• Title/Summary/Keyword: T-Map

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INTRODUCTION OF T -HARMONIC MAPS

  • Mehran Aminian
    • The Pure and Applied Mathematics
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    • v.30 no.2
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    • pp.109-129
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    • 2023
  • In this paper, we introduce a second order linear differential operator T□: C (M) → C (M) as a natural generalization of Cheng-Yau operator, [8], where T is a (1, 1)-tensor on Riemannian manifold (M, h), and then we show on compact Riemannian manifolds, divT = divTt, and if divT = 0, and f be a smooth function on M, the condition T□ f = 0 implies that f is constant. Hereafter, we introduce T-energy functionals and by deriving variations of these functionals, we define T-harmonic maps between Riemannian manifolds, which is a generalization of Lk-harmonic maps introduced in [3]. Also we have studied fT-harmonic maps for conformal immersions and as application of it, we consider fLk-harmonic hypersurfaces in space forms, and after that we classify complete fL1-harmonic surfaces, some fLk-harmonic isoparametric hypersurfaces, fLk-harmonic weakly convex hypersurfaces, and we show that there exists no compact fLk-harmonic hypersurface either in the Euclidean space or in the hyperbolic space or in the Euclidean hemisphere. As well, some properties and examples of these definitions are given.

A Study on the Making Period and Historic Values of the "Kyeongbokgung-Baechido" held by the Korea University Museum (고려대학교 박물관 소장 "경복궁배치도"의 제작시기와 사료가치(史料價値)에 대한 연구)

  • Yi, Hye-Won
    • Journal of architectural history
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    • v.17 no.4
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    • pp.43-64
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    • 2008
  • Kyeongbokgung succeeded in regaining its status as a royal palace after the reconstruction that began in the second year of King Gojong(1865) only to have most of its buildings taken down in the early 20th century. Fortunately, however, there is the Pukkwoldohyong(Map of North Palace), which drew out each of the buildings of Kyeongbokgung and their arrangement in details in 1907 when the royal palace lost its original appearance. And there is another plot plan of the royal palace at the Korea University Museum, which labeled it Kyeongbokgung-Baechido(Planning Map of Kyeongbokgung Palace). The map presents almost the same plan as Pukkwoldohyong in terms of making and expressive methods, being estimated to have been made in 1888 since its building arrangement doesn't show the changes made after 1890. The map also offers more information about the uses of each building than Pukkwoldohyong and matches the excavation results of the relics. Kyeongbokgung-Jeondo(Map of Kyeongbokgung Palace), which is recorded to be made during the reconstruction of the palace in the early years of King Gojong in historical materials, describes the shapes and arrangements of the buildings in a concrete and realistic fashion. The Kyeongbokgung-Baechido seems to be one of the plans made in the process of restoring and repairing buildings that were lost or destroyed in fire. The Kyeongbokgung-Baschido has the following historic values; 1) it provides dues to estimate the early state of the palace after the reconstruction during the reign of King Gojong. In fact the Sujeongjeon and Heungbokjeon show the early state of the reconstruction; 2) it contains data with which to understand the changes to the palace after 1890, around which they added Hamhwadang and Jibokjae; and 3) it offers information about the uses of the palace's buildings from 1885 to 1880 with its descriptions of the building purposes and relationships regarding the life in the palace.

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STRONG CONVERGENCE OF COMPOSITE IMPLICIT ITERATIVE PROCESS FOR A FINITE FAMILY OF NONEXPANSIVE MAPPINGS

  • Gu, Feng
    • East Asian mathematical journal
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    • v.24 no.1
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    • pp.35-43
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    • 2008
  • Let E be a uniformly convex Banach space and K be a nonempty closed convex subset of E. Let ${\{T_i\}}^N_{i=1}$ be N nonexpansive self-mappings of K with $F\;=\;{\cap}^N_{i=1}F(T_i)\;{\neq}\;{\theta}$ (here $F(T_i)$ denotes the set of fixed points of $T_i$). Suppose that one of the mappings in ${\{T_i\}}^N_{i=1}$ is semi-compact. Let $\{{\alpha}_n\}\;{\subset}\;[{\delta},\;1-{\delta}]$ for some ${\delta}\;{\in}\;(0,\;1)$ and $\{{\beta}_n\}\;{\subset}\;[\tau,\;1]$ for some ${\tau}\;{\in}\;(0,\;1]$. For arbitrary $x_0\;{\in}\;K$, let the sequence {$x_n$} be defined iteratively by $\{{x_n\;=\;{\alpha}_nx_{n-1}\;+\;(1-{\alpha}_n)T_ny_n,\;\;\;\;\;\;\;\;\; \atop {y_n\;=\;{\beta}nx_{n-1}\;+\;(1-{\beta}_n)T_nx_n},\;{\forall}_n{\geq}1,}$, where $T_n\;=\;T_{n(modN)}$. Then {$x_n$} convergence strongly to a common fixed point of the mappings family ${\{T_i\}}^N_{i=1}$. The result presented in this paper generalized and improve the corresponding results of Chidume and Shahzad [C. E. Chidume, N. Shahzad, Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings, Nonlinear Anal. 62(2005), 1149-1156] even in the case of ${\beta}_n\;{\equiv}\;1$ or N=1 are also new.

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Comparative Analysis of T4SS Molecular Architectures

  • Mishghan Zehra;Jiwon Heo;Jeong Min Chung;Clarissa L Durie
    • Journal of Microbiology and Biotechnology
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    • v.33 no.12
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    • pp.1543-1551
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    • 2023
  • The recently published high-resolution R388 T4SS structure provides exciting new details about the complete complex of T4SS, including the components making up the stalk and arches, numerous symmetry mismatches between regions of the complex, and an intriguing interpretation of the closed stalk and radial symmetry of the inner membrane complex, which is related to pilus biogenesis assembly. However, there are a few unidentified densities in the electron microscopy map and portions of the identified component sequences for which the structure is not yet known. It is also unclear how well this minimized DNA-transporting T4SS predicts the structure of other T4SSs, such as expanded systems and those that transport proteins rather than DNA. In this review, we evaluate what can be inferred from the recent high-resolution structure of the R388 T4SS with respect to the Cag and Dot/Icm systems. These systems were selected because, given what is currently known about these systems, we expect them to present most structural differences compared to the R388 T4SS structure. Furthermore, we discuss bacterial physiology and diversity, the T4SS structures and their variations between different bacterial species. These insights may prove beneficial for researchers who elucidate the structure and functions of T4SS in different bacterial species.

Development of MR Compatible Coaxial-slot Antenna for Microwave Hyperthermia (초고주파 가열치료를 위한 MR 호환 동축 슬롯 안테나의 개발)

  • Kim, T.H.;Chun, S.I.;Han, Y.H.;Kim, D.H.;Mun, C.W.
    • Journal of Biomedical Engineering Research
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    • v.30 no.4
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    • pp.333-340
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    • 2009
  • MR compatible coaxial-slot antenna for microwave hyperthermia was developed while its structure and size of each part were determined by computer simulation using finite element method(FEM). Its local heating performance was evaluated using tissue-mimic phantom and swine muscles. 2% agarose gel mixed with 6mM/$\ell$ $MnCl_2$ as a biological tissue-mimic phantom was heated by the proposed antenna driven by a 2.45GHz microwave generator. The temperature changes of the phantom were monitored using multi-channel digital thermometer at the distance of 0mm, 5mm, 10mm and 20mm from the tip center of the antenna. Also muscle tissue of swine was heated for 2 and 5minutes with 50W and 30W of microwave generator powers, respectively, to evaluate the local heating performance of the antenna. MRI compatibility was also verified by acquiring MR images and MR temperature map. MR signals were acquired from the agarose gel phantom using $T2^*$ GRE sequence with 1.5T clinical MRI scanner(Signa Echospeed, GE, Milwaukee, WI, U.S.A.) at Pusan Paik Hospital and were transferred to PC in order to reconstruct MR images and temperature map using proton resonance frequency(PRF) method and laboratory-developed phase unwrapping algorithm. Authors found that it has no severe distortion due to the antenna inserted into the phantom. Finally, we can conclude that the suggested coaxial-slot antenna has an excellent local heating performance for both of tissue-mimic phantom and swine muscle, and it is compatible to 1.5T MRI scanner.

Study on Effectiveness of Korea's Basic Research based on S&T Statistics and Information (과학기술 통계·정보에 기반한 한국의 기초연구 효과성에 관한 연구)

  • Park, Kwisun;Seok, Hyeeun;Park, Jinseo;Kim, Haedo
    • The Journal of the Korea Contents Association
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    • v.17 no.11
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    • pp.331-341
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    • 2017
  • As increasing the importance of the R&D strategy planning based on S&T evidence, the S&T DB was conducted to develop appropriate basic research support strategies by collecting 49 multiple-nations' statistics and information, extracting 6446 raw data, categorizing 877 indicators including 208 core indicators. An statistical and knowledge map analysis using the highly cited publication-related indicators was conducted to examine the expansion of DB utilization by demonstrating effectiveness of Korea's basic research. As a result, basic research investment have a strong influence on creating outstanding R&D outcomes and on producing a foundation of various S&T based-growth engines.

Outlier Detection Based on MapReduce for Analyzing Big Data (대용량 데이터 분석을 위한 맵리듀스 기반의 이상치 탐지)

  • Hong, Yejin;Na, Eunhee;Jung, Yonghwan;Kim, Yangwoo
    • Journal of Internet Computing and Services
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    • v.18 no.1
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    • pp.27-35
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    • 2017
  • In near future, IoT data is expected to be a major portion of Big Data. Moreover, sensor data is expected to be major portion of IoT data, and its' research is actively carried out currently. However, processed results may not be trusted and used if outlier data is included in the processing of sensor data. Therefore, method for detection and deletion of those outlier data before processing is studied in this paper. Moreover, we used Spark which is memory based distributed processing environment for fast processing of big sensor data. The detection and deletion of outlier data consist of four stages, and each stage is implemented with Mapper and Reducer operation. The proposed method is compared in three different processing environments, and it is expected that the outlier detection and deletion performance is best in the distributed Spark environment as data volume is increasing.

Land Generated Waste Load Unit Estimation Based on Land Use Map with LP Optimization (LP 최적화에 의한 토지피복도 기반 토지계 발생부하 원단위 산정)

  • Park, Kyung Ok;Lee, Chang Hee
    • Journal of Wetlands Research
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    • v.18 no.3
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    • pp.226-231
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    • 2016
  • Land Generated Waste Load Unit(LGWLU) estimation based on land use data is required to understand the impact of land use on water quality. The method of estimating LGWLU based on the monitoring data requires a lot of time and manpower. In this study, we propose a method of land pollution unit load estimation based on land use data with LP optimization. Optimization is the process to obtain the best possible optimal solution in a given condition. This study carried out optimization by using excel solver in Microsoft Excel. This study derived LGWLU of BOD, T-N, T-P in Gongju-Si and Seocheon-Gun by using the 2012 land use map made by ministry of environment based on 2010 satellite image. This study about LGWLU estimation is expected to be able to determine more clearly the water pollution caused by land use changes.

Magnetic resonance imaging texture analysis for the evaluation of viable ovarian tissue in patients with ovarian endometriosis: a retrospective case-control study

  • Lee, Dayong;Lee, Hyun Jung
    • Journal of Yeungnam Medical Science
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    • v.39 no.1
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    • pp.24-30
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    • 2022
  • Background: Texture analysis has been used as a method for quantifying image properties based on textural features. The aim of the present study was to evaluate the usefulness of magnetic resonance imaging (MRI) texture analysis for the evaluation of viable ovarian tissue on the perfusion map of ovarian endometriosis. Methods: To generate a normalized perfusion map, subtracted T1-weighted imaging (T1WI), T1WI and contrast-enhanced T1W1 with sequences were performed using the same parameters in 25 patients with surgically confirmed ovarian endometriosis. Integrated density is defined as the sum of the values of the pixels in the image or selection. We investigated the parameters for texture analysis in ovarian endometriosis, including angular second moment (ASM), contrast, correlation, inverse difference moment (IDM), and entropy, which is equivalent to the product of area and mean gray value. Results: The perfusion ratio and integrated density of normal ovary were 0.52±0.05 and 238.72±136.21, respectively. Compared with the normal ovary, the affected ovary showed significant differences in total size (p<0.001), fractional area ratio (p<0.001), and perfusion ratio (p=0.010) but no significant differences in perfused tissue area (p=0.158) and integrated density (p=0.112). In comparison of parameters for texture analysis between the ovary with endometriosis and the contralateral normal ovary, ASM (p=0.004), contrast (p=0.002), IDM (p<0.001), and entropy (p=0.028) showed significant differences. A linear regression analysis revealed that fractional area had significant correlations with ASM (r2=0.211), IDM (r2=0.332), and entropy (r2=0.289). Conclusion: MRI texture analysis could be useful for the evaluation of viable ovarian tissues in patients with ovarian endometriosis.