• Title/Summary/Keyword: Area Function

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POINTWISE ESTIMATES AND BOUNDEDNESS OF GENERALIZED LITTLEWOOD-PALEY OPERATORS IN BMO(ℝn)

  • Wu, Yurong;Wu, Huoxiong
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.851-864
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    • 2015
  • In this paper, we study the generalized Littlewood-Paley operators. It is shown that the generalized g-function, Lusin area function and $g^*_{\lambda}$-function on any BMO function are either infinite everywhere, or finite almost everywhere, respectively; and in the latter case, such operators are bounded from BMO($\mathbb{R}^n$) to BLO($\mathbb{R}^n$), which improve and generalize some previous results.

A Study on the Relation between Occlusal Wear Area and Occlusal Contact Patterns (교모면적과 교합접촉양태 간의 관계에 대한 연구)

  • Se-Sook Kang;Kyung-Soo Han
    • Journal of Oral Medicine and Pain
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    • v.19 no.2
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    • pp.153-168
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    • 1994
  • The aim of the present study was to investigate a relation between occlusal wear area and occlusal contact patterns. For the purpose, occlusal wear area were measured in 58 dental students and in 129 patients with temporomandibular disorders(TMDs) from dental casts. Teeth used in this study were from canine to second molar on both sides in upper arch, totally ten. Occlusal wear area on casts was marked by pencil and photocopies, and then, the area was measured with planimeter. Occlusal relation was clinically examined with regard to Angle's classification, chewing side preference, lateral guidance pattern and bruxing and/or clenching habit. T-Scan, electronic occlusal contact analyzer, was used to record occlusal contact number, contact force, contact time and occlusal balance that is TLR(total left-right statistics) during tooth contact. All measurement were repeated 3 times and the average value was used for data processing. The obtained results were as follows : 1. Mean value of occlusal wear area did not differ significantly between dental students and patients. 2. There ws not significant difference in wear area between chewing side and non-chewing side in both groups. 3. Occlusal wear area was significantly increased with age in both groups. 4. Three subgroups divided by Angle's classification did not show any difference in occlusal wear area among them, but three subgroups divided by lateral guidance pattern showed slightly significant difference between canine guide subgroup and group function subgroup in patients. Occlusal wear ares\a in group function subgroup wear larger than canine guide subgroup. 5. Mean value of wear area in patients with bruxing and/or clenching habit did not differ from those in patients without such habit. 6. Correlationship among items related to occlusal contact pattern were highly consistent and significant in dental students and only one item significantly correlated with occlusal wear area was tooth contact time.

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A method of nonlinear optimal regulator using a Liapunov-like function

  • Kawabata, Hiroaki;Shirao, Yoshiaki;Nagahara, Toshikuni;Inagaki, Yoshio
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1060-1065
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    • 1990
  • In general it is difficult to determine a Liapunov function for a given asymptotically stable, nonlinear differential equations system. But, in the system with control inputs, it is feasible to make a given positive function, except for a small area, globally satisfy the conditions of the Liapunov function for the system. We call such a positive function a Liapunov-like function, and propose a method of nonlinear optimal regulator using this Liapunov-like function. We also use the periodic Liapuitov-like friction that suits the system whose equilibrium points exist periodically. The relationship between the Liapunov function and cost function which this nonlinear regulator minimizes is considered using inverse optimal method.

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Estimating Suitable Probability Distribution Function for Multimodal Traffic Distribution Function

  • Yoo, Sang-Lok;Jeong, Jae-Yong;Yim, Jeong-Bin
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.21 no.3
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    • pp.253-258
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    • 2015
  • The purpose of this study is to find suitable probability distribution function of complex distribution data like multimodal. Normal distribution is broadly used to assume probability distribution function. However, complex distribution data like multimodal are very hard to be estimated by using normal distribution function only, and there might be errors when other distribution functions including normal distribution function are used. In this study, we experimented to find fit probability distribution function in multimodal area, by using AIS(Automatic Identification System) observation data gathered in Mokpo port for a year of 2013. By using chi-squared statistic, gaussian mixture model(GMM) is the fittest model rather than other distribution functions, such as extreme value, generalized extreme value, logistic, and normal distribution. GMM was found to the fit model regard to multimodal data of maritime traffic flow distribution. Probability density function for collision probability and traffic flow distribution will be calculated much precisely in the future.

Effects of Aspect and Area Ratio of Fiber on the Accuracy of Intensity Method in Measurement of Fiber Orientation-Angle Distribution (섬유배향각 분포측정에 있어서 농도법의 정밀도에 미치는 섬유종횡비와 면적비의 영향)

  • Lee, S.D.;Kim, H.;Lee, D.G.;Han, G.Y.;Kim, E.G.
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.4
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    • pp.953-959
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    • 1998
  • To investigate accuracy of intensity method for measurement of the fiber orientation distribution, fiber orientation function is calculated by drawing simulation figures for the fiber orientation as varying fiber aspect ratio, fiber area ratio, and fiber orientation state, respectively. The values of fiber orientation function measured by intensity method are compared with the calculated values of fiber orientation function. The results show that measurement accuracy of the fiber orientation angle distribution by intensity method is affected by the fiber aspect ratio when the total length of oriented fiber is same. The average gradient of fiber orientation function is 0.94 for 1000mm of the total fiber length and is 0.93 for 2000 mm when the fiber aspect ratio is over 50. Measurement accuracy by intensity method is about 94% and the reliable data can be obtained by intensity method.

An Algorithm on Function Hazard Elimination for Asynchronous Circuit Synthesis (비동기 회로 합성을 위한 펑션 해저드 제거 알고리듬)

  • 유광기;정정화
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.36C no.10
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    • pp.47-55
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    • 1999
  • In this paper, a new function hazard elimination algorithm is proposed for asynchronous circuit synthesis. In previous approach, function hazard is eliminated by using state graph which is obtained from the state assignment on STG(signal transition graph) representing transition relationship among signals. These algorithms can use conventional hazard removal and synthesis method applied in synchronous system, but it has much computational complexity and takes much time to handle the state graph. Although some hazard elimination algorithm from STG were proposed, it could not reduce the area overhead due to the addition of new signals. The proposed algorithm eliminate function hazard directly on STG and also control the number of minterms and product-term of added signal in order to minimize the area overhead. Experimental results on benchmark data shows that overall circuit area after hazard elimination is decreased about 15% on the average than that of previous method.

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Local Work-function Variation of the Initial Oxidation-Stages of Si(111)-7${\times}$7 (Si(111)-7${\times}$7 표면의 초기산화 단계에서의 국부 일함수 변화)

  • Im, Sam-Ho;Gu, Se-Jeong;Kim, Gi-Jeong;Park, Chan;Seo, Jae-Myeong
    • Journal of the Korean Vacuum Society
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    • v.2 no.2
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    • pp.166-170
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    • 1993
  • In the initial stages of oxidation of Si(111)-7${\times}$7 held at 40K through exposing molecular oxygen, it has been detected average work-function measured by ultraviolet photoelectron spectroscopy (UPS) is about 0.4eV higher than the local work-function of the modified area measured by photoemission for adsorbed Xenon (PAX). This result indicates that the increment of work-function at the initial oxidation stages of Si(111)-7${\times}$7 is mainly due to the moleculary adsorbed oxygen. From the shift of broadened Xe 5p and Xe 3d, it has also been estimated that the work-function of the modified area is 0.6eV higher than that of the clean area.

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Critical earthquake input energy to connected building structures using impulse input

  • Fukumoto, Yoshiyuki;Takewaki, Izuru
    • Earthquakes and Structures
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    • v.9 no.6
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    • pp.1133-1152
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    • 2015
  • A frequency-domain method is developed for evaluating the earthquake input energy to two building structures connected by viscous dampers. It is shown that the earthquake input energies to respective building structures and viscous connecting dampers can be defined as works done by the boundary forces between the subsystems on their corresponding displacements. It is demonstrated that the proposed energy transfer function is very useful for clear understanding of dependence of energy consumption ratios in respective buildings and connecting viscous dampers on their properties. It can be shown that the area of the energy transfer function for the total system is constant regardless of natural period and damping ratio because the constant Fourier amplitude of the input acceleration, relating directly the area of the energy transfer function to the input energy, indicates the Dirac delta function and only an initial velocity (kinetic energy) is given in this case. Owing to the constant area property of the energy transfer functions, the total input energy to the overall system including both buildings and connecting viscous dampers is approximately constant regardless of the quantity of connecting viscous dampers. This property leads to an advantageous feature that, if the energy consumption in the connecting viscous dampers increases, the input energies to the buildings can be reduced drastically. For the worst case analysis, critical excitation problems with respect to the impulse interval for double impulse (simplification of pulse-type impulsive ground motion) and multiple impulses (simplification of long-duration ground motion) are considered and their solutions are provided.

Effectiveness of Social Prescribing for Preventing Depression and Dementia of the Elderly Living in the Rural Area (농촌 지역 노인 우울증 및 치매 예방을 위한 사회적처방의 효과평가)

  • Jo, Hye Yeon;Lee, Hocheol;Nam, Eun Woo
    • Journal of Korean Academy of Rural Health Nursing
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    • v.18 no.1
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    • pp.1-10
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    • 2023
  • Purpose: This study was to evaluate the effects of a social prescribing program on cognitive function and depression of the elderly in the rural community. Methods: A non-equivalent control group pretest-posttest design was used for this study. The experimental group (n=76) completed a 8-week intervention of social prescribing, while the control group (n=39) only participated in pre- and post- need assessment from April 2021 to October 2022. A Wilcoxon signed rank test was conducted to evaluate the effectiveness of a social prescribing program on the level of cognitive function and depression of the participants. Results: The level of cognitive function was improved significantly in the experimental group (p<.05) while there was no significant change in the control group. Depression has been significantly decreased in the experimental group (p<.01), but there was no statistically significant change in the control group. Conclusion: The results of this study suggest that the social prescribing program is effective for improving cognitive function and reducing depression of the elderly living in the rural area. Therefore, a social prescribing program can be utilized as a preventive program for dementia and depression of the elderly.

CONTINUOUS HAMILTONIAN DYNAMICS AND AREA-PRESERVING HOMEOMORPHISM GROUP OF D2

  • Oh, Yong-Geun
    • Journal of the Korean Mathematical Society
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    • v.53 no.4
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    • pp.795-834
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    • 2016
  • The main purpose of this paper is to propose a scheme of a proof of the nonsimpleness of the group $Homeo^{\Omega}$ ($D^2$, ${\partial}D^2$) of area preserving homeomorphisms of the 2-disc $D^2$. We first establish the existence of Alexander isotopy in the category of Hamiltonian homeomorphisms. This reduces the question of extendability of the well-known Calabi homomorphism Cal : $Diff^{\Omega}$ ($D^1$, ${\partial}D^2$)${\rightarrow}{\mathbb{R}}$ to a homomorphism ${\bar{Cal}}$ : Hameo($D^2$, ${\partial}D^2$)${\rightarrow}{\mathbb{R}}$ to that of the vanishing of the basic phase function $f_{\underline{F}}$, a Floer theoretic graph selector constructed in [9], that is associated to the graph of the topological Hamiltonian loop and its normalized Hamiltonian ${\underline{F}}$ on $S^2$ that is obtained via the natural embedding $D^2{\hookrightarrow}S^2$. Here Hameo($D^2$, ${\partial}D^2$) is the group of Hamiltonian homeomorphisms introduced by $M{\ddot{u}}ller$ and the author [18]. We then provide an evidence of this vanishing conjecture by proving the conjecture for the special class of weakly graphical topological Hamiltonian loops on $D^2$ via a study of the associated Hamiton-Jacobi equation.