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LOWER BOUNDS OF THE NUMBER OF JUMP OPTIMAL LINEAR EXTENSIONS : PRODUCTS OF SOME POSETS

  • Jung, Hyung-Chan
    • Bulletin of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.171-177
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    • 1995
  • Let P be a finite poset and let $\mid$P$\mid$ be the number of vertices in pp. A subposet of P is a subset of P with the induced order. A chain C in P is a subposet of P which is a linear order. The length of the chain C is $\mid$C$\mid$ - 1. A linear extension of a poset P is a linear order $L = x_1, x_2, \ldots, x_n$ of the elements of P such that $x_i < x_j$ is P implies i < j. Let L(P) be the set of all linear extensions of pp. E. Szpilrajn [5] showed that L(P) is not empty.

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Occurrence and Distribution of Cellular Slime Molds in Mt. Nam (남산에서 세포성 점균의 출현과 분포)

  • 강경미;홍영빈;이재봉;장남기
    • The Korean Journal of Ecology
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    • v.21 no.5_3
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    • pp.687-694
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    • 1998
  • In this study, the occurrence and distribution of dictyostelid cellular slime molds was investigted from soils of typical forests in Mt. Nam and the effect of soil environmental factor on cellular slime molds was investigated. The fourteen species including two undescribed species were isolated as follows: Dictyostelium brefeldianum, Polysphondylium pallidum, P. violaceum, P. pseudo-candidum in Quercus mongolica-Sorbus alnifolia forests, D. purpureum, D. mucoroides var. stoloniferum, D. dimigraformum, D. brefeldiamum, P. pallidum, P. tenuissimum, P. violoceum, P. candidum, P. pseudo-candidum in Pinus densiflora forests, D. polycephahum, D. capitatum, d. brefeldianun, P. candidum in Robinia pseudo-acacia forests, D. purpureum, D. aureostipes var, aureostipes, D. polycephalum in Quercus acutissima forests, D. minutum, D. implicatum. in the site disturbed by human. The dominant species were P. pallidum, D. brefeldiamum, P. pseudo-candidum and D. dimigraformum were the undescribed species in Korea. Environmental factors such as soil pH, water content, organic content, total nitrogen and total phosphorus made a little effect on total species number, the number of clones.

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Body Image, Self Esteem and Quality of Life in Grown-up Congenital Heart Patients (성인 선천성 심장질환자의 신체상, 자아존중감 및 삶의 질에 관한 연구)

  • Kim, Yu-Jeong;Kim, Keum-Soon
    • The Korean Journal of Rehabilitation Nursing
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    • v.7 no.2
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    • pp.127-139
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    • 2004
  • Purpose: This study was to investigate the degree of body image, self esteem and quality of life, to identify general and disease of characteristics on influencing this factors with the intention of providing basal data for developing nursing intervention to promote body image, self esteem and quality of life. Method: Subjects of this study were 91 grown-up congenital heart patients over 18 years in 2 tertiary hospitals. The data on body image, self esteem and quality of life were collected through questionnaire from March to April 2004. The data were analyzed by descriptive statistics, t-test, Pearson's correlation, ANOVA and tukey test using SAS for Windows 8.1 program. Result: 1) The mean scores of body image, self esteem and quality of life were 63.01, 25.29 and 496.79. 2) Body image was correlated with age(p=.0239), educational level(p=.0182), diagnosis(p=.0066), number of operation(p=.0148), cyanosis(p<.0001), complication(p=.0096) and NYHA level(p=.0378). 3) Self esteem was correlated with education level(p=.0026), economic level(p=.0240), number of operation(p=.0113) and cyanosis (p=.0006). 4) Quality of life was correlated with age(p=.0432) and diagnosis(p=.0020), number of operation (p=.0063), duration of last operation(p=.0225), cyanosis(p<.0001), complication(p=.0090) and NYHA level(p<.0001). 5) There was significantly positive relationship between body image, self esteem and quality of life. Subjects with more positive body image had higher self esteem(r=.7897, p<.05) and subjects with higher self esteem had higher quality of life(r=.6091, p<.05).

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Relationship between Nursing Organizational Climate and Job Satisfaction of Nurses in general hospitals (병원 간호조직풍토와 간호사 직무만족도의 관계)

  • Choi, Jae-Young
    • Journal of Korean Academy of Nursing Administration
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    • v.6 no.2
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    • pp.227-243
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    • 2000
  • The purpose of this study was to identify the relationship between nursing organizational climate and job satisfaction of nurses in general hospitals and also the factors which had influences in the nursing organizational climate and job satisfaction of nurses. Data were collected from 200 nursing managers and 800 nurses with structured questionnaires at 11 general hospitals in Taegu and Kyungbuk-area, from June 1 to June 30, 1999. Data were analyed with SPSS 7.5 using program such as t-test, ANOVA and stepwise multiple regression. The results were as follows: 1) In the nursing organizational climate there were significant differences by age(F=9.246, p=.000), religion(f=5.658, p=.001), educational level(F=4.660, p=.010), position(F=27.016, p=.000), and the total length of service(F=7.274, p=.000). Also there were significant differences by subsidiary school(F=11.224, p=.000), the number of beds(F=9.893, p=.000), the number of nurses(F=6.365, p=.000), and kind of medical agency(F=5.251, p=.000) in the hospitals. 2) In the nurses' job satisfaction there were significant differences by age(f=11.528, p=.000), religion(F=3.003, p=.000), position(F=22.485, p=.000), career the department of the present service(F=5.157, p=.000), total career of service(F=9.243, p=.000), and salary(F=5.507, p=.000). Also there were significant differences by religious background(F=4.779, p=.009), subsidiary school(F=7.039, p=.000), the number of beds(F=7.039, p=.000), and kind of medical agency(F=2.778, p=.006) in the hospitals 3) There was significant correlation between nursing organizational climate and job satisfaction of nurses(r=.686). 4) The nursing organizational climate was explained 21.8% by salary 9.5%, position 7.4%, religious background of hospital 4.1%, and subsidiary school of hospital 0.8%. 5) The nurses' job satisfaction was explained 70.9% by nursing organizational climate 46.7%, salary 21.9%, kind of medical agency 1.4%, position 0.3%, religious background of hospital 0.3%, religion 0.3%.

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Effects of Yongdamsagan-tang on the Progression of the Estradiol Valerate-induced Polycystic Ovaries and on the Conception in Rats (용담사간탕(龍膽瀉肝湯)이 Estradiol Valerate로 유발된 흰쥐의 다낭성 난소 발달과 수태에 미치는 영향)

  • Lee, In-Jae;Lee, Dong-Nyung;Seo, Il-Bock;Kim, Hyung-Jun
    • The Journal of Korean Obstetrics and Gynecology
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    • v.24 no.3
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    • pp.48-72
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    • 2011
  • Objectives: This study was designed to investigate the effects of Yongdamsagantang on the polycystic ovary(PCO) induced by estradiol valerate(EV) in rats. Methods: After administrating Yongdamsagan-tang to PCO induced rats, we measured the weight of body, ovaries, adrenal glands, and uterus of rats. The observation through naked eye and histopathological observation of ovaries were evaluated. Also, the number of follicle and corpora lutea and content of androstenedione(ADD) and total estrogen were evaluated. The expressions of nerve growth factor(NGF) and corticotropin releasing factor(CRF) were analyzed by immunohistochemistry. The breeding rate and number of implantation with normal male rats were evaluated. Results: - The weight(mg) of ovaries in YST treated group($73.8{\pm}7.6$) was significantly increased(p<0.001) compared with control group($54.3{\pm}4.5$). - The number of mature follicles in YST treated group($7.3{\pm}2.4$) was significantly increased(p<0.01) compared with control group($3.5{\pm}1.2$). - The number of atretic follicles in YST treated group($9.0{\pm}1.5$) was significantly decreased(p<0.01) compared with control group($13.4{\pm}3.8$). - The number of cystic follicles in YST treated group($3.1{\pm}1.1$) was significantly decreased(p<0.01) compared with control group($6.0{\pm}2.0$). - The number of corpora lutea in YST treated group($3.8{\pm}2.1$) was significantly increased(p<0.001) compared with control group($0.3{\pm}0.7$). - The expression of NGF-immunoreactive cells in the ovarian granulosa cells in YST treated group was lesser observed than control group. - The expression of NGF-immunoreactive cells in the adrenal cortex in YST treated group was lesser observed than control group. - The breeding rate in YST treated group(100 %) was significantly increased (p<0.05) compared with control group(50 %). - The number of implantation in YST treated group($6.4{\pm}4.7$) was significantly increased(p<0.05) compared with control group($1.4{\pm}2.6$). Conclusions: We concluded that Yongdamsagan-tang activates the maturation of follicles, normal ovulation, breeding rate and number of implantation. Therefore, this may be effective for the treatment of anovulation, amenorrhea and sterility of PCOS patients.

Association of Descriptive Menu Names and Number of Correctly Vegetable Names with Factors Regarding Vegetable Intake in Elementary School Children (초등학생의 채소 인지도와 채소 섭취 관련 인자들 간 상관관계 및 학교급식의 설명형 메뉴명이 채소 섭취 의사에 미치는 영향)

  • Kim, Jin-hee;Lee, Hongmie
    • Journal of the Korean Dietetic Association
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    • v.24 no.2
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    • pp.159-168
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    • 2018
  • Children's exposure to various vegetables has been associated with higher preferences and intake of vegetables. Attractive names have been reported to increase children's vegetable intake in school lunches. This study hypothesized that the number of vegetables identified correctly may be used as a measure of exposure to vegetables. The survey was administered to students (n=368) at an elementary school located in Gyeonggi-do to determine the association of number of vegetables identified correctly with factors regarding vegetable intakes and effects of descriptive menu names on consumption intentions in school lunches. Students were asked to identify the correct names for nine vegetables and rate their desire to eat six vegetable dishes labeled with general names and two different descriptive names. Descriptive menu names did not consistently increase subjects' desire to eat vegetables compared to general menu labels. Children who ate two vegetable dishes and more per meal tended to identify the names of more vegetables than those who ate less, without reaching statistical significance (P=0.057). Moreover, 5th graders who answered that they ate more than two vegetable dishes each meal had significantly higher scores in identifying vegetable names than those who did rarely (P<0.05). There was no significant association between the number of correctly identified vegetable names and children's vegetable preferences and frequency of being served vegetable dishes. Mother's vegetable preference showed a significant positive association with vegetable preferences of children (r=0.147, P<0.01) and fathers (r=0.340, P<0.01) as well as the number of correctly identified vegetables by children (r=0.183, P<0.01). The results of this study cannot support the advantage of descriptive menu labels over general menu labels. However, it suggests that the number of correctly identified vegetable names could serve as a measure of children's exposure to vegetables associated with factors regarding vegetable intake.

Effect of Pressure on Solids Flow Characteristics in Recycle System of a Circulating Fluidized Bed (순환유동층 재순환부 내 고체흐름 특성에 대한 시스템 압력의 영향)

  • Kim, Sung Won;Kim, Sang Done
    • Korean Chemical Engineering Research
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    • v.48 no.2
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    • pp.198-204
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    • 2010
  • Solids flow characteristics have been determined in a pressurized solids recycle systems of silica sand particles for the application in a pressurized CFB(PCFB). The solids recycle system is composed of a downcomer(0.10 m i.d. 2.25 m high) and a loop-seal(0.10 m i.d.). The silica sand($d_p=240{\mu}m$, ${\rho}_s=2582kg/m^3$) particles were transported at room temperature and system pressure($P_{sys}$) up to 0.71 MPa using air. Solids mass flux($G_s$) increases with increasing system pressure at constant aeration rate. Pressure gradient, solids velocity and actual gas velocity increase with increasing $P_{sys}$ at constant aeration rate. The Pressure drop number($\Phi$) on pressure gradient in downcomer has been correlated with Transportation number(Tr). Pressure drop across the loop-seal increases with increasing of $G_s$ irrespective of variation of $P_{sys}$. The obtained $G_s$ and Transportation number(Tr) have been correlated with the experimental variables.

An Efficient Solution Procedure for $(P_{1},P_2)$ ($(P_{1},P_2)$-PLP 의 해법에 관한 연구)

  • 손기형
    • Journal of the Korean Operations Research and Management Science Society
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    • v.17 no.1
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    • pp.17-30
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    • 1992
  • This paper concerns with (p$_{1}$, p$_{2}$)-Plant Location problem in which entire set of candidate sites for facility locations is divided by two overlapping subsets, each of which with its own number of facilities to be established. We propose an algorithm which attempts to solve the Lagrangean dual of (p$_{1}$, p$_{2}$)-PLP by dividing sub-problem into twop-Plant Location Problems and solving them based on the convexity of the Lagrangean dual problem with respect to the number of facilities to be established. In doing so, Orthogonal Move procedure is proposed to provide easy-to-obtain lower bound to the Lagrangean Dual of (p$_{1}$, p$_{2}$)-PLP. Computational experience is reported.

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ON THE GREATEST COMMON DIVISOR OF BINOMIAL COEFFICIENTS

  • Sunben Chiu;Pingzhi Yuan;Tao Zhou
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.4
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    • pp.863-872
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    • 2023
  • Let n ⩾ 2 be an integer, we denote the smallest integer b such that gcd {(nk) : b < k < n - b} > 1 as b(n). For any prime p, we denote the highest exponent α such that pα | n as vp(n). In this paper, we partially answer a question asked by Hong in 2016. For a composite number n and a prime number p with p | n, let n = ampm + r, 0 ⩽ r < pm, 0 < am < p. Then we have $$v_p\(\text{gcd}\{\(n\\k\)\;:\;b(n)1\}\)=\{\array{1,&&a_m=1\text{ and }r=b(n),\\0,&&\text{otherwise.}}$$

An approximate method to make Jisuguimundo (지수귀문도를 만드는 근사적 방법)

  • Park, Kyo Sik
    • Journal for History of Mathematics
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    • v.31 no.4
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    • pp.183-196
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    • 2018
  • In this study, we propose an approximate method to make Jisuguimundo with magic number 93 to 109. In this method, for two numbers p, q with a relationship of M = 2p+q, we use eight pairs of two numbers with sum p and five pairs of two numbers with sum q. Such numbers must be between 1 and 30. Instead of determining all positions of thirty numbers, this method shows that Jisuguimundo with magic number 93 to 109 can be made by determining positions of thirteen numbers $a_i$(i = 1, 2, ${\cdots}$, 8), $b_5$, $c_i$(i = 1, 2, 3, 4). Method 1 is used to make Jisuguimundo with magic number 93 to 108, and method 2 is used to make Jisuguimundo with magic number 109.