• Title/Summary/Keyword: solution mapping

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A Study on Nonlinear Water-Wave Profile (비선형 해양파의 파형 연구에 관하여)

  • JANG TAEK-SOO;WANG SUNG-HYUNH;KWON SUN-HONG
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2004.11a
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    • pp.179-182
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    • 2004
  • This paper deals with a new mathematical formulation of nonlinear wave profile based on Banach fixed point theorem. As application of the formulation and its solution procedure, some numerical solutions was presented in this paper and nonlinear equation was derived. Also we introduce a new operator for iteration and getting solution. A numerical study was accomplished with Stokes' first-order solution and iteration scheme, and then we can know the nonlinear characteristic of Stokes' high-order solution. That is, using only Stokes' first-oder(linear) velocity potential and an initial guess of wave profile, it is possible to realize the corresponding high-oder Stokian wave profile with tile new numerical scheme which is the method of iteration. We proved the mathematical convergence of tile proposed scheme. The nonlinear strategy of iterations has very fast convergence rate, that is, only about 6-10 iterations arc required to obtain a numerically converged solution.

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Displacement Mapping for the Precise Representation of Protrusion (정확한 돌출 형상의 표현을 위한 변위매핑)

  • Yoo, Byoung-Hyun;Han, Soon-Hung
    • Journal of KIISE:Computer Systems and Theory
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    • v.33 no.10
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    • pp.777-788
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    • 2006
  • This paper describes a displacement mapping technique which represents protruded shapes on the surface of an object. Previous approaches for image-based displacement mapping can represent only shapes depressed from the polygon surface. The proposed technique can represent shapes protruded from the underlying surface in real-time. Two auxiliary surfaces which are perpendicular to the underlying surface are added along the boundary of the polygon surface, in order to represent the pixels which overflow over the boundary of the polygon surface. The proposed approach can represent accurate silhouette of protruded shape. It can represent not only smooth displacement of protruded shape, but also abrupt displacement such as perpendicular protrusion by means of adding the supplementary texture information to the steep surface of protruded shape. By per-pixel instructions on the programmable GPU this approach can be executed in real-time. It provides an effective solution for the representation of protruded shape such as high-rise buildings on the ground.

A study on the Image Mapping of the Exhibition Environment (전시환경의 영상 맵핑에 관한 연구)

  • Lee, Jae-Young;Kwon, Jun-Sik
    • Journal of Digital Contents Society
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    • v.19 no.7
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    • pp.1341-1348
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    • 2018
  • In this study, we propose a method for applying the image content to the exhibition space using projection mapping techniques. In a typical exhibition space, the artist exhibits works and displays them unilaterally and by using walls defined as screens. However, the new form of exhibition is not one-sided and changes in the way space is free from constraint. The purpose of the exhibition space is to use walls or various installations, which are elements of the exhibition space, as a key part of the exhibition rather than as a material for the spatial compartment. This type of display is a display element of space and you can enjoy the fun and excitement of the exhibition about the new environment. Various imaging techniques are required to construct an exhibition of images and spaces, among which edge blocking is not formed.

A Semi-Implicit Integration for Rate-Dependent Plasticity with Nonlinear Kinematic Hardening (비선형 이동경화를 고려한 점소성 모델의 내연적 적분)

  • Yoon, Sam-Son;Lee, Soon-Bok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.9
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    • pp.1562-1570
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    • 2003
  • The prediction of the inelastic behavior of the structure is an essential part of reliability assessment procedure, because most of the failures are induced by the inelastic deformation, such as creep and plastic deformation. During decades, there has been much progress in understanding of the inelastic behavior of the materials and a lot of inelastic constitutive equations have been developed. The complexity of these constitutive equations generally requires a stable and accurate numerical method. The radial return mapping is one of the most robust integration scheme currently used. Nonlinear kinematic hardening model of Armstrong-Fredrick type has recovery term and the direction of kinematic hardening increment is not parallel to that of plastic strain increment. In this case, The conventional radial return mapping method cannot be applied directly. In this investigation, we expanded the radial return mapping method to consider the nonlinear kinematic hardening model and implemented this integration scheme into ABAQUS by means of UMAT subroutine. The solution of the non-linear system of algebraic equations arising from time discretization with the generalized midpoint rule is determined using Newton method and bisection method. Using dynamic yield condition derived from linearization of flow rule, the integration scheme for elastoplastic and viscoplastic constitutive model was unified. Several numerical examples are considered to demonstrate the efficiency and applicability of the present method.

Mutational Analysis of an Essential RNA Stem-loop Structure in a Minimal RNA Substrate Specifically Cleaved by Leishmania RNA Virus 1-4 (LRV1-4) Capsid Endoribonuclease

  • Ro, Youngtae;Patterson, Jean L.
    • Journal of Microbiology
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    • v.41 no.3
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    • pp.239-247
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    • 2003
  • The LRV1-4 capsid protein possesses an endoribonuclease activity that is responsible for the single site-specific cleavage in the 5' untranslated region (UTR) of its own viral RNA genome and the formation of a conserved stem-loop structure (stem-loop IV) in the UTR is essential for the accurate RNA cleavage by the capsid protein. To delineate the nucleotide sequences, which are essential for the correct formation of the stem-loop structure for the accurate RNA cleavage by the viral capsid protein, a wildtype minimal RNA transcript (RNA 5' 249-342) and several synthetic RNA transcripts encoding point-mutations in the stem-loop region were generated in an in vitro transcription system, and used as substrates for the RNA cleavage assay and RNase mapping studies. When the RNA 5' 249-342 transcript was subjected to RNase T1 and A mapping studies, the results showed that the predicted RNA secondary structure in the stem-loop region using FOLD analysis only existed in the presence of Mg$\^$2+/ ions, suggesting that the metal ion stabilizes the stem-loop structure of the substrate RNA in solution. When point-mutated RNA substrates were used in the RNA cleavage assay and RNase T1 mapping study, the specific nucleotide sequences in the stem-loop region were not required for the accurate RNA cleavage by the viral capsid protein, but the formation of a stem-loop like structure in a region (nucleotides from 267 to 287) stabilized by Mg$\^$2+/ ions was critical for the accurate RNA cleavage. The RNase T1 mapping and EMSA studies revealed that the Ca$\^$2+/ and Mn$\^$2+/ ions, among the reagents tested, could change the mobility of the substrate RNA 5' 249-342 on a gel similarly to that of Mg$\^$2+/ ions, but only Ca$\^$2+/ ions identically showed the stabilizing effect of Mg$\^$2+/ ions on the stem-loop structure, suggesting that binding of the metal ions (Mg$\^$2+/ or Ca$\^$2+/) onto the RNA substrate in solution causes change and stabilization of the RNA stem-loop structure, and only the substrate RNA with a rigid stem-loop structure in the essential region can be accurately cleaved by the LRV1-4 viral capsid protein.

Selection framework of representative general circulation models using the selected best bias correction method (최적 편이보정 기법의 선택을 통한 대표 전지구모형의 선정)

  • Song, Young Hoon;Chung, Eun-Sung;Sung, Jang Hyun
    • Journal of Korea Water Resources Association
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    • v.52 no.5
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    • pp.337-347
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    • 2019
  • This study proposes the framework to select the representative general circulation model (GCM) for climate change projection. The grid-based results of GCMs were transformed to all considered meteorological stations using inverse distance weighted (IDW) method and its results were compared to the observed precipitation. Six quantile mapping methods and random forest method were used to correct the bias between GCM's and the observation data. Thus, the empirical quantile which belongs to non-parameteric transformation method was selected as a best bias correction method by comparing the measures of performance indicators. Then, one of the multi-criteria decision techniques, TOPSIS (Technique for Order of Preference by Ideal Solution), was used to find the representative GCM using the performances of four GCMs after the bias correction using empirical quantile method. As a result, GISS-E2-R was the best and followed by MIROC5, CSIRO-Mk3-6-0, and CCSM4. Because these results are limited several GCMs, different results will be expected if more GCM data considered.

WEAK CONVERGENCE TO COMMON FIXED POINTS OF COUNTABLE NONEXPANSIVE MAPPINGS AND ITS APPLICATIONS

  • Kimura, Yasunori;Takahashi, Wataru
    • Journal of the Korean Mathematical Society
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    • v.38 no.6
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    • pp.1275-1284
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    • 2001
  • In this paper, we introduce an iteration generated by countable nonexpansive mappings and prove a weak convergence theorem which is connected with the feasibility problem. This result is used to solve the problem of finding a solution of the countable convex inequality system and the problem of finding a common fixed point for a commuting countable family of nonexpansive mappings.

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EMPLOYING GENERALIZED (𝜓, 𝜃, 𝜑)-CONTRACTION ON PARTIALLY ORDERED FUZZY METRIC SPACES WITH APPLICATIONS

  • Handa, Amrish
    • The Pure and Applied Mathematics
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    • v.27 no.4
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    • pp.207-229
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    • 2020
  • We establish fixed point and multidimensional fixed point results satisfying generalized (𝜓, 𝜃, 𝜑)-contraction on partially ordered non-Archimedean fuzzy metric spaces. By using this result we obtain the solution for periodic boundary value problems and give an example to show the degree of validity of our hypothesis. Our results generalize, extend and modify several well-known results in the literature.

High-efficiency BIRA for embedded memories with a high repair rate and low area overhead

  • Lee, Joo-Hwan;Park, Ki-Hyun;Kang, Sung-Ho
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.12 no.3
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    • pp.266-269
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    • 2012
  • High-efficiency built-in redundancy analysis (BIRA) is presented. The proposed BIRA uses three techniques to achieve a high repair rate using spare mapping registers with adjustable fault tags to reduce area overhead. Simulation results show that the proposed BIRA is a reasonable solution for embedded memories.

COMPLETELY GENERALIZED MILDLY NONLINEAR COMPLEMENTARITY PROBLEMS FOR FUZZY MAPPINGS

  • Huang, Nan-Jing;Zhang, Wen-Bin
    • Journal of applied mathematics & informatics
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    • v.4 no.2
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    • pp.309-322
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    • 1997
  • In this paper we introduce and study a new class of completely generalized mildly nonlinear complementarity problems for fuzzy mappings and construct some new iterative algorithms. We also show the existence of solution and the convergence of iterative sequences generated by the algorithm. Our results extend some recent results of Noor, Chang and huang.