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Maximal Hypersurfaces of (m + 2)-Dimensional Lorentzian Space Forms

  • Dursun, Ugur
    • Kyungpook Mathematical Journal
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    • v.48 no.1
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    • pp.109-121
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    • 2008
  • We determine maximal space-like hypersurfaces which are the images of subbundles of the normal bundle of m-dimensional totally geodesic space-like submanifolds of an (m + 2)-dimensional Lorentzian space form $\tilde{M}_1^{m+2}$(c) under the normal exponential map. Then we construct examples of maximal space-like hypersurfaces of $\tilde{M}_1^{m+2}$(c).

CHEN INEQUALITIES ON LIGHTLIKE HYPERSURFACES OF A LORENTZIAN MANIFOLD WITH SEMI-SYMMETRIC NON-METRIC CONNECTION

  • Poyraz, Nergiz (Onen)
    • Honam Mathematical Journal
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    • v.44 no.3
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    • pp.339-359
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    • 2022
  • In this paper, we investigate k-Ricci curvature and k-scalar curvature on lightlike hypersurfaces of a real space form ${\tilde{M}}$(c) of constant sectional curvature c, endowed with semi-symmetric non-metric connection. Using this curvatures, we establish some inequalities for screen homothetic lightlike hypersurface of a real space form ${\tilde{M}}$(c) of constant sectional curvature c, endowed with semi-symmetric non-metric connection. Using these inequalities, we obtain some characterizations for such hypersurfaces. Considering the equality case, we obtain some results.

CERTAIN ASPECTS OF ${\mathcal{I}}$-LACUNARY ARITHMETIC STATISTICAL CONVERGENCE

  • MEHMET GURDAL
    • Journal of Applied and Pure Mathematics
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    • v.5 no.3_4
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    • pp.265-279
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    • 2023
  • In this paper, we firstly presented the definitions of arithmetic ${\mathcal{I}}$-statistically convergence, ${\mathcal{I}}$-lacunary arithmetic statistically convergence, strongly ${\mathcal{I}}$-lacunary arithmetic convergence, ${\mathcal{I}}$-Cesàro arithmetic summable and strongly ${\mathcal{I}}$-Cesàro arithmetic summable using weighted density via Orlicz function ${\tilde{\phi}}$. Then, we proved some theorems associated with these concepts, and we examined the relationship between them. Finally, we establish some sequential properties of ${\mathcal{I}}$-lacunary arithmetic statistical continuity.

TWO EXAMPLES OF LEFSCHETZ FIXED POINT FORMULA WITH RESPECT TO SOME BOUNDARY CONDITIONS

  • Yoonweon Lee
    • Journal of the Chungcheong Mathematical Society
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    • v.37 no.1
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    • pp.1-17
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    • 2024
  • The boundary conditions $\tilde{P}_0$ and $\tilde{P}_1$ were introduced in [5] by using the Hodge decomposition on the de Rham complex. In [6] the Atiyah-Bott-Lefschetz type fixed point formulas were proved on a compact Riemannian manifold with boundary for some special type of smooth functions by using these two boundary conditions. In this paper we slightly extend the result of [6] and give two examples showing these fixed point theorems.

Research on Image of Clothes Applying the Surface Composition and Colors of a Traditional Jokakbo (조각보의 면구성과 색채를 응용한 의복의 이미지 연구)

  • Choi, Yoon-Hye;Eun, Young-Ja
    • Fashion & Textile Research Journal
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    • v.7 no.2
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    • pp.135-142
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    • 2005
  • Through the formative analysis of the traditional jokakbo, we have composed surface composition that was made by a perfect square, triangle, a weather vane type, vertical type, cint$\tilde{a}$mani type, and a mixed rectangular. And we have composed that was made by vivid tone, pale tone, and so on, and finally analyzed image, preference rate of them. First, the cause of composition for the image of stimulant was composed by the cause of simplicity characteristics, interesting characteristics, rigid-flexibility characteristics, and modern characteristics. Secondly, the image of clothes was revealed as a simple image of perfect square, a feminine image of cint$\tilde{a}$mani type, a modern image of mixed rectangular in the case of large pattern. And in the case of small pattern, perfect square was revealed as a simple image, cint$\tilde{a}$mani type was revealed as a feminine image, triangle with achromatic colored weather vane type and pale tone was revealed as an interesting image, achromatic colored and pale toned a weather vane type, vivid toned vertical type was revealed as a modern image. Lastly, it revealed that the preference rate against clothes is related with the cause of simplicity characteristics, interesting characteristics, and rigid-flexibility characteristics in the case of large patterns, and especially in the case of large patterns and small patterns, the clothes of pale tone are more preferred. And achromatic colored mixed rectangular and chromatic colored cint$\tilde{a}$mani type are more preferred by the large patterns, and chromatic colored and pale toned weather vane type is more preferred by the small patterns.

Effects of Climate-induced Variation in the Catch Distribution and Biological Characteristics of Skipjack Tuna Katsuwonus pelamis in the Western and Central Pacific Ocean (기후변화가 중서부태평양 가다랑어(Katsuwonus pelamis)의 어획분포와 생물학적 특성에 미친 영향)

  • Kim, Eunjung;Moon, Daeyeon;Kim, Suam
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.48 no.4
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    • pp.489-497
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    • 2015
  • To reveal the spatial and temporal variability in the distribution, growth, and maturation of skipjack tuna Katsuwonus pelamis in the western tropical Pacific, we compared two El $Ni{\tilde{n}}o$-Southern Oscillation (ENSO) signals and the sea surface temperature (SST) in the main fishing area with fishery and biological data. An index of skipjack tuna distribution was calculated using Korean purse seine fishery data from 1985 to 2003. Biological data for skipjack tuna were collected monthly from Korean catches during the 1994-2003 period. The catch was more closely related to the SST in the main fishing area than to the ENSO signals. However, cross-correlated function analysis showed delayed interactions between abiotic and biotic factors. The El $Ni{\tilde{n}}o$ events preceded the eastward movement of the fishing center by 2-3 months. El $Ni{\tilde{n}}o$ had a positive effect on the skipjack tuna catch, and the change in the Southern Oscillation Index (SOI) preceded the catch fluctuation by ca. 5-7 months. In addition, negative El $Ni{\tilde{n}}o$ effects on gonad maturation and the mean length of skipjack tuna were detected with time lags of 12 and 7 months, respectively. The length frequency indicated that the regime-specific growth pattern at each discrete period seemed to be related to the ENSO.

Relationship of South China Sea summer monsoon with ENSO (남중국해 여름몬순과 ENSO와의 가능한 상관관계)

  • Choi, Jae-Won;Park, Ki-Jun;Kim, Jeoung-Yun;Kim, Baek-Jo
    • Journal of Environmental Science International
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    • v.24 no.6
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    • pp.827-840
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    • 2015
  • This study analyzed a correlation between South China Sea summer (June to September) monsoon (SCSSM) and the ENSO for the last 32 years (1979 to 2010). There was a correlation that the higher (lower) the SST in the $Ni{\tilde{n}}o-3.4$ region was, the weaker (stronger) the SCSSM intensity was. To identify the reason for this correlation, a difference of means between 8 El $Ni{\tilde{n}}o$ years and 8 La $Ni{\tilde{n}}a$ years (June to September). The analysis on the difference between two groups with respect to the 850 hPa stream flows showed that there were anomalous huge cyclones in the subtropical Pacific in the both hemispheres so that cold and dry anomalous northerlies were strengthened in the South China Sea relatively while anomalous westerlies were strengthened from the Maritime Continent to the off the coast of Chile. The analysis on the difference between two groups with respect to the 200 hPa stream flows showed that the opposite anomalous pressure system pattern to that in the 850 hPa stream flows were shown. In the subtropical Pacific of the both hemispheres, anomalous anticyclones existed so that anomalous easterlies were strengthened from the Maritime Continent to the equatorial central Pacific. Considering the anomalous atmospheric circulations in the upper and lower layers of the troposphere, upward airflows from the equatorial central and eastern Pacific were downward in the South China Sea and the Maritime Continent, which was a structure of anomalous atmospheric circulations. This means that the Walker Circulation was weakened and it was a typical structure of atmospheric circulations revealed in El $Ni{\tilde{n}}o$ years.

Analysis on the Variability of Korean Summer Rainfall Associated with the Tropical Low-frequency Oscillation (적도 저주파 진동과 관련된 한반도 여름철 강수의 변동성 연구)

  • Moon, Ja-Yeon;Choi, Youngeun;Park, Changyong
    • Journal of the Korean Geographical Society
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    • v.48 no.2
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    • pp.184-203
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    • 2013
  • This study analyzes the variability of Korean summer rainfall associated with the tropical low-frequency oscillation using long-term observation data. From the EOF analysis, the first mode showed opposite phase between the South and the North Korea with the regime shift in rainfall variability since the mid-1990s. The summer precipitation over South Korea tends to increase in southern part during strong El Ni$\tilde{n}$o where the warm sea surface temperature extends to far eastern tropical Pacific. In weak La Ni$\tilde{n}$a, the increased precipitation directly influences from the western tropical Pacific to the mid-latitude. In June, the rainfall over South Korea is positively correlated with the Indian Summer Monsoon while in July, it is negatively correlated with the Western North Pacific Summer Monsoon. In August, highly negative correlation between the rainfall over South Korea and the Indian Summer Monsoon is found.

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Conventional and digital impressions for complete-arch implant-supported fixed prostheses: time, implant quantity effect and patient satisfaction

  • Pereira, Ana Larisse Carneiro;Medeiros, Vitoria Ramos;Campos, Maria de Fatima Trindade Pinto;Medeiros, Annie Karoline Bezerra de;Yilmaz, Burak;Carreiro, Adriana da Fonte Porto
    • The Journal of Advanced Prosthodontics
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    • v.14 no.4
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    • pp.212-222
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    • 2022
  • PURPOSE. To evaluate and compare the effect of impression type (conventional vs digital) and the number of implants on the time from the impressions to the generation of working casts of mandibular implant-supported fixed completearch frameworks, as well as on patient satisfaction. MATERIALS AND METHODS. 17 participants, 3 or 4 implants, received 2 types of digital impression methods (DI) and conventional (CI). In DI, two techniques were performed: scanning with the scan bodies (SC) and scanning with a device attached to the scan bodies (SD) (BR 10 2019 026265 6). In CI, the making of a solid index (SI) and open-tray impression (OT) were used. The outcomes were used to evaluate the time and the participant satisfaction with conventional and digital impressions. The time was evaluated through the timing of the time obtained in the workflow in the conventional and digital impression. The effect of the number of implants on time was also assessed. Satisfaction was assessed through a questionnaire based on seven. The Wilcoxon test used to identify the statistical difference between the groups in terms of time. The Mann-Whitney test was used to analyze the relationship between the time and the number of implants. Fisher's test was used to assess the patient satisfaction (P<.05). RESULTS. The time with DI was shorter than with CI (DI, $\tilde{x}=02:58$; CI, $\tilde{x}=31:48$) (P<.0001). The arches rehabilitated with 3 implants required shorter digital impression time (3: $\tilde{x}=05:36$; 4: $\tilde{x}=09:16$) (P<.0001). Regarding satisfaction, the DI was more comfortable and pain-free than the CI (P<.005). CONCLUSION. Digital impressions required shorter chair time and had higher patient acceptance than conventional impressions.

Possible Relationship between NAO and Western North Pacific Typhoon Genesis Frequency (북대서양 진동과 북서태평양 태풍발생빈도와의 관계)

  • Choi, Ki-Seon;Park, Sangwook;Chang, Ki-Ho;Lee, Jong-Ho
    • Journal of the Korean earth science society
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    • v.34 no.3
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    • pp.224-234
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    • 2013
  • This study examined a strong positive correlation between the North Atlantic Oscillation (NAO) index during June and the total tropical cyclone (TC) genesis frequency in the western North Pacific during July and August. To investigate a possible cause for this relationship, the mean difference between the highest positive NAO years and the lowest negative NAO years was analyzed by dividing into when the El Ni$\tilde{n}$o and La Ni$\tilde{n}$a years were included and when the El Ni$\tilde{n}$o and La Ni$\tilde{n}$a years were not included. When the El Ni$\tilde{n}$o and La Ni$\tilde{n}$a years were included, for the positive NAO years, the TCs mostly occurred in the northwestern region of tropical and subtropical western Pacific, and showed a pattern that migrate from the sea northeast of the Philippines, pass the East China Sea, and move toward the mid-latitudes of East Asia. In contrast, for the negative NAO years, the TCs mostly occurred in the southeastern region of tropical and subtropical western Pacific, and showed a pattern that migrate westward from the sea southeast of the Philippines, pass the South China Sea, and move toward the southern coast of China and Indochinese peninsula. These two different TC migration patterns affect the recurving location of TC, and for the positive NAO years, the recurving of TC was averagely found to take place in the further northeast. In addition, the migration patterns also affect the TC intensity, and the TCs of positive NAO years had stronger intensity than the TCs of negative NAO years as sufficient energy can be absorbed from the ocean while moving north in the mid-latitudes of East Asia. The TCs of negative NAO years showed weak intensity as they get weaken or disappear shortly while landing on the southern coast of China and the Indochinese peninsula. On the other hand, the above result of analysis is also similarly observed when the El Ni$\tilde{n}$o and La Ni$\tilde{n}$a years were not included.