• Title/Summary/Keyword: Time Scales

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POSITIVE SOLUTIONS OF NONLINEAR m-POINT BVP FOR AN INCREASING HOMEOMORPHISM AND POSITIVE HOMOMORPHISM ON TIME SCALES

  • Han, Wei;Jin, Zhen;Zhang, Guang
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1171-1184
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    • 2010
  • In this paper, by using fixed point theorems in cones, the existence of positive solutions is considered for nonlinear m-point boundary value problem for the following second-order dynamic equations on time scales $({\phi}(u^{\Delta}))^{\nabla}+a(t)f(t,\;u(t))=0$, t $\in$ (0, T), $u(0)=\sum\limits^{m-2}_{i=1}a_iu(\xi_i)$, $\phi(u^{\Delta}(T))=\sum\limits^{m-2}_{i=1}b_i{\phi}(u^{\Delta}(\xi_i))$, where $\phi$ : R $\rightarrow$ R is an increasing homeomorphism and positive homomorphism and ${\phi}(0)=0$. In [27], we obtained the existence results of the above problem for an increasing homeomorphism and positive homomorphism with sign changing nonlinearity. The purpose of this paper is to supplement with a result in the case when the nonlinear term f is nonnegative, and the most point we must point out for readers is that there is only the p-Laplacian case for increasing homeomorphism and positive homomorphism due to the sign restriction. As an application, one example to demonstrate our results are given.

CHARACTERIZATIONS OF STABILITY OF ABSTRACT DYNAMIC EQUATIONS ON TIME SCALES

  • Hamza, Alaa E.;Oraby, Karima M.
    • Communications of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.185-202
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    • 2019
  • In this paper, we investigate many types of stability, like (uniform stability, exponential stability and h-stability) of the first order dynamic equations of the form $$\{u^{\Delta}(t)=Au(t)+f(t),\;\;t{\in}{\mathbb{T}},\;t>t_0\\u(t_0)=x{\in}D(A),$$ and $$\{u^{\Delta}(t)=Au(t)+f(t,u),\;\;t{\in}{\mathbb{T}},\;t>t_0\\u(t_0)=x{\in}D(A),$$ in terms of the stability of the homogeneous equation $$\{u^{\Delta}(t)=Au(t),\;\;t{\in}{\mathbb{T}},\;t>t_0\\u(t_0)=x{\in}D(A),$$ where f is rd-continuous in $t{\in}{\mathbb{T}}$ and with values in a Banach space X, with f(t, 0) = 0, and A is the generator of a $C_0$-semigroup $\{T(t):t{\in}{\mathbb{T}}\}{\subset}L(X)$, the space of all bounded linear operators from X into itself. Here D(A) is the domain of A and ${\mathbb{T}}{\subseteq}{\mathbb{R}}^{{\geq}0}$ is a time scale which is an additive semigroup with property that $a-b{\in}{\mathbb{T}}$ for any $a,b{\in}{\mathbb{T}}$ such that a > b. Finally, we give illustrative examples.

Empirical Validation of Interior Image Preference Scale(IIPS) (실내이미지 선호 측정 시각적 도구에 대한 실증적 검증)

  • 이연숙;홍미혜
    • Korean Institute of Interior Design Journal
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    • no.16
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    • pp.3-9
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    • 1998
  • The purpose of this research is to empirically validate the IIPS (Interior Image Preference Scale) which is a newly developed visual instrument for evaluating the environmental disposition inherent to individuals especially one's interior image preferences. The questionnaire survey was used. The data were collected from Oct. 10th 1997 to Nov. 14th 1997. The subjects were 399 undergraduate students and 30 professor of Dep. of Interior Design. With respect to content validity and construct validity of IIPS discrimination and similarity structure of scales and characteristics of 12 prototype interior images were examined in comparison with the originals. 429 questionnaires were analyzed using frequency percentage mean and Multi-Dimensional Scales. The major results were as follows (1) All 80 items of IIPS were discriminated by 3 criteria such as Traditionalism·Modernity(TM) Masculinity·Femininty (MF) and Simplicity·Complexity (SC) as expected at the time of the instrument development stage.(2) 12 prototype interior images of the IIPS showed tendency to be accord with descriptors to express them in comparison with the originals (3) All 90 items of IIPS showed a cluster distribution according to the similarity structure of scales. Three subscales of IIPS(e . g. TM MF and SC) were structured pretty well by those 3 dimensions. This research revealed the IIPS to have content validity and construct validity for evaluating of preference of three properties of interior image in empirical research. The IIPS was found to be potential objective tool to measure the interior image preferences.

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The Marital Relationship Enhancement Program and Its Effects for Couples in the Early Marriage Stage (결혼초기 부부관계향상 프로그램의 효과검증 -PREP(Prevention and Relationship Enhancement Program)을 중심으로-)

  • Yu Eun-Hee;Kim Deuk-Sung
    • Journal of Families and Better Life
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    • v.23 no.1 s.73
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    • pp.1-18
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    • 2005
  • The purpose of this study was to construct the Marital Relationship Enhancement Program based on PREP(Prevention and Relationship Enhancement Program), and to examine the effect of it for couples in the early marriage stage. To perform this program, six session of time-limited(two hour) were carried out experimental group. and subjects were assigned to experimental group(N=6 couples) and control group(N=6 couples). Scales of PREPARE II (PREmarital Personal And Relationship Evaluation), Couple Communication Scales and Commitment Scales were used as pre-post-follow instruments of this study. Major finding were as follows : 1. Marital Relationship Enhancement Program for couples in the early marriage stage has meaningful consequences for the improvement of participants' couple relationship. 2. Marital Relationship Enhancement Program had meaningful consequence for the improvement of participants' realistic expectation of marriage, communication and conflict resolution skills and leisure activities. These positive effects maintained at follow-up. However, it hadn't meaningful consequence for the improvement of participants' marital commitment. 3. Marital Relationship Enhancement Program had also meaningful consequence for the improvement of the wives' realistic expectation of marriage, communication and conflict resolution skills and leisure activities, of the husbands' communication and conflict resolution skills.

Effects of multiple driving scales on incompressible turbulence

  • Yoo, Hyun-Ju;Cho, Jung-Yeon
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.1
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    • pp.75.2-75.2
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    • 2012
  • Turbulence is ubiquitous in astrophysical fluids such as the interstellar medium and intracluster medium. To maintain turbulent motion, energy must be injected into the fluids. In turbulence studies, it is customary to assume that the fluid is driven on a scale, but there can be many different driving mechanisms that act on different scales in astrophysical fluids. We expect different statistical properties of turbulence between turbulence with single driving scale and turbulence with double driving scales. In this work, we perform 3-dimensional incompressible MHD turbulence simulations with energy injection in two ranges, 2${\surd}$12 (large scale) and 15

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Organization of Circular Motion Accuracy Measuring System of NC Lathe using Linear Scales (리니어 스케일을 이용한 NC 선반의 원 운동정도 측정 시스템의 구성)

  • Kim Young Seuk;Kim Jae Yeol;Kim Jong Kwan;Han Ji Hee;Jung Jung Pyo
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.13 no.5
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    • pp.1-6
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    • 2004
  • Measurements of circular motion accuracy of NC lathe have achieved with ball bar systems proposed by Bryan, but the ball bar systems have ifluenced on the measuring data by way of the accuracy of the balls and the contacts of balls and bar seats. Therefore in this study, error data during of circular motion of ATC(Automatic Tool Changer) of NC lathe will be acquired by reading zx plane coordinates using two optical linear scales. Two optical linear scales of measuring unit are fixed on z-x plane of NC lathe, and the moving part is fixed to ATC and then is made to receive data of coordinates of the ATC at constant time intervals using tick pulses comming out from computer. And then, error data files of radial direction of circular motion are calculated with the data read, and the aspect of circular motion are modeled to plots, and are analysed by means of statistical treatments of circularity, means, standard deviations etc.

Extrapolation of wind pressure for low-rise buildings at different scales using few-shot learning

  • Yanmo Weng;Stephanie G. Paal
    • Wind and Structures
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    • v.36 no.6
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    • pp.367-377
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    • 2023
  • This study proposes a few-shot learning model for extrapolating the wind pressure of scaled experiments to full-scale measurements. The proposed ML model can use scaled experimental data and a few full-scale tests to accurately predict the remaining full-scale data points (for new specimens). This model focuses on extrapolating the prediction to different scales while existing approaches are not capable of accurately extrapolating from scaled data to full-scale data in the wind engineering domain. Also, the scaling issue observed in wind tunnel tests can be partially resolved via the proposed approach. The proposed model obtained a low mean-squared error and a high coefficient of determination for the mean and standard deviation wind pressure coefficients of the full-scale dataset. A parametric study is carried out to investigate the influence of the number of selected shots. This technique is the first of its kind as it is the first time an ML model has been used in the wind engineering field to deal with extrapolation in wind performance prediction. With the advantages of the few-shot learning model, physical wind tunnel experiments can be reduced to a great extent. The few-shot learning model yields a robust, efficient, and accurate alternative to extrapolating the prediction performance of structures from various model scales to full-scale.

Automatic Tonality Detection Algorithm of Homophony 4-Part Chorus Sheet Music Using Chord Names and Scale Analysis (화음 이름과 음계 분석을 이용한 호모포니 4부 합창 악보의 자동 조성 검출 알고리듬)

  • Lee, Sang-Seong;Lee, Don-Oung
    • The Journal of the Acoustical Society of Korea
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    • v.26 no.7
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    • pp.334-342
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    • 2007
  • This paper presents an algorithm for the automatic detection of chord names, scales and tonalities from music file, expressed in MusicXML format which has enough information to determine harmonies vertically like 4-part choir. Chord names are absolute names which can be used and analysed independently of the tonality An algorithm selecting the best chord name is described, which can decide the most appropriate one from ambiguous situations. Candidate musical scales are extracted using the notes in a given time window. The tonalities of the music are determined using the chord names and candidate scales. The final output format of the process is also MusicXML file with chord names, marked non-harmonic notes, relative harmonic symbols and tonalities.

A Study on the Correlation between Surface Electromyography and Assessment Scale for Facial Palsy (안면신경마비의 평가척도와 SEMG 검사 결과 간의 상관성 연구)

  • Kim, Jong Uk;Lee, Hyung Geol;Jung, Da Jung;Choi, Yoo Min;Song, Beom Yong;Yook, Tae Han;Kim, Woo Kyung;Kim, Lak Hyung
    • Journal of Acupuncture Research
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    • v.30 no.5
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    • pp.107-116
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    • 2013
  • Objjectives : The purpose of this study is to investigate the correlation between surface electromyography(SEMG) and assessment scales for facial palsy. Methods : The subjects for this study were 21 patients who had peripheral facial nerve palsy. We analyzed about the correlation between the results of SEMG and facial nerve assessment scales that were carried out at the same time. The assessment scales used in this study were House-Brackmann scale, Yanagihara grading system, Sunnybrook facial grading system. Results : There are considerable correlation between the results of SEMG and the results of three kinds of assessment scales for facial nerve palsy. Conclusions : SEMG may be an objective examination for facial nerve palsy. Some research aimed at development of SEMG examination guideline for facial nerve palsy will be needed after this. And we expect that many researches for development of diagnostic equipments or treatment equipments that utilize SEMG will proceed.

Psychophysiologic States of Insomnia Patients -Pre-Sleep Arousal, Self Efficacy, Sleep Hygiene Awareness and Practice, Depression, and Anxiety- (불면증 환자의 정신생리 상태 -수면 직전 각성 정도, 자기 효율 정도, 수면 위생, 불안과 우울 정도-)

  • Oh, Kang-Seob;Lee, So-Hee;Lee, Si-Hyung
    • Sleep Medicine and Psychophysiology
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    • v.2 no.1
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    • pp.82-90
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    • 1995
  • Objectives : Insomnia is significantly influenced by the pre-sleep arousal, self efficacy, sleep hygiene, depression and anxiety. The authors tried to explore how these factors are related with the clinical features of sleep. Methods : Fifty three patients diagnosed as insomnia by DSM-IV criteria were studied. They filled up the pre-sleep arousal scale(PSAS), sleep efficacy scale(SES), sleep hygiene awareness and practice scale, BDI, and state and trait anxiety scales. Results: 1) The mean values of sleep-related variables were as follows : Sleep latency,136.89 minutes ; frequences of awakening during a night, 2.28 ; minutes to get back to sleep, 42.70 ; total sleep time, 180.19 minutes ; duration of illness, 72.00 months. 2) The mean scores of scales were as follows : PSAS(cognitive), 22.40 ; PSAS(somatic), 17.32 ; SES, 20.16 ; sleep hygiene knowledge, 25.96 ; caffein knowledge, 59.78 ; sleep hygiene practice, 42.12 ; BDI. 18.2 ; state anxiety, 41.24 ; trait anxiety ; 44.50. 3) In the subjects with superimposed depression, the mean frequency of awakening during a night and the mean pre-sleep arousal scale score were higher than in those without depression. 4) Frequency of awakening were correlated positively with a PSAS(a tight tense feeling in your muscle) and sleep hygiene awareness. PSAS(cognitive) were correlated positively with a PSAS(somatic). BDI correlated positively with a PSAS item(a jittery, nervous feeling in your body)and a SES item (not allow a poor night's sleep to interfere with daily activities). Anxiety scales were correlated positively with sleep hygiene practice scale sleep, and PSAS were correlated negatively with SES. Conclusions : The mean scores of PSAS, SES, sleep hygiene awareness and practice scale, BDI, state and trait anxiety scales of insomniacs were correlated either positively or negatively in insomnia patients. These factors seem to contribute to the development and maintainence of insomnia.

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