• Title/Summary/Keyword: near-zero

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A GENERALIZED IDEAL BASED-ZERO DIVISOR GRAPHS OF NEAR-RINGS

  • Dheena, Patchirajulu;Elavarasan, Balasubramanian
    • Communications of the Korean Mathematical Society
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    • v.24 no.2
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    • pp.161-169
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    • 2009
  • In this paper, we introduce the generalized ideal-based zero-divisor graph structure of near-ring N, denoted by $\widehat{{\Gamma}_I(N)}$. It is shown that if I is a completely reflexive ideal of N, then every two vertices in $\widehat{{\Gamma}_I(N)}$ are connected by a path of length at most 3, and if $\widehat{{\Gamma}_I(N)}$ contains a cycle, then the core K of $\widehat{{\Gamma}_I(N)}$ is a union of triangles and rectangles. We have shown that if $\widehat{{\Gamma}_I(N)}$ is a bipartite graph for a completely semiprime ideal I of N, then N has two prime ideals whose intersection is I.

A KUROSH-AMITSUR LEFT JACOBSON RADICAL FOR RIGHT NEAR-RINGS

  • Rao, Ravi Srinivasa;Prasad, K.Siva
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.457-466
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    • 2008
  • Let R be a right near-ring. An R-group of type-5/2 which is a natural generalization of an irreducible (ring) module is introduced in near-rings. An R-group of type-5/2 is an R-group of type-2 and an R-group of type-3 is an R-group of type-5/2. Using it $J_{5/2}$, the Jacobson radical of type-5/2, is introduced in near-rings and it is observed that $J_2(R){\subseteq}J_{5/2}(R){\subseteq}J_3(R)$. It is shown that $J_{5/2}$ is an ideal-hereditary Kurosh-Amitsur radical (KA-radical) in the class of all zero-symmetric near-rings. But $J_{5/2}$ is not a KA-radical in the class of all near-rings. By introducing an R-group of type-(5/2)(0) it is shown that $J_{(5/2)(0)}$, the corresponding Jacobson radical of type-(5/2)(0), is a KA-radical in the class of all near-rings which extends the radical $J_{5/2}$ of zero-symmetric near-rings to the class of all near-rings.

Effective Detection Technique of Near Miss using 4M Risk Assesment Methodology (4M 위험성평가 기법을 이용한 앗차사고의 효과적인 발굴기법)

  • Seo, Seong-Hwa;Weon, Jong-Il;Woo, Heung-Sik
    • Journal of the Korean Society of Safety
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    • v.27 no.5
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    • pp.164-170
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    • 2012
  • In this study, a new technique for detecting near miss using 4M risk assessment method is suggested. Until now, the safety education with instances of near miss has just been progressed in most industrial settings, without any systematic guideline. By menas of appling 4M risk assessment method, the organized technique, which could effectively manage the fundamental prevention of industrial accident in advance, is developed. The organized technique of near miss-management suggested in this study will take an effective role in basically expanding the application of risk assessment method, as well as in contributing the activity of zero-accident as a safety guideline in hazardous workshops.

FUZZY SOGIC CONTROL FO DIRECT DRIVE ROBOT MANIPULATORS

  • Kang, Chul-Goo;Kwak, Hee-Sung
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.428-433
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    • 1994
  • This investigates the feasibility of applying fuzzy ogic controllers to the motion tracking control of a direct drive robot manipulator to deal with highly nonlinear and time-varying dynamics associated with robot motion. A fuzzy logic controller with narrow shape of membership functions near zero and wide shape far away zero is analyzed. Simulation and experimental studies have been conducted for a 2 degree of freedom direct drive SCARA robot to evaluate control performances, Fuzzy logic controllers have shown control performances that are often better, or at least, as good as those of conventional PID controllers. Furthermore, the control performance of fuzzy logic controllers can be improved by selecting membership functions of narrow shapes near zero and wide shapes far away zero.

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Comparison of Arc Control Ability as a Function of Configuration of Spiral Type VI Contacts by Measuring Arcing Time (아크지속시간 측정을 통한 나선형 VI 전극의 전극배치에 따른 아크제어 성능비교)

  • Kim, byoung-Chul;Park, Hong-Tae;Oh, Ill-Sung;Lim, Kee-Joe
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.22 no.2
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    • pp.184-190
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    • 2009
  • One of the purposes of arc control is to change its state to the diffuse state before current zero as soon as possible. This can provide optimal conditions for full extinction of arc by minimizing the quantity of residual plasma between contacts near current zero. TRV(transient recovery voltage) occurs at current zero at the same time with current interruption. If there is substantial residual plasma near current zero it can cause 'post arc current' by the interaction of its conductance with TRV. In this paper, arc control ability as a function of configuration of spiral type VI contacts was compared on the criteria of the time taken for arc to reach to the diffuse state.

Large Eddy Simulation of Turbulent Flow in an Optimal Diffuser (큰에디모사법을 이용한 최적 디퓨져내의 난류유동 해석)

  • Lim Seokhyun;Caoi Haecheon
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.811-814
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    • 2002
  • Using a mathematical theory, we show that the optimality condition of a turbulent diffuser with maximum pressure recovery at the exit is zero shear stress along the wall. The optimal diffuser shape is designed through iterative procedures by using the $k-{\varepsilon}-{\nu}^{2}-f$ turbulence model for flow simulation. The Reynolds number based on the bulk mean velocity and the channel height at the diffuser entrance is 18,000. We also perform large eddy simulation to validate the shape design results and investigate the flow characteristics near the zero-skin friction wall. Results from large eddy simulation show that the skin friction is slightly higher than zero but is still very small as compared to that of the flat plate boundary layer flow Although the time-averaged wall shear stress is slightly above zero along the diffuser wall, instantaneous flow reversals occur intermittently. The streamwise mein velocity shows an asymptotic behavior of the half-power-law near the wall where the skin friction is close to zero.

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A Novel Epsilon Near Zero Tunneling Circuit Using Double-Ridge Rectangular Waveguide

  • Kim, Byung-Mun;Son, Hyeok-Woo;Hong, Jae-Pyo;Cho, Young-Ki
    • Journal of electromagnetic engineering and science
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    • v.14 no.1
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    • pp.36-42
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    • 2014
  • In this paper, an epsilon near zero (ENZ) tunneling circuit using a double-ridge rectangular waveguide (RWG) is proposed for the miniaturization of a waveguide component. The proposed ENZ channel and is located in the middle of the input-output RWG (IORWG). The ratio of the height to the width of the channel waveguide is very small compared to the IORWG. By properly adjusting the ridge dimensions, the tunneling frequency of the proposed ENZ channel can be lowered to near the cut-off frequency of the IORWG. For the proposed ENZ tunneling circuit, the approach adopted for extracting the effective permittivity, effective permeability;normalized effective wave impedance, and propagation constant from the simulated scattering parameters was explained. The extracted parameters verified that the proposed channel is an ENZ channel and electromagnetic energy is tunneling through the channel. Simulation and measurement results of the fabricated ENZ channel structure agreed.

On the Diameter, Girth and Coloring of the Strong Zero-Divisor Graph of Near-rings

  • Das, Prohelika
    • Kyungpook Mathematical Journal
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    • v.56 no.4
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    • pp.1103-1113
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    • 2016
  • In this paper, we study a directed simple graph ${\Gamma}_S(N)$ for a near-ring N, where the set $V^*(N)$ of vertices is the set of all left N-subsets of N with nonzero left annihilators and for any two distinct vertices $I,J{\in}V^*(N)$, I is adjacent to J if and only if IJ = 0. Here, we deal with the diameter, girth and coloring of the graph ${\Gamma}_S(N)$. Moreover, we prove a sufficient condition for occurrence of a regular element of the near-ring N in the left annihilator of some vertex in the strong zero-divisor graph ${\Gamma}_S(N)$.

ON SOME TYPE ELEMENTS OF ZERO-SYMMETRIC NEAR-RING OF POLYNOMIALS

  • Hashemi, Ebrahim;Shokuhifar, Fatemeh
    • Journal of the Korean Mathematical Society
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    • v.56 no.1
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    • pp.183-195
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    • 2019
  • Let R be a commutative ring with unity. In this paper, we characterize the unit elements, the regular elements, the ${\pi}$-regular elements and the clean elements of zero-symmetric near-ring of polynomials $R_0[x]$, when $nil(R)^2=0$. Moreover, it is shown that the set of ${\pi}$-regular elements of $R_0[x]$ forms a semigroup. These results are somewhat surprising since, in contrast to the polynomial ring case, the near-ring of polynomials has substitution for its "multiplication" operation.

THE ORDER AND SPEED OF CONVERGENCE FOR THE k-FOLD PSEUDO-OLVER'S METHOD LOCATING A SIMPLE REAL ZERO

  • Kim, Young Ik
    • Journal of the Chungcheong Mathematical Society
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    • v.19 no.1
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    • pp.49-56
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    • 2006
  • A convergence behavior is under investigation near a simple real zero for the k-fold pseudo-Olver's method defined by extending the classical Olver's method. The order of convergence is shown to be at least k+3. The asymptotic error constant is explicitly given in terms of k and the corresponding simple zero. Various numerical examples with a proposed zero-finding algorithm are successfully confirmed with the use of symbolic and computational ability of Mathematica.

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