• Title/Summary/Keyword: fractional function

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Applications of Diffusion Tensor MRI to Predict Motor Recovery of Stroke Patients in the Chronic Stages

  • Tae, Ki-Sik;Song, Sung-Jae;Kim, Young-Ho
    • Journal of Biomedical Engineering Research
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    • v.29 no.2
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    • pp.114-121
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    • 2008
  • Within 2 to 5 months after stroke, patients recover variable degrees of function, depending on the initial deficit. An impaired hand function is one of the most serious disability in chronic stroke patients. Therefore, to evaluate the extent of motor dysfunction in the hemiplegic hand is important in stroke rehabilitation. In this paper, motor recoveries in 8 chronic stroke patients with Fugl-Meyer (FM) and white matter changes before and after the training program with a designed bilateral symmetrical arm trainer (BSAT) system were examined. The training was performed at 1 hr/day, 5 days/week during 6weeks. In all patients, FM was significantly improved after the 6-week training. Diffusion tensor imaging (DTI) results showed that tractional anisotropy ratio (FAR) and fiber tracking ratio (FTR) in the posterior internal capsule were significantly increased after the training. It seemed that the cortical reorganization was induced by the 6 week training with the BSAT. In all parameters proposed this study, a significant correlation was found between these parameters (FAR and FTR) and motor recoveries. This study demonstrated that DTI technique could be useful in predicting motor recovery in chronic hemiparetic patients.

DeNOx modeling in $N_{2}/O_{2}$ gas by pulsed corona discharge ($N_{2}/O_{2}$ 혼합가스에서 펄스코로나 방전을 이용한 NOx 제거 모델링에 관한 연구)

  • Park, Kwang-Seo;Lee, Hyoung-Sang;Chun, Bae-Hyeock;Shin, Hyun-Ho;Yoon, Woong-Sup;Chun, Kwang-Min
    • 한국연소학회:학술대회논문집
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    • 1999.10a
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    • pp.117-128
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    • 1999
  • The removal of nitrogen oxides(NOx) from $N_{2}/O_{2}$ gas using a pulsed corona discharge was investigated as a function of the reduced electric field(E/N) and the energy density(J/L). A kinetic model was developed to characterize the chemical reactions taking place in a pulsed corona discharge reactor. The model calculates the fractional concentrations of radical species at each pulse-on period and utilizes the radicals to remove NOx for the subsequent pulse-off period. Electron collision reaction data are calculated using ELENDIF program to solve Boltzmann equation for electron energy distribution function, and the subsequent chemical reactions are calculated using CHEMKIN-II program to solve stiff ODE(ordinary differential equation) problems for species concentrations. The corona discharge energy per pulse and the time-space averaged E/N were obtained by fitting the model to experimental data. The model calculation shows good agreement with the experimental data, and predicts the formation of other species such as $NO_{2}$, $O_{3}$ and $N_{2}O$.

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An Accelerated Life Test for Burnout of Tungsten Filament of Incandescent Lamp (텅스텐 백열전구의 필라멘트 단선에 대한 가속수명시험)

  • Kim Jin-Woo;Shin Jae-Chul;Kim Myung-Soo;Lee Jae-Kook
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.7 s.238
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    • pp.921-929
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    • 2005
  • This paper presents an accelerated life test for burnout of tungsten filament of incandescent lamp. From failure analyses of field samples, it is shown that their root causes are local heating or hot spots in the filament caused by tungsten evaporation and wire sag. Finite element analysis is performed to evaluate the effect of vibration and impact for burnout, but any points of stress concentration or structural weakness are not found in the sample. To estimate the burnout life of lamp, an accelerated life test is planned by using quality function deployment and fractional factorial design, where voltage, vibration, and temperature are selected as accelerating variables. We assumed that Weibull lifetime distribution and a generalized linear model of life-stress relationship hold through goodness of fit test and test for common shape parameter of the distribution. Using accelerated life testing software, we estimated the common shape parameter of Weibull distribution, life-stress relationship, and accelerating factor.

Fekete-Szegö Problem for a Generalized Subclass of Analytic Functions

  • Orhan, Halit;Yagmur, Nihat;Caglar, Murat
    • Kyungpook Mathematical Journal
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    • v.53 no.1
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    • pp.13-23
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    • 2013
  • In this present work, the authors obtain Fekete-Szeg$\ddot{o}$ inequality for certain normalized analytic function $f(z)$ defined on the open unit disk for which $$\frac{{\lambda}{\beta}z^3(L(a,c)f(z))^{{\prime}{\prime}{\prime}}+(2{\lambda}{\beta}+{\lambda}-{\beta})z^2(L(a,c)f(z))^{{\prime}{\prime}}+z(L(a,c)f(z))^{{\prime}}}{{\lambda}{\beta}z^2(L(a,c)f(z))^{{\prime}{\prime}}+({\lambda}-{\beta})z(L(a,c)f(z))^{\prime}+(1-{\lambda}+{\beta})(L(a,c)f(z))}\;(0{\leq}{\beta}{\leq}{\lambda}{\leq}1)$$ lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (or convolution) are given. As a special case of this result, Fekete-Szeg$\ddot{o}$ inequality for a class of functions defined through fractional derivatives are obtained.

Korean Red Ginseng attenuates type 2 diabetic cardiovascular dysfunction in Otsuka Long-Evans Tokushima Fatty rats

  • Hossain, Mohammad Amjad;Lee, Dongbin;Kim, Bumseok;Kang, Chang-Won;Kim, Nam Soo;Kim, Jong-Hoon
    • Journal of Ginseng Research
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    • v.44 no.2
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    • pp.308-311
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    • 2020
  • Extracts of ginseng species show antihyperglycemic activity. We evaluated the inhibitory effects of diabetic complications for Korean Red Ginseng (KRG), which is enriched in ginsenosides using Otsuka Long-Evans Tokushima Fatty (OLETF) rats. The animals were divided into one of four groups (n = 6~9): Long-Evans-Tokushima-Otsuka rats (control rats), OLETF rats, rats given 200 mg/kg KRG, and rats given 400 mg/kg KRG. We examined the protective potential of KRG against type 2 diabetic illnesses. The results exhibited that KRG showed significant antihyperglycemic and antioxidative effects in KRG-treated OLETF rats. And, our results proposed the amelioration of cardiac function through normalized ejection fraction, fractional shortening, and vascular reactivity. Furthermore, histopathological abnormalities in the OLETF rats were prevented by KRG treatment.

AN EXTERESION THEOREM FOR THE FOLLAND-STEIN SPACES

  • Kim, Yonne-Mi
    • Communications of the Korean Mathematical Society
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    • v.10 no.1
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    • pp.49-55
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    • 1995
  • This paper is the third of a series in which smoothness properties of function in several variables are discussed. The germ of the whole theory was laid in the works by Folland and Stein [4]. On nilpotent Lie groups, they difined analogues of the classical $L^p$ Sobolev or potential spaces in terms of fractional powers of sub-Laplacian, L and extended several basic theorems from the Euclidean theory of differentaiability to these spaces: interpolation properties, boundedness of singular integrals,..., and imbeding theorems. In this paper we study the analogue to the extension theorem for the Folland-Stein spaces. The analogue to Stein's restriction theorem were studied by M. Mekias [5] and Y.M. Kim [6]. First, we have the space of Bessel potentials on the Heisenberg group introduced by Folland [4].

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FEKETE-SZEGÖ PROBLEM FOR SUBCLASSES OF STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC POINTS

  • Shanmugam, T.N.;Ramachandram, C.;Ravichandran, V.
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.3
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    • pp.589-598
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    • 2006
  • In the present investigation, sharp upper bounds of $|a3-{\mu}a^2_2|$ for functions $f(z)=z+a_2z^2+a_3z^3+...$ belonging to certain subclasses of starlike and convex functions with respect to symmetric points are obtained. Also certain applications of the main results for subclasses of functions defined by convolution with a normalized analytic function are given. In particular, Fekete-Szego inequalities for certain classes of functions defined through fractional derivatives are obtained.

Euclid ASTEROSEISMOLOGY AND KUIPER BELT OBJECTS

  • GOULD, ANDREW;HUBER, DANIEL;STELLO, DENNIS
    • Journal of The Korean Astronomical Society
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    • v.49 no.1
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    • pp.9-18
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    • 2016
  • Euclid, which is primarily a dark-energy/cosmology mission, may have a microlensing component, consisting of perhaps four dedicated one-month campaigns aimed at the Galactic bulge. We show that such a program would yield excellent auxilliary science, including asteroseismology detections for about 100 000 giant stars, and detection of about 1000 Kuiper Belt Objects (KBOs), down to 2-2.5 mag below the observed break in the KBO luminosity function at I ∼ 26. For the 400 KBOs below the break, Euclid will measure accurate orbits, with fractional period errors ≲ 2.5%.

WFIRST ULTRA-PRECISE ASTROMETRY I: KUIPER BELT OBJECTS

  • Gould, Andrew
    • Journal of The Korean Astronomical Society
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    • v.47 no.6
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    • pp.279-291
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    • 2014
  • I show that the WFIRST microlensing survey will enable detection and precision orbit determination of Kuiper Belt Objects (KBOs) down to $H_{vega}=28.2$ over an effective area of ${\sim}17deg^2$. Typical fractional period errors will be ${\sim}1.5%{\times}10^{0.4(H-28.2)}$ with similar errors in other parameters for roughly 5000 KBOs. Binary companions to detected KBOs can be detected to even fainter limits, $H_{vega}=29$, corresponding to R~30.5 and effective diameters D~7 km. For KBOs H~23, binary companions can be found with separations down to 10 mas. This will provide an unprecedented probe of orbital resonance and KBO mass measurements. More than a thousand stellar occultations by KBOs can be combined to determine the mean size as a function of KBO magnitude down to H~25. Current ground-based microlensing surveys can make a significant start on finding and characterizing KBOs using existing and soon-to-be-acquired data.

A Semi-Implicit Method for the Analysis of Two-Dimensional Fluid Flow with Moving Free Surfaces

  • Lee, Woo-Il;Park, Jong-Sun;Kim, Min-Soo;Lee, Joon-Sik
    • Journal of Mechanical Science and Technology
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    • v.16 no.5
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    • pp.720-731
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    • 2002
  • Flow with moving free surfaces is analyzed with an the Eulerian coordinate system. This study proposes a semi-implicit filling algorithm using VOF in which the PLIC (Piecewise Linear Interface Calculation) -type interface reconstruction method and the donor-acceptor-type front advancing scheme are adopted. Also, a new scheme using extrapolation of the stream function is proposed to find the velocity of the node that newly enters the computational domain. The effect of wall boundary conditions on the flow field and temperature field is examined by numerically solving a two-dimensional casting process.