• Journal of applied mathematics & informatics
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• 제42권3호
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• pp.483-497
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• 2024

Isometric array grammar is one of the simplest model to generate picture languages, since both sides of its production rule have the same shape. In this paper, we have introduced isometric fuzzy regular array grammars to generate isometric fuzzy regular array languages and discussed its closure properties. Also, the relation between isometric fuzzy regular array grammar and boustrophedon fuzzy finite automata has been discussed. Moreover, we study the relation between two dimensional fuzzy regular grammars with returning fuzzy finite automata and boustrophedon fuzzy finite automata. Further, the hierarchy results of these three classes of languages have been discussed.

• 대한수학회보
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• 제25권2호
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• pp.203-209
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• 1988

In this paper, we define a g-regular semigroup which is a generalization of a regular semigroup. And we want to find some properties of g-regular semigroup. G-regular semigroups contains the variety of all regular semigroup and the variety of all periodic semigroup. If a is an element of a semigroup S, the smallest left ideal containing a is Sa.cup.{a}, which we may conveniently write as $S^{I}$a, and which we shall call the principal left ideal generated by a. An equivalence relation l on S is then defined by the rule alb if and only if a and b generate the same principal left ideal, i.e. if and only if $S^{I}$a= $S^{I}$b. Similarly, we can define the relation R. The equivalence relation D is R.L and the principal two sided ideal generated by an element a of S is $S^{1}$a $S^{1}$. We write aqb if $S^{1}$a $S^{1}$= $S^{1}$b $S^{1}$, i.e. if there exist x,y,u,v in $S^{1}$ for which xay=b, ubv=a. It is immediate that D.contnd.q. A semigroup S is called periodic if all its elements are of finite order. A finite semigroup is necessarily periodic semigroup. It is well known that in a periodic semigroup, D=q. An element a of a semigroup S is called regular if there exists x in S such that axa=a. The semigroup S is called regular if all its elements are regular. The following is the property of D-classes of regular semigroup.group.

• 대한수학회보
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• 제31권2호
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• pp.187-192
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• 1994

The author extended the small properties of topological semilattices to that of regular semigroups [3]. In this paper, it could be shown that a semigroup S is almost regular if and only if over bar RL = over bar R.cap.L for every right ideal R and every left ideal L of S. Moreover, it has shown that the Bohr compactification of an almost regular semigroup is regular. Throughout, a semigroup will mean a topological semigroup which is a Hausdorff space together with a continuous associative multiplication. For a semigroup S, we denote E(S) by the set of all idempotents of S. An element x of a semigroup S is called regular if and only if x .mem. xSx. A semigroup S is termed regular if every element of S is regular. If x .mem. S is regular, then there exists an element y .mem S such that x xyx and y = yxy (y is called an inverse of x) If y is an inverse of x, then xy and yx are both idempotents but are not always equal. A semigroup S is termed recurrent( or almost pointwise periodic) at x .mem. S if and only if for any open set U about x, there is an integer p > 1 such that x$^{p}$ .mem.U.S is said to be recurrent (or almost periodic) if and only if S is recurrent at every x .mem. S. It is known that if x .mem. S is recurrent and .GAMMA.(x)=over bar {x,x$^{2}$,..,} is compact, then .GAMMA.(x) is a subgroup of S and hence x is a regular element of S.

• East Asian Economic Review
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• 제19권1호
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• pp.71-97
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• 2015

This study examines the effects of several factors indicating economic openness-imported intermediate goods, total imports, IFDI (inward foreign direct investment), and foreign ownership-on regular, irregular jobs and the ratio of irregular employment to regular employment. Findings revealed that imported intermediate inputs and IFDI affected neither regular nor irregular job figures. However, an increase in total imports led to a decrease in the number of irregular jobs without affecting regular full time jobs, leading to a decrease in the ratio of irregular jobs to regular jobs. On the other hand, changes in foreign ownership structure had a contrary effect, that is, a decrease in the number of regular jobs and an increase in irregular ones, and, thus, an increase in the ratio of irregular jobs to regular jobs. Overall results showed that a rise in imports results in depressed overall employment, irregular employment in particular, while more IFDI results in more irregular jobs replacing regular ones, effectively exacerbating job insecurity. The implication of this analysis is that greater economic openness may have a negative impact on the South Korean labor market overall.

• Korean Journal of Mathematics
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• 제20권2호
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• pp.247-254
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• 2012

The Klee-Quaife problem is finding the minimum order ${\mu}(d,c,v)$ of the $(d,c,v)$ graph, which is a $c$-vertex connected $v$-regular graph with diameter $d$. Many authors contributed finding ${\mu}(d,c,v)$ and they also enumerated and classied the graphs in several cases. This problem is naturally extended to the case of digraphs. So we are interested in the extended Klee-Quaife problem. In this paper, we deal with an equivalent problem, finding the maximum diameter of digraphs with given order, focused on 2-regular case. We show that the maximum diameter of strongly connected 2-regular digraphs with order $n$ is $n-3$, and classify the digraphs which have diameter $n-3$. All 15 nonisomorphic extremal digraphs are listed.

• 대한수학회보
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• 제51권2호
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• pp.555-565
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• 2014

An ideal I of a ring R is strongly ${\pi}$-regular if for any $x{\in}I$ there exist $n{\in}\mathbb{N}$ and $y{\in}I$ such that $x^n=x^{n+1}y$. We prove that every strongly ${\pi}$-regular ideal of a ring is a B-ideal. An ideal I is periodic provided that for any $x{\in}I$ there exist two distinct m, $n{\in}\mathbb{N}$ such that $x^m=x^n$. Furthermore, we prove that an ideal I of a ring R is periodic if and only if I is strongly ${\pi}$-regular and for any $u{\in}U(I)$, $u^{-1}{\in}\mathbb{Z}[u]$.

• 근관절건강학회지
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• 제24권2호
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• pp.150-158
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• 2017

Purpose: Regular physical activity is beneficial in reducing disease activity and morbidity in patients with rheumatoid arthritis (RA). The purposes of this study were to examine the levels of regular physical activity and learned helplessness and to identify factors influencing in participation in regular physical activity in RA patients. Methods: This cross-sectional study was conducted with 210 RA patients in a university-affiliated hospital. Participants completed a questionnaire including demographic and disease-related characteristics, physical activity and learned helplessness. Data were analyzed with descriptive statistics, $x^2$ tests, t-tests, and multivariate logistic regression analyses. Results: About 23% of RA patients engaged in at least 30 minutes of regular physical activity per week. Patients with being older (OR=1.09, 95%CI=1.03~1.14), no employment status (OR=0.17, 95% CI=0.07~0.42), and lower levels of learned helplessness (OR=0.58, 95% CI=0.34~0.96) had significantly higher chance of engaging in regular physical activity. Conclusion: In developing nursing interventions to promote regular physical activity in RA patients, their learned helplessness should be considered.

• Journal of Periodontal and Implant Science
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• 제32권3호
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• pp.577-588
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• 2002

Osseointegrated implants have been established as the standard treatment modality for full/partial edentulous patients since the 1960's, and the long term results for full edentulous patients have proven to be successful. Based on these results osseointegrated implants are now widely used for partial edentulous patients. There has been an increased interest towards the efficacy of wide implants, despite many reports mentioning the lower success rate of wide implants compared to regular implants. Recently, mandibular molar area defects are commonly restored using 2 wide implants, but it is not determined whether which treatment modality-3 regular implants or 2 wide implants-shows superior success rate. In this study, 2 wide implants and 3 regular implants used for the restoration of mandibular molar area are used to compare the survival rate of 1-4 years, and to analyze and compare the failure factors. The following conclusions could be drawn from this study. 1. Wide implants and regular implants showed 94.5% and 97,6% of survival rate respectively. After prosthodontic work, the survival rate was 100% and 98.1% for wide implants and regular implants respectively. 2. 5 failed implants have been removed. 2 wide implants and 1 regular implant have been removed due to failure of osseointegration. 1 wide implant was removed due to abscess formation caused by over-heating, and 1 regular implant was removed due to mechanical failure caused by over-loading within the first year of function. 3. No statistically significant difference was observed with respect to the amount of marginal bone loss of wide and regular implants.(P>0.05) In conclusion, restoration of the mandibular molar area using 3 regular implants was found to be a good treatment modality, and 2 wide implants could he considered a good treatment modality when success factors are taken into account.

• 한국치위생학회지
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• 제13권6호
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• pp.969-976
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• 2013

Objectives : The purpose of the study is to investigate the deciding factors of regular scaling checkup in metropolitan adults. Methods : The subjects were 395 adults of 20s to 50s in Seoul and Gyeonggi province from September 25 to October 4, 2012. Data were self-reported questionnaires. Results : Female tried to receive more regular scaling checkup than male. Dental practitioners were acquainted with the dental knowledge and had more scaling checkup. Those who received dental scaling checkup tended to use dental hygiene products and visit the dentists regularly. Those who receiving good dental health services tended to visit the dental clinics more frequently. Higher knowledge and lower fear of dental treatment lead to frequent regular checkup. There were significant positive correlations between satisfaction, kindness, knowledge of scaling and regular scaling checkup. Fear to dental treatment showed the negative correlation. Conclusions : In order to increase intention degree of regular scaling checkup, it is necessary to develop programs for proper oral health behavior and to improve patient care services by dental hygienist.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2009년도 하계학술대회 논문집
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• pp.361-361
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• 2009

KEPCO High Temperature Superconducting (HTS) cable system rated with $3\Phi$, 22.9kV, 1250A was laid in 2006, and the long term test is in progress. The HTS cable system with the cooling system has been operated below cryogenic temperature. That environment exposes the system to the thermo-mechanical stress due to the significant temperature difference, and the cooling system has moving parts for the forced circulation of the coolant. Therefore the HTS cable system experiences thermal fatigue and moving part such as liquid nitrogen pump need a regular replacement every 5000 hours Building the assessment criterion, the maintenance procedure was established and regular preventive maintenance was done; improvement of the termination structure and the replacement of the bearing of liquid nitrogen pump. Following the proper process, the reliability assessment test including He leakage detection and the stability of flow rate was performed. This paper describes the process and result of the first regular maintenance of KEPCO HTS cable system