• 제목/요약/키워드: r-Whitney numbers

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A q-ANALOGUE OF QI FORMULA FOR r-DOWLING NUMBERS

  • Cillar, Joy Antonette D.;Corcino, Roberto B.
    • 대한수학회논문집
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    • 제35권1호
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    • pp.21-41
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    • 2020
  • In this paper, we establish an explicit formula for r-Dowling numbers in terms of r-Whitney Lah and r-Whitney numbers of the second kind. This is a generalization of the Qi formula for Bell numbers in terms of Lah and Stirling numbers of the second kind. Moreover, we define the q, r-Dowling numbers, q, r-Whitney Lah numbers and q, r-Whitney numbers of the first kind and obtain several fundamental properties of these numbers such as orthogonality and inverse relations, recurrence relations, and generating functions. Hence, we derive an analogous Qi formula for q, r-Dowling numbers expressed in terms of q, r-Whitney Lah numbers and q, r-Whitney numbers of the second kind.

A PROPERTY OF COFUNCTORS SF(X,A)

  • So, Kwang Ho
    • Kyungpook Mathematical Journal
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    • 제13권2호
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    • pp.235-240
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    • 1973
  • A k-dimensional vector bundle is a bundle ${\xi}=(E,P,B,F^k)$ with fibre $F^k$ satisfying the local triviality, where F is the field of real numbers R or complex numbers C ([1], [2] and [3]). Let $Vect_k(X)$ be the set consisting of all isomorphism classes of k-dimensional vector bundles over the topological space X. Then $Vect_F(X)=\{Vect_k(X)\}_{k=0,1,{\cdots}}$ is a semigroup with Whitney sum (${\S}1$). For a pair (X, A) of topological spaces, a difference isomorphism over (X, A) is a vector bundle morphism ([2], [3]) ${\alpha}:{\xi}_0{\rightarrow}{\xi}_1$ such that the restriction ${\alpha}:{\xi}_0{\mid}A{\longrightarrow}{\xi}_1{\mid}A$ is an isomorphism. Let $S_k(X,A)$ be the set of all difference isomorphism classes over (X, A) of k-dimensional vector bundles over X with fibre $F^k$. Then $S_F(X,A)=\{S_k(X,A)\}_{k=0,1,{\cdots}}$, is a semigroup with Whitney Sum (${\S}2$). In this paper, we shall prove a relation between $Vect_F(X)$ and $S_F(X,A)$ under some conditions (Theorem 2, which is the main theorem of this paper). We shall use the following theorem in the paper. THEOREM 1. Let ${\xi}=(E,P,B)$ be a locally trivial bundle with fibre F, where (B, A) is a relative CW-complex. Then all cross sections S of ${\xi}{\mid}A$ prolong to a cross section $S^*$ of ${\xi}$ under either of the following hypothesis: (H1) The space F is (m-1)-connected for each $m{\leq}dim$ B. (H2) There is a relative CW-complex (Y, X) such that $B=Y{\times}I$ and $A=(X{\times}I)$ ${\cap}(Y{\times}O)$, where I=[0, 1]. (For proof see p.21 [2]).

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콜타르가 함유된 페인트 사용 조선업 근로자에서 요중 1-hydroxypyrene glucuronide와 대사효소 유전자 다형성에 관한 연구 (Urinary 1-hydroxypyrene glucuronide and genetic polymorphisms of xenobiotic metabolism enzymes in shipbuilding workers using coal tar paint)

  • 이경호;이정미;최인미;김재용;임형준;이상윤;윤기정;고상백;최홍렬
    • 한국환경성돌연변이발암원학회지
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    • 제20권1호
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    • pp.34-39
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    • 2000
  • Although shipbuilding workers were exposed to a variety of genotoxic compounds including polycyclic aromatic hydrocarbons (PAHs), limited number of studies were conducted to evaluate the biomarkers related to PAH exposure in painting workers in shipbuilding industry. One hundred and thirty three workers including 73 employees using coal tar paints were recruited from a shipbuilding company located in South Korea. Urinary 1-hydroxypyrene glucuronide (1-OHPG), as internal dose of PAH exposure, were measured by synchronous fluorescence spectroscopy after immunoaffinity purification using monoclonal antibody 8E11. Glutathione S-transferase (GST)M1 and GSTT1 genotypes were assessed by multiplex PCR. Information on demographic characteristics, smoking gabit, diet, job title, use of personal protective equipments were collected by self-administered questionnaire. Urinary 1-OHPG were higher in workers using coal tar paints than in workers using general paints, however, the difference was not statistically significant (p=0.20, Mann-Whitney U test). Urinary 1-OHPG levels in smokers were higher than in non-smokers (p<0.05 by Mann-Whitney U test) and there was a significant increase in urinary 1-OHPG levels with the numbers of cigarettes consumed per day (Spearman's correlation coefficient = 0.28, p=0.02). Genetic polymorphisms of GSTM1 and GSTT1 did not influence the level of 1-OHPG in study subjects. Multiple regression analysis show that smoking is the only significant predictor for lon-transformed 1-OHPG (overall model R2=0.1). These results suggest that workers using coal tar paints were exposed to significant amount of PAHs and individual difference in xenobiotic metabolism might affect the levels of internal dose of PAHs.

호중구를 매개하는 백서의 급성 폐손상의 병리가전에 있어 기도내로 투여한 히스타민의 역활에 관하여 (The study for the roles of intratracheally administered histamine in the neutrophil-mediated acute lung injury in rats:)

  • 고윤석;;;김미정;이인철;임채만;이상도;김동순;김원동
    • Tuberculosis and Respiratory Diseases
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    • 제43권3호
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    • pp.308-322
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    • 1996
  • 연구배경 : 히스타민은 폐혈관주위의 비만 세포내에 풍부하게 분포하니 아직까지 급성 폐손상의 병리기전에 있어 히스타민의 역할에 대해서는 규명되어 있지 않았다. 히스타민은 IL-1 이나 IL-8과 같은 cytokine 사이에 상호작용이 있고 혈관내피 표면상에 P-selectin의 표현을 증가시키는 것으로 알려져 있다. 이에 저자들은 건강한 백서의 기도내로 침윤이 증가되며 히스타민과 TNF를 병용 투여서는 TNF 단독 투여사보다 폐장내 호중구의 침윤이 증폭되고 폐손상의 정도가 증가 될 것으로 가정하였다. 방법 : 몸무게 270-370gm인 Sprague-Dawley 쥐를 사용하여 정상군은 생리식염수 0.5mL을, 치료군은 체증 1Kg 당 $1.1{\mu}g$, $11{\mu}g$$55{\mu}g$의 히스타민을 단독 혹은 TNF 500ng과 함께 병용하여 기도로 투여하거나 히스타민 $55{\mu}g$과 IL-1 50ng을 병용투여 한 뒤 5시간 뒤 에 폐조직 내 myeloperoxidase(MPO) 활성도와 폐포액내 호중구 수 및 쥐의 IL-8으로 고려되는 cytokine-induced neutrophil chemoattractant(CINC)의 활성도 그리고 폐혈관내 알부민의 폐조직내로의 누출을 측정하였다. 또한 TNF와 히스타민을 병용투여한 뒤 TNF와 히스타민 병용치료군에 항히스타민제를 경정맥내로 주입한 뒤 동일한 방법으로 각 지표들을 측정하여, 관찰된 상승효과가 차단되는지를 보았다. 곁과 1) TNF치료군은 정상군에 비하여 폐장내 MPO 활성도, 기관폐포액내 홍중구수 및 폐혈관의 누출이 더 높게 나타났으며(각 p<0.001), 히스타면 투여군은 11 및 $55{\mu}g/kg$ 투여군에서 정상군에 비해 MPO 활성도만이 높게 나타났다(p<0.05) 2) 폐장내 MPO 활성도는 기도내로 TNF와 병용투여한 히스타민 $1.1{\mu}g$군, $11{\mu}g$군 및 $55{\mu}g$ 군 모두에서 정상군에 비해 증가되어 나타났으며(각 p<0.001) 히스타민 $11{\mu}g/kg$ 병합투여군에서는 TNF 단독치료군에 비해서도 높게 나타났다(p=0.0251). 기관폐포액내 호중구의 수는 히스타민 1.1, 11 및 $55{\mu}g/kg$군 모두에서 정상군(p<0.05)에 비해 증가되어 나타났으며 $1.1{\mu}g/kg$군은 TNF 단독치료군에 비해서도 높았다(p=0.0367). 급성 폐혈관 히스타민 $1.1{\mu}g$군, $11{\mu}g$$55{\mu}g$군에서 정상군에 비해 증가되었으나(p<0.001), TNF 치료군과는 차이가 없었다. 3) TNF와 히 스타민 1.1, 11 및 $55{\mu}g/kg$이 병용투여된 군 모두에서 정상군에 비해 폐포 세척액내 CINC 활성도가 유의하게 증가되었다(각각 p-값<0.01 및< 0.05) 4) $H_1$ 수용체차단제인 mepyramine과 $H_2$ 수용체차단제인 ranitidine 세척액내 증폭되었던 호중구 수 및 CINC의 활성도를 감소시켰다(각각 p-값>0.05) 5) IL-1과 병용 투여한 히스타민은 정상군에 비해 MPO 활성도 및 급성 폐혈관 누출이 증가되었으나(p<0.05), IL-1 치료군과는 차이가 없었다. 결론 : 본연구의 결과로서 백서의 기도내로 국소적으로 히스타민을 투여시 5시간 이내에 폐조직내 호중구의 침윤이 증가되고 TNF로 유도된 폐조직내 MPO 활성도 및 기관폐포액 내 호중구 수의 증가가 증폭되나 폐혈관내 알부민의 폐장내 누출의 증폭작용이 없고 IL-1으로 유도된 폐손상에도 급성 폐손상의 증폭작용이 관찰되지 않으므로 TNF나 IL-1으로 유도되는 급성 폐손상에 히스타민 병용 투여에 의한 폐손상의 증폭작용은 없을 것으로 사료되었다.

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계획된 간호 중재가 미숙아 어머니의 스트레스, 모성 역할 긴장과 역할 수행에 미치는 영향 (Effect of Planned Nursing Intervention on the Stress, the Maternal Role Strain, and the Maternal Role Performance of Mothers of Premature Infants)

  • 정경화
    • Child Health Nursing Research
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    • 제5권1호
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    • pp.70-83
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    • 1999
  • The birth of a premature infant is distressing for its parents. The parents of a premature infant experience stress according to the infant's physical appearance and behavior, the environment of the neonatal intensive care unit (NICU) , and the alteration in the parental role. Especially, a mother of a premature infant feels distressed even after the discharge of the infant : therefore, she has difficulties in maternal role performance. The main purpose of this study is to identify the effects of the planned infant care information program in order to lower the stress level for mothers of premature infants caused by the birth and hospitalization in NICU of premature infants, to reduce the maternal role strain, and to promote the maternal role performance after the infants' discharge. This study employed two methods of research at the same time : quasi -experimental non-equivalent pre and post test to compare : non-equivalent post test to compare. The total number of subjects was 19 who were assigned to the research program : 12 mothers of premature infants at the NICU at the Ch university hospital and 7 at the NICU at the Y general hospital located in Chounju city. The data were collected for 79 days from August 18 to November 5, 1998. The questionnaire method was applied for the data collection, and the measures used in this study were Parental Stressor Scale : NICU(Miles, 1993), the Maternal Role Strain Measures ( Hobbs, 1968 ; Steffensmeier, 1982) , and Self Confidence Scale (Pharis, 1978). Research procedure is as follows : after preliminary examination, the experimental subjects, the mothers of premature infants at the Nl CU at Ch university hospital were provided with slide films and information developed by the researcher based on existing documents and data. It took two 60-minute sessions a week for two weeks, and the mothers' stress level was measured using the same instrument twice one week and two week after the infants' hospitalization. The stress level of the contrast subjects, the mothers at Y general hospital was measured during the same period. The experimental subjects were provided with booklets on matters that require attention after the infants' discharge and on developmental project, and they were educated to play the maternal role in person for 2-3 hours a week : breast-feeding, burping a baby, and changing diapers. One week after the infants' discharge, the maternal role strain and the maternal role performance were examined in two groups of the subjects. The analysis of collected data was done using descriptive statistics including real numbers, percentages, averages, and standard deviations. Mann-Whitney test ; x² test ; Repeated Measures Analysis of Variance ; ANCOVA Spearman's rho correlation coefficients. The results on this study were as follows. (1) The examination of the same quality showed that there were no differences in the general and obstetrical characters between the two groups. However, in terms of the characters of premature infants. just right after their birth, the infants at the contrast group weighed more than those at the experimental group(U=16.5, p=.02), and the former was in mother's womb longer than the latter(U=15.5, p=.02). (2) The stress level of the mothers provided with the plannned nursing intervention program became lower as time passed compared to the others'(F=16.61, p=.00) Even when the influence of weight at birth and the length of gestation was removed among the premature infants' characters, the mothers' stress levels made a statistical difference 2 weeks after the infants' hospitalization depending on treatment (F=8.00, p=.01) (3) The maternal role strain of the mothers provided with the planned nursing intervention program was lower than the others'(U=2.0, p=.00). Even when the influence of weight at birth and the length of gestation was removed among the premature infants' characters, the maternal role strain levels made a statistical difference 2 weeks after the infants' hospitalization, depending on treatment(F=14.72, p=.00). (4) The maternal role performance level of the mothers provided with the planned nursing program was higher than the others'(U=.0, p=.00). Even when the influence of weight at birth and the length of gestation was removed among the premature infants' characters, the mothers' stress levels made a statistical difference 2 weeks after the infants' hospitalization, depending on treatment(F=8.00, p=.01). (5) The correlation between a mother's stress level 2 weeks after her infant's hospitalization, the maternal role strain and the maternal role performance were compared : the stress and the maternal role strain were statistically irrelevant to each other(r=.33, p=.12) : the stress was found to be in inverse proportion to the maternal role performance(r=-.53, p=.02). The maternal role strain was in inverse proportion to the maternal role performance as well(r=-.50, p=.00). In conclusion, for the mothers provided with the planned nursing intervention program, their stress level was getting lower as time passed during the infants' hospitalization, their maternal role strain reduced when they took care of their infants after their discharge, and their maternal role performance level was high compared to the other mothers. Besides, the lower the stress level of mothers of premature infants was during the infants' hospitalization, the higher the maternal role performance after their discharge was. The lower maternal role strain was, the higher the maternal role performance was as well. These results of the study suggested that the nursing intervention program for the mothers of premature infants developed by the researcher would be effectively applied to nursing practice, and it would be a foundation for the development of this kind of program.

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