• 제목/요약/키워드: $L^p$ space

검색결과 432건 처리시간 0.026초

CONTRIBUTIONS TO THE COSMIC RAY FLUX ABOVE THE ANKLE: CLUSTERS OF GALAXIES

  • KANG HYESUNG;RACHEN JORG P.;BIERMANN PETER L.
    • 천문학회지
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    • 제29권spc1호
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    • pp.271-272
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    • 1996
  • Assuming that particles can be accelerated to high energies via diffusive shock acceleration process at the accretion shocks formed by the infalling flow toward the clusters of galaxies, we have calculated the expected spectrum of high-energy protons from the cosmological ensemble of the cluster accretion shocks. The model with Jokipii diffusion limit could explain the observed cosmic ray spectrum near $10^{19}eV$ with reasonable parameters and models if about $10^{-4}$ of the infalling kinetic energy can be injected into the intergalactic space as the high energy particles.

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Euler-Maruyama Numerical solution of some stochastic functional differential equations

  • Ahmed, Hamdy M.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제11권1호
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    • pp.13-30
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    • 2007
  • In this paper we study the numerical solutions of the stochastic functional differential equations of the following form $$du(x,\;t)\;=\;f(x,\;t,\;u_t)dt\;+\;g(x,\;t,\;u_t)dB(t),\;t\;>\;0$$ with initial data $u(x,\;0)\;=\;u_0(x)\;=\;{\xi}\;{\in}\;L^p_{F_0}\;([-{\tau},0];\;R^n)$. Here $x\;{\in}\;R^n$, ($R^n$ is the ${\nu}\;-\;dimenional$ Euclidean space), $f\;:\;C([-{\tau},\;0];\;R^n)\;{\times}\;R^{{\nu}+1}\;{\rightarrow}\;R^n,\;g\;:\;C([-{\tau},\;0];\;R^n)\;{\times}\;R^{{\nu}+1}\;{\rightarrow}\;R^{n{\times}m},\;u(x,\;t)\;{\in}\;R^n$ for each $t,\;u_t\;=\;u(x,\;t\;+\;{\theta})\;:\;-{\tau}\;{\leq}\;{\theta}\;{\leq}\;0\;{\in}\;C([-{\tau},\;0];\;R^n)$, and B(t) is an m-dimensional Brownian motion.

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NONLINEAR CONTRACTIONS IN PARTIALLY ORDERED QUASI b-METRIC SPACES

  • Shah, Masood Hussain;Hussain, Nawab
    • 대한수학회논문집
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    • 제27권1호
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    • pp.117-128
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    • 2012
  • Using the concept of a g-monotone mapping we prove some common fixed point theorems for g-non-decreasing mappings which satisfy some generalized nonlinear contractions in partially ordered complete quasi b-metric spaces. The new theorems are generalizations of very recent fixed point theorems due to L. Ciric, N. Cakic, M. Rojovic, and J. S. Ume, [Monotone generalized nonlinear contractions in partailly ordered metric spaces, Fixed Point Theory Appl. (2008), article, ID-131294] and R. P. Agarwal, M. A. El-Gebeily, and D. O'Regan [Generalized contractions in partially ordered metric spaces, Appl. Anal. 87 (2008), 1-8].

UNIFORM ATTRACTORS FOR NON-AUTONOMOUS NONCLASSICAL DIFFUSION EQUATIONS ON ℝN

  • Anh, Cung The;Nguyen, Duong Toan
    • 대한수학회보
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    • 제51권5호
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    • pp.1299-1324
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    • 2014
  • We prove the existence of uniform attractors $\mathcal{A}_{\varepsilon}$ in the space $H^1(\mathbb{R}^N){\cap}L^p(\mathbb{R}^N)$ for the following non-autonomous nonclassical diffusion equations on $\mathbb{R}^N$, $$u_t-{\varepsilon}{\Delta}u_t-{\Delta}u+f(x,u)+{\lambda}u=g(x,t),\;{\varepsilon}{\in}(0,1]$$. The upper semicontinuity of the uniform attractors $\{\mathcal{A}_{\varepsilon}\}_{{\varepsilon}{\in}[0,1]}$ at ${\varepsilon}=0$ is also studied.

의공학적 기법에 의한 간암의 검진과 치료경과의 정량 : 칼만 필터링 기법에 의한 초음파 영상 처리 (Bioengineering Approaches to Quantitation of Diagnosis and Treatment Monitoring for Patients with Liver Cancer: Ultrasonic Image Processing by Kalman Filtering)

  • 우광방;남상일
    • 대한의용생체공학회:의공학회지
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    • 제6권1호
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    • pp.5-12
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    • 1985
  • In this paper Kalman filtering technique is applied to ultrasound signal to improve resolution capability, Ivhlch is in use of diagnostic imaging systems. The main advantage of Kalman filter algorithm for the analysis of reflected ultrasound signal is its recursive structure which can be easily adapted to tlme varing system. Because soft-tissues, such as liver, act as distributed acoustic low-pass filters which continually change the propagating pulse. tIne can put to practical use above advantage to find a suitable signal generallng model. In state-space description of the system, the 6th order system produces tl)e 1)esc spectral approximation to the source pulse As a result of spectrum analysis, 6th order estimator for two closely spaced ((p.5 mm) reflectors enhances resolution by 4dB-lOdB. By using this result, the possibility to detect even minute tumor is demonstrated.

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HYDROGEN EMISSION SPECTRA OF QUIESCENT PROMINENCES

  • Kim, Kap-Sung
    • 천문학회지
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    • 제23권1호
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    • pp.71-82
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    • 1990
  • Theoretical calculations of the combined radiative transfer and statistical equilibrium equation including the charge-particle conservations have been earned out for a multilevel hydrogen atom in quiescent prominences. Cool and dense models show the steep changes of population and radiation field in the vicinity of the surface, while these physical quantities remain unchanged for models with temperature of 7,300K, regardless of total densities. Ionization rate of hydrogen atom related with metallic line formation varies in considerable amounts from the surface to the center of model prominences cooler than 6,300K. However, such cool models cannot release enough hydrogen line emissions to explain observed intensities. Prominence models with a temperature higher than 8,000K can yield the centrally reversed Lyman line profiles confirmed by satellite EUV observations. We find that queiscent prominence with a density between $2{\times}10^{11}$ and $10^{12}cm^{-3}$ should be in temperature range between 6,300K and 8,300K, in order to explain consistently observed H alpha, beta line emissions and $n_p/n_l$ ratio.

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The Crystal Structure of Metoclopramide

  • Shin, Whan-chul;Chang, Tai-Sik;Koo, Chung-Hoe
    • Bulletin of the Korean Chemical Society
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    • 제4권3호
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    • pp.123-127
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    • 1983
  • The crystal structure of metoclopramide, $C_14H_22ClN_3O_2$, has been determined by X-ray diffraction techniques using diffractometer data obtained by the ${\omega}-2{\theta}$ scan technique with Mo $K\alpha$ radiation from a crystal with space group symmetry $P{\overline{1}}$ and unit cell parameters a = 7.500(1), b = 8.707(2), c = 13.292(2) ${\AA}$; ${\alpha}$ = 101.70(2), ${\beta}$ = 81.20(2), and ${\gamma}$ = $114.90(l)^{\circ}$. The sructure was solved by direct methods and refined by full-matrix least-squares to a final R = 0.055 for the 1524 observed reflections. The bent overall-conformation of the molecule seems to be determined mainly by the bifurcated intramolecular hydrogen bond from the amide nitrogen atom to the methoxy oxygen and the amine nitrogen atoms. The crystal packing consists of the hydrogen bonds, ${\pi}-{\pi}$ interaction and hydrophobic interaction.

The Crystal and Molecular Structure of Chloramphenicol Base

  • Shin, Whan-Chul;Pyo, Myung_Ho
    • Bulletin of the Korean Chemical Society
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    • 제5권4호
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    • pp.158-162
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    • 1984
  • The crystal structure of chloramphenicol base, $C_9H_{l2}N_2O_4$, the deacylated base of antibiotic chloramphenicol, has been determined by X-ray diffraction techniques using diffractometer data obtained by the ${\omega}-2{\theta}$ scan technique with CuK${\alpha}$ radiation from a crystal with space group symmetry $P2_12_12_1$ and unit cell parameters a = 22.322(6), b = 7.535(6), c = 5.781(5) ${\AA}$. The structure was solved by direct methods and refined by full-matrix least-squares to a final R = 0.051 for the 573 observed reflections. The overall conformation of the base is quite different from those of the chloramphenicol congeners which are similar despite the presence of many rotatable single bonds. The propane chain in the base is bent with respect to the phenyl ring, while it is extended in the chloramphenicol congeners. There is no intramolecular hydrogen bond between the hydroxyl groups of the propanediol moiety. All of the molecules in the crystal lattice are connected by a three-dimensional hydrogen bonding network.

파킨슨씨 병 환자와 정상인의 입각기시간과 상비율의 비교 (Comparison of the Total Stance Time And the Phase Ratio in Parkinson's Disease Patients And Normal Subjects)

  • 김지원;엄광문
    • 대한의용생체공학회:의공학회지
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    • 제27권6호
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    • pp.351-356
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    • 2006
  • The purpose of this study is to investigate the gait characteristics in Parkinson's disease patients. Specifically, the total stance time and the ratio of each stance phase (heel strike, mid-stance, propulsion) are analyzed from the foot-pressure measurement system which requires low cost and small space compared to the conventional gait analysis system. The gait characteristics were analyzed in 23 Parkinson's disease patients (before and after L-dopa medication), 34 elderly (sixties) normal subjects and 21 young (twenties) normal subjects. Bradykinesia global score (self-developed score of slowness of body movement) of patients before medication was determined to see the relationship between the score and the gait characteristics. The total stance time was greater in the erde. of patients, elderly, youngs (p<0.05). The phase ratio of heel strike and propulsion was smaller and that of mid-stance was greater in the order of patients, elderly, youngs (p<0.05). However, there was no significant difference in the above gait characteristics of patients before and after medication. There was a tendency, though statistically non-significant, that the total stance time is longer and the propulsion phase ratio is shorter in patients with greater Bradikinesia global scale, and this tendency was relieved after medication.

갑상선 수술중 반회 후두 신경의 해부학적 고찰 (Anatomical Considerations of the Recurrent Laryngeal Nerve During Thyroidectomy)

  • 서광욱;박정수
    • 대한두경부종양학회지
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    • 제9권2호
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    • pp.183-192
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    • 1993
  • This study reports a prospective analysis of anatomical variations of recurrent laryngeal nerves during 300 thyroidectomies. During thyroidectomies for variable thyroid diseases. the course of recurrent laryngeal nerve was completely isolated from root of neck to the inferior comus of thyroid cartilage. In left side, nerve(53.7%) predominantly ran posterior to the inferior thyroidal artery(p<0.05) but in right side there was no predominant pattern. There were three nonrecurrent laryngeal nerves in the right side. About half of the cases in both sides(51.2% in right, 50.5% in left side) had one or more branches before terminating at cricothyroidal muscles. The average length of branches from inferior comus of thyroid cartilage to the origination of individual branch were l2.0mm in right side and 13.3mm in left side. In right side, majority(50.7%) of nerves ran though paratracheal space but difference did not reach the statistical but in left side, majority(88.3%) ran through tracheoesophageal groove and it was the dominant pattern(p<0.01), the overall status of passages of the nerve were relatively straight in left side(straight 87.8%, oblique 52.1%).

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