Video made a noteworthy appearance at the Basel edition of Design Miami earlier this month, where the slick, technological piece of furniture was used to display Couleur Additive Permutable Prismat and Couleur Additive Permutable Kuadrat, two hypnotic pieces of video art by legendary Franco-Venezuelan artist Carlos Cruz-Diez.
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She fashioned the household accessory first into labyrinths ("Mountains of Encounter," 2008) where a visitor's permutable pathway was dictated by the remote-controlled opening and closing of the blinds, emphasizing the kinetic quality of the material.
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In 1954 Maltsev gave two other conditions that are equivalent to the one given above defining a congruence-permutable variety of algebras. This initiated the study of congruence-permutable varieties.
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In universal algebra, a congruence-permutable algebra is an algebra whose congruences commute under composition. This symmetry has several equivalent characterizations, which lend to the analysis of such algebras. Many familiar varieties of algebras, such as the variety of groups, consist of congruence- permutable algebras, but some, like the variety of lattices, have members that are not congruence-permutable.
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Most classical varieties in abstract algebra, such as groups, rings, and Lie algebras are congruence-permutable. Any variety that contains a group operation is congruence-permutable, and the Maltcev term is xy^{-1}z.
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There are no other circular primes up to 1023. A type of prime related to the circular primes are the permutable primes, which are a subset of the circular primes (every permutable prime is also a circular prime, but not necessarily vice versa).
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Every quasinormal subgroup of a finite group is a subnormal subgroup. This follows from the somewhat stronger statement that every conjugate permutable subgroup is subnormal, which in turn follows from the statement that every maximal conjugate permutable subgroup is normal. (The finiteness is used crucially in the proofs.) In summary, a subgroup H of a finite group G is permutable in G if and only if H is both modular and subnormal in G.
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Viewed as a lattice the chain with three elements is not congruence-permutable and hence neither is the variety of lattices.
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He has introduced the term conjugate-permutable subgroup. In the past, Professor Foguel has also taught at the University of the West Indies, North Dakota State University, Auburn University Montgomery, and Western Carolina University.
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Consequently, Conc FV(Ω) does not satisfy Schmidt's Condition. It is proved by Tůma and Wehrung in 2001 that Conc FV(Ω) is not isomorphic to Conc L, for any lattice L with permutable congruences. By using a slight weakening of WURP, this result is extended to arbitrary algebras with permutable congruences by Růžička, Tůma, and Wehrung in 2006. Hence, for example, if Ω has at least ℵ2 elements, then Conc FV(Ω) is not isomorphic to the normal subgroup lattice of any group, or the submodule lattice of any module.
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373, prime number, balanced prime, sum of five consecutive primes (67 + 71 + 73 + 79 + 83), permutable prime with 337 and 733, palindromic prime in 3 consecutive bases: 5658 = 4549 = 37310 and also in base 4: 113114, two-sided primes.
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Seventeen is the seventh prime number. The next prime is nineteen, with which it forms a twin prime. Seventeen is a permutable prime and a supersingular prime. Seventeen is the third Fermat prime, as it is of the form 2 + 1, specifically with n = 2.
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This was the first of more than forty further scientific works, not including his books and monographs. The focus of the dissertation was very close to Wielandt's interests at the time, whose 1951 work shows that the product of pairwise permutable nilpotent groups is solvable.
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Any permutation of the decimal digits is a prime. 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 199, 311, 337, 373, 733, 919, 991, 1111111111111111111, 11111111111111111111111 () It seems likely that all further permutable primes are repunits, i.e. contain only the digit 1.
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This follows from the modular property of groups. If all subgroups are quasinormal, then the group is called an Iwasawa group-- sometimes also called a modular group, although this latter term has other meanings. In any group, every quasinormal subgroup is ascendant. A conjugate permutable subgroup is one that commutes with all its conjugate subgroups.
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In mathematics, in algebra, in the realm of group theory, a subgroup H of a finite group G is said to be semipermutable if H commutes with every subgroup K whose order is relatively prime to that of H. Clearly, every permutable subgroup of a finite group is semipermutable. The converse, however, is not necessarily true.
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131 is a Sophie Germain prime, an irregular prime, the second 3-digit palindromic prime, and also a permutable prime with 113 and 311. It can be expressed as the sum of three consecutive primes, 131 = 41 + 43 + 47. 131 is an Eisenstein prime with no imaginary part and real part of the form 3n - 1. Because the next odd number, 133, is a semiprime, 131 is a Chen prime.
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Bertram Huppert went to school in Bonn from 1934 until 1945. In 1950, he wrote his diploma thesis in mathematics at the University of Mainz. The thesis discussed "nicht fortsetzbare Potenzreihen" (discontinuous power series), and was written under the direction of Helmut Wielandt. When Wielandt moved to the University of Tübingen in April 1951, Huppert followed him later in the year, and gained his doctorate (as Wielandt's first doctoral student) with the work "Produkte von paarweise vertauschbaren zyklischen Gruppen" (products of pairwise permutable cyclic groups), in which he showed, among other things, that such groups were supersoluble.
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"Beez in the Trap" is an electro- hop and hardcore hip-hop slow jam set in common time. The music is built around a spacious and echoed beat, complemented by sparse hollow drums, and heavy-bass. Its permutable soundscape incorporates a retro 1980s gangsta rap production, which consists of effects such as finger-snaps, sparse instrumentation, ricocheting sonar blips, "drip drip" synths, and features elements of dubstep and grime music. The song's musical structure is characterized by its ultra minimalistic production, devoid of any hooks and often veering on nothing but empty space, with the exception of a "bubble-pop" beat and a "growling" sub-bass.
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311 is the 64th prime; a twin prime with 313; an irregular prime; an Eisenstein prime with no imaginary part and real part of the form 3n - 1; a Gaussian prime with no imaginary part and real part of the form 4n - 1; and a permutable prime with 113 and 131. It can be expressed as a sum of consecutive primes in four different ways: as a sum of three consecutive primes (101 + 103 + 107), as a sum of five consecutive primes (53 + 59 + 61 + 67 + 71), as a sum of seven consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59), and as a sum of eleven consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). 311 is a strictly non- palindromic number, as it is not palindromic in any base between base 2 and base 309. 311 is the smallest positive integer d such that the imaginary quadratic field Q() has class number = 19.
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The Ore condition can be generalized to other multiplicative subsets, and is presented in textbook form in and . A subset S of a ring R is called a right denominator set if it satisfies the following three conditions for every a, b in R, and s, t in S: # st in S; (The set S is multiplicatively closed.) # aS ∩ sR is not empty; (The set S is right permutable.) # If , then there is some u in S with ; (The set S is right reversible.) If S is a right denominator set, then one can construct the ring of right fractions RS−1 similarly to the commutative case. If S is taken to be the set of regular elements (those elements a in R such that if b in R is nonzero, then ab and ba are nonzero), then the right Ore condition is simply the requirement that S be a right denominator set. Many properties of commutative localization hold in this more general setting.
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