• Title/Summary/Keyword: Bell number

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A NOTE ON DEGENERATE LAH-BELL POLYNOMIALS ARISING FROM DERIVATIVES

  • Piao, Xiangfan;Kim, Yunjae;Kwon, Jongkyum
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.4
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    • pp.733-747
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    • 2021
  • Recently, Kim-Kim introduced Lah-Bell polynomials and numbers, and investigated some properties and identities of these polynomials and numbers. Kim studied Lah-Bell polynomials and numbers of degenerate version. In this paper, we study degenerate Lah-Bell polynomials arising from differential equations. Moreover, we investigate the phenomenon of scattering of the zeros of these polynomials.

The Vibration Bell System Development Using NFC Tag and Smart Phone (NFC Tag와 스마트폰을 이용한 진동벨 시스템 개발)

  • Lim, Jong Bum;Lim, Yang Mi
    • Journal of Korea Multimedia Society
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    • v.18 no.8
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    • pp.968-979
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    • 2015
  • In this paper, we study a vibration bell App which shows waiting sequence numbers by utilizing smartphones to solve an inconveniently long waiting time from ordering to getting foods in restaurants and coffee shops. Unlike existing independently developed hardware and software, the vibration bell App is developed to manage and integrate customer management service, POS service in shops, and group shop management services. The functions of the vibration bell App include two-way communications based on NFC- issuing waiting sequence numbers and electronic coupon, showing event information, and transferring user information. Furthermore, the user's personal information is minimized by recognizing the pre-existing information of the user's smartphone. Replacing the shop's vibration bell system with the vibration bell APP, the shops can reduce the cost of construction and maintenance by up to 1/10, compared to the cost of for existing vibration bell systems. Moreover, the customer's preference and current sales trend can be easily figured out. Thus, it will have a great effect on the future marketing strategies.

Restoration of the bell pavilion of King Song-Dok Bell with a view of its acoustical characteristics (성덕대왕 신종의 음향적 특성을 고려한 종각복원의 고찰)

  • Haan, Chan-Hoon
    • The Journal of the Acoustical Society of Korea
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    • v.37 no.5
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    • pp.378-386
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    • 2018
  • The present paper suggests the original form of the bell pavilion for the King Song-Dok bell which is one of the precious national treasure of Korea. In order to this, many literatures were reviewed including both historical and acoustical references. As the results, the model of the bell pavilion for the King Song-Dok bell is suggested as follows considering acoustical characteristics of the King Song-Dok bell and the traditional Korean bells ; 1) The bell pavilion has the rumbling puddle beneath the bell on the ground floor for resonance of sound 2) Many lumbers are used for columns and beams rather than boards since natural frequencies of the bell are 64 Hz and 168 Hz so that the sound absorption of the low frequency sound may not be occurred. 3) Only some boards may be used for the area between upper and middle molding of lintel in order to prevent of direct sunlight and sea breeze since this type of structure were used for bell pavilion of the same age. 4) Square form with the odd number of 3 or 5 Kans is adopted for bell pavilion considering the weight and the size of the bell which had been used traditionally 5) Finally, half-hipped structure is used for the roof of the bell pavilion which was the predominant form of the age.

Numerical Analysis of Flow and Pollutant Dispersion over 2-D Bell Shaped Hills

  • Jung, Young-Rae;Park, Keun;Park, Warn-Gyu;Park, Ok-Hyun
    • Journal of Mechanical Science and Technology
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    • v.17 no.7
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    • pp.1054-1062
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    • 2003
  • The numerical simulations of flow and pollutant particle dispersion are described for two-dimensional bell shaped hills with various aspect ratios. The Reynolds-averaged incompressible Navier-Stokes equations with low Reynolds number $\kappa$-$\varepsilon$ turbulent model are used to simulate the flowfield. The gradient diffusion equation is used to solve the pollutant dispersion field. The code was validated by comparison of velocity, turbulent kinetic energy, Reynolds shear stress, speed-up ratio, and ground level concentration with experimental and numerical data. Good agreement has been achieved and it has been found that the pollutant dispersion pattern and ground level concentration have been strongly influenced by the hill shape and aspect ratio, as well as the location and height of the source.

Study on the Correlation between Bell's Palsy Severity and Facial Thermography (Bell's palsy의 중증도와 얼굴 체열진단의 상관성에 대한 연구)

  • Sun, Yung Chen;Moon, Byung Soon;Yun, Jong Min
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.28 no.1
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    • pp.89-93
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    • 2014
  • The aim of this study was to investigate that thermal imaging is objective and effective to evaluate the severity of Bell's palsy. We investigated 19 cases of patients in college of Oriental Medicine, Iksan Oriental medical hospital at Wonkwang university who were diagnosed with Bell's palsy. The degree of palsy was evaluated with House-Brackmann grading system(HBGS) before treatment, then the thermal difference of the face was calculated by thermal imaging, and finally the correlation between HBGS and thermal difference was analyzed. The significance correlation was found between HBGS and thermal imaging's thermal difference. According to the images taken from 17 patients' DITI's temperature value and HBGS's palsy grade, they significantly were correlated. As thermal imaging's thermal differences got larger in number, the palsy grade had increased. These results suggest that thermal imaging identified to be a relatively objective examination method for evaluating the severity of Bell's palsy.

Reviewing Recent Research on Facial Synkinesis of Bell's Palsy Sequelae - Pubmed Research - (Bell's palsy 후유증 중 facial synkinesis에 관한 최근 논문 경향 분석 - Pubmed 중심으로 -)

  • Lee, Dong-Jin;HwangBo, Min;Kwon, Kang;Seo, Hyung-Sik
    • The Journal of Korean Medicine Ophthalmology and Otolaryngology and Dermatology
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    • v.25 no.4
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    • pp.1-11
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    • 2012
  • Objective : The purpose of this study is to analyze research trends on facial synkinesis after bell's palsy in order to build stepping stone in the hope of further related study in Korean medicine society. Methods : We searched Pubmed with the title "facial synkinesis" only developed after bell's palsy for the last 10 years and analyzed their impact factors, interventions, types of study, published countries, journals and years. Results : We found 12 papers and interventions included in each studies turned out to be effective and showed meaningful outcomes, but, the number of papers is still inadequate though, constantly published annually. And we were unable to find any studies with oriental treatments. Conclusions : Further attention and studies are needed on this topic in Korean medicine society in order to search appropriate oriental clinical care for the bell's palsy patients suffering facial synkinesis.

A note on T-sum of bell-shaped fuzzy intervals

  • Hong, Dug-Hun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.17 no.6
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    • pp.804-806
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    • 2007
  • The usual arithmetic operations on real numbers can be extended to arithmetical operations on fuzzy intervals by means of Zadeh's extension principle based on a t-norm T. Dombi and Gyorbiro proved that addition is closed if the Dombi t-norm is used with two bell-shaped fuzzy intervals. Recently, Hong [Fuzzy Sets and Systems 158(2007) 739-746] defined a broader class of bell-shaped fuzzy intervals. Then he study t-norms which are consistent with these particular types of fuzzy intervals as applications of a result proved by Mesiar on a strict f-norm based shape preserving additions of LR-fuzzy intervals with unbounded support. In this note, we give a direct proof of the main results of Hong.

T-sum of bell-shaped fuzzy intervals

  • Hong, Dug-Hun
    • 한국데이터정보과학회:학술대회논문집
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    • 2006.11a
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    • pp.81-95
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    • 2006
  • The usual arithmetic operations on real numbers can be extended to arithmetical operations on fuzzy intervals by means of Zadeh's extension principle based on a t-norm T. A t-norm is called consistent with respect to a class of fuzzy intervals for some arithmetic operation if this arithmetic operation is closed for this class. It is important to know which t-norms are consistent with a particular type of fuzzy intervals. Recently Dombi and Gyorbiro proved that addition is closed if the Dombi t-norm is used with two bell-shaped fuzzy intervals. A result proved by Mesiar on a strict t-norm based shape preserving additions of LR-fuzzy intervals with unbounded support is recalled. As applications, we define a broader class of bell-shaped fuzzy intervals. Then we study t-norms which are consistent with these particular types of fuzzy intervals. Dombi and Gyorbiro's results are special cases of the results described in this paper.

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Numerical Analysis of Belled Shaft Foundation in Thick Pusan Clays (대심도 부산점토에 적용된 종저말뚝(Belled Shaft foundation)의 수치해석 연구)

  • Rao, K.G.
    • Proceedings of the Korean Geotechical Society Conference
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    • 2006.03a
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    • pp.530-535
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    • 2006
  • The Pusan clays are soft and thick deposits and in some places, they reach even up to 50-70m. So, the pile foundations are inevitable in almost all cases. But they are significantly expansive when the length of the pile reaches about 70m. In this study, a comprehensive parametric study has been carried out in order to reduce the pile length and number of piles required in turn the cost of the foundation for particular building. A belled shaft pile has been optimized for a typical soil profile using the PLAXIS (FEM code). These results have shown a new direction of the pile foundation in Pusan, Korea. The results including the variation of contact pressures at the bottom of the bell, optimization of the angle of the bell and height of the bell in terms of the diameter of the shaft. And also, the design curves have been generated so that they can be directly used for design of belled shaft foundations. However, the structural strength criterion is being checked in the concerned laboratory.

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