• Title/Summary/Keyword: R-function

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Conditional Integral Transforms on a Function Space

  • Cho, Dong Hyun
    • Kyungpook Mathematical Journal
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    • v.52 no.4
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    • pp.413-431
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    • 2012
  • Let $C^r[0,t]$ be the function space of the vector-valued continuous paths $x:[0,t]{\rightarrow}\mathbb{R}^r$ and define $X_t:C^r[0,t]{\rightarrow}\mathbb{R}^{(n+1)r}$ and $Y_t:C^r[0,t]{\rightarrow}\mathbb{R}^{nr}$ by $X_t(x)=(x(t_0),\;x(t_1),\;{\cdots},\;x(t_{n-1}),\;x(t_n))$ and $Y_t(x)=(x(t_0),\;x(t_1),\;{\cdots},\;x(t_{n-1}))$, respectively, where $0=t_0$ < $t_1$ < ${\cdots}$ < $t_n=t$. In the present paper, using two simple formulas for the conditional expectations over $C^r[0,t]$ with the conditioning functions $X_t$ and $Y_t$, we establish evaluation formulas for the analogue of the conditional analytic Fourier-Feynman transform for the function of the form $${\exp}\{{\int_o}^t{\theta}(s,\;x(s))\;d{\eta}(s)\}{\psi}(x(t)),\;x{\in}C^r[0,t]$$ where ${\eta}$ is a complex Borel measure on [0, t] and both ${\theta}(s,{\cdot})$ and ${\psi}$ are the Fourier-Stieltjes transforms of the complex Borel measures on $\mathbb{R}^r$.

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.

New Analytical Approach for Dual-hop AF Relay systems over Rayleigh Fading Channels (레일리 페이딩 채널에 대한 이중 홉 증폭 후 전달 릴레이 시스템의 새로운 분석 기법)

  • Ko, Kyun-Byoung;Seo, Jeong-Tae
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.48 no.8
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    • pp.1-6
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    • 2011
  • In this paper, another analytical approach for dual-hop amplify-and-forward(AF) relay systems is proposed over Rayleigh fading channels. Previous approaches derived the moment generating function(MGF) by using the cumulative distribution function(CDF) or probability density function(PDF) of the received signal-to-noise ratio(SNR) for source-relay-destination(S-R-D) link. Then, the average symbol error rate is expressed based on derived MGFs. In this paper, another new approach is proposed. It means that the MGF is directly derived by utilizing PDFs of both source-relay(S-R) and relay-destination(R-D) links. Additionary, the newly derived MGF is compared and analyzed with previous ones. Furthermore, simulation results are presented to validate the accuracy of proposed analytical expression. Based on this, it is confirmed that the proposed analytical approach can be a another solution for dual-hop AF relay systems.

Correlations among Respiratory Function, UPDRS and Senior Fitness in Parkinson's Disease Patients (파킨슨병환자의 호흡기능, UPDRS 및 Senior Fitness의 관련성)

  • Kang, Dong-Yeon;Cheon, Sang-Myung;Cheon, Sang-Myung;Lee, Kyung-Soon;Kim, Kyoung
    • The Journal of Korean Physical Therapy
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    • v.26 no.2
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    • pp.48-55
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    • 2014
  • Purpose: The purpose of this study was to examine correlations among UPDRS, respiratory function, and senior fitness and to investigate the effects of restrictive respiratory function on these factors in Parkinson's disease patients. Methods: Subjects (n=25, Hoehn & Yahr (H&Y) stage: 2-3, $69.3{\pm}5.9$ yrs) from D Hospital Parkinson's Disease Center at Busan metropolitan area in the Republic of Korea volunteered for this study. They performed the pulmonary function test, UPDRS, and the senior fitness test. SPSS 18.0 was used for analysis of data, and the collected data were analyzed using Pearson's correlation coefficient (n=25). In addition, Independent t-test was used for determination of differences between two groups (between the normal pulmonary function group (n=10) and the restrictive pulmonary function group (n=10)). Results: Forced vital capacity (FVC (L)) showed significant negative correlation (r=-0.44, p<0.05) with H&Y stage in Parkinson's disease patients, and chair stand showed significant negative correlations (r=0.41, 0.43, 0.42, p<0.05) with FVC (L), FVC (%), and FEV1 (L). FVC (%) showed significant positive correlations (r=0.44, r=0.44, p<0.05) with right and left back scratch. In addition, the restrictive respiratory function group showed significantly lower FVC (%) (p<0.01) and was significantly slower (p<0.05) in the 8-foot up-and-go test than the normal respiratory function group. Conclusion: In conclusion, these results suggest that restrictive respiratory function in PD was related to H&Y stage. In addition, agility of PD patients was lower in the restrictive respiratory function group than in the normal function group.

Comparison of Predicted Postoperative Lung Function in Pneumonectomy Using Computed Tomography and Lung Perfusion Scans

  • Kang, Hee Joon;Lee, Seok Soo
    • Journal of Chest Surgery
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    • v.54 no.6
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    • pp.487-493
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    • 2021
  • Background: Predicting postoperative lung function after pneumonectomy is essential. We retrospectively compared postoperative lung function to predicted postoperative lung function based on computed tomography (CT) volumetry and perfusion scintigraphy in patients who underwent pneumonectomy. Methods: Predicted postoperative lung function was calculated based on perfusion scintigraphy and CT volumetry. The predicted function was compared to the postoperative lung function in terms of forced vital capacity (FVC) and forced expiratory volume in 1 second (FEV1), using 4 parameters: FVC, FVC%, FEV1, and FEV1%. Results: The correlations between postoperative function and predicted function based on CT volumetry were r=0.632 (p=0.003) for FVC% and r=0.728 (p<0.001) for FEV1%. The correlations between postoperative function and predicted postoperative function based on perfusion scintigraphy were r=0.654 (p=0.002) for FVC% and r=0.758 (p<0.001) for FEV1%. The preoperative Eastern Cooperative Oncology Group (ECOG) scores were significantly higher in the group in which the gap between postoperative FEV1 and predicted postoperative FEV1 analyzed by CT was smaller than the gap analyzed by perfusion scintigraphy (1.2±0.62 vs. 0.4±0.52, p=0.006). Conclusion: This study affirms that CT volumetry can replace perfusion scintigraphy for preoperative evaluation of patients needing pneumonectomy. In particular, it was found to be a better predictor of postoperative lung function for poor-performance patients (i.e., those with high ECOG scores).

R and S Arrays Approach for Transfer Function-Noise Model Identificaton

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
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    • v.19 no.1
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    • pp.1-14
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    • 1990
  • This paper proposes an approach to the identification of trnasfer function models. A strategy for the identification of the model structure is based on R and S arrays constructed by the impulse response function of the model. Theoretical patterns of the arrays associated with the model are investigated, and the practical implementation method of the suggested approach is also discussed. Finally two published samples are employed to demonstrate the practicability of the approach.

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ON THE CONTINUITY OF THE HARDY-LITTLEWOOD MAXIMAL FUNCTION

  • Park, Young Ja
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.1
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    • pp.43-46
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    • 2018
  • It is concerned with the continuity of the Hardy-Little wood maximal function between the classical Lebesgue spaces or the Orlicz spaces. A new approach to the continuity of the Hardy-Littlewood maximal function is presented through the observation that the continuity is closely related to the existence of solutions for a certain type of first order ordinary differential equations. It is applied to verify the continuity of the Hardy-Littlewood maximal function from $L^p({\mathbb{R}}^n)$ to $L^q({\mathbb{R}}^n)$ for 1 ${\leq}$ q < p < ${\infty}$.

RELATIVE (p, q) - 𝜑 ORDER BASED SOME GROWTH ANALYSIS OF COMPOSITE p-ADIC ENTIRE FUNCTIONS

  • Biswas, Tanmay;Biswas, Chinmay
    • Korean Journal of Mathematics
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    • v.29 no.2
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    • pp.361-370
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    • 2021
  • Let 𝕂 be a complete ultrametric algebraically closed field and 𝓐 (𝕂) be the 𝕂-algebra of entire function on 𝕂. For any p-adic entire functions f ∈ 𝓐 (𝕂) and r > 0, we denote by |f|(r) the number sup {|f (x)| : |x| = r} where |·|(r) is a multiplicative norm on 𝓐 (𝕂). In this paper we study some growth properties of composite p-adic entire functions on the basis of their relative (p, q)-𝜑 order where p, q are any two positive integers and 𝜑 (r) : [0, +∞) → (0, +∞) is a non-decreasing unbounded function of r.

Effect of cognitive function and oral health status on mastication ability in elderly individuals (노인의 인지기능과 구강건강상태가 저작능력에 미치는 영향)

  • Choi, Ma-I;Noh, Hee-Jin;Han, Sun-Young;Mun, So-Jung
    • Journal of Korean society of Dental Hygiene
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    • v.19 no.1
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    • pp.65-78
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    • 2019
  • Objectives: This study was conducted to characterize the impact of cognitive function and oral health status on mastication in senior citizens, ${\geq}65$ years of age, using senior centers in the city of Wonju, South Korea. Methods: A cross-sectional study consisting of a simple oral examination and survey questionnaires was performed in 154 individuals. General characteristics, subjective masticatory function, objective masticatory function, cognitive function, and oral health status were collected as variables. Correlation and multiple linear regression analyses were conducted. A p-value of <0.05 was considered to be statistically significant. Results: The subjective masticatory function was scored using the 5-point Likert scale. When subjective masticatory function was analyzed in groups according to cognitive function, the mean subjective masticatory function scores were 4.31, 4.09, and 3.29 in the normal group (cognitive score of ${\geq}16$), suspected dementia group (cognitive score of 1215), and mild dementia group (cognitive score of ${\leq}11$), respectively. Thus, subjective masticatory function decreased along with decreasing cognitive function. When cognitive function, subjective masticatory function, and objective masticatory function were compared with indicators of oral health status (number of functional teeth, oral dryness), subjective masticatory function exhibited a significant positive correlation with objective masticatory function (r=0.635, p<0.01), cognitive function (r=0.292, p<0.01), and total number of functional teeth, including prosthetic appliances (dentures) (r=0.305, p<0.01). According to the regression analysis, age, sex, number of functional teeth, and cognitive function affected subjective masticatory function. Conclusions: The results of this study revealed that age, sex, number of functional teeth, and cognitive function affected subjective masticatory function, whereas oral dryness did not. Therefore, dental professionals must consider subjective masticatory function when providing oral care in senior patients with low cognitive function.

GALAXY CORRELATION IN A BUBBLY UNIVERSE

  • Ryu, Dong-Su
    • Publications of The Korean Astronomical Society
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    • v.7 no.1
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    • pp.25-30
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    • 1992
  • Recent redshift surveys suggest that most galaxies may be distributed on the surfaces of bubbles surrounding large voids. To investigate the quantitative consistency of this qualitative picture of large-scale structure, we study analytically the clustering properties of galaxies in a universe filled with spherical shells. In this paper, we report the results of the calculations for the spatial and angular two-point correlation functions of galaxies. With ${\sim}20%$ of galaxies in clusters and a power law distribution of shell sizes, $n_{sh}(R){\sim}R^{-{\alpha}}$, ${\alpha}\;{\simeq}\;4$, the observed slope and amplitude of the spatial two-point correlation function ${\xi}_{gg}(r)$ can be reproduced. (It has been shown that the same model parameters reproduce the enhanced cluster two-point correlation function, ${\xi}_{cc}(r)$). The corresponding angular two-point correlation function $w({\theta})$ is calculated using the relativistic form of Limber's equation and the Schecter-type luminosity function. The calculated w(${\theta}$) agrees with the observed one quite well on small separations (${\theta}{\lesssim}2deg$).

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