• Title/Summary/Keyword: L-regular function

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RELATIONS OF L-REGULAR FUNCTIONS ON QUATERNIONS IN CLIFFORD ANALYSIS

  • KANG, HAN UL;SHON, KWANG HO
    • East Asian mathematical journal
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    • v.31 no.5
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    • pp.667-675
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    • 2015
  • In this paper, we provide some properties of several left regular functions in Clifford analysis. We find the corresponding Cauchy-Riemann system and conjugate harmonic functions of the harmonic functions, for each left regular function in the sense of several complex variables. And we investigate certain properties of generalized quaternions in Clifford analysis.

REGULAR BRANCHED COVERING SPACES AND CHAOTIC MAPS ON THE RIEMANN SPHERE

  • Lee, Joo-Sung
    • Communications of the Korean Mathematical Society
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    • v.19 no.3
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    • pp.507-517
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    • 2004
  • Let (2,2,2,2) be ramification indices for the Riemann sphere. It is well known that the regular branched covering map corresponding to this, is the Weierstrass P function. Lattes [7] gives a rational function R(z)= ${\frac{z^4+{\frac{1}{2}}g2^{z}^2+{\frac{1}{16}}g{\frac{2}{2}}$ which is chaotic on ${\bar{C}}$ and is induced by the Weierstrass P function and the linear map L(z) = 2z on complex plane C. It is also known that there exist regular branched covering maps from $T^2$ onto ${\bar{C}}$ if and only if the ramification indices are (2,2,2,2), (2,4,4), (2,3,6) and (3,3,3), by the Riemann-Hurwitz formula. In this paper we will construct regular branched covering maps corresponding to the ramification indices (2,4,4), (2,3,6) and (3,3,3), as well as chaotic maps induced by these regular branched covering maps.

PERIODIC WAVELET ON INTERVAL BY REGULAR WAVELETS

  • Shim, Hong-Tae;Park, Chin-Hong
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.621-632
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    • 2004
  • Multiresoluton analysis(MRA) of space of square integrable functions defined on whole entire line has been well-known. But for many applications, MRA on bounded interval was required and studied. In this paper we give a MRA for $L^2$(0, 1) by means of periodic wavelets based on regular MRA for $L^2$(R) and give the convergence of partial sums.

Effect of long term treatment of aqueous extract of Enicostemma littorale in Type 2 diabetic patients

  • Mansuri, Mustakim M;Goyal, Bhoomika R;Upadhyay, Umesh M;Sheth, Jayesh;Goyal, Ramesh K
    • Advances in Traditional Medicine
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    • v.9 no.1
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    • pp.39-48
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    • 2009
  • We have evaluated the effect of long term treatment of Enicostemma littorale (E. littorale) in type 2 diabetic patients taking pills of aqueous extract of E. littorale regularly as a complimentary medicine for at least 9 months. The effects of E. littorale on glycemic control, lipid profile, cardiac function and DNA damage in these patients were compared with those who had not been regular in taking E. littorale but regular in taking other conventional anti-diabetics. Our data suggest that, E. littorale can maintain normal blood glucose, serum insulin, serum triglycerides levels of type 2 diabetic patients if taken regularly. E. littorale also improves insulin sensitivity, and normalize disturbed lipogram and elevated creatinine levels, thereby produces beneficial effect in preventing cardiovascular complications and may preserve the kidney function. The finding that E. littorale also prevents DNA damage suggest a long term effect in diabetic patients. E. littorale thus can be considered as safe supplementary therapy for a long term and effective management of type 2 diabetic patients.

Factors Influencing Depressive Symptoms in Patients with Osteoarthritis (골관절염 환자의 우울 정도와 관련요인)

  • Kim, Jung-Suk;Kim, Chun-Ja
    • Journal of muscle and joint health
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    • v.27 no.2
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    • pp.199-209
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    • 2020
  • Purpose: This study examined the prevalence of depressive symptoms and psycho-behavioral factors affecting depressive symptoms in patients with osteoarthritis. Methods: This cross-sectional study enrolled a convenience sample of 157 patients with osteoarthritis in a university hospital between March and December 2018. Depressive symptoms, osteoarthritis function, therapeutic self-efficacy, and health-related quality of life (QoL) were measured using structured questionnaires. Logistic regression analysis was used to investigate factors affecting depressive symptoms. Results: The mean age of participants was 73.3 years with 76.4% of them being women. The prevalence of depressive symptoms was 38.5%. Patients with depressive symptoms were more likely to be currently smoking and had an occupation and worse flexibility function associated with osteoarthritis. Whereas they were less likely to engage in regular physical activity and had a low level of therapeutic self-efficacy and perceived health-related QoL. Conclusion: Therapeutic self-efficacy to regular physical activity, including flexibility function may be primary factors influencing depressive symptoms in patients with osteoarthritis. With the management of osteoarthritis, psycho-behavioral factors should be considered in developing interventions to prevent depressive symptoms in patients with osteoarthritis.

The Characteristics related to Pulmonary Rehabilitation in Patients with Chronic Obstructive Pulmonary Disease: A Cross-sectional Study, Data from the Korea National Health and Nutrition Examination Survey 2015-2019.

  • Kyeongbong Lee
    • Physical Therapy Rehabilitation Science
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    • v.12 no.3
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    • pp.229-239
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    • 2023
  • Objective: Patients with chronic obstructive pulmonary disease (COPD) may experience reduced physical activity and quality of life (QoL) due to decreased pulmonary function. The purpose of this study was to investigate the level of pulmonary function, physical activity, and QoL of COPD patients. Design: Cross-sectional observational study. Methods: This study examined the published data of the Korea National Health and Nutrition Examination Survey in 2015-2019. Among 39,759 subjects who participated for 5 years, data from 151 patients diagnosed with COPD were analyzed separately. For the pulmonary function, the results of forced vital capacity (FVC), forced expiratory volume in 1 second (FEV1), FEV6, forced expiratory flow 25-75%, and peak expiratory flow were observed. Physical activity was identified as frequency and duration. For the QoL, EQ-5D-3L evaluation results were examined, and the frequency and index of the Korean version were investigated. Results: In pulmonary function, all variables were found to be lower than age and weighted matched normal values. COPD patients showed to perform very low levels of high/medium physical activity and sitting time was confirmed to be more than 8 hours a day. In QoL, it was found that the highest reporting rate of some problems was the "pain and discomfort" and "mobility". Conclusions: It was found that COPD patients showed that the prevalence of circulatory disease was relatively high, lowered pulmonary function, and QoL. These can be improved through regular physical activity, and it is thought that this can be achieved through optimization of pulmonary rehabilitation.

Impact of irregular marital cohabitation on quality of life and sexual dysfunction in infertile men from upper Egypt

  • Taha, Emad Abdelrhim;Sabry, Mohamed;Abdelrahman, Islam Fathy Soliman;Elktatny, Hossam;Hosny, Ahmed
    • Clinical and Experimental Reproductive Medicine
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    • v.47 no.1
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    • pp.77-82
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    • 2020
  • Objective: Irregular patterns of marital cohabitation are a common problem in upper Egypt due to employment conditions. The objective of this study was to investigate the effect of irregular marital cohabitation on the quality of life and sexual function of infertile men. Methods: In total, 208 infertile men were included and divided into two groups. The first group included 134 infertile men with an irregular pattern of marital cohabitation and the second group included 74 infertile men with a regular pattern of marital cohabitation. All subjects were assessed through a clinical evaluation, conventional semen analysis, the fertility quality of life (FertiQoL) questionnaire, the International Index of Erectile Function (IIEF-5) score, and the premature ejaculation diagnostic tool (PMEDT). Results: The two groups were compared in terms of conventional semen parameters, FertiQoL, IIEF-5 score, and PMEDT. Infertile men with an irregular pattern of marital cohabitation had significantly lower subscale and total FertiQoL and IIEF-5 scores. Additionally, they had significantly higher PMEDT scores. Erectile dysfunction and premature ejaculation were more common in them than in infertile men with a regular pattern of marital cohabitation. Conclusion: Irregular patterns of marital cohabitation had an adverse effect on quality of life and sexual function in infertile men.

Effects of L-Arginine Supplementation and Regular Exercise in D-Galactose Induced Aging Rat Aorta: Study on Inflammatory Factors, Vasodilation Regulatory Factors (노화유도 쥐의 대동맥에서 L-arginine 투여와 규칙적인 운동의 효과: 염증인자와 혈관이완조절 인자의 변화)

  • Lee, Jin;Kwak, Yi-Sub;Yoo, Young-June;Park, Sok
    • Journal of Life Science
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    • v.21 no.10
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    • pp.1415-1421
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    • 2011
  • The purpose of this study was to identify the effects of an L-arginine supplementation and regular exercise training on NF-${\kappa}B$, TNF-${\alpha}$, iNOS, Cav-1, eNOS and Ang II in the aortas of D-galactose (D-gal) induced aging rats. The male Strague-Dawley rats were treated with a D-galactose aging inducing agent; the D-gal injection (50 mg/kg) was given intraperitoneally for 12 wk. Experimental groups were divided into five groups: (1) Young control group (Y-Con, n=8), (2) Aging control group (A-Con, n=8), (3) Aging exercise group (A-Ex, n=8), (4) Aging exercise group with L-arginine supplementation group (A-Ex+A, n=8), and (5) Aging with L-arginine supplementation group (A-A, n=8). The exercise consisted of running on a treadmill for 60 min/day at 20 m/min for 6 day/wk, at 0% gradient for 12 wk. The L-arginine supplementation was given orally at a dose of 150 mg/kg/day for 12 wk. The findings of this study were as follows: 1. NF-${\kappa}B$, TNF-${\alpha}$, iNOS, Cav-1 and Ang II proteins in the aortas of D-gal induced rats were significantly increased, however, L-arginine supplementation and regular exercise resulted in a significant inhibition in the expression of NF-${\kappa}B$, TNF-${\alpha}$, iNOS, Cav-1 and Ang II proteins. 2. eNOS protein in the aortas of D-gal induced rats was significantly decreased, however, L-arginine supplementation and regular exercise resulted in a significant increase in the expression of eNOS proteins. In conclusion, the findings of the present study reveal that L-arginine supplementation alone or regular exercise alone or in combination with L-arginine supplementation for 12 wk increases anti-inflammatory effects by decreasing NF-${\kappa}B$, TNF-${\alpha}$, and iNOS protein expressions within the aortic tissue. In addition, L-arginine supplementation alone or regular exercise alone or in combination with L-arginine supplementation may prevent endothelial function by up-regulation of eNOS protein in the aortas of D-gal induced aging rats.

SINGULAR AND DUAL SINGULAR FUNCTIONS FOR PARTIAL DIFFERENTIAL EQUATION WITH AN INPUT FUNCTION IN H1(Ω)

  • Woo, Gyungsoo;Kim, Seokchan
    • East Asian mathematical journal
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    • v.38 no.5
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    • pp.603-610
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    • 2022
  • In [6, 7] they introduced a new finite element method for accurate numerical solutions of Poisson equations with corner singularities. They consider the Poisson equations with homogeneous boundary conditions, compute the finite element solutions using standard FEM and use the extraction formula to compute the stress intensity factor(s), then they posed new PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor(s), which converges with optimal speed. From the solution they could get an accurate solution just by adding the singular part. They considered a partial differential equation with the input function f ∈ L2(Ω). In this paper we consider a PDE with the input function f ∈ H1(Ω) and find the corresponding singular and dual singular functions. We also induce the corresponding extraction formula which are the basic element for the approach.

Bow hull-form optimization in waves of a 66,000 DWT bulk carrier

  • Yu, Jin-Won;Lee, Cheol-Min;Lee, Inwon;Choi, Jung-Eun
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.9 no.5
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    • pp.499-508
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    • 2017
  • This paper uses optimization techniques to obtain bow hull form of a 66,000 DWT bulk carrier in calm water and in waves. Parametric modification functions of SAC and section shape of DLWL are used for hull form variation. Multi-objective functions are applied to minimize the wave-making resistance in calm water and added resistance in regular head wave of ${\lambda}/L=0.5$. WAVIS version 1.3 is used to obtain wave-making resistance. The modified Fujii and Takahashi's formula is applied to obtain the added resistance in short wave. The PSO algorithm is employed for the optimization technique. The resistance and motion characteristics in calm water and regular and irregular head waves of the three hull forms are compared. It has been shown that the optimal brings 13.2% reduction in the wave-making resistance and 13.8% reduction in the added resistance at ${\lambda}/L=0.5$; and the mean added resistance reduces by 9.5% at sea state 5.