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GENERALIZED EULER POWER SERIES

  • KIM, MIN-SOO
    • Journal of applied mathematics & informatics
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    • v.38 no.5_6
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    • pp.591-600
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    • 2020
  • This work is a continuation of our investigations for p-adic analogue of the alternating form Dirichlet L-functions $$L_E(s,{\chi})={\sum\limits_{n=1}^{\infty}}{\frac{(-1)^n{\chi}(n)}{n^s}},\;Re(s)>0$$. Let Lp,E(s, t; χ) be the p-adic Euler L-function of two variables. In this paper, for any α ∈ ℂp, |α|p ≤ 1, we give a power series expansion of Lp,E(s, t; χ) in terms of the variable t. From this, we derive a power series expansion of the generalized Euler polynomials with negative index, that is, we prove that $$E_{-n,{\chi}}(t)={\sum\limits_{m=0}^{\infty}}\(\array{-n\\m}\)E_{-(m+n),{\chi}^{t^m}},\;n{\in}{\mathbb{N}}$$, where t ∈ ℂp with |t|p < 1. Some further properties for Lp,E(s, t; χ) has also been shown.

Sexual Knowledge and Attitudes among Middle School Students (중학생의 성 지식과 성 태도)

  • Kim Shin-Jeong;Yang Soon-Ok
    • Child Health Nursing Research
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    • v.10 no.3
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    • pp.350-360
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    • 2004
  • Purpose: To suggest ideas that promote sexual health and useful in planning sex education programs for middle school students. Method: This study surveyed 661 middle school students from three schools in Seoul and Chunchon. Result: The average degree of sexual knowledge was 31.5, while attitude was 32.5. There were statistically significant differences in sexual knowledge in relation to: coeducational environment (t=-5.776, p=.000), grade (F=36.351, p=.000), father's age (t=-2.510, p=.012), mother's age (t=-2.146, p=.032), economical status (F=3.264, p=.039), source of sexual knowledge (F=8.484, p=.000), the degree of interest in the opposite sex (F=16.871, p=.000), sexual discussions with parents (t=3.556, p=.000), sexual discussions with teachers (t=2.847, p=.005), and sex education (t=2.148, p=.032). Likewise, stastically significant differences in sexual attitudes were linked to: coeducational environment (t=-7.646, p=.000), subject's grade (F=32.743, p=.000), parental marriage status (t=2.338, p=.020), mother's age (t=-2.048, p=.041), source of sexual knowledge (F=6.917, p=.000), the degree of interest in the opposite sex (F=15.559, p=.000), sexual discussions with parents (t=3.908, p=.000), and sexual discussions with teachers (t=2.946, p=.003). The students level of sexual knowledge and attitude was significantly correlated (r=.686, p=.000). Conclusion: This study indicates a variety of systematic sexual education programs are needed for middle school student at home and school.

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AN ANALOGUE OF THE HILTON-MILNER THEOREM FOR WEAK COMPOSITIONS

  • Ku, Cheng Yeaw;Wong, Kok Bin
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.1007-1025
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    • 2015
  • Let $\mathbb{N}_0$ be the set of non-negative integers, and let P(n, l) denote the set of all weak compositions of n with l parts, i.e., $P(n,l)=\{(x_1,x_2,{\cdots},x_l){\in}\mathbb{N}^l_0\;:\;x_1+x_2+{\cdots}+x_l=n\}$. For any element $u=(u_1,u_2,{\cdots},u_l){\in}P(n,l)$, denote its ith-coordinate by u(i), i.e., $u(i)=u_i$. A family $A{\subseteq}P(n,l)$ is said to be t-intersecting if ${\mid}\{i:u(i)=v(i)\}{\mid}{\geq}t$ for all $u,v{\epsilon}A$. A family $A{\subseteq}P(n,l)$ is said to be trivially t-intersecting if there is a t-set T of $[l]=\{1,2,{\cdots},l\}$ and elements $y_s{\in}\mathbb{N}_0(s{\in}T)$ such that $A=\{u{\in}P(n,l):u(j)=yj\;for\;all\;j{\in}T\}$. We prove that given any positive integers l, t with $l{\geq}2t+3$, there exists a constant $n_0(l,t)$ depending only on l and t, such that for all $n{\geq}n_0(l,t)$, if $A{\subseteq}P(n,l)$ is non-trivially t-intersecting, then $${\mid}A{\mid}{\leq}(^{n+l-t-l}_{l-t-1})-(^{n-1}_{l-t-1})+t$$. Moreover, equality holds if and only if there is a t-set T of [l] such that $$A=\bigcup_{s{\in}[l]{\backslash}T}\;A_s{\cup}\{q_i:i{\in}T\}$$, where $$A_s=\{u{\in}P(n,l):u(j)=0\;for\;all\;j{\in}T\;and\;u(s)=0\}$$ and $$q_i{\in}P(n,l)\;with\;q_i(j)=0\;fo\;all\;j{\in}[l]{\backslash}\{i\}\;and\;q_i(i)=n$$.

Effects of 36 Weeks of Resistance Training on Body Composition, Fitness and Blood Lipid Profiles in the Obese Elderly (36주간 저항성 운동이 비만노인의 신체구성, 체력 및 혈중 지질에 미치는 영향)

  • So, Wi-Young;Song, Mi-Soon;Cho, Bi-Long;Park, Yeon-Hwan;Lim, Jae-Young;Kim, Seon-Ho;Song, Wook
    • Journal of Korean Public Health Nursing
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    • v.24 no.1
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    • pp.39-48
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    • 2010
  • Purpose: To examine the effects of a 36-week resistance training program on body composition, fitness and blood lipid profiles in the obese elderly. Method: fourteen subjects were assigned into the resistance training group. The 12-16 exercise sessions were performed for 60min with 15-25 repetitions twice per week for 36 weeks. Data were analyzed by paired t-test with SPSS version 12.0 for Windows. Results: Significant changes were evident in weight (t=5.983, p<.001), body mass index (t=5.922, p<.001), % body fat (t=3.480, p=.004), and fat free mass (t=-2.592, p=.022). Concerning exercises, no significance was noted for back scratch (t=-1.814, p=.093), but were for 2-min step (t=-3.075, p=.009), arm curl (t=-2.223, p=.045), chair stand (t=-3.671, p=.003), chair sit and reach (t=-2.508, p=.026), and 8-ft up and go (t=5.545, p<.001). No significant changes were evident in total cholesterol (t=1.189, p=.279), and total glucose (t=0.689, p=.517), while the change in high-density lipoprotein was significant (t=3.535, p=.012). Conclusion: The 36-week resistance training program enhanced body composition and physical fitness, but not blood lipid profiles in obese elderly subjects.

The Effect of Aerobic Exercise Program on Health Status and Physical Fitness in Patients after the Stem Cell Transplantation (유산소 운동이 조혈모세포이식자의 건강상태와 체력에 미치는 효과)

  • Han, Shin-Hi
    • The Korean Journal of Rehabilitation Nursing
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    • v.4 no.1
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    • pp.7-19
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    • 2001
  • The Objectives of this research is to determine the effect of aerobic exercise program on health status and physical fitness in patients after the stem cell transplantation. This research design is one-group pretest-post test design. Sixteen subjects were selected from one university hospital in Seoul for the study, they was carried out aerobic exercise three to five times a week for 12 weeks. The period of data collection was from February to July, 2000. The collected data was analysed by descriptive analysis, paired t-test, content analysis SAS program was used for the statistical analysis. The results are as follows : 1. There was a significant improvement in the Physical functioning, Vitality and Reported change (t=2.39, p=0.03; t=2.35, p=0.03; t=2.58, p=0.02) but no change was observed in the Role physical, General health perception, Bodily pain, Social functioning, Role emotional and Mental health. 2. There was a significant improvement in the physical fitness (higher VO2 max, t=2.43, p=0.02; lower systolic pressure, t=-4.09, p=0.001; lower diastolic pressure, t=-3.43, p=0.002; lower pulse rate, t=-3.43, p=0.004; higher muscle sustaining power, t=2.79, p=0.015; higher muscle power, t=5.18 p=0.000; higher power of beginning, t=5.55, p=0.001; higher the sense of equilibrium, t=3.57, p=0.003; higher Hemoglobin, t=5.92, p=0.000; higher Hematocrit, t=5.38, p=0.000). Therefore, this study will provide a theoretical back ground for patients after stem cell transplantation to understand the importance of physical exercise and maintain physical exercise; and for other researches to refer to the results for exercise protocol of rehabilitation program.

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Effect of Health Promotion Program for Community Elderly (지역사회 거주 노인을 위한 건강증진 프로그램의 효과)

  • Yang, Mi-jeong;Yun, Kyung-soon;Cho, Sook-hee
    • The Journal of Korean Society for School & Community Health Education
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    • v.22 no.2
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    • pp.25-40
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    • 2021
  • Objectives: The purpose of this study was to examine effects of health promotion program based on self-efficacy theory on physiological indicators, self-efficacy, grits, and health promotion behavior in community elderly. Methods: A non-equivalent control group pre-post test design was used. The intervention group received the health promotion program based on self-efficacy theory for 8 weeks from October 8 to November 26, 2020. Results: t-test showed that systolic blood pressure (t=-2.12, p=.040), self-efficacy (t=3.78, p<.001), grit (t=3.75, p<.001) and health promotion behavior (t=2.89, p=.002) were significant differences between the two groups. In other hands BMI (t=-1.26, p=.213), diastolic pressure (t=-1.07, p=.287), total cholesterol (t=-1.67, p=.102), LDL-cholesterol (t=-0.76, p=.451), HDL-cholesterol (t=-0.57, p=.567) and triglyceride (t=-1.76, p=.094) were no significant difference between two groups. Conclusions: The health promotion program based on self-efficacy theory was found to be an effective nursing intervention program in improving physiological indicators, self-efficacy, grit and health promotion behaviors of community elderly.

ON (p, k )-QUASIPOSINORMAL OPERATORS

  • Lee, Mi-Young;Lee, Sang-Hun
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.573-578
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    • 2005
  • For a positive integer k and a positive number 0 < p$\le$1, an operator T is said to be (p, k)-quasiposinormal if $T^{{\ast}k}(c^2(T^{\ast}T)P - (TT^{\ast})^P)T^k {\ge} 0$ for some c > o. In this paper we consider a structure for (p, k)-quasiposinormal.

Physicochemical Properties of Ground Pork with Lotus Leaf Extract during Refrigerated Storage (연잎추출물 첨가가 분쇄돈육의 냉장저장 중 이화학적 품질에 미치는 영향)

  • Lee, Kyung-Soo;Kim, Ju-Nam;Jung, In-Chul
    • Journal of the East Asian Society of Dietary Life
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    • v.23 no.4
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    • pp.477-486
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    • 2013
  • This study was carried out to investigate the effect of lotus leaf extract on the physicochemical characteristics of ground pork stored at $4^{\circ}C$ for 10 days. Four types of ground pork were evaluated: ice water added (T0), 3% lotus leaf extract added (T1), 7% lotus leaf extract added (T2), and 10% lotus leaf extract added (T3). The pH was increased during storage, but decreased after 10 days of storage (p<0.05). The TBARS increased with a longer storage period (p<0.05), and those of T0, T1, T2 and T3 were 0.777, 0.244, 0.185, 0.182 mg MA/kg, respectively, after 10 days of storage. The VBN content of T0 and T1 increased with a longer storage period (p<0.05), but those of T2 and T3 were not significantly changed. In the case of surface color, the $L^*$ increased with a longer storage period, and that of T0 was the highest (p<0.05). The $a^*$ decreased with a longer storage period, and the $b^*$ was the highest after 1 day of storage (p<0.05). In the case of internal color, $L^*$ was not significantly changed, and $a^*$ was decreased with a longer storage period (p<0.05). The $b^*$ increased with a longer storage period (p<0.05). Water holding capacity increased with a longer storage period, and those of T2 and T3 were the highest (p<0.05). Cooking loss decreased with a longer storage period, and those of T0 and T1 were higher than those of T2 and T3 (p<0.05). Hardness and chewiness were not significantly different with a longer storage period, or among any samples.

SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS IN $L^p$ SPACES

  • Ha, Ki-Sik;Shin, Ki-Yeon
    • Communications of the Korean Mathematical Society
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    • v.9 no.2
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    • pp.303-315
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    • 1994
  • Let X be a real Banach space with norm ∥ㆍ∥. Let T > 0, r ≥a be fixed constants. We denote by L/sup p/ the usual L/sup p/( -r, 0; X) with norm ∥ㆍ∥/sub p/ for 1 ≤p < ∞. Our object is to study the existence of solutions of nonlinear functional evolution equations of the type (FDE) x'(t) + A(t)x(t) = G(t, x/sub t/), 0 ≤t ≤T, x/sub 0/ = ø.(omitted)

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The Effects of Live Yeast(Saaccharomyces cerevisiae) Supplementation on the Performance of Laying Hens (활성효모 첨가가 산란계의 생산성에 미치는 영향)

  • 유종석;백인기
    • Korean Journal of Poultry Science
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    • v.17 no.3
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    • pp.179-191
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    • 1990
  • In order to study the effects of supplementation of live yeast(Saccharomyces cerevisiae) on the performance of laying hens, five experiments were conducted. Two experiment were conducted during summer period, one with 37 wk old Dekalb-Delta strain laying birds(Exp. 1) and the other one with 100 wk old molted Nick Chick Brown laying birds(Esp.2) . In each experiment, 240 birds were divided into 12 groups of 20 birds each and randomly distributed. Each of the two experimental diets(Control 71 and 0.05% live yeast supplemented 72) was fed to 6 groups for 4 wks in Exp.1 and 3 wks in Exp.2. Three experiments were conducted during winter period, Exp.2 with 54 wk old Hy-Line strain laying birds, Exp.4 with 52 wk old Hy-Line strain laying birds, and Exp.5 with 36 wk old broiler breeder(Indian River strain). In each experiment, 540 birds were divided into 18 groups of 30 birds each and randomly distributed. Each of the 3 experimental diets(Control:$T_1$0.05% live yeast supplemented:$T_2$ and 0.1% live yeast supplemented : T$_3$) was fed to 9 groups for 6 wks in Exp.3, 9 wks in Exp.4 and 4 wks in Exp.5. In Exp.4, Latin Square design was employed to determine the effects of switching feeds at 3 wk intervals. All hens were housed in cages of commercial farm and experimental diets were made with commercial layer feeds. In Experiment 1, egg production was significantly(P<0.05) higher in $T_2$. Feed intake was significantly (P<higher in 72 at 1st wk but 4 wk average was not significantly different. Feed efficiency was significantly(P<0.01) better in 72 at End wk but 4 wk average was not significantly different. Other parameters, such as weight, soft egg production, cracked egg production and mortality were not significantly different. In Experiment 2, egg production was significantly(P<0.05) higher in $T_2$. Feed efficiency was significantly (P<0.05 and P<0.01) better at End wk and 3rd wk but 3 wk average was not significantly different. Soft egg production was significantly(P<0.05) higher in 72. Other parameters were not significantly different. In Experiment 3, egg productions were significantly(P<0.05) different among treatments : $T_3$ was higher than $T_1$ and $T_2$ was higher than $T_1$. Egg weight of $T_1$ and $T_2$was significantly(P<0.05) heavier than $T_3$. Feed intake of $T_2$ and $T_3$ was significantly(P<0.05) higher than $T_1$ at 6th wk but overall average was not significantly different. Soft egg production were significantly(P<0.01) different among treatments:$T_1$ was higher than $T_3$ was higher than $T_2$. Feed efficiency cracked e99 Production and mortality were not signifcantly different. In Experiment 4, egg production tended to increase as the level of live yeast supplementation increased but they were not statistically different. In Experiment 5, egg production of broiler breeders of $T_3$ was significantly(P<0.01) higher than $T_1$. Feed intake of $T_3$ was significantly(P<0.05) greater than $T_1$ and $T_2$ at 3rd wk but overall average was not significantly different. Fertility and hatchability tended to be higher in the supplemented groups than in the control.

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