• Journal of the Korean Mathematical Society
• /
• v.52 no.4
• /
• pp.751-763
• /
• 2015

Let ${\alpha}$ be a positive integer, and let $p_1$, $p_2$ be two distinct prime numbers with $p_1$ < $p_2$. By using elementary methods, we give two equivalent conditions of all even near-perfect numbers in the form $2^{\alpha}p_1p_2$ and $2^{\alpha}p_1^2p_2$, and obtain a lot of new near-perfect numbers which involve some special kinds of prime number pairs. One kind is exactly the new Mersenne conjecture's prime number pair. Another kind has the form $p_1=2^{{\alpha}+1}-1$ and $p_2={\frac{p^2_1+p_1+1}{3}}$, where the former is a Mersenne prime and the latter's behavior is very much like a Fermat number.

• Journal of Korean Public Health Nursing
• /
• v.11 no.2
• /
• pp.73-82
• /
• 1997

This study was done to analyze the health behavior of 5.166 elementary students from a urban city. They were students in grades 4. 5 and 6 attending five elementary schools which were selected from a city close to the capital city of Seoul. Health behaviors were measured using a questionnaire which was developed by WHO and was used by European countries. The data was managed and analysed using DBASE and SAS computer programs. The results of this study were as follows: 1. Eating behavior $\cdot$ Having Breakfast : Male students who were older had a higher number reporting having no breakfast(p< .05) $\cdot$ Taking Supplements : Older students had a higher number reporting taking nutrition supplements(p<.05) $\cdot$ Drinking milk: Female students had a lower number reporting drinking milk (p<.05). $\cdot$ Taking snacks : Female students who were older had a higher number reporting taking snacks(p< .05). $\cdot$ Drinking boiled water Male students had a lower number reporting drinking boiled water(p<.05). 2. Using seat belt Female students who were older had a lower number reporting using seat belt(p<.05). 3. Smoking : Male students who were younger had a higher number reporting experience with smoking(p <.05). 4. Personal hygiene $\cdot$ Washing hands before meals : Male students who were younger had a lower number reporting washing hands before meals(p<.05). $\cdot$ Brushing teeth: Male students had a lower number reporting brushing teeth(p<.05). 5. Reading distance : Younger students had a higher number reporting near reading distance(p<.05). 6. Exercise: Female students who were younger reported less exercise(p<.05). 7. Sewage Managing : Male students had a lower number reporting separating of garbage according to recyclability(p<.05).

• Kyungpook Mathematical Journal
• /
• v.62 no.4
• /
• pp.769-772
• /
• 2022

Given a prime number p and a natural number m not divisible by p, we propose the problem of finding the smallest number r₀ such that for r ≥ r₀, every group G of order p^rm has a non-trivial normal p-subgroup. We prove that we can explicitly calculate the number r₀ in the case where every group of order p^rm is solvable for all r, and we obtain the value of r₀ for a case where m is a product of two primes.

• Kyungpook Mathematical Journal
• /
• v.56 no.2
• /
• pp.367-370
• /
• 2016

In this paper, we consider the generalized Lucas sequence which is the (p, q) - Lucas sequence. Then we used the Binet's formula to show some properties of the (p, q) - Lucas number. We get some generalized identities of the (p, q) - Lucas number.

• Journal of applied mathematics & informatics
• /
• v.40 no.5_6
• /
• pp.1181-1198
• /
• 2022

In this paper we are concerned with the number of fuzzy subgroups of a finite abelian p-group ℤ_p^m × ℤ_pⁿ × ℤ_p^ℓ of rank three with order p^m+n+ℓ. We obtain a recurrence relation for the number of fuzzy subgroups of a finite abelian p-group ℤ_p^m × ℤ_pⁿ × ℤ_p^ℓ. In order to show that using this recurrence relation, one can find explicit formulas for the number of fuzzy subgroups of ℤ_p^m × ℤ_pⁿ × ℤ_p^ℓ consecutively, we give explicit formulas for the number of fuzzy subgroups of ℤ_p^m × ℤ_pⁿ × ℤ_p^ℓ where (n, ℓ) = (1, 1), (2, 1), (3, 1), (4, 1), (5, 1), (2, 2), (3, 2), (4, 2), (5, 2).

• Journal of The Korea Institute of Healthcare Architecture
• /
• v.4 no.6
• /
• pp.67-76
• /
• 1998

The purpose of this study is to estimate the number of the consulation rooms for the O.P.D. in General Hospital. To estimate optimal number of consulation rooms, it has to be considered the factors of population density, neighboring medical supply, condition of location, and the number of bed etc. And the figure of Out-Patients has to be expected as exact as possible. In calculation of consulation rooms, existing hospital planning has been considered only the number of bed, without considering many other factors. According to it, the number of consulation rooms was calculated by consulation and then work out the total number of consulation rooms for the O.P.D.. Therefore this method has been had a lot of problems But. this study considered four factors, and calculated the total number of consulation rooms for O.P.D. and then worked out the number of consulation rooms by O.P.D.

• Bulletin of the Korean Mathematical Society
• /
• v.60 no.4
• /
• pp.933-955
• /
• 2023

For any prime number p, let J(p) be the set of positive integers n such that the numerator of the n^th harmonic number in the lowest terms is divisible by this prime number p. We consider an extension of this set to the generalized harmonic numbers, which are a natural extension of the harmonic numbers. Then, we present an upper bound for the number of elements in this set. Moreover, we state an explicit condition to show the finiteness of our set, together with relations to Bernoulli and Euler numbers.

• Journal of applied mathematics & informatics
• /
• v.41 no.6
• /
• pp.1193-1207
• /
• 2023

In this paper, we introduce an iP₂ extension of a star graph S_n for n ≥ 2 and 1 ≤ i ≤ n - 1. Certain general properties satisfied by order, size, domination (or Roman) numbers γ (or γ_R) of an iP₂ extended star graph are studied. Finally, we study how the parameters such as chromatic number and harmonious chromatic number are affected when an iP₂ extension process acts on the star graphs.

• Bulletin of the Korean Mathematical Society
• /
• v.37 no.4
• /
• pp.685-690
• /
• 2000

In this paper, we consider the jump number of the split P[S] of a subset S ordered set P. $For\ x\in\ P,\ we\ show\ that\ s(P)\leq\ s(P[x]\leq\ s(P)+2$ and give a necessary and sufficient condition for which s(P[x])=s(P).

• Journal of Technologic Dentistry
• /
• v.20 no.1
• /
• pp.61-89
• /
• 1998

Having taken as cause of dental technicians separation from their service a variety of individual idiosyncrasies, function-related factors, external environment factors, functional satisfaction, organizational commitment, and intention to remain, the present study conducted a mail questionnaire poll and interviews on those dental technicians who are mow in the service with private dental technical workshops and dental technical workshops in general hospitals and private dental clinics. The resultant findings from analysis of the repondent's general characteristics of cause of separation form service were revealed, as follows : 1) It was shown that the higher the academic career, the considerably higher cause of position commitment among causes of individual idio-syncrasies, reflecting a statistically significant result(P<0.05) 2) The less the number of working hours as viewed from the average number of working hours per day, the higher the positive emotion, reflecting a significant relation(P<0.01) 3) Causes from performing duties among function-related causes diclosed a statistically significant relation among marital status, career, monthly income, and positions(P<0.01) 4) Causes from wages showed a statistically significant relation in the average number of working hours per day(P<0.01), monthly income(P,0.05), and positions(P<0.05) 5) Causes from supervision exposed a significant relation in workplaces(P<0.01) 6) Causes from promotion represented a significant relation in positions(P<0.001) 7) Causes from opportunnities for taking a job as seen from external environment causes also disclosed a statistically significant relation in workplaces(P<0.05) 8) Reponsibility for family sustenace reflected a statistically significant relation in sex, age, marital status, career, monthly income, work fields, term of employment, positions, and experience of separation(P<0.001) 9) Functional satisfaction showed a statistically significant relation in marital status, career, monthly income, and the average number of hours a day(P<0.05) 10) Oraganizational commitment disclosed a statistically significant relation in work experience, monthly income, term of employment, positions(P<0.05) and the average number of working hours a day(P<0.001) 11) The intention to remain indicated a statistically significant relation in age, marital status, work experience, monthly income, positions(P<0.001) and term of employment. the average number of working hours a day(P<0.01), and in the performing work field(P<0.05)