".
* Honey Cone, an American R & B and soul singing girl group who was most famous for the # 1 hit " Want Ads "
# Communities of culture: range from the local clique, sub-culture, ethnic group, religious, multicultural or pluralistic civilisation, or the global community cultures of today.
# REDIRECT Carrier battle group
Progressive rock group Pink Floyd, when creating their rock opera The Wall, used disco-style components in their song, " Another Brick in the Wall, Part 2 " ( 1979 )— which became the group's only # 1 hit single ( in both the US and UK ).
* Comedy Band The Barron Knights ' 1978 UK # 3 hit single A Taste Of Aggro, a medley of parodies, included a version of The Smurf Song featuring, in place of the Smurfs, a group of bank robbers from Catford who have escaped from Dartmoor Prison.
# Cumulated dienes have the double bonds sharing a common atom as in a group of compounds called allenes.
# A government controlled by one person, or a small group of people.
# REDIRECT Elementary group theory
The song " Boadicea ", also from this album, would later be sampled by The Fugees on their single " Ready or Not " ( 1996 ), causing a brief stir because the group neither sought permission from Enya nor gave her credit initially, and by Mario Winans, who did give her credit ( the Winans track, " I Don't Wanna Know " which features a rap by P. Diddy and is officially credited to all three artists, became Enya's highest charting single in the US, when it peaked at # 2 on the Hot 100 in 2004 ).
# REDIRECT Ethnic group
# REDIRECT Ethnic group
The primary benefit promised by ECC is a smaller key size, reducing storage and transmission requirements — i. e., that an elliptic curve group could provide the same level of security afforded by an RSA-based system with a large modulus and correspondingly larger key — e. g., a 256bit ECC public key should provide comparable security to a 3072bit RSA public key ( see # Key sizes ).
# Kerguelen (), a group of volcanic islands in the southern Indian Ocean, southeast of Africa, approximately equidistant between Africa, Antarctica and Australia ;
# St. Paul and Amsterdam islands (), a group to the north of Kerguelen ;
# Crozet Islands (), a group in the southern Indian Ocean, south of Madagascar ;
# the Scattered Islands (), a dispersed group of islands around the coast of Madagascar.
# soleá, within the cantiñas group of palos which includes the alegrías, cantiñas, mirabras, romera, caracoles and soleá por bulería ( also " bulería por soleá "): 1 2 3 4 5 6 7 8 9 10 11 12.
# REDIRECT group ( mathematics )
# the group identifier, ( language-sharing country group )

cyclic and group
The two primary isomers of carotene, α-carotene and β-carotene, differ in the position of a double bond ( and thus a hydrogen ) in the cyclic group at one end ( left in the diagram here ).
* A cyclic group with prime order ;
Infinite cyclic fundamental group.
Rader's algorithm, exploiting the existence of a generator for the multiplicative group modulo prime, expresses a DFT of prime size as a cyclic convolution of ( composite ) size, which can then be computed by a pair of ordinary FFTs via the convolution theorem ( although Winograd uses other convolution methods ).
For example, the cyclic group of addition modulo n can be obtained from the integers by identifying elements that differ by a multiple of n and defining a group structure that operates on each such class ( known as a congruence class ) as a single entity.
Similarly, the multiplicative group of the field is a cyclic group.
The cyclic nucleotide phosphodiesterases constitute a group of enzymes that catalyze the hydrolysis of the cyclic nucleotides cyclic AMP and cyclic GMP.
A monosaccharide often switches from the acyclic ( open-chain ) form to a cyclic form, through a nucleophilic addition reaction between the carbonyl group and one of the hydroxyls of the same molecule.
In terms of groups, the residue class is the coset of a in the quotient group, a cyclic group.
* Locally cyclic group
: An N-terminal glutamine can attack itself, forming a cyclic pyroglutamate group.
Equivalently, a module M is simple if and only if every cyclic submodule generated by a non-zero element of M equals M. Simple modules form building blocks for the modules of finite length, and they are analogous to the simple groups in group theory.
A consequence of the theorem is that the order of any element a of a finite group ( i. e. the smallest positive integer number k with a < sup > k </ sup > = e, where e is the identity element of the group ) divides the order of that group, since the order of a is equal to the order of the cyclic subgroup generated by a.
The theorem also shows that any group of prime order is cyclic and simple.
For general groups, Cauchy's theorem guarantees the existence of an element, and hence of a cyclic subgroup, of order any prime dividing the group order ; Sylow's theorem extends this to the existence of a subgroup of order equal to the maximal power of any prime dividing the group order.

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