• Title/Summary/Keyword: skew

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CLEANNESS OF SKEW GENERALIZED POWER SERIES RINGS

  • Paykan, Kamal
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.6
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    • pp.1511-1528
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    • 2020
  • A skew generalized power series ring R[[S, 𝜔]] consists of all functions from a strictly ordered monoid S to a ring R whose support contains neither infinite descending chains nor infinite antichains, with pointwise addition, and with multiplication given by convolution twisted by an action 𝜔 of the monoid S on the ring R. Special cases of the skew generalized power series ring construction are skew polynomial rings, skew Laurent polynomial rings, skew power series rings, skew Laurent series rings, skew monoid rings, skew group rings, skew Mal'cev-Neumann series rings, the "untwisted" versions of all of these, and generalized power series rings. In this paper we obtain some necessary conditions on R, S and 𝜔 such that the skew generalized power series ring R[[S, 𝜔]] is (uniquely) clean. As particular cases of our general results we obtain new theorems on skew Mal'cev-Neumann series rings, skew Laurent series rings, and generalized power series rings.

(SKEW) FILTERS IN RESIDUATED SKEW LATTICES: PART II

  • Koohnavard, Roghayeh;Saeid, Arsham Borumand
    • Honam Mathematical Journal
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    • v.40 no.3
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    • pp.401-431
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    • 2018
  • In this paper, some kinds of (skew) filters are defined and are studied in residuated skew lattices. Some relations are got between these filters and quotient algebras constructed via these filters. The Green filter is defined which establishes a connection between residuated lattices and residuated skew lattices. It is investigated that relationships between Green filter and other types of filters in residuated skew lattices and the relationship between residuated skew lattice and other skew structures are studied. It is proved that for a residuated skew lattice, skew Hilbert algebra and skew G-algebra are equivalent too.

Some counterexamples of a skew-normal distribution

  • Zhao, Jun;Lee, Sang Kyu;Kim, Hyoung-Moon
    • Communications for Statistical Applications and Methods
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    • v.26 no.6
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    • pp.583-589
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    • 2019
  • Counterexamples of a skew-normal distribution are developed to improve our understanding of this distribution. Two examples on bivariate non-skew-normal distribution owning marginal skew-normal distributions are first provided. Sum of dependent skew-normal and normal variables does not follow a skew-normal distribution. Continuous bivariate density with discontinuous marginal density also exists in skew-normal distribution. An example presents that the range of possible correlations for bivariate skew-normal distribution is constrained in a relatively small set. For unified skew-normal variables, an example about converging in law are discussed. Convergence in distribution is involved in two separate examples for skew-normal variables. The point estimation problem, which is not a counterexample, is provided because of its importance in understanding the skew-normal distribution. These materials are useful for undergraduate and/or graduate teaching courses.

An Analysis of the R/C Skew-Plates With Arbitrary Boundary Conditions (임의의 경계조건을 갖는 철근 콘크리트 사판의 해석)

  • 조현영;조진구
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.28 no.4
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    • pp.49-56
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    • 1986
  • This study was carried out to investigate mechanical characteristics of the uniformly loaded skew-plate at 4 kinds of boundary condition : i) all edges are clamped (BC-1) , ii) all edges are simply supported (BC- 2), iii) two opposite edges are clamped and the other two edges are free (BC-3), and iv )two opposite edges are simply supported and the other two edges are free (BC-4). Various skew angles, 0$^{\circ}$, 10$^{\circ}$, 15$^{\circ}$, 30$^{\circ}$, 40: 45: and 60, of the plate were tested for the above boundary conditions. Resutts obtained from the study are summarized as follows ; 1.The lateral displacement at the center of a skew- plate was decreased as the skewangle increased at all of the boundary conditions. The decrements of the conditions of BC-3 and BC-4 were considerable. And, difference of the displacement between the boundary conditions was decreased as the skew-angle was increased. 2. X-moments (to the Y-axis) at the center of a skew- plate and the minimum principal moments were shown as a similar pattern of change with respect to the skew-angle variation between BC-i and BC-2 and between BC-3 and BC-4, and the pattern of change at the conditions of BC-3 and BC-4 were shown higher rates than those for the conditions of BC-i and BC-2 3.Y-moments (to the X- axis) at the center of a skew-plate and the maximum principal moment were decreased as the skew-angle increased in a similar pattern at all of the boundary conditions. 4.X-moments at the obtuse angle side of a skew-plate were shown as a parabolic pattern of change (frist increased after then decreased) as the skew-angle increased, and a skew-angle resulting the maximum absolute moment was depended on the boundary conditions. 5.Y-moments at the obtuse angle side of a skew-plate were affected by the skewangle much more at the boundary condtions of BC-2 and BC-4 than at the conditions of BC-i and BC-3. 6.Maximum principal moments at the obtuse angle side of a skew-plate at the skew angle of 40$^{\circ}$- 45$^{\circ}$ were resulted almost the same value at all of the boundary conditions .

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ON SKEW SYMMETRIC OPERATORS WITH EIGENVALUES

  • ZHU, SEN
    • Journal of the Korean Mathematical Society
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    • v.52 no.6
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    • pp.1271-1286
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    • 2015
  • An operator T on a complex Hilbert space H is called skew symmetric if T can be represented as a skew symmetric matrix relative to some orthonormal basis for H. In this paper, we study skew symmetric operators with eigenvalues. First, we provide an upper-triangular operator matrix representation for skew symmetric operators with nonzero eigenvalues. On the other hand, we give a description of certain skew symmetric triangular operators, which is based on the geometric relationship between eigenvectors.

Analysis of the behavior of curved-box girder bridges by considering skew angles (사각의 영향을 고려한 곡선 Box Girder교의 거동 해석)

  • 박성진;이승훈;이영호;진치섭
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.11a
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    • pp.402-404
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    • 2003
  • In case to look at considering affects of skew angles into the curved bridges, this study mainly focalized to compare and analyze of the influence of skew angles to curved bridges along with analysis of the behavior of entire construction in accordance with changes of skew angles and curvature. With explanation of macroscophic behavior of curved bridges with skew angles through this study, it is mostly to grasp with characteristics and structural weaknesses of skew curved bridges compared with straight skew bridges.

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Modeling of Noncomposite Skew Plate Girder Bridges (비합성형 판형사교의 모형화)

  • Moon, Seong-Kwon
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.505-510
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    • 2008
  • The design of noncomposite construction for skew bridges with large skew angels has been often checked because composite construction may cause large stresses in the bridge deck. In this study, the analytical model considered dynamic behaviors for noncomposite skew bridges was proposed. Using the proposed analytical model, the effects of interactions between the concrete deck and steel girders such as composite construction, and noncomposite construction on the dynamic characteristics of simply supported skew bridges were investigated. A series of parametric studies for the total 27 skew bridges was conducted with respect to parameters such as girder spacing, skew angle, and deck aspect ratio. The slip at the interfaces between the concrete deck and steel girders may bring about longer vibration periods that result in the reduced total seismic base shear.

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ZERO DIVISOR GRAPHS OF SKEW GENERALIZED POWER SERIES RINGS

  • MOUSSAVI, AHMAD;PAYKAN, KAMAL
    • Communications of the Korean Mathematical Society
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    • v.30 no.4
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    • pp.363-377
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    • 2015
  • Let R be a ring, (S,${\leq}$) a strictly ordered monoid and ${\omega}$ : S ${\rightarrow}$ End(R) a monoid homomorphism. The skew generalized power series ring R[[S,${\omega}$]] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (skew) group rings, and Mal'cev-Neumann Laurent series rings. In this paper, we investigate the interplay between the ring-theoretical properties of R[[S,${\omega}$]] and the graph-theoretical properties of its zero-divisor graph ${\Gamma}$(R[[S,${\omega}$]]). Furthermore, we examine the preservation of diameter and girth of the zero-divisor graph under extension to skew generalized power series rings.

Investigation on wind stability of three-tower cable-stayed-suspension hybrid bridges under skew wind

  • Xin-Jun Zhang;Li Bowen;Nan Zhou
    • Wind and Structures
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    • v.38 no.6
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    • pp.427-443
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    • 2024
  • By using a computational program of three-dimensional aerostatic and aerodynamic stability analysis of long-span bridges under skew wind, the dynamic characteristics and structural stability(including the aerostatic and aerodynamic stability) of a three-tower cable-stayed-suspension hybrid bridge with main span of 1 400 meters are investigated numerically under skew wind, and the skew wind and aerostatic effects on the aerostatic and aerodynamic stability of three-tower cable-stayedsuspension hybrid bridge are ascertained. The results show that the three-tower cable-stayed-suspension hybrid bridge is a longspan structure with greater flexibility, and it is more susceptible to the wind action. The aerostatic instability of three-tower cable-stayed-suspension hybrid bridges is characterized by the coupling of vertical bending and torsion of the girder, and the skew wind does not affect the aerostatic instability mode. The skew wind has positive or negative effects on the aerostatic stability of the bridge, the influence is between -5.38% and 4.64%, and in most cases, it reduces the aerostatic stability of the bridge. With the increase of wind yaw angle, the critical wind speed of aerostatic instability does not vary as the cosine rule as proposed by the skew wind decomposition method, the skew wind decomposition method may overestimate the aerostatic stability, and the maximum overestimation is 16.7%. The flutter critical wind speed fluctuates with the increase of wind yaw angle, and it may reach to the minimum value under the skew wind. The skew wind has limited effect on the aerodynamic stability of three-tower cable-stayed-suspension hybrid bridge, however the aerostatic effect significantly reduces the aerodynamic stability of the bridge under skew wind, the reduction is between 3.66% and 21.86%, with an overall average drop of 11.59%. The combined effect of skew and static winds further reduces the critical flutter wind speed, the decrease is between 7.91% and 19.37%, with an overall average decrease of 11.85%. Therefore, the effects of skew and static winds must be comprehensively considered in the aerostatic and aerodynamic stability analysis of three-tower cable-stayed-suspension hybrid bridges.

SKEW COPAIRED BIALGEBRAS

  • Park, Jun Seok;Cho, Myung Sang
    • Journal of the Chungcheong Mathematical Society
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    • v.16 no.1
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    • pp.81-96
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    • 2003
  • Let ${\sigma}:k{\rightarrow}A{\otimes}B$ be a skew copairing on (A, B), where A and B are Hopf algebras of the same dimension n. Skew dual bases of A and B are introduced. If ${\sigma}$ is an invertible skew copairing then we can give a 2-cocycle bilinear form [${\sigma}$] on $A{\otimes}B$ and define a new Hopf algebra.

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