• Title/Summary/Keyword: non-linear product

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THE INDEFINITE LANCZOS J-BIOTHOGONALIZATION ALGORITHM FOR SOLVING LARGE NON-J-SYMMETRIC LINEAR SYSTEMS

  • KAMALVAND, MOJTABA GHASEMI;ASIL, KOBRA NIAZI
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.24 no.4
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    • pp.375-385
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    • 2020
  • In this paper, a special indefinite inner product, named hyperbolic scalar product, is used and all acquired results have been raised and proved with the proviso that the space is equipped with this indefinite scalar product. The main objective is to be introduced and applied an indefinite oblique projection method, called Indefinite Lanczos J-biorthogonalizatiom process, which in addition to building a pair of J-biorthogonal bases for two used Krylov subspaces, leads to the introduction of a process for solving large non-J-symmetric linear systems, i.e., Indefinite two-sided Lanczos Algorithm for Linear systems.

Non-linear rheology of tension structural element under single and variable loading history Part I: Theoretical derivations

  • Kmet, S.
    • Structural Engineering and Mechanics
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    • v.18 no.5
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    • pp.565-589
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    • 2004
  • The present paper concerns the macroscopic overall description of rheologic properties for steel wire and synthetic fibre cables under variable loading actions according to non-linear creep and/or relaxation theory. The general constitutive equations of non-linear creep and/or relaxation of tension elements - cables under one-step and the variable stress or strain inputs using the product and two types of additive approximations of the kernel functions are presented in the paper. The derived non-linear constitutive equations describe a non-linear rheologic behaviour of the cables for a variable stress or strain history using the kernel functions determined only by one-step - constant creep or relaxation tests. The developed constitutive equations enable to simulate and to predict in a general way non-linear rheologic behaviour of the cables under an arbitrary loading or straining history. The derived constitutive equations can be used for the various tension structural elements with the non-linear rheologic properties under uniaxial variable stressing or straining.

NON-LINEAR PRODUCT ℒℳ*-ℳℒ* ON PRIME *-ALGEBRAS

  • Mohd Arif Raza;Tahani Al-Sobhi
    • Korean Journal of Mathematics
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    • v.31 no.3
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    • pp.313-321
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    • 2023
  • In this paper, we explore the additivity of the map Ω : 𝒜 → 𝒜 that satisfies Ω([ℒ, ℳ]*)=[Ω (ℳ), ℒ]* + [ℳ, Ω(ℒ)]*, where [ℒ, ℳ]*= ℒℳ* - ℳ ℒ*, for all ℒ, ℳ ∈ 𝒜, a prime *-algebra with unit ℐ. Additionally we show that if Ω (αℐ) is self-adjoint operator for α ∈ {1, i} then Ω = 0.

A Study on the Market Integration of Major Import Fishery Products in South Korea Utilizing STAR Model (STAR 모형을 이용한 국내 주요 수입수산물 시장의 통합 여부에 관한 연구)

  • Lim, Eun-Son
    • The Journal of Fisheries Business Administration
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    • v.51 no.4
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    • pp.47-67
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    • 2020
  • I explore that South Korea's major import fishery product markets-frozen hairtail, frozen mackerel, frozen pollock and frozen squid-are integrated by testing whether there is favorable evidence of the law of one price (LOP). Unlike previous studies on the LOP for fishery product markets, I assume non-zero import costs and include them in a trade model. To explore whether LOP holds for major import fishery product markets in South Korea with non-zero import costs, I utilize a non-linear time-series model, Smooth Transition Autoregressive (STAR) model with the sample periods from January in 2002 to December in 2019. I find that the behaviors of home-foreign price (i.e., import price) differentials of all four major import fishery products are non-linear depending on whether trade occurs and favorable evidence of LOP for each import market in South Korea. These findings indicate that each of South Korea's major import fishery product markets is integrated. They imply that the supply of each major import fishery product-frozen hairtail, frozen pollock, frozen mackerel and frozen squid, and their prices are stable even if there is an economic shock on each market. When it comes to trade policy implications, the Korean trade policy including tariffs or quotas against their import countries for the four major import fishery products may not have influences on their price in the markets.

Power-Delay Product Optimization of Heterogeneous Adder Using Integer Linear Programming (정수선형계획법을 이용한 이종가산기의 전력-지연시간곱 최적화)

  • Kwak, Sang-Hoon;Lee, Jeong-Gun;Lee, Jeong-A
    • Journal of the Korea Society of Computer and Information
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    • v.15 no.10
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    • pp.1-9
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    • 2010
  • In this paper, we propose a methodology in which a power-delay product of a binary adder is optimized based on the heterogeneous adder architecture. We formulate the power-delay product of the heterogeneous adder by using integer linear programming(ILP). For the use of ILP optimization, we adopt a transformation technique in which the initial non-linear expression for the power-delay product is converted into linear expression. The experimental result shows the superiority of the suggested method compared to the cases in which only conventional adder is used.

An analysis about the behavior of rubber component with large deformation (대변형을 하는 고무 부품의 거동에 관한 해석)

  • Han Moon-Sik;Cho Jae-Ung
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.14 no.3
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    • pp.47-53
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    • 2005
  • The non-linear finite element program of the large deformation analysis by computer simulation has been used in the prediction and evaluation of the behaviors of the non-linear rubber components. The analysis of rubber components requires the tools modelling the special materials that are quite different from those used for the metallic parts. The nonlinear simulation analysis used in this study is expected to be widely applied in the design analysis and the development of several rubber components which are used In the manufacturing process of many industries. By utilizing this method, the time and cost can also be saved in developing the new rubber product. The objective of this study is to analyze the rubber component with the large deformation and non-linear properties.

Real-Time Prediction for Product Surface Roughness by Support Vector Regression (서포트벡터 회귀를 이용한 실시간 제품표면거칠기 예측)

  • Choi, Sujin;Lee, Dongju
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.44 no.3
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    • pp.117-124
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    • 2021
  • The development of IOT technology and artificial intelligence technology is promoting the smartization of manufacturing system. In this study, data extracted from acceleration sensor and current sensor were obtained through experiments in the cutting process of SKD11, which is widely used as a material for special mold steel, and the amount of tool wear and product surface roughness were measured. SVR (Support Vector Regression) is applied to predict the roughness of the product surface in real time using the obtained data. SVR, a machine learning technique, is widely used for linear and non-linear prediction using the concept of kernel. In particular, by applying GSVQR (Generalized Support Vector Quantile Regression), overestimation, underestimation, and neutral estimation of product surface roughness are performed and compared. Furthermore, surface roughness is predicted using the linear kernel and the RBF kernel. In terms of accuracy, the results of the RBF kernel are better than those of the linear kernel. Since it is difficult to predict the amount of tool wear in real time, the product surface roughness is predicted with acceleration and current data excluding the amount of tool wear. In terms of accuracy, the results of excluding the amount of tool wear were not significantly different from those including the amount of tool wear.

On the non-linear combination of the Linear Fedback Shift Register (선형 귀환 쉬프트 레지스터의 비선형적 결합에 관한 연구)

  • Kim, Chul
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.9 no.2
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    • pp.3-12
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    • 1999
  • We introduce feedback registers and definitions of complexity of a register or a sequence generated by it. In the view point of cryptography the linear complexity of an ultimately periodic sequence is important because large one gives an enemy infeasible jobs. We state some results about the linear complexity of sum and product of two LFSRs.

FINITE ELEMENT ANALYSIS AND MEASUREMENT ON THE RELEASE OF RESIDUAL STRESS AND NON-LINEAR BEHAVIOR IN WELDMENTS BY MECHANICAL LOADING(I) - EXPERIMENTAL EXAMINATION -

  • Jang, Kyoung-Bok;Yoon, Hun-Sung;Cho, Sang-Myoung
    • Proceedings of the KWS Conference
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    • 2002.10a
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    • pp.372-377
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    • 2002
  • Residual stress by welding should be reduced because that decreases the reliability on strength of welded structure. The reason is that the total stiffness of structure decreases by non-linear behavior of weldment under external load. The release of residual stress by mechanical loading and unloading is often performed in the fabrication of box structure for steel bridge. The proper degree of loading and unloading is significant at release method of residual stress by mechanical loading because that degree is changed by material and geometric shape of welded structure. Therefore, the simulation model that could exactly analyze the release of residual stress by mechanical loading is to be necessary. This simulation model should be established on the based of variable and accurate measurement data. In this study, the non-linear behavior of weldments under external loading and unloading, such as the decrease and increase of structure stiffness, was investigated by monitoring of nominal stress and strain. Tensile loading and unloading test under variable load was performed and the proper degree of stress relaxation was measured by sectioning technique using strain gauge.

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Finite Element Analysis and Measurement on the Release of Residual Stress and Non-linear Behavior in Weldments by Mechanical Loading(I) -Experimental Examination-

  • Jang, K.B.;Yoon, H.S.;Cho, S.M.
    • International Journal of Korean Welding Society
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    • v.2 no.1
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    • pp.40-44
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    • 2002
  • Residual stress by welding should be reduced because that decreases the reliability on strength of welded structure. The reason is that the total stiffness of structure decreases by non-linear behavior of weldment under external load. The release of residual stress by mechanical loading and unloading is often performed in the fabrication of box structure for steel bridge. The proper degree of loading and unloading is significant at release method of residual stress by mechanical loading because that degree is changed by material and geometric shape of welded structure. Therefore, the simulation model that could exactly analyze the release of residual stress by mechanical loading is to be necessary. This simulation model should be established on the based of variable and accurate measurement data. In this study, the non-linear behavior of weldments under external loading and unloading, such as the decrease and increase of structure stiffness, was investigated by monitoring of nominal stress and strain. Tensile loading and unloading test under variable load was performed and the proper degree of stress relaxation was measured by sectioning technique using strain gauge.

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