• Title/Summary/Keyword: (r - 1)-maximal

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MAXIMAL INEQUALITIES AND STRONG LAW OF LARGE NUMBERS FOR AANA SEQUENCES

  • Xuejun, Wang;Shuhe, Hu;Xiaoqin, Li;Wenzhi, Yang
    • Communications of the Korean Mathematical Society
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    • v.26 no.1
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    • pp.151-161
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    • 2011
  • Let {$X_n$, $n{\geq}1$} be a sequence of asymptotically almost negatively associated random variables and $S_n=\sum^n_{i=1}X_i$. In the paper, we get the precise results of H$\acute{a}$jek-R$\acute{e}$nyi type inequalities for the partial sums of asymptotically almost negatively associated sequence, which generalize and improve the results of Theorem 2.4-Theorem 2.6 in Ko et al. ([4]). In addition, the large deviation of $S_n$ for sequence of asymptotically almost negatively associated random variables is studied. At last, the Marcinkiewicz type strong law of large numbers is given.

AN IDEAL-BASED ZERO-DIVISOR GRAPH OF 2-PRIMAL NEAR-RINGS

  • Dheena, Patchirajulu;Elavarasan, Balasubramanian
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.6
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    • pp.1051-1060
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    • 2009
  • In this paper, we give topological properties of collection of prime ideals in 2-primal near-rings. We show that Spec(N), the spectrum of prime ideals, is a compact space, and Max(N), the maximal ideals of N, forms a compact $T_1$-subspace. We also study the zero-divisor graph $\Gamma_I$(R) with respect to the completely semiprime ideal I of N. We show that ${\Gamma}_{\mathbb{P}}$ (R), where $\mathbb{P}$ is a prime radical of N, is a connected graph with diameter less than or equal to 3. We characterize all cycles in the graph ${\Gamma}_{\mathbb{P}}$ (R).

ON REGULAR-QUASICONFORMAL MAPPINGS

  • Shin, Yong-Soon
    • The Pure and Applied Mathematics
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    • v.2 no.2
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    • pp.111-114
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    • 1995
  • A C$\^$$\infty$/ manifold is a pair (M, C) where a) M is a Hausdorff topological space such that every point $\chi$$\in$M has a neighborhood homeomorphic to an open subset of R$^n$. b) C is a collection of these homeomorphisms whose domains cover M. If ø, $\psi$ $\in$ C then ø o $\psi$$\^$-1/ is C$\^$$\infty$/. c) C is maximal with respect to (b).(omitted)

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AN ELECTROMYOGRAPHIC INVESTIGATION OF MASTICATORY MUSCLES IN NORMAL OCCLUSION AND CLASS II MALOCCLUSION (저작근 근전도에 관한 정상교합자와 II급 부정교합자의 비교 연구)

  • Kim, Yeon-Kyung;Lee, Ki-Soo;Park, Young-Guk
    • The korean journal of orthodontics
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    • v.22 no.2 s.37
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    • pp.389-412
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    • 1992
  • Along with form and function relationship of craniofacial growth comes a concern for the masticatory muscles with postnormal occlusion. It is the aim of this study to grope the certain differences upon the electromyographic activities of the masticatory muscles between normal occlusion and class II malocclusion during the varieties of oral functions. 26 persons of normal occlusion whose mean age were 18.9-25.6 years and another 26 persons of class II malocclusion whose mean age were 19.0-28.9 years served for this study. The electromyographic recordings processed by $Medelec^{\circledR}$ MS 25 EMG apparatus were taken from the anterior and posterior temporal, and anterior and posterior masseter muscles of both sides, and suprahyoid muscles as well. Analyses of the data toward such specific activities as mandibular rest, maximal biting, chewing gums and swallowing peanuts turned out the following summary and conclusions. 1. The maximal mean amplitude of the posterior temporalis showed significant augmentation in class II malocclusion, however the anterior temporalis, posterior masseter, and suprahyoid muscles manifested meaningful diminutions. 2. Stronger posterior temporalis and weaker anterior masseter and suprahyoid muscles were arranged in maximal biting with parameters of maximal mean amplitude. 3. The anterior temporalis of working side expressed smaller maximal mean amplitude in class II malocclusion. Significant swelling in duration were shown at anterior and posterior temporalis of working side, and posterior temporalis of balancing side in class II malocclusion, and marked reduction at anterior masseter of balancing side and posterior masseter of working side as well. The lessened latency were expressed at anterior masseter of working side, and anterior and posterior masseter of balancing side. Class II malocclusion group had significant prolongation of silent period duration. Mean silent period duration of 10.75 msec in normal occlusion and 24.37 msec in class II malocclusion were calculated. 4. Significant augmentations of maximal mean amplitude while swallowing peanuts were yielded at right anterior temporalis and posterior temporalis of both sides, however left anterior masseter and right posterior masseter showed diminution. No significant differences in duration showed at every muscle examined in class II malocclusion group.5. Weaker masseter and stronger temporalis were suggested as characteristics of class II malocclusion.

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A Study of the Correlation between Social Support and Stress in the Pregnant Women (임신부가 지각한 사회적 지지와 스트레스에 관한 상관관계 연구)

  • 서연옥
    • Journal of Korean Academy of Nursing
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    • v.17 no.2
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    • pp.153-161
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    • 1987
  • This descriptive-correlational study was conducted to recognize the relational between the Perceived social support and stress in pregnant women. The subject were comprised of 154 patients who were at 24 weeks over, and data were collected by way of questionnairs at K-university hospital in Seoul during 23 days (November 21, 1986 to December 13, 1986). The result of this study may be summerized as follows. 1) The degrees of the support from situation perceived by pregnant women were: the minimal 20 feints, the maximal 61 points and the mean 40.42 feints. 2) The degrees of stress perceived by pregnant women were: the minimal 32 points, the maximal 109 points and the mean 65.49 points. 3) The results of hypotheses were: the first hypothesis was not supported that the higher the degree of social support from situation perceived by pregnant women, the lower that of stress(r= -0.01129, p=0.8895) the second was supported that the higher the degree if support perceived indirectly by pregnant women, the lower that of stress(r= -0.23832, p=0.0029). the third was supported that the higher the degree of support perceived directly by pregnant women, the lower that of stress. (r= -0.36019, p=0.0001) 4) The fourth shows that in the relationships between the characteristics of socio-popualtion and obstetrics and the degree of social support, there was significant difference; i) the support from situation differs in learning (t= -2.178, p<.05), and satisfaction of marriage (F=5.06, p<.01) ii) the support perceived indirectly differs in learning (t= -3.065, p<.01), month of pregnant(F= 2.78, p <.05), satisfaction of marriage (F=20.08, p<.001) and forms of family (t=2.11, p<.05) iii) the support perceived directly differs in satisfaction of marriage (F=21.00, p <.001) and forms of family (t=2.11, p<.05) 5) the fifth shows that in the relationship between the characteristics of sociopopulation and obstetrics and stress, the degree of satisfaction of marriage only shows the significant statistical difference(F= 0.40, p<.01) 6) The sixth shows that the factor affecting the stress of pregnant women was the support perceived directly and its explanatory power was 12.9%.

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Synthesis and anticonvulsant evaluation of a series of (R)-and (S)-N-Cbz-.alpha.-aminosuccinmide and their structure activity relationship

  • Lee, Jae-Won;Choi, Jong-Won;Park, Min-Soo
    • Archives of Pharmacal Research
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    • v.19 no.4
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    • pp.312-316
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    • 1996
  • A series of N-Cbz${alpha}$-aminosucinimides (1), combining common moieties of various anticonvulsants such as N-CO-C-N and cyclic imide in a single molecule, were synthesized from the corresponding (R)- and (S)-N-Cbz-aspartic acid (2). And their in vivo anticonvulsant evaluations in MES and PTZ test were investigated. And also the rotorod test for neurotoxicity was investigated. All the tested compounds (1), except 1c and 1f, showed significant anticonvulsant activities in both MES and PTZ test. And the most active compound among them in MES test was (R)-N-Cbz-${alpha}$-amino-N-methylsuccinimide (1b) $(ED_50/=52.5 mg/kg)$ and (S)-N-Cbz-aminosuccinimide((1d) was most active in PTZ test $(ED_50/=78.1 mg/kg)$. And the $TD_50$ values of the tested compounds were above 117.5 mg/kg. These pharmacological data were comparable to those of currently available anticonvulsants. And also we found that the pharmacological effects were dependent on their N-substituted alkyl chains and their stereochemistry.

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Correlation Between Muscle Strength, Pulmonary Function and Respiratory Muscle in Children with Cerebral Palsy (뇌성마비 아동의 근력과 호흡기능의 상관관계)

  • Shin, Seung-Oh;Kim, Nan-Su
    • Journal of the Korean Society of Physical Medicine
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    • v.11 no.2
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    • pp.123-130
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    • 2016
  • PURPOSE: This study was conducted to determine correlations between grip and lower limb muscle strength and pulmonary function and respiratory muscle in children with cerebral palsy. METHODS: Subjects were 17 children with cerebral palsy. Inclusion criteria for participation were having GMFCS from I to III grade and ability to independently blow into a spirometer. Pulmonary function and respiratory muscle were measured with a spirometer. All subjects performed maximal expiratory flow maneuvers using a spirometer in order to determine their forced expiratory volume in 1 second (FEV1), forced vital capacity (FVC), peak expiratory flow (PEF) and FEV1/FVC, and maximum inspiratory pressure (MIP) and maximum expiratory pressure (MEP). Muscle strength was measured in terms of grip strength and lower limb muscle strength in terms of knee extension strength with a dynamometer and manual digital muscle tester respectively. Data were analyzed using Person product correlation. RESULTS: Grip strength significantly positively correlated with FVC (r=0.95, p<0.01), FEV1 (r=0.95, p<0.01), PEF (r=0.84, p<0.01), MIP (r=0.65, p<0.01) MEP (r=0.71, p<0.01) and lower limb strength with FVC (r=0.72, p<0.01), FEV1 (r=0.69, p<0.01), PEF (r=0.54, p<0.05), and MEP (r=0.69, p<0.01). CONCLUSION: Grip and lower limb muscle strengths of children with cerebral palsy were positively correlated pulmonary function and respiratory muscle.

On Comaximal Graphs of Near-rings

Bite Force, Occlusal Contact Area and Occlusal Pressure of Patients with Temporomandibular Joint Internal Derangement (측두하악관절 내장증 환자의 교합력, 교합 접촉 면적 및 교합압)

  • Kim, Ki-Seo;Choi, Jong-Hoon;Kim, Seong-Taek;Kim, Chong-Youl;Ahn, Hyung-Joon
    • Journal of Oral Medicine and Pain
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    • v.31 no.3
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    • pp.265-274
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    • 2006
  • Temporomandibular joint (TMJ) internal derangement, especially disc displacement with reduction (DDwR) is the most common TMJ arthropathy and has been thought to do some effects on masticatory performance. Measuring of maximal bite force has been widely used as objective and quantitative method of evaluating masticatory performance, but previous studies showed various results due to various characteristics of subjects and different measuring devices and techniques. In a few studies about the correlation of bite force and temporomandibular disorders (TMD), some authors reported that bite force and masticatory performance would be reduced in patients with TMD because of pain. But the correlation of changes in structure of articular disc and masticatory performance has not been well investigated yet. In this study, to investigate the influences of non-painful disc change on the masticatory performance, we measured the value of maximal bite force, occlusal contact area and occlusal pressure of 39 patients with non-painful DDwR of the TMJ using pressure sensitive film, and compared it with that of 59 controls. The results are summarized as follows: 1. The maximal bite force (P<0.01) and the occlusal contact area (P < 0.05) of the DDwR patients were greater than the controls. 2. There was no significant difference in occlusal pressure between the DDwR patients and the controls (P > 0.05). 3. The maximal bite force of the male group was greater than that of the female group (P < 0.05). However, the occlusal contact area and the occlusal pressure between the male and the female group didn't show significant difference (P > 0.05). From the results above, we can suggest that DDwR could be a factor of changing bite force, but more controlled, large scaled and EMG related further study is needed.

Analysis of occlusal contact and guidance pattern during maximal intercuspal position and protrusive movement (최대교두감합위 및 하악 전방운동 시의 교합접촉 및 교합유도 양상에 관한 분석)

  • Kim, Jiyeon;Kim, Kang-Hyun;Noh, Kwantae;Kim, Hyeong-Seob;Woo, Yi-Hyung;Pae, Ahran
    • The Journal of Korean Academy of Prosthodontics
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    • v.51 no.3
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    • pp.199-207
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    • 2013
  • Purpose: The importance of occlusal contacts of the natural dentition for durability of teeth, mandibular stabilization, and restorative dentistry is well known. The purpose of this study is to analyze the occlusal contact and guidance pattern of Koreans by evaluating the static occlusion on maximal intercuspal position and measuring dynamic occlusion during straight protrusion. Materials and methods: The occlusal contacts at maximal interincisal position and the occlusal guidance pattern during straight protrusion of 29 subjects were recorded with shimstock foil (Whaledent, Langenau, Germany), T-Scan III (Tekscan Inc., Boston, MA, USA), polyvinylsiloxane registration material (Genie Bite, Sultan Healthcare, Hackensack, NJ, USA) and compared. Occlusal registration procedures were repeated 3 times. The position was fixed to an upright position and the head position was fixed with the Frankfurt horizontal plane paralleling the horizontal plane. Fisher's Exact Test (R-General Public License, ver. 2.14.1) and Pearson's Test were used to assess the significance level of the differences between the experimental groups (${\alpha}=.05$). Results: When using shimstock foil, T-Scan III system, and polyvinylsiloxane registration material, most of the patients showed contact on anterior, premolar, and molar teeth during maximal intercuspal position. Approximately 51% of maximal intercuspal position showed anterior contact using shimstock foil. When examining the protrusive movement using shimstock foil and T-Scan III system, guidance pattern with the central incisor was the most common. Conclusion: During maximal intercuspal position, there were cases in which not all of the teeth showed occlusal contact. During mandibular protrusive movements, one or more maxillary central incisors frequently joined in straight protrusion and the posterior teeth were disoccluded. Therefore, the anterior teeth protect the posterior teeth, and vice versa. Thus, mutually protected occlusion should be applied when reconstructing occlusion.