• Title/Summary/Keyword: P-space

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FOURIER TRANSFORM OF ANISOTROPIC MIXED-NORM HARDY SPACES WITH APPLICATIONS TO HARDY-LITTLEWOOD INEQUALITIES

  • Liu, Jun;Lu, Yaqian;Zhang, Mingdong
    • Journal of the Korean Mathematical Society
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    • v.59 no.5
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    • pp.927-944
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    • 2022
  • Let $\vec{p}{\in}(0,\;1]^n$ be an n-dimensional vector and A a dilation. Let $H^{\vec{p}}_A(\mathbb{R}^n)$ denote the anisotropic mixed-norm Hardy space defined via the radial maximal function. Using the known atomic characterization of $H^{\vec{p}}_A(\mathbb{R}^n)$ and establishing a uniform estimate for corresponding atoms, the authors prove that the Fourier transform of $f{\in}H^{\vec{p}}_A(\mathbb{R}^n)$ coincides with a continuous function F on ℝn in the sense of tempered distributions. Moreover, the function F can be controlled pointwisely by the product of the Hardy space norm of f and a step function with respect to the transpose matrix of A. As applications, the authors obtain a higher order of convergence for the function F at the origin, and an analogue of Hardy-Littlewood inequalities in the present setting of $H^{\vec{p}}_A(\mathbb{R}^n)$.

Blood flow velocity in the anterior humeral circumflex artery and tear size can predict synovitis severity in patients with rotator cuff tears

  • Takahiro Machida;Takahiko Hirooka;Akihisa Watanabe;Hinako Katayama;Yuki Matsukubo
    • Clinics in Shoulder and Elbow
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    • v.27 no.1
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    • pp.11-17
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    • 2024
  • Background: Rotator cuff tears are often associated with synovitis, but the ability of noninvasive ultrasonography to predict the severity of synovitis remains unclear. We investigated whether ultrasound parameters, namely peak systolic velocity in the anterior humeral circumflex artery and Doppler activity in the glenohumeral joint and subacromial space, reflect synovitis severity. Methods: A total of 54 patients undergoing arthroscopic rotator cuff repair were selected. Doppler ultrasound was used to measure peak systolic velocity in the anterior humeral circumflex artery and Doppler activity in the glenohumeral joint and subacromial space, and these values were compared with the intraoperative synovitis score in univariate and multivariate analyses. Results: Univariate analyses revealed that tear size, peak systolic velocity in the anterior humeral circumflex artery, and Doppler activity in the glenohumeral joint were associated with synovitis in the glenohumeral joint (P=0.02, P<0.001, P=0.02, respectively). In the subacromial space, tear size, peak systolic velocity in the anterior humeral circumflex artery, and Doppler activity in the subacromial space were associated with synovitis severity (P=0.02, P<0.001, P=0.02, respectively). Multivariate analyses indicated that tear size and peak systolic velocity in the anterior humeral circumflex artery were independently associated with synovitis scores in both the glenohumeral joint and the subacromial space (all P<0.05). Conclusions: These findings demonstrate that tear size and peak systolic velocity in the anterior humeral circumflex artery, which can both be measured noninvasively, are useful indicators of synovitis severity.

METRICS ON A SPLIT NORMED ALMOST LINEAR SPACE

  • Lee, Sang-Han
    • Journal of applied mathematics & informatics
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    • v.11 no.1_2
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    • pp.365-371
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    • 2003
  • In this paper, we introduce metrics d, p and ${\mu}$ on a normed almost linear space (X, III.III). And we prove that above three metrics are equivalent if a normed almost linear space X has a basis and splits as X = W$_X$ + V$_X$.

Reliability and Concurrent Validity of the Balance Evaluation using Space Balance 3D and Tinetti Mobility Test in Subacute Stroke Patients (아급성 뇌졸중 환자에서 Space Balance 3D와 Tinetti Mobility Test를 이용한 균형 능력 평가의 신뢰도 및 동시타당도 연구)

  • Choi, Ji-Min;Lee, Jong-Hoon;Ha, Hyun-Geun;Kim, Yang-Gu;Kim, Yun-Hee;Bae, Young-Hyeon
    • The Journal of the Korea Contents Association
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    • v.12 no.8
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    • pp.264-273
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    • 2012
  • The purpose of this study was to determine the test-retest reliability and the concurrent validity between tinetti mobility test (TMT), berg balance scale (BBS) and space balance 3D which is one of the computerized measurement and visual feedback balance assessment system in subacute stroke patients. Twenty three ambulatory acute stroke subjects were measured the TMT, BBS and space balance 3D. The test-retest reliability(intra-class correlation coefficient: ICC) indicated that the static and dynamic balance in space balance 3D considered moderate reliability and TMT, BBS were good reliability. In case of concurrent validity, there were moderate validity (p<.01) between static balance test with space balance 3D and each TMT, BBS. But there were only poor validity (p<.05) between center to forward-left, center to backward-left phase in dynamic balance test with space balance 3D and each TMT, BBS. These findings suggest that in subacute stroke patients the test-retest reliability and concurrent validity using the space balance 3D and TMT were valuable in balance test but there was limitation to evaluate dynamic balance test.

Vegetation Structure and Management Planning of Mountain Type Urban Green Space in Inchon, Korea : a case study of land area (인천광역시 산지형 도시녹지의 식생구조 및 관리계획: 육지지역을 중심으로)

  • Cho, Woo
    • Journal of the Korean Institute of Landscape Architecture
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    • v.26 no.2
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    • pp.15-27
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    • 1998
  • The purposes of this study were to investigate vegetation structure and present management planning of mountain type green space using the green space changes during the 20 years, actual vegetation, and plant community structure in land area of Inchon, Korea. The actual vegetation area in survey sites was consisted of Quercus acutissima community, Robinia pseudoacacia forest, Pinus rigida forest, Q. mongolica-Pinus rigida community, P. rigida-Q. mongolica community, Q. monogolica community and so on. According to the classification by TWINSPAN, 61 survey plots were divided into 9 groups; Q. mongolica-Alnus japonica-R. pseudoacacia-P. densiflora, R. pseudoacacia-Styrax japonica, P. rigida-R. pseudoacacia-Q. mongolica, R. pseudoacacia-P. rigida-Q. mongolica-A. hirusta, Q. mongolica-P. thunbergii, and prunus sargentii-Zelkova serrata community. From this result, ecological succession trend of vegetation seems to be change from artificial result, ecological succession trend of vegetation seems to be change from artificial planting forest to native plant community which was dominated by Quercus spp.. This study area need to manage for the increase of biodiversity through the restoration of naturalness by ecological management of artificial planting forest and ecological planting of injured green space.

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DEEP-South: P/2000 XO8 shows its true colors (P/2000 XO8 본색을 드러내다)

  • JeongAhn, Youngmin;Kim, Dong-Heun;Lee, Hee-Jae;Choi, Young-Jun;Moon, Hong-Kyu;Lee, Sang Min
    • The Bulletin of The Korean Astronomical Society
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    • v.43 no.1
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    • pp.42.2-42.2
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    • 2018
  • 고전적인 소행성과 혜성의 경계는 무너지고 있다. 처음 발견했을 때는 소행성으로 분류됐던 천체도, 예기치 않은 활동성이 나타나면 혜성의 일원이 된다. 소행성은 충돌이나 회전가속에 의해 갑자기 활동성을 나타내기도 하지만, 강한 태양복사를 견디지 못하고 오랜 시간 간직해온 휘발성 물질을 우주 공간으로 흩뿌리기도 한다. 한국천문연구원 딥사우스 (DEEP-South) 팀은, 이렇게 태양 근방에서 혜성으로 탈바꿈할 것으로 예상되는 소행성으로 2000 XO8을 지목하고, 근일점을 막 지난 2017년 10월 말부터 KMTNet 망원경으로 약 한 달간 지속 관측을 하였다. 이 기간 동안 2000 XO8은 활동성이 급격히 증가하여 선명한 꼬리를 나타냈고, 이내 검출 한계 이하로 활동성이 줄어드는 것까지 확인하였다. 이번에 혜성으로 밝혀진 2000 XO8은 한국인 또는 한국 기관에서 새로 발견 및 동정한 것으로 알려진 혜성 중에 그 주기가 8.8년으로 가장 짧다. 이는 궤도장반경이 목성보다 안쪽에 위치한다는 점에서 이례적인 일이다. 우리는 궤도 실험을 통해 2000 XO8이 현 궤도에 자리 잡은 지 오래 되지 않았으며, 또 다른 주기 혜성 265P/LINEAR에서 쪼개져 나온 조각일 가능성을 제시하고자 한다.

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Influence of Applying Loads on Subacromial Space Interval during Shoulder Abduction in Young Men (젊은 남성에서 부하 적용이 어깨 벌림 동안 봉우리밑 공간 간격에 미치는 영향)

  • Park, Kanghui;Park, Hankyu;Park, Sookyoung
    • Journal of The Korean Society of Integrative Medicine
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    • v.8 no.1
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    • pp.169-175
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    • 2020
  • Purpose : This study was performed to comparison of distance change of subacromial space according to shoulder abduction angle in loaded and unloaded conditions. Methods : The subjects were 20 male college students, and the subacromial space was measured using an ultrasound diagnostic apparatus. The participants shoulder abduction was measured during each shoulder resting position and 45 ° abduction with loads of 1 kg, 2 kg, 3 kg. The collected data were analyzed by a paired t-test and repeated measure ANOVA with the SPSS (Ver. 22) program. Results : The subacromial space showed statistically significant decreased in 45 ° abduction than resting position (p<.001). All the subacromial space increased during the according to loads (1 kg, 2 kg, 3 kg) at the resting position but at 45 ° abduction showed statistically significant decreased as the load increases (p<.05). Also, subacromial space showed significant changes in the 2kg, 3kg compared with the 0kg loads. Conclusion : These results identified that shoulder abduction angle and load were related to subacromial space. When resting position, subacromial space is larger at loads than unload. As the load and shoulder abduction angle increase, subacromial space is reduced compared to resting.

A study on the Evaluation Methodology of Attention to V.P in Commercial Mall Space - Proposal of an Evaluation Method through the application of Feng-GUI and Space Syntax - (상업 몰(mall)공간에서 V.P의 주목도 평가방법에 관한 연구 - Feng-GUI와 space syntax를 적용한 평가방법 제안 -)

  • Lee, Ji-Sung;Moon, Jung-Mook
    • Korean Institute of Interior Design Journal
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    • v.20 no.5
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    • pp.51-58
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    • 2011
  • As it gets nearer to the modern society, social and cultural situations are changing and the spatial form of public space is changing into the complex structure where it is interlinked with each other diversely. In particular, as the development of large-scale complex spreads nationwide, the form of complex commercial space assuming the nature of malls appears prominently. In such a large-scale complex commercial space, the diverse visual elements make the environment difficult to be perceived. Like this, the attention in the commercial space where a variety of visual stimuli are in the presence, is important element, so the plan of VP(visual presentation) is needed for effectively selecting or inducing the space. Thus, in this study, human visual and perception process will be reviewed and a method to evaluate the attention will be proposed. Also, the attention of each stores in the complex commercial spaces will be evaluated to propose the indicators for resonable spatial panning in the future.

A Study on the behaviour of Cavitation erosion and lubricating Oils and the influence of Corrosion on Slide Bearing Metals for Internal combustion Engine (내연기관용 슬라이드 베어링재의 케비테이션 침식거동과 부식영향 및 윤할유의 거동에 관한 연구)

  • Lee, Jin-Yeol;Im, U-Jo
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.28 no.2
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    • pp.171-183
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    • 1992
  • In this paper, the behaviour of cavitation erosion, influence of corrosion and corrosion control on slide bearing metals for internal combustion engine were investigated, and this experiment was done by the vibratory cavitation erosion tester. The main results obtained are as follows: 1. With decreasing the space between horn and specimen, the weight loss and its rate increased step by step. But the weight loss and its rate of 0.2mm space decreased conversely more than that of 0.4mm space at early stage. 2. The weight loss and its rate with change of pH were appeared to the order of pH2>pH12>pH7>pH4. And the weight loss and its rate at pH 4 decreased at best. 3. The weight loss and its rate by cavitation erosion for bearing metals were shown to the order of W.M7>W.M1>K.M4. 4. There appeared mainly small pit hole at pH2, and appeared the pit of netting thread type at pH12 by the results of the damaged surfaces at pH2 and pH12 environments that were sensitive to cavitation erosion. 5. With increasing the viscosity of lubricating oil, the weight loss rate by cavitation erosion became dull at the space below 0.5mm. 6. The protective efficiency of cavitation erosion-corrosion is superior inhibitor of chormate(25 ppm) to cathodic protection.

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