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MORE ON FUZZY MAXIMAL, MINIMAL OPEN AND CLOSED SETS

  • SWAMINATHAN, A.;SIVARAJA, S.
    • Journal of applied mathematics & informatics
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    • v.39 no.3_4
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    • pp.251-257
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    • 2021
  • This article is devoted to introduce the notion of fuzzy cleanly covered fuzzy topological spaces; in addition two strong fuzzy separation axioms are studied. By means of fuzzy maximal open sets some properties of fuzzy cleanly covered fuzzy topological spaces are obtained and also by means of fuzzy maximal closed sets few identical results of a fuzzy topological spaces are investigated. Through fuzzy minimal open and fuzzy maximal closed sets, two strong fuzzy separation axioms are discussed.

Comparative Study on Maximal and Habitual Clenching Through T-Scan System (T-Scan System을 이용한 Maximal Clenching과 Habitual Clenching의 비교연구)

  • Young-Ku Kim
    • Journal of Oral Medicine and Pain
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    • v.14 no.1
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    • pp.35-42
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    • 1989
  • 악구강계의 질환을 진단하고 치료후의 예후를 판정하기 위하여 maximal clenching시에 측정된 tooth contacts의 수와 분포가 이용되어 왔다. 그러나 maximal clenching시 반복된 tooth contacts의 측정은 저작근 피로등 문제점을 가지고 있다. 본연구는 건강한 성인 15명을 대상으로 maximal clenching 및 habitual clenching시 T-Scan system을 이용하여 치아접촉 수와 접촉시간을 측정, 비교 검토하여 habitual clenching을 이용한 방법이 Tooth contacts의 연구에 이용될 수 있는지를 확인 하는데 목적이 있으며, 연구결과는 다음과 같다. 1. Habitual clenching시 upright, semisupine position에서의 전측두근의 근활성은 maximal clenching시의 64.5%, 61.9% 및 73.3%로 나타났다. 2. Maximal clenching시 치아접촉 수와 접촉시간은 16.82개 및 0.429초로 나타났으며 habitual clenching시에는 11.65개 및 0.177초로 나타났다. 3. 치아접촉수와 접촉시간은 체위에 따라 크게 변화되지 않았다. 4. 치아접촉수와 접촉시간의 측정시에 habitual clenching을 이용하는 방법이 maximal clenching을 이용하는 방법보다 재현성이 더 높은 것으로 나타났다. 5. Tooth contacts의 연구시 habitual clenching을 기준으로 사용할 수 있다.

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Linear-time algorithms for computing a maximal increasing subsequence (극대 증가 부분서열을 찾는 선형 알고리즘)

  • Joong Chae Na
    • Smart Media Journal
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    • v.12 no.6
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    • pp.9-14
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    • 2023
  • The longest increasing subsequence is a fundamental problem which has been studied for a long time in computer science. In this paper, we consider the maximal increasing subsequence problem where the constraint is released from the longest to the maximal. For two kinds of increasing (monotone increasing and strictly increasing), we propose linear-time algorithms computing a maximal increasing subsequence of an input sequence from an alphabet Σ. Our algorithm for computing a maximal monotone increasing subsequence requires O(1) space and our algorithm for computing a maximal strictly increasing subsequence requires O(|Σ|) space.

Effects of Lower Rib Expansion Limitation on Maximal Respiratory Pressure and Abdominal Muscle Activity During Maximal Breathing in Healthy Subjects

  • Lee, Gyu-wan;Yoon, Tae-Lim;Lee, Young-jung;Kim, Ki-song;Yi, Chung-hwi
    • The Journal of Korean Physical Therapy
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    • v.32 no.6
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    • pp.394-399
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    • 2020
  • Purpose: The aim of this study was to determine the effects of lower rib cage lateral expansion limitation on the maximal inspiratory and expiratory pressures and on abdominal muscle activity during maximal respiratory breathing in healthy subjects. Methods: Fifteen healthy male subjects voluntarily participated in this cross-sectional study. During maximal breathing, maximal inspiratory and expiratory pressures were measured, and abdominal muscle activity was determined with using surface electromyography. Also, the measurement was repeated with using a non-elastic belt to the lower rib cage for limiting of lateral expansion. A Wilcoxon signed-rank test was performed for obtaining the statistical difference with a significance level of 0.05. Results: The findings of this study are as follows: 1) There were no significant differences in maximal inspiratory and expiratory pressure with and without lower rib cage lateral expansion (p>0.05), 2) There was no significant difference in abdominal muscle activity during the maximal inspiratory phase (p>0.05). However, right external oblique muscle activity decreased significantly during maximum exhalation with lower rib expansion limitation (p<0.05). Conclusion: The results of the current study indicate that a non-elastic belt was effective in decreasing right external oblique muscle activity during forced expiratory breathing in healthy subjects.

The Effects of Karvonen Exercise Prescription in Acute Coronary Artery Disease Patients Reaching Age-Predicted Maximal Heart Rates with Exercise Stress Test

  • Kim, Chul;Kim, Young-Joo
    • Biomedical Science Letters
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    • v.19 no.3
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    • pp.254-260
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    • 2013
  • The purpose of this study was to survey the effects of Karvonen exercise prescription in coronary artery disease patients reaching age-predicted maximal heart rates with the exercise stress test on hemodynamic responses and cardiorespiratory fitness. The subject group was comprised of acute coronary syndrome (ACS) patients, who were divided into the maximal heart rate (MHR) group that included those who completed the test with their heart rates reaching the number of 220-age and the maximal dyspnea (MD) group that included those who could not continue the test due to respiratory difficulty and were asked to stop the test. Both groups had the exercise stress test before and after the experiment. In the exercise stress test before the experiment, the exercise prescription intensity of Karvonen was set at the target heart rates of 50~85% with a six-week exercise monitoring arrangement. As a result, there were no interactive effects in rest heart rate (RHR) according to time and group, but interactive effects were observed in maximal heart rate (MHR) (P=0.000). Both rest systolic blood pressure (RSBP) and rest diastolic blood pressure (RDBP) had no interactive effects according to time and group. Maximal systolic blood pressure (MSBP) showed significant interactive effects according to time and group (P=0.017). Maximal diastolic blood pressure (MDBP) showed no interactive effects according to time and group, while maximal rate pressure product (MRPP) showed significant interactive effects according to time and group (P=0.003). Maximal time (MT) had no interactive effects according to time and group. $VO_{2max}$ and maximal metabolic equivalent (MMET) showed significant interactive effects according to time and group (P=0.000, P=0.002, respectively), whereas maximal respiratory exchange ratio (MRER) and maximal rating of perceived exertion (MRPE) showed no interactive effects according to time and group. The exercise test that was discontinued as the subjects reached the predicted maximal heart rates considering age did not reach the maximal exercise intensity and accordingly showed low exercise effects when applied to Karvonen exercise prescription intensity. That is, the test should keep going by monitoring cardiac events, MRER and MRPE until the heart rates exceed the predicted MHR by up to 10~12 even after the subject reaches the predicted MHR considering age in the exercise stress test.

The Number of Maximal Independent sets of the Graph with joining Moon-Moser Graph and Complete Graph (Moon-Moser 그래프와 완전그래프를 결합한 그래프의 극대독립집합의 개수)

  • Chung, S.J.;Lee, C.S.
    • Journal of Korean Institute of Industrial Engineers
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    • v.20 no.4
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    • pp.65-72
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    • 1994
  • An independent set of nodes is a set of nodes no two of which are joined by an edge. An independent set is called maximal if no more nodes can be added to the set without destroying its independence. The greatest number of maximal independent set is the maximum possible number of maximal independent set of a graph. We consider the greatest number of maximal independent set in connected graphs with fixed numbers of edges and nodes. For arbitrary number of nodes with a certain class of number of edges, we present the connected graphs with the greatest number of maximal independent set. For a given class of number of edges, the structure of graphs with the greatest number of maximal independent set is that the two components are completely joined; one consists of disjoint triangles as many as possible and the other is the complete graph with remaining nodes.

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The Immediate Effects of Kinesio Taping on the Maximal Power and Muscle Activity of Erector Spinae in Normal Subjects

  • Lee, Moon-Hwan;Kim, Seong-Yeol
    • International Journal of Contents
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    • v.8 no.4
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    • pp.70-73
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    • 2012
  • The purpose of this study was to evaluate the effects of Kinesio taping(KT) on the maximal power and muscle activity of erector spinae. 30 male subjects were allocated in this study and randomly divided into experimental and control groups. All subjects were measured for maximal power of trunk extensors and muscle activities of iliocostalis lumborum, longissimus, and multifidus between pre and post experiment. Maximal power was calculated using a dynamometer(Power Track II, JTECH medical, USA), and muscle activities were calculated using a surface EMG(MP150 BIOPAC System Inc. CA. USA). Maximal power of trunk extensor showed no significant difference between pre and post intervention in both groups(p>0.05). Muscle activity of iliocostalis lumborum, longissimus, and multifidus showed no significant difference between pre and post intervention(p>0.05). Finally, there was no significant difference between Experimental and control group in maximal power and muscle activity of trunk extensor. These study results suggested that KT did not affect increase or decrease in maximal power and muscle activities of trunk extensor.

MAXIMAL INVARIANCE OF TOPOLOGICALLY ALMOST CONTINUOUS ITERATIVE DYNAMICS

  • Kahng, Byungik
    • Journal of the Korean Mathematical Society
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    • v.59 no.1
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    • pp.105-127
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    • 2022
  • It is known that the maximal invariant set of a continuous iterative dynamical system in a compact Hausdorff space is equal to the intersection of its forward image sets, which we will call the first minimal image set. In this article, we investigate the corresponding relation for a class of discontinuous self maps that are on the verge of continuity, or topologically almost continuous endomorphisms. We prove that the iterative dynamics of a topologically almost continuous endomorphisms yields a chain of minimal image sets that attains a unique transfinite length, which we call the maximal invariance order, as it stabilizes itself at the maximal invariant set. We prove the converse, too. Given ordinal number ξ, there exists a topologically almost continuous endomorphism f on a compact Hausdorff space X with the maximal invariance order ξ. We also discuss some further results regarding the maximal invariance order as more layers of topological restrictions are added.

ON RINGS WHOSE ESSENTIAL MAXIMAL RIGHT IDEALS ARE GP-INJECTIVE

  • Jeong, Jeonghee;Kim, Nam Kyun
    • Communications of the Korean Mathematical Society
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    • v.37 no.2
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    • pp.399-407
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    • 2022
  • In this paper, we continue to study the von Neumann regularity of rings whose essential maximal right ideals are GP-injective. It is proved that the following statements are equivalent: (1) R is strongly regular; (2) R is a 2-primal ring whose essential maximal right ideals are GP-injective; (3) R is a right (or left) quasi-duo ring whose essential maximal right ideals are GP-injective. Moreover, it is shown that R is strongly regular if and only if R is a strongly right (or left) bounded ring whose essential maximal right ideals are GP-injective. Finally, we prove that a PI-ring whose essential maximal right ideals are GP-injective is strongly π-regular.