• Title/Summary/Keyword: maximal

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A REFINED ENUMERATION OF p-ARY LABELED TREES

  • Seo, Seunghyun;Shin, Heesung
    • Korean Journal of Mathematics
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    • v.21 no.4
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    • pp.495-502
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    • 2013
  • Let $\mathcal{T}^{(p)}_n$ be the set of p-ary labeled trees on $\{1,2,{\ldots},n\}$. A maximal decreasing subtree of an p-ary labeled tree is defined by the maximal p-ary subtree from the root with all edges being decreasing. In this paper, we study a new refinement $\mathcal{T}^{(p)}_{n,k}$ of $\mathcal{T}^{(p)}_n$, which is the set of p-ary labeled trees whose maximal decreasing subtree has k vertices.

SPACELIKE MAXIMAL SURFACES, TIMELIKE MINIMAL SURFACES, AND BJÖRLING REPRESENTATION FORMULAE

  • Kim, Young-Wook;Koh, Sung-Eun;Shin, Hea-Yong;Yang, Seong-Deog
    • Journal of the Korean Mathematical Society
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    • v.48 no.5
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    • pp.1083-1100
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    • 2011
  • We show that some class of spacelike maximal surfaces and timelike minimal surfaces match smoothly across the singular curve of the surfaces. Singular Bj$\"{o}$rling representation formulae for generalized spacelike maximal surfaces and for generalized timelike minimal surfaces play important roles in the explanation of this phenomenon.

On Rings Containing a Non-essential nil-Injective Maximal Left Ideal

  • Wei, Junchao;Qu, Yinchun
    • Kyungpook Mathematical Journal
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    • v.52 no.2
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    • pp.179-188
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    • 2012
  • We investigate in this paper rings containing a non-essential $nil$-injective maximal left ideal. We show that if R is a left MC2 ring containing a non-essential $nil$-injective maximal left ideal, then R is a left $nil$-injective ring. Using this result, some known results are extended.

Comparison and Analysis on the Maximal Clique Finding Algorithms (Maximal Cliques 탐색 알고리즘들의 비교 및 분석)

  • Lee, G.H.;Cho, J.H.
    • Electronics and Telecommunications Trends
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    • v.8 no.4
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    • pp.177-185
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    • 1993
  • 본 고에서는 기존의 maximal cliques 탐색 알고리즘들을 조사하여 분석하고 문제점들을 제시하여 상호 비교 분석함으로써 maximal cliques를 탐색하는 분야에 대한 알고리즘의 체계를 파악하고 기여할 수 있도록 노력하였다. 특히 기존의 clique 탐색 알고리즘들을 그들이 사용하는 기법에 따라서 point sequence method, line addition and removal technique, backtracking technique, 그리고 stack operation technique로 분류하고 각 기법에 해당하는 사례 알고리즘들을 분석하여 장단점들을 파악하며 상호 비교 분석하는데 그 초점을 맞추었다.

Maximal Hypersurfaces of (m + 2)-Dimensional Lorentzian Space Forms

  • Dursun, Ugur
    • Kyungpook Mathematical Journal
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    • v.48 no.1
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    • pp.109-121
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    • 2008
  • We determine maximal space-like hypersurfaces which are the images of subbundles of the normal bundle of m-dimensional totally geodesic space-like submanifolds of an (m + 2)-dimensional Lorentzian space form $\tilde{M}_1^{m+2}$(c) under the normal exponential map. Then we construct examples of maximal space-like hypersurfaces of $\tilde{M}_1^{m+2}$(c).

COMMUTATORS OF THE MAXIMAL FUNCTIONS ON BANACH FUNCTION SPACES

  • Mujdat Agcayazi;Pu Zhang
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.5
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    • pp.1391-1408
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    • 2023
  • Let M and M# be Hardy-Littlewood maximal operator and sharp maximal operator, respectively. In this article, we present necessary and sufficient conditions for the boundedness properties for commutator operators [M, b] and [M#, b] in a general context of Banach function spaces when b belongs to BMO(?n) spaces. Some applications of the results on weighted Lebesgue spaces, variable Lebesgue spaces, Orlicz spaces and Musielak-Orlicz spaces are also given.

The Effects of Beta-blocker and Aerobic Exercise on Heart Rate Recovery and Exercise Capacity after Maximal Exercise in Acute Coronary Syndrome Patients

  • Cha, Kyung-Hwa;Oh, Jae-Keun;Kim, Young-Joo
    • Biomedical Science Letters
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    • v.19 no.1
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    • pp.70-78
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    • 2013
  • This study was conducted to identify the effects of intake of beta-blocker and aerobic exercise on heart rate recovery (HRR) and exercise capacity after maximal exercise in acute coronary syndrome patients (ACS). Subjects were divided into 4 groups; Beta-blocker-Exercise group (n=10), Beta-blocker group (n=10), Exercise group (n=10), Control group (n=10). Symptom-limited grade exercise test were conducted on subjects pre- and post- 6 week study, to measure maximal heart rate, heart rate at 1 minute and 2 minutes at the recovery stage, maximal oxygen uptake and maximal exercise time. Study resulted in significant improvements in heart rate recovery for BB-Ex group ($17.40{\pm}5.58$ bpm to $26.10{\pm}6.66$ bpm), maximal oxygen uptake for BB-Ex group ($30.46{\pm}8.63$ to $36.33{\pm}8.10$) and Ex group ($29.04{\pm}4.93$ to $34.31{\pm}5.19$), and total exercise time for BB-Ex group ($906.30{\pm}158.57$ to $1018.50{\pm}151.21$), BB group ($805.70{\pm}182.94$ to $897.50{\pm}160.16$) and Ex group ($870.00{\pm}145.63$ to $961.90{\pm}107.29$). Therefore it showed the biggest improvement for heart rate recovery and exercise capacity in acute coronary syndrome patients when both Beta-blocker and aerobic exercise were in effect.

Prediction of Maximal Flexion Strength for Exercise Intensity Setting and Measurement in Elbow Joint (팔꿉관절 운동강도 설정 및 측정을 위한 최대굴곡력 예측)

  • Jang, Jee-Hun;Kim, Jae-Min;Kim, Yeon-Kyu;Kim, Jin-Chul;Cho, Tae-Yong;Kim, Yun-Jeong;Lee, Sang-Sik
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.11
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    • pp.1628-1633
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    • 2017
  • The purpose of this study was to identify the difference and correlation in elbow joint maximal flexion strength according to measurement methods and characteristics of muscular contraction, and to develop the predictive equation of elbow joint maximal flexion strength for the optimal exercise intensity setting and accurate measurement. Subjects were 30 male university students. Elbow joint maximal flexion strength of isokinetic contraction, isometric contraction at $75^{\circ}$ elbow joint flexion position, isotonic concentric 1RM, manual muscle strength (MMT) were measured with isokinetic dynamometer, dumbbell, and manual muscle tester. Pearson's r, linear regression equation, and multiple regression equation between variables were calculated. As a result, the highest value was isometric contraction. The second highest value was MMT. The third highest value was isokinetic contraction. 1RM was the lowest. Predictive equations of elbow joint maximal flexion strength between isometric and isokinetic contraction, between isometric contraction and 1RM, among isometric contraction, 1RM, and body weight were developed. In conclusion, 1RM and isokinetic elbow joint maximal flexion strength could be seemed to underestimate the practical elbow joint maximal flexion strength. And it is suggested that the developed predictive equations in this study should be useful in criteria- and goal-setting for resistant exercise and sports rehabilitation after elbow joint injury.

The Correlation of the Area of the Base of Support with the Maximal Voluntary Isometric Contraction of Upper Limb Muscles (기저면의 넓이와 상지 근육의 최대 수의적 등척성 수축의 상관관계)

  • Lee, Sang-Yeol;Jo, Marg-Eun
    • PNF and Movement
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    • v.14 no.1
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    • pp.49-52
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    • 2016
  • Purpose: The purpose of the present study was to examine the effects of the area of the base of support formed by the human body on the maximal voluntary isometric contraction of upper limb muscles. Methods: The study was conducted with 20 normal adults. To identify changes in the base of support, the maximal voluntary isometric contraction of the biceps muscle was measured in a standing position, a sitting position, and a lying position for each subject. The sizes of the base of support formed in the standing, sitting, and lying positions were set to 1, 2, and 3 respectively, based on the sizes, to analyze the correlations. The maximal voluntary isometric contraction of the biceps muscle was measured using surface electromyograms (EMGs) (Noraxon DTS, Germany). Results: The results showed negative correlations in which, as the size of the base of support increased, the maximal voluntary isometric contraction of the biceps muscle decreased. Conclusion: Changes in the base of support of the body affect the maximal voluntary isometric contraction of the upper limbs. Therefore, when resistance exercises are applied for muscle strengthening, the positions should be changed considering the changes in muscle activity according to those positions. In addition, when EMGs are used to measure the maximal voluntary isometric contraction, the measurements should be conducted in the same positions, considering muscle activity that changes according to the base of support and positions, for data quantification.

A STUDY OF THE CHANGES OF THE TOOTH MOBILITY AND MAXIMAL BITE FORCE FOLLOWING INITIAL THERAPY (초기치료 시행 후 치아동요도와 교합력의 변화에 관한 연구)

  • Jeong, Hyo-Sun;Lee, Man-Sup
    • Journal of Periodontal and Implant Science
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    • v.23 no.3
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    • pp.526-534
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    • 1993
  • The purpose of this study was to evaluate the changes of the tooth mobility and maximal bite force over 4 weeks following initial therapy on the periodontal disease. Tooth mobility and maximal bite force due to change of viscoelastic property of periodontium were influenced by inflammation of periodontal tissue. 10 patients with the chronic adult periodontitis participated in this study. Each tooth was divided into anterior areas, premolar areas and molar areas. Tooth mobility was tested using Periotest(Siemens Co. Germany) and maximal bite force was evaluated with MPM-3000(Nihon kohden Co. Japan). Tooth mobility and maximal bite force were recorded at the initial examination, 1, 2, 3 and 4 weeks following initial therapy. All data were analyzed statistically. The obtained results were as follows ; 1. The changes of the tooth mobility following initial therapy were generally decreased in maxilla, showing the significant decrease at 1 and 4 weeks on premolar areas (p<0. 05). 2. The changes of the tooth mobility following initial therapy were generally decreased in mandible, however this changes were not statistically significant. 3. The changes of the maximal bite force following initial therapy in maxilla were significantly increased at 3 and 4 weeks on anterior areas, at 4 weeks on premolar areas (p<0. 05). These were decreased at 1 week on molar areas, but generally increasing with time. 4. The changes of the maximal bite force following initial therapy in mandible were significantly increased at 3 and 4 weeks on anterior areas (p<0. 05, p<0. 01). These were decreased at 1 week on premolar but molar areas, and generally increasing with time. 5. As tooth mobility increased, maximal bite force decreased with significance (p<0. 01), and they had high negative correlation on anterior areas but low negative correlation on premolar and molar areas.

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