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k-PRIME CORDIAL GRAPHS

  • PONRAJ, R.;SINGH, RAJPAL;KALA, R.;NARAYANAN, S. SATHISH
    • Journal of applied mathematics & informatics
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    • v.34 no.3_4
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    • pp.227-237
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    • 2016
  • In this paper we introduce a new graph labeling called k-prime cordial labeling. Let G be a (p, q) graph and 2 ≤ p ≤ k. Let f : V (G) → {1, 2, . . . , k} be a map. For each edge uv, assign the label gcd (f(u), f(v)). f is called a k-prime cordial labeling of G if |vf (i) − vf (j)| ≤ 1, i, j ∈ {1, 2, . . . , k} and |ef (0) − ef (1)| ≤ 1 where vf (x) denotes the number of vertices labeled with x, ef (1) and ef (0) respectively denote the number of edges labeled with 1 and not labeled with 1. A graph with a k-prime cordial labeling is called a k-prime cordial graph. In this paper we investigate the k-prime cordial labeling behavior of a star and we have proved that every graph is a subgraph of a k-prime cordial graph. Also we investigate the 3-prime cordial labeling behavior of path, cycle, complete graph, wheel, comb and some more standard graphs.

Effect of zirconia ceramic sintering condition on the precision of fit in dental restorations (지르코니아 세라믹 소결조건이 치과보철물의 적합도에 미치는 영향)

  • Kim, Jae-Hong;Kim, Ki-Baek
    • Journal of Technologic Dentistry
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    • v.42 no.2
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    • pp.121-128
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    • 2020
  • Purpose: This study aimed to investigate the effects of the sintering conditions of zirconia core on the adaptability. Methods: Ten specimens of each of commercial brand of zirconia(Razor 1100, U&C international, Seoul, Korea) were made and sintered under three different conditions. Specimens were divided into three subgroup(n=10) and sintered with various total time(1hr, 3hr, 9hr) at the maximum temperature(1500℃). The digitized data was superimposed with 3D inspection software to quantitatively obtain the adaptation of a zirconia core, and visual differences were confirmed with a color map. The root mean square(RMS) values of group were statistically analyzed with one-way ANOVA(α=0.05). Results: The overall adaptation of the zirconia cores were as follows; ss-1hr: 36.18±5.2㎛, ss-3hr: 39.55±3.9㎛, cs-9hr: 46.62±4.3㎛. They were statistically significant differences between groups for adaptation(p<0.05). Conclusion: Based on the results of this study, it could be considered that sintering condition of 1500℃ and 1~3 hour is recommended for the better marginal and internal fit. Speed sintering can be widely utilized to fabricate zirconia prothesis as the properties of those almost are to dentistry uses.

A NOTE ON DERIVATIONS OF A SULLIVAN MODEL

  • Kwashira, Rugare
    • Communications of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.279-286
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    • 2019
  • Complex Grassmann manifolds $G_{n,k}$ are a generalization of complex projective spaces and have many important features some of which are captured by the $Pl{\ddot{u}}cker$ embedding $f:G_{n,k}{\rightarrow}{\mathbb{C}}P^{N-1}$ where $N=\(^n_k\)$. The problem of existence of cross sections of fibrations can be studied using the Gottlieb group. In a more generalized context one can use the relative evaluation subgroup of a map to describe the cohomology of smooth fiber bundles with fiber the (complex) Grassmann manifold $G_{n,k}$. Our interest lies in making use of techniques of rational homotopy theory to address problems and questions involving applications of Gottlieb groups in general. In this paper, we construct the Sullivan minimal model of the (complex) Grassmann manifold $G_{n,k}$ for $2{\leq}k<n$, and we compute the rational evaluation subgroup of the embedding $f:G_{n,k}{\rightarrow}{\mathbb{C}}P^{N-1}$. We show that, for the Sullivan model ${\phi}:A{\rightarrow}B$, where A and B are the Sullivan minimal models of ${\mathbb{C}}P^{N-1}$ and $G_{n,k}$ respectively, the evaluation subgroup $G_n(A,B;{\phi})$ of ${\phi}$ is generated by a single element and the relative evaluation subgroup $G^{rel}_n(A,B;{\phi})$ is zero. The triviality of the relative evaluation subgroup has its application in studying fibrations with fibre the (complex) Grassmann manifold.

Hierarchized Male Sexuality in Modern England and "Solitary Vice" (근대 영국에서의 위계화된 남성 섹슈얼리티와 "홀로 저지르는 죄악")

  • Gye, Joengmeen
    • Journal of English Language & Literature
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    • v.54 no.4
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    • pp.443-459
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    • 2008
  • This paper examines the discourse of masturbation in modern England and aims to re-draw the map of male sexuality related to such issues as nation, empire, family, and economy. It argues that the discourse of masturbation in modern England reflects national anxieties for the future of empire and an economic concern for unproductive sexual behavior, which were the main factors to transform masturbation into "solitary vice." The anxieties about empire and British dominance were constituted as the core of the anti-masturbation discourse on the boys. The imperial destiny was regarded to depend on the protection of the middle- and upper-class boys from the harmful psychological and physiological effects of masturbation represented in Lawrence's "The Rocking-Horse Winner." In the case of a single male, the concern for masturbation is constructed as a concern about economy, family, and human solidarity. As seen in Eliot's Silas Marner, the act of masturbation was condemned as the fulfillment of illegitimate sexual desire outside the familial sphere and a commercial economy, and thus without the possibility of human community. Silas Marner and Meredith's The Ordeal of Richard Feverel show the ways of reconstituting sexual others as normalized subjects: Boys were forced to be asexual through the regime of surveillance; and a single male was required to enroll in a remedial course on familial respectability.

DP-LinkNet: A convolutional network for historical document image binarization

  • Xiong, Wei;Jia, Xiuhong;Yang, Dichun;Ai, Meihui;Li, Lirong;Wang, Song
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.15 no.5
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    • pp.1778-1797
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    • 2021
  • Document image binarization is an important pre-processing step in document analysis and archiving. The state-of-the-art models for document image binarization are variants of encoder-decoder architectures, such as FCN (fully convolutional network) and U-Net. Despite their success, they still suffer from three limitations: (1) reduced feature map resolution due to consecutive strided pooling or convolutions, (2) multiple scales of target objects, and (3) reduced localization accuracy due to the built-in invariance of deep convolutional neural networks (DCNNs). To overcome these three challenges, we propose an improved semantic segmentation model, referred to as DP-LinkNet, which adopts the D-LinkNet architecture as its backbone, with the proposed hybrid dilated convolution (HDC) and spatial pyramid pooling (SPP) modules between the encoder and the decoder. Extensive experiments are conducted on recent document image binarization competition (DIBCO) and handwritten document image binarization competition (H-DIBCO) benchmark datasets. Results show that our proposed DP-LinkNet outperforms other state-of-the-art techniques by a large margin. Our implementation and the pre-trained models are available at https://github.com/beargolden/DP-LinkNet.

Experimental research on 2 stage GM-type pulse tube refrigerator for cryopump

  • Park, Seong-Je;Ko, Jun-Seok;Hong, Yong-Ju;Kim, Hyo-Bong;Yeom, Han-Kil;Koh, Deuk-Yong
    • Progress in Superconductivity and Cryogenics
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    • v.12 no.2
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    • pp.29-33
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    • 2010
  • The experimental results of the 2 stage Gifford-McMahon(GM) type pulse tube refrigerator (PTR) or cryopump are presented in this paper. The objectives of his study are to develop design technology of the integral type 2 stage PTR which rotary valve is directly connected to he hot end of the regenerator and acquire its improved performance. Design of the 2 stage PTR is conducted by FZKPTR(Forschungs Zentrum Karlsruhe Pulse Tube Refrigerator) program for the design of pulse tube refrigerators. The fabricated PTR has U-type configuration and incorporates orifice valve, double-inlet valve and reservoir as phase control mechanism. Rotary valve is used to make pulsating pressure and is directly connected to inlet of $1^{st}$ stage regenerator. From experiments, cooling performance map and pressure waveform at each point were measured for different operating frequencies. Experimental results show the best cooling performance with 2 Hz operation in spite of small pressure amplitude. The lowest temperatures of the 2 stage PTR were 16.9 K at the second stage and 58.0 K at the first stage. The cooling capacities achieved were 14.4 W at 79 K, the first stage and 3.6 W at 29 K, the second stage.

Shakespeare and Traditional Korean Astronomy (셰익스피어와 한국의 전통 천문학)

  • Han, Younglim
    • Journal of English Language & Literature
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    • v.58 no.4
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    • pp.633-653
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    • 2012
  • This paper discusses the two major Korean Shakespeares, Kim Myung-Gon's King Uru and Oh Tae-Suk's Romeo and Juliet, in answer to the request made by Stanley Wells at the 2006 Craiova Shakespeare Festival: theatre practitioners should have 'something worthwhile to say' before they put something of their own in Shakespeare's place. Kim and Oh, who have won international acclaim for their adaptations, present 'something worthwhile to say' by bringing Shakespeare to the world in the light of traditional Korean astronomy. The star map named 'Cheonsang yeolcha bunya jido,' which was founded in 1395 and designated as the No. 228 National Treasure of Korea in 1985, is employed as a means by which to bring 'something worthwhile to say' to Shakespeare: it works as a symbol of the cosmic power to restore the divided kingdom and strengthen the kingly power in King Uru; its concept of Hyeonmu, the northern seven lodges of the twenty-eight constellations, is associated with the deaths of not only the lovers but also the whole members of their families in Romeo and Juliet. It is representative of the sunny, light and fiery force of yang in King Uru, whereas of the shady, dark and watery force of yin in Romeo and Juliet. Thus these two productions differ in their approaches, although they make the relevance of traditional Korean astronomy recognizable by redrawing the bounds of Shakespearean tragedy genre: King Uru reminds us of the human capacity for self-recovery, while Romeo and Juliet the human capacity for self-destruction.

A Symptomatic Reading of 'Discrimination' and 'Difference' in A Gesture Life (『제스처 라이프』에 나타난 '차별'과 '차이'의 징후적 읽기)

  • Rhee, Suk Koo
    • Journal of English Language & Literature
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    • v.56 no.5
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    • pp.907-930
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    • 2010
  • Most previous studies on A Gesture Life focused on illuminating the role and significance of Kkutaeh, the Korean comfort woman, whom Hata runs across at a military camp in the Burmese jungle. For instance, Carroll Hamilton argues that the return of Kkutaeh as a traumatic subject disrupts Hata's nationalist narrative, causing the protagonist's eventual failure at national enfranchisement. However, this paper focuses on Hata's relationship with Bedley Run, the sleepy suburban white town, in which the protagonist settles down right after immigration to the US. The racial/racist nature of Bedley Run has not received due critical attention, although a few studies on the novel saw Hata's gestures as a survival tactic deployed against the hostile environment of his new host society. This paper, resorting to Pierre Macherey's thesis on symptomatic reading, exposes what Hata, the narrator/protagonist, hides from his readers concerning his status in his muchbeloved town; and it also explores the subversive significance of Hata's ethnic memories. The aim of this study is, after all, to map both the subversive possibilities and the limitations of Hata's immigrant narrative as a bildungsroman.

Analysis of Spatio-temporal Pattern of Urban Crime and Its Influencing Factors (GIS와 공간통계기법을 이용한 시·공간적 도시범죄 패턴 및 범죄발생 영향요인 분석)

  • Jeong, Kyeong-Seok;Moon, Tae-Heon;Jeong, Jae-Hee;Heo, Sun-Young
    • Journal of the Korean Association of Geographic Information Studies
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    • v.12 no.1
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    • pp.12-25
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    • 2009
  • The aim of this study is to analyze the periodical and spatial characteristics of urban crime and to find out the factors that affect the crime occurrence. For these, crime data of Masan City was examined and crime occurrence pattern is ploted on a map using crime density and criminal hotspot analysis. The spatial relationship of crime occurrence and factors affecting crime were also investigated using ESDA (Exploratory Spatial Data Analysis) and SAR (Spatial Auto-Regression) model. As a result, it was found that crimes had strong tendency of happening during a certain period of time and with spatial contiguity. Spatial contiguity of crimes was made clear through the spatial autocorrelation analysis on 5 major crimes. Especially, robbery revealed the highest spatial autocorrelation. However as a autocorrelation model, Spatial Error Model(SEM) had statistically the highest goodness of fit. Moreover, the model proved that old age population ratio, property tax, wholesale-retail shop number, and retail & wholesale number were statistically significant that affect crime occurrence of 5 most major crimes and theft crime. However population density affected negatively on assault crime. Lastly, the findings of this study are expected to provide meaningful ideas to make our cities safer with U-City strategies and services.

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Improvement of Atmospheric PM2.5 Levels and Related Premature Deaths in Seoul, Korea (서울시 대기 중 PM2.5 농도 개선과 조기사망 감소 효과)

  • Bae, Hyun-Joo;Shin, JI-Young;Park, Chan-Koo;Jung, Kweon;Lee, Sang-Yol;Kim, Min-Young;Park, Jeong-Im
    • Journal of Korean Society for Atmospheric Environment
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    • v.26 no.1
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    • pp.10-20
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    • 2010
  • In recent studies, $PM_{2.5}$ has been reported to be more harmful to human health than $PM_{10}$ because it penetrates more deeply into the lung. We estimated $PM_{2.5}$ related health benefits in Seoul from implementing the World Health Organization (WHO)'s guidelines (annual average $10{\mu}g/m^3$, 24-hour average $25{\mu}g/m^3$) and U.S. Environmental Protection Agency (EPA)'s National Ambient Air Quality Standard (annual average $15{\mu}g/m^3$, 24-hour average $35{\mu}g/m^3$). U.S. EPA's Environmental Benefits Mapping and Analysis Program was utilized for the analysis. It was predicted that the attainment of the WHO annual guideline and U.S. EPA's annual standard, relative to the concentration in 2006, would result in reduction of 2,333~2,895 premature deaths and 1,703~2,121 premature deaths, respectively. If the WHO and EPA's daily standard for $PM_{2.5}$ are attained, 1,211~1,394 and 1,012~1,165 premature deaths could be avoided, respectively. Sensitivity analyses indicated that the estimates were robust regardless of air quality simulation methods for attaining the $PM_{2.5}$ goals. This study provides a quantitative approach to evaluate health risks from air pollution as well as to assess the potential health benefits of improving atmospheric $PM_{2.5}$ concentration. Even considering the intrinsic limitations and uncertainties of the analysis, it is an important information to rationalize the enforcement of $PM_{2.5}$ management policies and measures in Seoul, Korea.