• Title/Summary/Keyword: Normal Mapping

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MULTI-VALUED HICKS CONTRACTIONS IN 𝑏-MENGER SPACES

  • Youssef Achtoun;Mohammed Sefian Lamarti;Ismail Tahiri
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.2
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    • pp.477-485
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    • 2024
  • In this work, we will generalize the notion of multivalued (ν, 𝒞)-contraction mapping in 𝑏-Menger spaces and we shall give a new fixed point result of this type of mappings. As a consequence of our main result, we obtained the corresponding fixed point theorem in fuzzy 𝑏-metric spaces. Also, an example will be given to illustrate the main theorem in ordinary 𝑏-metric spaces.

A Hybrid Mapping Technique for Logical Volume Manager in SAN Environments (SAN 논리볼륨 관리자를 위한 혼합 매핑 기법)

  • 남상수;피준일;송석일;유재수;최영희;이병엽
    • Journal of KIISE:Computing Practices and Letters
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    • v.10 no.1
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    • pp.99-113
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    • 2004
  • A new architecture called SAN(Storage Area Network) was developed in response to the requirements of high availability of data, scalable growth, and system performance. In order to use SAN more efficiently, most of SAN operating softwares support storage virtualization concepts that allow users to view physical storage devices attached to SAN as a large volume virtually h logical volume manager plays a key role in storage virtualization. It realizes the storage virtualization by mapping logical addresses to physical addresses. A logical volume manager also supports a snapshot that preserves a volume image at certain time and on-line reorganization to allow users to add/remove storage devices to/from SAN even while the system is running. To support the snapshot and the on-line reorganization, most logical volume managers have used table based mapping methods. However, it is very difficult to manage mapping table because the mapping table is large in proportion to a storage capacity. In this paper, we design and implement an efficient and flexible hybrid mapping method based on mathematical equations. The mapping method in this paper supports a snapshot and on-line reorganization. The proposed snapshot and on-line reorganization are performed on the reserved area which is separated from data area of a volume. Due to this strategy normal I/O operations are not affected by snapshot and reorganization. Finally, we show the superiority of our proposed mapping method through various experiments.

Reduced Regional Cerebral Blood Flow in Patients with Traumatic Brain Injury Who Had No Structural Abnormalities on Magnetic Resonance Imaging : A Quantitative Evaluation of Tc-99m-ECD SPECT Findings (정상 MRI 소견을 보이는 외상성 뇌손상 환자에서 국소뇌혈류량의 이상)

  • Kim, Nam-Hee;Chung, Young-Ki
    • Korean Journal of Biological Psychiatry
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    • v.9 no.2
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    • pp.152-158
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    • 2002
  • Background & Purpose:Neuropsychological disorders after traumatic brain injury(TBI) are poorly correlated with structural lesions detected by structural neuroimaging techniques such as computed tomography(CT) scan or magnetic resonance imaging(MRI). It is well known that patients with TBI have cognitive and behavioral disorders even in the absence of structural lesions of the brain. This study investigated whether there are abnormalities of regional cerebral blood flow(rCBF) in TBI patients without structural abnormality on MRI, using technetium 99m ethyl cysteinate dimer(Tc-99m-ECD) single photon emission computed tomography(SPECT) scans. Materials and Methods:Twenty-eight TBI patients without structural abnormality on MRI(mild, n=13/moderate, n=9/severe, n=6) and fifteen normal controls were scanned by SPECT. A voxel-based analysis using statistical parametric mapping(SPM) was performed to compare the patients with the normal controls. Results:rCBF was reduced in the right uncus and the right lateral orbitofrontal gyrus in the TBI patients. However, no increase of rCBF was noted in the patients in comparison to the normal controls. Conclusions:These results suggest that the TBI patients, even in the absence of structural lesion of the brain, may have dysfunction of the brain, particularly of the orbitofrontal and anterior pole of the temporal cortex. They also suggest that SPECT can be a useful method to identify brain dysfunctions in combination with structural brain imaging and neuropsychological tests.

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A Study on the Effect of Acupuncture on Anesthesia and the Mode of Action (The First Report) - Focused on Brain Mapping - (자침(刺鍼)이 마취(痲醉)에 미치는 작용기전(作用機轉) 연구(硏究) (제(第) 1 보(報)) - 뇌파를 중심으로 -)

  • Park, Hee-soo;Park, Kyoung-sik
    • Journal of Acupuncture Research
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    • v.19 no.4
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    • pp.132-139
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    • 2002
  • This study was carried to identify whether acupuncture at several meridian points can affect the human anesthesia or not using the EEG mapping. We observe the change in the brain wave patterns obtained by electroencephalogram after acupuncture. 1. It is concluded that the pattern of resting computerized EEG map in intact human is normal and acupunctuation at determined meridian points induced lesser narrow field of alpha activity, more extensive field of ${\delta}$, ${\theta}$ activity, father resulted in marked shift to cerebrofrontal dominance in field of ${\delta}$, ${\theta}$ activity by t-SPM. 2. It seems likely that acupunctuation at experimental meridian points acts on slight anesthesia or hypnosis.

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FIXED POINT THEOREMS OF WEAKLY MONOTONE PREŠIĆ TYPE MAPPINGS IN ORDERED CONE METRIC SPACES

  • Khan, Mohammad Saeed;Shukla, Satish;Kang, Shin Min
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.881-893
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    • 2015
  • In this paper, we introduce the weakly monotone $Pre{\check{s}}i{\acute{c}}$ type mappings in product spaces when the underlying space is an ordered cone metric space. Some fixed point results for such mappings are also proved which generalize and unify several known results in metric and cone metric spaces with normal cone. The results are supported by examples.

GENERAL VARIATIONAL INCLUSIONS AND GENERAL RESOLVENT EQUATIONS

  • Liu, Zeqing;Ume, Jeong-Sheok;Kang, Shin-Min
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.2
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    • pp.241-256
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    • 2004
  • In this paper, we introduce and study a new class of variational inclusions, called the general variational inclusion. We prove the equivalence between the general variational inclusions, the general resolvent equations, and the fixed-point problems, using the resolvent operator technique. This equivalence is used to suggest and analyze a few iterative algorithms for solving the general variational inclusions and the general resolvent equations. Under certain conditions, the convergence analyses are also studied. The results presented in this paper generalize, improve and unify a number of recent results.

Image-Based Relighting - Luminance Mapping Based on Lighting Functions

  • Manabe, Tomohisa;Raytchev, Bisser;Tamaki, Toru;Kaneda, Kazufumi
    • International Journal of CAD/CAM
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    • v.12 no.1
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    • pp.38-47
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    • 2012
  • The paper proposes a method for generating a sequence of images with smooth transition of illumination from two input images with different lighting conditions. Our relighting approach is image-based, such as the light field rendering. We store the luminances (pixel RGB values) into "lighting functions" consisting of a couple of parameters related to normal vectors. Images with different light positions are rendered by interpolating the luminances retrieved from the lighting functions. The proposed method is a promising technique for many applications requiring a scene with variety of lighting effects, such as movies, TV games, and so on.

Modeling pediatric tumor risks in Florida with conditional autoregressive structures and identifying hot-spots

  • Kim, Bit;Lim, Chae Young
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.5
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    • pp.1225-1239
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    • 2016
  • We investigate pediatric tumor incidence data collected by the Florida Association for Pediatric Tumor program using various models commonly used in disease mapping analysis. Particularly, we consider Poisson normal models with various conditional autoregressive structure for spatial dependence, a zero-in ated component to capture excess zero counts and a spatio-temporal model to capture spatial and temporal dependence, together. We found that intrinsic conditional autoregressive model provides the smallest Deviance Information Criterion (DIC) among the models when only spatial dependence is considered. On the other hand, adding an autoregressive structure over time decreases DIC over the model without time dependence component. We adopt weighted ranks squared error loss to identify high risk regions which provides similar results with other researchers who have worked on the same data set (e.g. Zhang et al., 2014; Wang and Rodriguez, 2014). Our results, thus, provide additional statistical support on those identied high risk regions discovered by the other researchers.

PROXIMAL POINT ALGORITHMS BASED ON THE (A, 𝜂)-MONOTONE MAPPINGS

  • Qin, Xiaolong;Shang, Meijuan;Yuan, Qing
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.2
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    • pp.147-155
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    • 2008
  • In this paper, we consider proximal point algorithms based on ($A,{\eta}$)-monotone mappings in the framework of Hilbert spaces. Since ($A,{\eta}$)-monotone mappings generalize A-monotone mappings, H-monotone mappings and many other mappings, our results improve and extend the recent ones announced by [R.U. Verma, Rockafellars celebrated theorem based on A-maximal monotonicity design, Appl. Math. Lett. 21 (2008), 355-360] and [ R.T. Rockafellar, Monotone operators and the proximal point algorithm, SIAM J. Control Optim. 14 (1976) 877-898] and some others.

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An improved spectrum mapping applied to speaker adaptive Kroean word recognition

  • Matsumoto, Hiroshi;Lee, Yong-Ju;Kim, Hoi-Rim;Kido, Ken'iti
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1994.06a
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    • pp.1009-1014
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    • 1994
  • This paper improves the previously proposed spectral mapping method for supervised speaker adaptation in which a mapped spectrum is interpolated from speaker difference vectors at typical spectra based on a minimized distortion criterion. In estimating these difference vectors, it is important to find an appropriate number of typical points. The previous method empirically adjusts the number of typical points, while the present method optimizes the effective number by rank reduction of normal equation. This algorithm was applied to a supervised speaker adaptation for Korean word recognition using the templates form a prototype male speaker. The result showed that the rank reduction technique not only can automatically determine an optimal number of code vectors, but also slightly improves the recognition scores compared with those obtained by the previous method.

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