• 제목/요약/키워드: p-number

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8-RANKS OF CLASS GROUPS OF IMAGINARY QUADRATIC NUMBER FIELDS AND THEIR DENSITIES

  • Jung, Hwan-Yup;Yue, Qin
    • 대한수학회지
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    • 제48권6호
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    • pp.1249-1268
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    • 2011
  • For imaginary quadratic number fields F = $\mathbb{Q}(\sqrt{{\varepsilon}p_1{\ldots}p_{t-1}})$, where ${\varepsilon}{\in}${-1,-2} and distinct primes $p_i{\equiv}1$ mod 4, we give condition of 8-ranks of class groups C(F) of F equal to 1 or 2 provided that 4-ranks of C(F) are at most equal to 2. Especially for F = $\mathbb{Q}(\sqrt{{\varepsilon}p_1p_2)$, we compute densities of 8-ranks of C(F) equal to 1 or 2 in all such imaginary quadratic fields F. The results are stated in terms of congruence relation of $p_i$ modulo $2^n$, the quartic residue symbol $(\frac{p_1}{p_2})4$ and binary quadratic forms such as $p_2^{h+(2_{p_1})/4}=x^2-2p_1y^2$, where $h+(2p_1)$ is the narrow class number of $\mathbb{Q}(\sqrt{2p_1})$. The results are also very useful for numerical computations.

심미보철(審美補綴) 제작(製作)에 관계(關係)되는 심미적(審美的) 요소(要素)에 관(關)한 연구(硏究) (Investigation about Esthetic Appreciation for the Esthetic Prosthesis)

  • 정인성
    • 대한치과기공학회지
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    • 제18권1호
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    • pp.95-115
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    • 1996
  • The esthetic factor for the esthetic prosthesis were studied on 300 persons. The praaticipants were 150 students registered under the Deparment of Dental Laboratoy Technology, Jisan Junior College at the present day of June, 1995 and their mothers. The results were as follows; 1. The number of persons with 28 teeth in their oralcatity was highest(P<0.01). They complained that they have only 28 teeth bacaues of the loss(deficiency) fo teeth due to their impacted teeth and dental caries. 2. The presons with feelings of dissatisfaction were large in number(P<0.01). They were dissatisfied with an abnormal tooth form(33.5%), tooth position(31.7%), tooth color(31.1%), and tooth size(3.7%) in order(P<0.01). 3. In their facial form, the most numerous were men with square form and women with ovoid form(P<0.01). Among the whloe number fo facial forms it appeared to decresae in the order of ovoied(41.8%), square(32.7%), square+tapered(20.5%), and tapered form(5%)(P<0.01). In a profile form, the most numerous were men with A form and women with B. Among the whole participants the most numerous were persons with B form and persons with A and C form were next in oder of numbers(P<0.01). 4. In discoloration of teeth, the most numerous were persons who have no discoloration. 5. In the esthetic recovery of anterior prosthesis the color matching of proximal teeth was not correct, but the outline of proximal teeth was to be reproduced correctly. 6. In the diastema of teeth, the number of persons who have no diastema was higher than that of persons who have a disatema(P<0.01) Among the persons who have diastema the most numerous were persons who have a diastema, and next were 2, 4, 3 and 5 diastemas in order. 7. In a meeting point of the midline of the body and the tooth the number of person hanving a meeting point was higher than that of persons who did not fit each other(P<0.01). The bias direction of midline teeth appeared to be affected by chewing direction, prosthesis location, and posterior location. 8. The length and width of teeth in the tooth size were suitable(P<0.01). The number of persons who have central teeth longer than lateral teeth was high(P<0.0). 9. In the results of smile analysis, the line form connected with incisal edge of upper canine were parallel(P<0.01). When smile the location fo upper lips should be in accord with the central area of teeth(P<0.01) and lower lip should be atteched to the edge of anterior teeth in order to be esthetic. 10. Among the number of upper teeth we can see the most numerous were 8 teeth and next were 10, 6 and 12 in order.

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Correlation analysis between elderly oral myofunction, oral microorganisms, and cognitive function

  • Kim, Seol-Hee
    • 한국치위생학회지
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    • 제19권2호
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    • pp.161-172
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    • 2019
  • Objectives: This study aimed to analyze the correlation between oral function, oral environment, and brain cognitive function in the elderly. Methods: The subjects were 60 users of senior community center and elderly day care center. The survey was conducted from November to December 2018. Subjects were assessed by oral examination and myofunction test. Oral myofunction was measured using $IOPI^R$ and Lip de $Cum^R$. Survey data were analyzed using the statistical programs of PASW Statistics ver. 18.0. Results: Tongue muscle strength and lips muscle strength was higher in males than in females. The tongue and lip strengths were higher in the <81 years old group than the ${\geq}81$ years old group. Functional tooth analysis showed that there was a ${\geq}15$ teeth group ($40.91{\pm}7.36$) and a <15 teeth group ($32.52{\pm}7.14$). Lip muscle strength analysis showed that the ${\geq}15$ teeth group ($10.54{\pm}3.40$) was higher than the <15 teeth group ($8.20{\pm}2.41$, p<0.05). Tongue muscle strength, lumbar muscle strength, and functional tooth number were lower in the elderly subjects with mild cognitive impairment. Cognitive function was significantly correlated with functional tooth number (r=0.386, p<0.001), tongue strength (r=0.478, p<0.001), and lip strength (r=0.281, p<0.05). Tongue strength was significantly correlated with lip strength (r=0.360, p<0.001) and functional tooth number (r=0.633, p<0.001). Lip strength was significantly correlated with functional tooth number (r=0.376, p<0.001). Conclusions: These results showed that age and functional tooth number influenced oral muscle strength and that the number of functional teeth and oral muscle strength were low in the elderly with mild cognitive impairment. Oral myofunction training and oral care program are suggested to improve the quality of life of the elderly.

SOME REMARKS ON A q-ANALOGUE OF BERNOULLI NUMBERS

  • Kim, Min-Soo;Son, Jin-Woo
    • 대한수학회지
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    • 제39권2호
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    • pp.221-236
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    • 2002
  • Using the p-adic q-integral due to T. Kim[4], we define a number B*$_{n}$(q) and a polynomial B*$_{n}$(q) which are p-adic q-analogue of the ordinary Bernoulli number and Bernoulli polynomial, respectively. We investigate some properties of these. Also, we give slightly different construction of Tsumura's p-adic function $\ell$$_{p}$(u, s, $\chi$) [14] using the p-adic q-integral in [4].n [4].

Bipartite posets with a unique optimal linear extension

  • Yoon, Young-Jin
    • 대한수학회보
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    • 제33권3호
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    • pp.393-395
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    • 1996
  • 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 poset is bipartite if the length of each maximal chain is one.

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PRECEDE 모형을 이용한 구강건강의 영향요인에 대한 진단적 연구 (Influencing factors of oral health by PRECEDE model)

  • 조민정
    • 한국치위생학회지
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    • 제13권3호
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    • pp.525-534
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    • 2013
  • Objectives : This study aimed to improve school health program by investigation of several variables through educational diagnostic factors which influence the level of subjective oral health perception and DMFT of students on the basis of PRECEDE model. Methods : A total of 286 high school students in Busan completed the self-reported questionnaire from September 3 to 28 in 2012. Results : 1. Social and epidemiologic diagnosis suggested that the level of subjective oral health perception of male students was not better than that of female students and DMFT number of the male was more than that of the female(p<0.001)(p<0.001). 2. Oral health diagnosis indicated that once a day tooth brushing group showed lower level of oral health perception(p<0.001) and high DMFT number(p<0.001). 3. Predisposing factor of educational diagnosis implied that more than 4 times a day snack intake group and sweet diet and soda friendly group showed lower level of oral health perception and high DMFT number(p<0.001). 4. Tooth brushing of the reinforcing factors had the most important effect on the level of oral health perception and the number of dental caries. Daily snack intake was the most important effect on DMFT number. Conclusions : The informed consent from each family was the important factor in implementing PRECEDE model. School health program improved oral health care. Oral health program can correct the risk oral health behavior in children and adolescents.

Infinite Families of Congruences for Partition Functions ${\bar{\mathfrak{EO}}}$(n) and ${\mathfrak{EO}}_e$(n)

  • Riyajur Rahman;Nipen Saikia
    • Kyungpook Mathematical Journal
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    • 제63권2호
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    • pp.155-166
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    • 2023
  • In 2018, Andrews introduced the partition functions ${\mathfrak{EO}}$(n) and ${\bar{\mathfrak{EO}}}$(n). The first of these denotes the number of partitions of n in which every even part is less than each odd part, and the second counts the number of partitions enumerated by the first in which only the largest even part appears an odd number of times. In 2021, Pore and Fathima introduced a new partition function ${\mathfrak{EO}}_e$(n) which counts the number of partitions of n which are enumerated by ${\bar{\mathfrak{EO}}}$(n) together with the partitions enumerated by ${\bar{\mathfrak{EO}}}$(n) where all parts are odd and the number of parts is even. They also proved some particular congruences for ${\bar{\mathfrak{EO}}}$(n) and ${\mathfrak{EO}}_e$(n). In this paper, we establish infinitely many families of congruences modulo 2, 4, 5 and 8 for ${\bar{\mathfrak{EO}}}$(n) and modulo 4 for ${\mathfrak{EO}}_e$(n). For example, if p ≥ 5 is a prime with Legendre symbol $({\frac{-3}{p}})=-1$, then for all integers n ≥ 0 and α ≥ 0, we have ${\bar{\mathfrak{EO}}}(8{\cdot}p^{2{\alpha}+1}(pn+j)+{\frac{19{\cdot}p^{2{\alpha}+2}-1}{3}}){\equiv}0$ (mod 8); 1 ≤ j ≤ (p - 1).

The Effect of a Computerized Pharmacist Communication Application-based SBAR Tool

  • Young Ju Cheon;Kyong Nam Ye;Jung Bo Kim;Jung Tae Kim;Sook Hee An
    • 한국임상약학회지
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    • 제33권2호
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    • pp.135-142
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    • 2023
  • Background: Pharmacists communicate with a variety of healthcare experts to prevent medication errors. Situation-Background-Assessment-Recommendation (SBAR) is a tool used for concise and accurate communication. In 2018, we developed the pharmacy-SBAR (P-SBAR) to deliver pharmacists intervention more quickly and effectively through quality improvement activities. Objectives: This study evaluates the efficacy of P-SBAR on pharmacists' intervention activities before and after the implementation of P-SBAR applications. We assessed the impact of P-SBAR on reducing the burden of intervention work, promoting pharmacists' participation, and enhancing the acceptance rate. Methods: This is a retrospective study of the two groups before and after P-SBAR implementation. All pharmacists' intervention records during two periods (2016-2017 and 2019-2020) were extracted from the data warehouse system at Kyunghee University Hospital at Gangdong, Seoul. The outcome was the number of inpatients and pharmacists who participated in the prescription monitoring activity, the number of interventions, and the physicians' acceptance rate. Results: Although the total number of inpatients decreased (364,753 vs. 348,229), the number of pharmacists who participated in intervention activity increased (monthly mean: 15.8 vs. 18.0, p=0.001). The total number of interventions (2,767 vs. 4,389), the frequency of full acceptance (2,018 vs. 3,710), and the monthly acceptance rate increased significantly (73.8% vs. 83.8%, p<0.001). Conclusion: P-SBAR improved accessibility and convenience by digitalizing the intervention activities performed in an offline environment. Improvement in work burden and acceptance rate using P-SBAR is expected to contribute toward reducing medication errors.

PRIMALITY BETWEEN CONSECUTIVE PRIMORIALS

  • Jung, Kiyuob;Ko, Eunkyung
    • 대한수학회보
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    • 제58권6호
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    • pp.1377-1385
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    • 2021
  • In this paper, we consider a general number system with a base m in order to determine if a positive integer x is prime. We show that the base m providing the most efficient test is the primorial pn# when pn# < x < pn+1# and establish a necessary and sufficient condition for x in between consecutive primorials to be determined as a prime number.

SQUARE CONGRUENCE GRAPHS

  • Janardhanan Suresh Kumar;Sarika M. Nair
    • 대한수학회논문집
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    • 제38권3호
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    • pp.937-941
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    • 2023
  • For each positive integer n, a square congruence graph S(n) is the graph with vertex set H = {1, 2, 3,...., n} and two vertices a, b are adjacent if they are distinct and a2 ≡ b2 (mod n). In this paper we investigate some structural properties of square congruence graph and we obtain the relationship between clique number, chromatic number and maximum degree of square congruence graph. Also we study square congruence graph with p vertices or 2p vertices for any prime number p.