• Title/Summary/Keyword: Positive Functions

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Analysis of the Curative Meaning of Alcohol in 《Hwangjenaegyeong(黃帝內經)》 and 《Gyeongakjeonseo(景岳全書)》 (《황제내경(黃帝內經)》과 《경악전서(景岳全書)》에서 보이는 주(酒)의 양생적 의미에 대한 분석)

  • Jung, Dae Sung;Lee, Jae Heung;Bae, Jae Ryong
    • Journal of Korean Medical Ki-Gong Academy
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    • v.20 no.1
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    • pp.148-162
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    • 2020
  • Objective : The purpose of this study is not only to examine the negative functions of alcohol, but also to examine the positive functions and look at it with a balanced perspective. Methods : We investigated the number of times the word "酒"(alcohol) appears in 《Hwangjenaegyeong》 and 《Gyeongakjeonseo》. The meaning of alcohol was divided into seven categories. The number of positive and negative functions of alcohol was counted and the ratio was calculated. Results : 1. In the 《Hwangjenaegyeong》, the word alcohol appears 23 times, of which 9 times has positive functions, 10 times has negative functions, and the remaining 4 times does not correspond anywhere. The ratio of positive functions is 39.13% and negative functions 43.48%. 2. In the 《Gyeongakjeonseo》, the word alcohol appears 1,487 times, of which 1,140 times (76.66%) has positive functions, and 327 times (21.99%) has negative functions. Conclusions : 1. In 《Hwangjenaegyeong》, the number of comments about positive and negative functions of alcohol is similar. 2. 《Gyeongakjeonseo》 has commented a lot about the positive functions of alcohol. However, it has more mentions to negative functions of alcohol except for those related to herbs and prescriptions (48 to 64 chapter). 3. It is somewhat unreasonable to judge the emphasis on the positive and negative function of alcohol according to the number of references to alcohol in oriental medicine classics. But in these books, we can find a balanced approach between the two sides, not a one-sided biased view. 4. From a curative point of view, it is desirable to know and to use the positive and negative functions of alcohol, and drink alcohol as appropriate control.

Integral Operator of Analytic Functions with Positive Real Part

  • Frasin, Basem Aref
    • Kyungpook Mathematical Journal
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    • v.51 no.1
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    • pp.77-85
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    • 2011
  • In this paper, we introduce the integral operator $I_{\beta}$($p_1$, ${\ldots}$, $p_n$; ${\alpha}_1$, ${\ldots}$, ${\alpha}_n$)(z) analytic functions with positive real part. The radius of convexity of this integral operator when ${\beta}$ = 1 is determined. In particular, we get the radius of starlikeness and convexity of the analytic functions with Re {f(z)/z} > 0 and Re {f'(z)} > 0. Furthermore, we derive sufficient condition for the integral operator $I_{\beta}$($p_1$, ${\ldots}$, $p_n$; ${\alpha}_1$, ${\ldots}$, ${\alpha}_n$)(z) to be analytic and univalent in the open unit disc, which leads to univalency of the operators $\int\limits_0^z(f(t)/t)^{\alpha}$dt and $\int\limits_0^z(f'(t))^{\alpha}dt$.

Revision on the Frequency Domain Conditions for Strict Positive Realness

  • Moghaddam Mojtaba Hakimi;Khaloozadeh Hamid
    • International Journal of Control, Automation, and Systems
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    • v.5 no.1
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    • pp.1-7
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    • 2007
  • In this paper, the necessary and sufficient conditions for strict positive realness of the rational transfer functions directly from basic definitions in the frequency domain are studied. A new frequency domain approach is used to check if a rational transfer function is a strictly positive real or not. This approach is based on the Taylor expansion and the Maximum Modulus Principle which are the fundamental tools in the complex functions analysis. Four related common statements in the strict positive realness literature which is appeared in the control theory are discussed. The drawback of these common statements is analyzed through some counter examples. Moreover a new necessary condition for strict positive realness is obtained from high frequency behavior of the Nyquist diagram of the transfer function. Finally a more simplified and completed conditions for strict positive realness of single-input single-output linear time-invariant systems are presented based on the complex functions analysis approach.

UNIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING PASCAL DISTRIBUTION SERIES

  • Bulboaca, Teodor;Murugusundaramoorthy, Gangadharan
    • Communications of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.867-877
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    • 2020
  • The aim of this article is to make a connection between the Pascal distribution series and some subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution. To be more precise, we investigate such connections with the classes of analytic univalent functions with positive coefficients in the open unit disk 𝕌.

UNIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING POISSON DISTRIBUTION SERIES

  • Murugusundaramoorthy, Gangadharan
    • Honam Mathematical Journal
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    • v.40 no.3
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    • pp.529-538
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    • 2018
  • The purpose of the present paper is to establish connections between various subclasses of analytic univalent functions by applying certain convolution operator involving Poisson distribution series. To be more precise,we investigate such connections with the classes of analytic univalent functions with positive coefficients in the open unit disk.

A CERTAIN SUBCLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS ASSOCIATED WITH AN INTEGRAL OPERATOR

  • Akgul, Arzu
    • Honam Mathematical Journal
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    • v.39 no.3
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    • pp.331-347
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    • 2017
  • The aim of the present paper is to introduce a new subclass of meromorphic functions with positive coefficients defined by a certain integral operator and a necessary and sufficient condition for a function f to be in this class. We obtain coefficient inequality, meromorphically radii of close-to-convexity, starlikeness and convexity, convex linear combinations, Hadamard product and integral transformation for the functions f in this class.

The Changes of Respiratory Functions Following Postures in Cerebral Palsy : Spastic Diplegia (뇌성마비의 유형별 자세에 따른 호흡기능의 변화 : 경직성 양하지마비)

  • Song Ju-Young
    • The Journal of Korean Physical Therapy
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    • v.16 no.4
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    • pp.115-128
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    • 2004
  • The purpose of this study was to evaluate respiratory functions in relation to the gross motor functions(total value of GMFM), the difference of chest girth, and the changing position in spastic children. The respiratory functions(FVC, FEV1, $FEV1\%$, and PEF) were measured in the supine, the $45^{\circ}$semi-sitting, and the $45^{\circ}$sitting in 9 subjects. In the supine position, the mean difference of chest girth was $1.56{\pm}0.80cm$, the total value of GMFM was $45.41{\pm}17.79\%$. In the supine position, there was significant positive relationship in FVC-FEV1, FVC-PEF, and FEV1-PEF, but there was no significant relationship in GMFM and all respiratory functions. In the $45^{\circ}$semi-sitting, there was significant positive relationship in GMFM-FVC, FVC-FEV1, FVC-PEF, FEV1-PEF, and $FEV1\%-PEF$. In the $90^{\circ}$sitting, there was significant positive relationship in GMFM-FEV1, $GMFM-FEV1\%$, FVC-FEV1, FVC-PEF, and FEV1-PEF. In results of measured respiratory functions according to the postures, the supine position had highest value in all respiratory functions, but there were no significant (p<0.05).

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Research and Design of Functional Requirements of Shared Electric Bicycle App Based on User Experience

  • Xiangqin Zhao;Bin Wang
    • Journal of Information Processing Systems
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    • v.19 no.2
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    • pp.219-231
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    • 2023
  • Intelligent applications are crucial for increasing the popularity of shared urban electric bicycles (EBs). Building an application platform architectural system that can satisfy independent user operations is critical for increasing the intelligent usage of shared EBs. Consequently, we collected online reviews of shared EB applications, conducted semantic processing and sentiment analysis, and refined the positive and negative review data for each function. The positive and negative review indices of each function were calculated using the formulae for positive and negative review indices of product functions, thereby determining the functions that need to be improved. Each function of the Shared EB application was improved according to its business process. The main contributions of this study are to build a user requirement architecture system for the Shared EB application with five dimensions and 22 functions using the Delphi method to design the user interface (UI) of this application based on user satisfaction evaluation results; to create a high-fidelity dynamic interaction prototype and compare user satisfaction before and after improving the Shared EB application functions. The testing results indicate that the changes in the UI significantly improve the user experience satisfaction of the urban Shared EB application, with the positive experience index increasing by 69.21% and the negative experience index decreasing by 75.85% overall. This information can be directly used by relevant companies to improve the functions of the Shared EB application.

CONSTRUCTION OF POSITIVE INTERPOLATION FUNCTIONS FOR DIFFUSION TENSOR

  • Shim, Hong-Tae
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.563-570
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    • 2007
  • There has been a considerable research interest in medical communities for neuronal fiber tracking with magnetic resonance diffusion tensor imaging(DTI). DTI data have abundant structural boundaries that need to be preserved during interpolation to facilitate fiber tracking. Sigmoid function has been used in recent papers but the sigmoid function still is not good enough to be served as an positive interpolation in mathematical point of view. In this paper, we construct and provide two families positive cardinal interpolation functions.

Relationships between Psychotic Symptoms and Cognitive Functions in Schizophrenic Patients (정신분열병 환자에서 정신병적 증상과 인지기능의 관련성)

  • Yi, Min-Young;Kim, Hongkeun
    • Korean Journal of Biological Psychiatry
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    • v.14 no.2
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    • pp.122-128
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    • 2007
  • Objectives : The aim of this study was to investigate relationships between psychotic symptoms and cognitive functions in schizophrenia. Methods : The study group was composed of 36 schizophrenic patients. Positive, negative, and disorganization symptoms were assessed using the PANSS. Verbal, visuospatial, attention, memory, and executive functions were assessed using a battery of cognitive tests. Results : Correlation analysis between symptom vs. cognitive measures showed that (a) positive symptoms were significantly correlated with no cognitive measures, (b) negative symptoms were significantly correlated with all cognitive measures, and (c) disorganization symptoms were significantly correlated with executive and memory measures. Correlation analyses between symptom vs. cognitive factors showed that negative-disorganization factor is significantly correlated with executive-memory factor. Conclusion : Significant relationships were confined mostly to frontal symptoms vs. frontal cognitive functions. Thus, the relationships may be mediated mainly by variations in severity of frontal pathology among patients.

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