• Title/Summary/Keyword: small functions

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Large amplitude free torsional vibration analysis of size-dependent circular nanobars using elliptic functions

  • Nazemnezhad, Reza;Rabiei, Mohaddese;Shafa'at, Pouyan;Eshaghi, Mehdi
    • Structural Engineering and Mechanics
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    • v.77 no.4
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    • pp.535-547
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    • 2021
  • This paper concerns with free torsional vibration analysis of size dependent circular nanobars with von kármán type nonlinearity. Although review of the literature suggests several studies employing nonlocal elasticity theory to investigate linear torsional behavior, linear/nonlinear transverse vibration and buckling of the nanoscale structures, so far, no study on the nonlinear torsional behavior of the nanobars, considering the size effect, has been reported. This study employs nonlocal elasticity theory along with a variational approach to derive nonlinear equation of motion of the nanobar. Then, the nonlinear equation is solved using the elliptic functions to extract the natural frequencies of the structure under fixed-fixed and fixed-free end conditions. Finally, the natural frequencies of the nanobar under different nanobar lengths, diameters, nonlocal parameters, and amplitudes of vibration are reported to illustrate the effect of these parameters on the vibration characteristics of the nanobars. In addition, the phase plane diagrams of the nanobar for various cases are reported.

Vibrant Traditional Markets in Small Residential Neighborhoods; - A Case Study of their Urban-Spatial Characteristics in Gwanak-gu District, Seoul - (활성화된 근린 소규모 전통시장의 도시·공간 특성 - 서울특별시 관악구 사례를 중심으로 -)

  • Park, Hana;Park, So-Hyun
    • Journal of the Architectural Institute of Korea Planning & Design
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    • v.33 no.12
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    • pp.73-83
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    • 2017
  • Due to the changes in the contemporary society, small-scale traditional markets have declined and lost their functions as the center of neighborhood commercial and cultural affairs. While most traditional markets are deteriorating, there exist rare cases of neighborhood small-scale traditional markets that continuously maintain their vitality and popularity. This paper examines urban spatial characteristics of those markets. As for the cases, this paper inventoried eighteen such markets in Gwanak-gu, Seoul. The research methods include literature reviews, on-site investigation of total 18 such markets, and participant observations. The findings of this paper are as follows: There are distinctive differences in the urban-spatial characteristics of physical environmental factors between the revitalized markets and declining markets. In terms of neighborhood and commercial environment, the franchised super-markets are not necessarily in competition with small-scale traditional markets. The former often has symbiotic relationship the latter, if the small scale traditional markets are strategically located in between residential areas and subway stations, providing active pedestrian networks. There are many outdoor display stands in the revitalized markets, while the declining markets rarely have them. The market improvement projects such as transforming the open space into arcade space, hardly have effects on revitalization of the small-scale traditional markets.

The Study on the Energy and Fluid Metabolism and the Pathology and Symptomatology of Taeeumin based on The Discourse on Viscera and Bowels of Donguisusebowon (『동의수세보원(東醫壽世保元)』 「장부론(臟腑論)」에 근거한 기액대사(氣液代謝)와 태음인(太陰人) 병리병증(病理病證) 고찰(考察))

  • Lee, Jun-Hee;Lee, Eui-Ju;Koh, Byung-Hee
    • Journal of Sasang Constitutional Medicine
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    • v.24 no.4
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    • pp.1-16
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    • 2012
  • Objectives : We aimed to analyze the meanings of the energy and fluid metabolism in the Discourse on Viscera and Bowels of Donguisusebowon, and to find the clues for the explanation of the pathology and symptomatology of Taeeumin. Methods : The Discourse on Viscera and Bowels of Donguisusebowon was reviewed and examined for relevant information on the energy and fluid metabolism from the structural and the functional point of view respectively. And, based on the derived meanings of the energy and fluid metabolism, the pathology and symptomatology of Taeeumin were analyzed. Results and Conclusions : 1. The meanings of the energy and fluid metabolism can be explained by the different attributes of the energy and fluid produced from the esophagus and the small intestine, and the different function of exhaling-dispersing and inhaling-concentrating in the different tract of circulation such as Lung affiliation (esophagus, skin, ear and lung) and Liver affiliation (small intestine, flesh, nose and liver). 2. The Exterior disease of Taeeumin starts with the weakness of exhaling-dispersing function at the skin, and leads to the dysfunction of the esophagus and the lung sequently. The dysfunction of the lung aggravates that of the skin and the esophagus. 3. The Interior disease of Taeeumin begins with excess of the inhaling-concentrating functions at the flesh and the small intestine, and leads to the dysfunction of the lung, which induces the dysfunction of exhaling-concentration at the skin and esophagus. And, this disparities between exhaling-dispersing and inhaling-concentrating functions exasperate the problem at the flesh and the small intestine.

Target Identification: A Challenging Step in Forward Chemical Genetics

  • Das, Raj Kumar;Samanta, Animesh;Ghosh, Krishnakanta;Zhai, Duanting;Xu, Wang;Su, Dongdong;Leong, Cheryl;Chang, Young-Tae
    • Interdisciplinary Bio Central
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    • v.3 no.1
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    • pp.3.1-3.16
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    • 2011
  • Investigation of the genetic functions in complex biological systems is a challenging step in recent year. Hence, several valuable and interesting research projects have been developed with novel ideas to find out the unknown functions of genes or proteins. To validate the applicability of their novel ideas, various approaches are built up. To date, the most promising and commonly used approach for discovering the target proteins from biological system using small molecule is well known a forward chemical genetics which is considered to be more convenient than the classical genetics. Although, the forward chemical genetics consists of the three basic components, the target identification is the most challenging step to chemical biology researchers. Hence, the diverse target identification methods have been developed and adopted to disclose the small molecule bound protein. Herein, in this review, we briefly described the first two parts chemical toolbox and screening, and then the target identifications in forward chemical genetics are thoroughly described along with the illustrative real example case study. In the tabular form, the different biological active small molecules which are the successful examples of target identifications are accounted in this research review.

D-channel protocol application for NT2 function with small concentration and it's implementation using general O.S (소규모 집선용 NT2기능에 적합한 D채널 프로토콜 응용 및 이의 범용 O.S에 의한 구현)

  • 김협종;김시원;김재근;조규섭
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.12 no.5
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    • pp.451-465
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    • 1987
  • With the introduction of ISDN network, the D channel protocol has bee defined as a signalling method for ISDN user-network interface. Therefore the NT2(Network Termination 2) which carry out concentration and switching function, must process the D channel related information. This paper describes how the D channel protocoal is applied and implented in a small ISDN subscriber concentrating system that has NT2 functions. The application protocol proposed is addressed taking into consideration the compatibility with ISDN standard facilities, TE(Terminal Equipment) or ET(Exchange Terminator), This protocol has been implementes using a general multitask operating system and it has the features of the minimized information processing and the simpified algorithm which are suitable for a small system. Its application programs are divided into various tasks to facilitate the addition and the modification of function. In this paper, we briefly outline the protocol defined in CCITT and show the application protocol that has fitted in a small concentrating system with NT2 functions. Also we present the experimental results and implementation method of this protocol.

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Extracting Wisconsin Breast Cancer Prediction Fuzzy Rules Using Neural Network with Weighted Fuzzy Membership Functions (가중 퍼지 소속함수 기반 신경망을 이용한 Wisconsin Breast Cancer 예측 퍼지규칙의 추출)

  • Lim Joon Shik
    • The KIPS Transactions:PartB
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    • v.11B no.6
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    • pp.717-722
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    • 2004
  • This paper presents fuzzy rules to predict diagnosis of Wisconsin breast cancer using neural network with weighted fuzzy membership functions (NNWFM). NNWFM is capable of self-adapting weighted membership functions to enhance accuracy in prediction from the given clinical training data. n set of small, medium, and large weighted triangular membership functions in a hyperbox are used for representing n set of featured input. The membership functions are randomly distributed and weighted initially, and then their positions and weights are adjusted during learning. After learning, prediction rules are extracted directly from the enhanced bounded sums of n set of weighted fuzzy membership functions. Two number of prediction rules extracted from NNWFM outperforms to the current published results in number of rules and accuracy with 99.41%.

LIPSCHITZ REGULARITY OF M-HARMONIC FUNCTIONS

  • Youssfi, E.H.
    • Journal of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.959-971
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    • 1997
  • In the paper we introduce Hausdorff measures which are suitable or the study of Lipschitz regularity of M-harmonic function in the unit ball B in $C^n$. For an M-harmonic function h which satisfies certain integrability conditions, we show that there is an open set $\Omega$, whose Hausdorff content is arbitrarily small, such that h is Lipschitz smooth on $B \backslash \Omega$.

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Convergence and the Riemann hypothesis

  • Lee, Jung-Seob
    • Communications of the Korean Mathematical Society
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    • v.11 no.1
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    • pp.57-62
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    • 1996
  • For $1 < p \leq 2$ it is shown that a certain sequence of functions converges to -1 in $L^{p-\varepsilon}(0, 1)$ for any small $\varepsilon > 0$ if and only if the Riemann zeta function satisfies $\zeta(s) \neq 0$ for $\sigma = Re s > 1/p$.

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