• Title/Summary/Keyword: Periodic B.C

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PERIODICITY ON CANTOR SETS

  • Lee, Joo-Sung
    • 대한수학회논문집
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    • 제13권3호
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    • pp.595-601
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    • 1998
  • In this paper we construct a homeomorphism on a Cantor set which is nearly periodic such that h(a) = b for given a, b $\in$ D$_{p}$. We also give an example which is not almost periodic and we discuss when a homeomorphism on a Cantor set is periodic.c.

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준밀폐형 2상자연순환 회로 내에서의 유동 진동에 관한 실험적 연구 (Experimental Investigation of Flow Oscillations in a Semi-closed Two-phase Natural Circulation Loop)

  • 김종문;이상용
    • 대한기계학회논문집B
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    • 제22권12호
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    • pp.1763-1773
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    • 1998
  • In the present experimental study, the flow behavior in a semi-closed two-phase natural circulation loop was examined. Water was used as the working fluid. Heat flux, heater-inlet subcooling, and flow restrictions at the heater-inlet and at the expansion-tank-line were taken as the controlling parameters Six circulation modes were identified by changing heat flux and inlet subcooling conditions ; single-phase continuous circulation, periodic circulation (A), two-phase continuous circulation, and periodic circulations (B), (C), and (D). Among these, the single-phase and two-phase continuous-circulation modes exhibit no significant oscillations and are considered to be stable. Periodic circulation (A) is characterized by the large amplitude two-phase f10w oscillations with the temporal single-phase circulation between them, while periodic circulation (B) featured by the flow oscillations with continuous boiling inside the heater section. Periodic circulation (C) appears to be the manometric oscillation with continuous boiling. Periodic circulation (D) has the longer period than periodic circulation (B) and a substantial amount of liquid flow back and forth through the expansion-tank-line periodically ; this mode is considered the pressure drop oscillation. Parametric study shows that the increases of the inlet- and expansion-tank-line- restrictions and the decrease of inlet subcooling broaden the range of the stable two-phase(continuous circulation) mode.

중·노년층의 전근증상에 대한 간정격 활용의 증례군 분석 (Case Series Study of Liver-Tonification Acupuncture Treatment for Muscle Cramp of Middle-aged and Elderly)

  • 이득수;이규영;박상신
    • 한방재활의학과학회지
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    • 제30권1호
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    • pp.115-123
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    • 2020
  • Objectives The aim of this study was to investigate the effects of liver-tonification acupuncture (LTA) on periodic muscle cramps (MC). Methods We retrospectively reviewed medical records of 28 patients treated for periodic MC with LTA in a Korean medicine clinic. Patients were treated with (A) LTA alone, (B) LTA and treatments for myofascial meridian, or (C) LTA and treatments for other diseases. We mainly investigated effectiveness of treatments, the number of treatments, the number of relapses, and time to relapse. Results After treatments, periodic MC disappeared in all patients except two in group C. The number of treatments in group C was significantly greater than that of group A (p<0.05). Periodic MC recurred in one patient in each of groups A and C, but symptoms disappeared after re-treatments. Periodic MC did not recur for a median of 7.0, 8.5, and 5.0 weeks in groups A, B, and C, respectively. Conclusions We found some therapeutic effects of LTA treatments for periodic MC in middle-aged and elderly patients.

GLOBAL ASYMPTOTIC STABILITY OF A SECOND ORDER RATIONAL DIFFERENCE EQUATION

  • Abo-Zeid, R.
    • Journal of applied mathematics & informatics
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    • 제28권3_4호
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    • pp.797-804
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    • 2010
  • The aim of this paper is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation $x_{n+1}\;=\;\frac{A+Bx_{n-1}}{C+Dx_n^2}$, n = 0, 1, 2, ... where A, B are nonnegative real numbers and C, D > 0.

EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A CLASS OF p-LAPLACIAN EQUATIONS

  • Kim, Yong-In
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제19권2호
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    • pp.103-109
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    • 2012
  • The existence and uniqueness of T-periodic solutions for the following p-Laplacian equations: $$({\phi}_p(x^{\prime}))^{\prime}+{\alpha}(t)x^{\prime}+g(t,x)=e(t),\;x(0)=x(T),x^{\prime}(0)=x^{\prime}(T)$$ are investigated, where ${\phi}_p(u)={\mid}u{\mid}^{p-2}u$ with $p$ > 1 and ${\alpha}{\in}C^1$, $e{\in}C$ are T-periodic and $g$ is continuous and T-periodic in $t$. By using coincidence degree theory, some existence and uniqueness results are obtained.

Finite strip analysis of multi-span box girder bridges by using non-periodic B-spline interpolation

  • Choi, C.K.;Hong, H.S.
    • Structural Engineering and Mechanics
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    • 제12권3호
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    • pp.313-328
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    • 2001
  • A multi-span bridge has the peak value of resultant girder moment or membrane stress at the interior support. In this paper, the spline finite strip method (FSM) is modified to obtain the more appropriate solution at the interior support where the peak values of solution exist. The modification has been achieved by expressing the shape function with non-periodic B-splines which have multiple knots at the boundary. The modified B-splines have the useful feature for interpolating the curve with sudden change in curvature. Moreover, the modified spline FSM is very efficient in analyzing multi-span box girder bridges, since a bridge can be modeled by an assembly of strips extended along the entire bridge length. Numerical examples of the bridge analysis have been performed to verify the efficiency and accuracy of the new spline FSM.

근로자 건강진단시 간기능 이상자의 정밀검사항목 개선을 위한 조사연구 (A Baseline Study on the Choice of Optimal Screening Test Items among Workers with Abnormal Liver Function Tests on Workers' Periodic Health Examination)

  • 정해관;임현술;김규회
    • Journal of Preventive Medicine and Public Health
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    • 제27권4호
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    • pp.747-761
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    • 1994
  • Workers' periodic health examination is the main tools used to manage the health problems of most workers in Korea. The most common health problem found in workers' periodic health examination is liver disorder. Liver disorder is also one of the most common health problems in general population and one of the leading causes of mortality in adult population. Regulation proposed by government (No. 207, Ministry of Labor, 1992) defines the criteria for selection of workers with the liver dysfunction for further evaluative examination and the examination items used for diagnosis of the workers with liver dysfunction. This study was designed to evaluate the proficiency of each examination items presently defined in Regulation and propose the optimal examination items for detection of the liver disorders found by workers' periodic health examination. Study subjects are 186 workers with abnormal liver function tests in screening examination of workers' periodic health examination. Questionnaire survey including past history of liver disorder, drinking history, height and weight was done. Physical examination by physician, routine test items defined by Regulation (SGOT, SGPT, $\gamma$-GTP, protein, albumin, total and direct bilirubin, alkaline phosphatase, $\alpha$-feto protein, HBsAg and anti-HBs), anti-HCV antibody test and liver ultrasonography were done. Results are as follows; 1. Result of evaluative examination utilizing only the items defined in Regulation was; There were 75 workers with suspected live. disorder(40.3%), 63 with no liver dysfunction (33.9%), 13 with suspected hepatitis B(7.0%), 10 workers with hepatitis B(5.4%), 10 workers with hepatitis B carrier state(5.4%), 10 with alcoholic liver disorders(5.4%), 5 with fatty liver(2.7%). When alternative diagnostic criteria applying additional examination items (drinking history, body mass index, anti-HCV antibody and ultrasonography) diagnosability of liver disorder was increased. When all four items were included, final results were; 23 workers (17.8%) with hepatitis B (10 carriers, 13 suspects and 10 hepatitis B), 10 (5.4%) with hepatitis C(4 carriers, 5 suspects and 1 hepatitis C), 13(7.0%) with alcoholic liver disorder, 45(24.2%) with fatty liver (40 suspects, 5 fatty liver), 410%) with suspected liver disorders and 44 (23.7%) with normal liver. 2. Of examination items defined by Regulation, only SGOT, SGPT, $\gamma$-GTP and HBsAg were significantly different in abnormal rate and mean value, and all other laboratory findings did not showed significant difference between two groups. Drinking history, body mass index and anti-HCV antibody test which are the items that authors included in this study, also showed significant difference between two groups. Utilization of body mass index (BMI) for abnormal liver function group in diagnosis of fatty liver had high specificity (97.6%) but sensitivity (22.3%) was low. Therefore we suggest that SGOT, SGPT, $\gamma$-GTP, HBsAg, alcohol drinking history, BMI and anti-HCV Ab were useful for diagnosis of liver disorders among worker's periodic health examination.

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GLOBAL ASYMPTOTIC STABILITY OF A HIGHER ORDER DIFFERENCE EQUATION

  • Hamza, Alaa E.;Khalaf-Allah, R.
    • 대한수학회보
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    • 제44권3호
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    • pp.439-445
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    • 2007
  • The aim of this work is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation $$x_{n+1}={\frac{Ax_{n-1}}{B+Cx_{n-2}{\iota}x_{n-2k}$$, n = 0, 1, 2,..., where A, B, C are nonnegative real numbers and $\iota$, k are nonnegative in tegers, $\iota{\leq}k$.

ANTI-PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH MULTIPLE DELAYS ON TIME SCALES

  • Shu, Jiangye;Li, Yongkun
    • Journal of applied mathematics & informatics
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    • 제29권1_2호
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    • pp.279-292
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    • 2011
  • In this paper, we consider anti-periodic solutions of the following BAM neural networks with multiple delays on time scales: $$\{{x^\Delta_i(t)=-a_i(t)e_i(x_i(t))+{\sum\limits^m_{j=1}}c_{ji}(t)f_j(y_j(t-{\tau}_{ji}))+I_i(t),\atop y^\Delta_j(t)=-b_j(t)h_j(y_j(t))+{\sum\limits^n_{i=1}}d_{ij}(t)g_i(x_i(t-{\delta}_{ij}))+J_j(t),}\$$ where i = 1, 2, ..., n,j = 1, 2, ..., m. Using some analysis skills and Lyapunov method, some sufficient conditions on the existence and exponential stability of the anti-periodic solution to the above system are established.

A STUDY OF CHINESE ANCIENT COMETARY RECORDS

  • ZHOU HONG NAN;ZHUANG WEIFENG;WANG Yu
    • 천문학회지
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    • 제29권spc1호
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    • pp.443-444
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    • 1996
  • From 146 B.C. to A.D. 1760, 363 sets of cometary observations have been recorded in Chinese Ancient Records of Celestial Phenomena. The positions of all recorded comets, or their paths, on the sky are compared. Taking into account the perturbations of all nine planets and using the numerical method of N-body problem, the orbits of well-recorded comets are calculated. Identification of a periodic comet is presented.

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