• Title/Summary/Keyword: Rye B

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QUADRATIC ρ-FUNCTIONAL INEQUALITIES

  • YUN, SUNGSIK;LEE, JUNG RYE;SEO, JEONG PIL
    • The Pure and Applied Mathematics
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    • v.23 no.2
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    • pp.145-153
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    • 2016
  • In this paper, we solve the quadratic ρ-functional inequalities (0.1) ${\parallel}f(x+y)+f(x-y)-2f(x)-2f(y){\parallel}$ $\leq$ ${\parallel}{\rho}(4f(\frac{x+y}{2})+f(x-y)-2f(x)-2f(y)){\parallel}$, where $\rho$ is a fixed complex number with $\left|{\rho}\right|$ < 1, and (0.2) ${\parallel}4f(\frac{x+y}{2})+f(x-y)-2f(x)-2f(y){\parallel}$ $\leq$ ${\parallel}{\rho}(f(x+y)+f(x-y)-2f(x)-2f(y)){\parallel}$, where ρ is a fixed complex number with |ρ| < $\frac{1}{2}$. Furthermore, we prove the Hyers-Ulam stability of the quadratic ρ-functional inequalities (0.1) and (0.2) in complex Banach spaces.

STABILITY OF s-VARIABLE ADDITIVE AND l-VARIABLE QUADRATIC FUNCTIONAL EQUATIONS

  • Govindan, Vediyappan;Pinelas, Sandra;Lee, Jung Rye
    • The Pure and Applied Mathematics
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    • v.29 no.2
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    • pp.179-188
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    • 2022
  • In this paper we investigate the Hyers-Ulam stability of the s-variable additive and l-variable quadratic functional equations of the form $$f\(\sum\limits_{i=1}^{s}x_i\)+\sum\limits_{j=1}^{s}f\(-sx_j+\sum\limits_{i=1,i{\neq}j}^{s}x_i\)=0$$ and $$f\(\sum\limits_{i=1}^{l}x_i\)+\sum\limits_{j=1}^{l}f\(-lx_j+\sum\limits_{i=1,i{\neq}j}^{l}x_i\)=(l+1)$$$\sum\limits_{i=1,i{\neq}j}^{l}f(x_i-x_j)+(l+1)\sum\limits_{i=1}^{l}f(x_i)$ (s, l ∈ N, s, l ≥ 3) in quasi-Banach spaces.

FIXED POINT THEOREMS FOR (𝜙, F)-CONTRACTION IN GENERALIZED ASYMMETRIC METRIC SPACES

  • Rossafi, Mohamed;Kari, Abdelkarim;Lee, Jung Rye
    • The Pure and Applied Mathematics
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    • v.29 no.4
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    • pp.369-399
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    • 2022
  • In the last few decades, a lot of generalizations of the Banach contraction principle have been introduced. In this paper, we present the notion of (𝜙, F)-contraction in generalized asymmetric metric spaces and we investigate the existence of fixed points of such mappings. We also provide some illustrative examples to show that our results improve many existing results.

BEST PROXIMITY POINT THEOREMS FOR CYCLIC 𝜃-𝜙-CONTRACTION ON METRIC SPACES

  • Rossafi, Mohamed;Kari, Abdelkarim;Lee, Jung Rye
    • The Pure and Applied Mathematics
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    • v.29 no.4
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    • pp.335-352
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    • 2022
  • In this paper, we give an extended version of fixed point results for 𝜃-contraction and 𝜃-𝜙-contraction and define a new type of contraction, namely, cyclic 𝜃-contraction and cyclic 𝜃-𝜙-contraction in a complete metric space. Moreover, we prove the existence of best proximity point for cyclic 𝜃-contraction and cyclic 𝜃-𝜙-contraction. Also, we establish best proximity result in the setting of uniformly convex Banach space.

The Automatic Coordination Model for Multi-Agent System Using Learning Method (학습기법을 이용한 멀티 에이전트 시스템 자동 조정 모델)

  • Lee, Mal-Rye;Kim, Sang-Geun
    • The KIPS Transactions:PartB
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    • v.8B no.6
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    • pp.587-594
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    • 2001
  • Multi-agent system fits to the distributed and open internet environments. In a multi-agent system, agents must cooperate with each other through a coordination procedure, when the conflicts between agents arise. Where those are caused by the point that each action acts for a purpose separately without coordination. But previous researches for coordination methods in multi-agent system have a deficiency that they cannot solve correctly the cooperation problem between agents, which have different goals in dynamic environment. In this paper, we suggest the automatic coordination model for multi-agent system using neural network and reinforcement learning in dynamic environment. We have competitive experiment between multi-agents that have complexity environment and diverse activity. And we analysis and evaluate effect of activity of multi-agents. The results show that the proposed method is proper.

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Motion Vector Recovery Based on Homogeneous Motion Area for H.263 Video Communications (H.263 비디오 통신을 위한 동일 움직임영역 기반 움직임벡터 복원)

  • Kim, Jeong-Hyeon;Son, Nam-Rye;Park, Seong-Chan;Hwang, Seong-Un;Yun, Gi-Song;Son, Deok-Ju;Lee, Gwi-Sang
    • The KIPS Transactions:PartB
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    • v.8B no.1
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    • pp.43-49
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    • 2001
  • 이동통신 채널과 같이 에러 발생율이 높은 환경에서 부호화된 비디오를 전송할 때 채널에어에 손상된 비트스트림은 복호되기 어려울 뿐만 아니라, 비트스트림의 다른 부분으로까지 에러를 전파시킨다. 한 프레임에 손실블록이 있을 때 기존방법에서는 주변블록들의 움직임벡터 평균을 구하거나 비슷한 예측을 통해 손실블록의 움직임벡터를 복원한다. 그러나 손실블록이 움직이는 객체의 경계부근에서 발생할 때 기존방법은 효율적이지 못한다. 따라서 제안 알고리즘은 기존방법보다 정확한 움직임벡터를 예측하기 위해 손실블록의 주변블록들 중세서 동일한 움직임을 갖는 블록들로 구성된 영역을 찾은 후, 동일움직임영역에 포함된 블록들의 움직임벡터를 이용하여 손실된 블록을 복원한다. 실험결과 제안방법이 기존방법에 비해 PSNR과 시각적인 화질면에서 우수한 성능을 보임을 알 수 있다.

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THE INFLUENCE OF SELECTED CHEMICAL TREATMENTS ON THE RUMINAL DEGRADATION AND SUBSEQUENT INTESTINAL DIGESTION OF CEREAL STRAW

  • Wanapat, M.;Varvikko, T.;Vanhatalo, A.
    • Asian-Australasian Journal of Animal Sciences
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    • v.3 no.2
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    • pp.75-83
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    • 1990
  • An experiment was conducted with three ruminally and intestinally cannulated non-lactating cows of Finnish Ayrshire breed, to assess the ruminal degradation characteristics of oat (Avena sativa), rye (Secale cereale) and rice (Oryza sativa) straw by the nylon bag technique, and the subsequent post-ruminal degradation of their rumen-undegraded residues by using the mobile bag technique, respectively. The straw samples were untreated or treated with aqueous $NH_3$ or with urea solution in cold or hot water. The untreated straw samples were milled or chopped, and the treated straw samples were chopped. The constant values a, b, and c were computed according to the exponential equation, where a = intercept of degradation curve at time 0, b = potentially degradable material, c = rate of degradation of band (a+b) = maximum potential degradability (asymptote). It was found that nitrogen contents of chemically treated straw were markedly increased by both $NH_3$ and urea treatments. Milling the samples attributed to a remarkable loss at 0 h incubation time as compared to chopping of the respective samples. However, chemical treatment markedly improved the b value and the subsequent (a+b) values for dry matter, organic matter, neutral-detergent fiber, and acid-detergent fiber of the samples. Furthermore, temperature of the water used in the urea solutions was considered essential, since urea in hot water rather than in cold water seemed to enhance the overall degradability. The disappearance of rumen-incubated straw residues from the mobile bags ranged from 4.5 to 9.6% for the parameters measured. On average, the OM disappearance from bags was clearly higher for the residues of urea treated straw compared to those of ammonia treated straw, but the disappearance of NDF tended, however, to be higher on the ammonia treatment.

An Effective P-Frame Transcoding from H.264 to MPEG-2 (H.264 to MPEG-2 Transcoding을 위한 효율적인 P-Frame 변환 방법)

  • Kim, Gi-Hong;Son, Nam-Rye;Lee, Guee-Sang
    • The KIPS Transactions:PartB
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    • v.17B no.1
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    • pp.31-36
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    • 2010
  • After the launch of MPEG-2, it is widely used in multimedia applications like a Digital-TV or a DVD. Then, After the launch of H.264 at 2004, it has been expected to replace MPEG-2 and services IPTV and DMB. As we have been used to MPEG-2 devices by this time, we can not access H.264 Broadcast with MPEG-2 device. So We propose a new approach to transcode H.264 video into MPEG-2 form which can facilitate to display H.264 video with MPEG-2 device. To reduce the quality loss by transcoding, we use CPDT(Cascaded Pixel Domain Transcoder) structure. And to minimize processing time, SKIP block, INTRA block and motion vectors obtain from decoding process is employed for transcoding. we use BMA(Boundary Matching Algorithm) to select only one from candidate motion vectors. Experimental results show a considerable improved PSNR with reduction in processing time compared with existing methods.