• 제목/요약/키워드: Positive Function

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AN INVESTIGATION ON GEOMETRIC PROPERTIES OF ANALYTIC FUNCTIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS EXPRESSED BY HYPERGEOMETRIC FUNCTIONS

  • Akyar, Alaattin;Mert, Oya;Yildiz, Ismet
    • 호남수학학술지
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    • 제44권1호
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    • pp.135-145
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    • 2022
  • This paper aims to investigate characterizations on parameters k1, k2, k3, k4, k5, l1, l2, l3, and l4 to find relation between the class of 𝓗(k, l, m, n, o) hypergeometric functions defined by $$5_F_4\[{\array{k_1,\;k_2,\;k_3,\;k_4,\;k_5\\l_1,\;l_2,\;l_3,\;l_4}}\;:\;z\]=\sum\limits_{n=2}^{\infty}\frac{(k_1)_n(k_2)_n(k_3)_n(k_4)_n(k_5)_n}{(l_1)_n(l_2)_n(l_3)_n(l_4)_n(1)_n}z^n$$. We need to find k, l, m and n that lead to the necessary and sufficient condition for the function zF([W]), G = z(2 - F([W])) and $H_1[W]=z^2{\frac{d}{dz}}(ln(z)-h(z))$ to be in 𝓢*(2-r), r is a positive integer in the open unit disc 𝒟 = {z : |z| < 1, z ∈ ℂ} with $$h(z)=\sum\limits_{n=0}^{\infty}\frac{(k)_n(l)_n(m)_n(n)_n(1+\frac{k}{2})_n}{(\frac{k}{2})_n(1+k-l)_n(1+k-m)_n(1+k-n)_nn(1)_n}z^n$$ and $$[W]=\[{\array{k,\;1+{\frac{k}{2}},\;l,\;m,\;n\\{\frac{k}{2}},\;1+k-l,\;1+k-m,\;1+k-n}}\;:\;z\]$$.

어머니의 신체접촉 변화에 대한 영아 반응의 민감성 (Infants' Sensitivity on the Changes of Mothers' Touch)

  • 곽금주;김수정;정윤경
    • 아동학회지
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    • 제26권5호
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    • pp.123-137
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    • 2005
  • The present study examined the effectiveness and communications functions of mothers' touch on the responses of their 6-month-old infants using the Still-Face (SF) situation. Participants were 67 infant-mother dyads from Seoul and Gyeonggi province. Positive and negative responses of infants were measured by SF interactions and by three different touch conditions. Touch types were measured by a coding scheme based on Suchung Kim and Keumjoo Kwak (2003; 2(04). Results showed that mothers' touch affected baby's responses by increasing positive responses and decreasing negative responses. The positive and negative responses of infants differed by the three different touch conditions, indicating that mothers use different touch types according to touch conditions; these variations in touch function as an important channel of communications.

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감성에 따른 뇌의 변화 특성에 대한 연구 -청각감각에 의한 감성- (Study for Variational Characteristics of Brain According to Human Emotion -Human Emotion by Auditory Perception-)

  • 황민철;손진훈;김철중
    • 대한산업공학회지
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    • 제23권3호
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    • pp.609-619
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    • 1997
  • The concept of human emotion is recently demanded to be imbedded in industrial product and environment for enhancing quality of life. Human emotion is attempted to be qualified and quantified by physiological measurements. EEG variation, one of the physiological measurement, is observed to characterize psychological response in this study. This study is to find function and process of brain according to emotion. Twenty university students participated in this study and experienced positive and negative emotion by auditory stimulus. Delta, theta, alpha and beta waves showed characteristic variation in normalized sense according to positive and negative emotion. Local area showing significant difference between positive and negative emotion decreases with stimulus duration. Delta, theta and beta waves increase with negative emotion while alpha wave does with positive emotion.

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A SUMMABILITY FOR MEYER WAVELETS

  • Shim, Hong-Tae;Jung, Kap-Hun
    • Journal of applied mathematics & informatics
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    • 제9권2호
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    • pp.657-666
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    • 2002
  • ThE Gibbs' phenomenon in the classical Fourier series is well-known. It is closely related with the kernel of the partial sum of the series. In fact, the Dirichlet kernel of the courier series is not positive. The poisson kernel of Cesaro summability is positive. As the consequence of the positiveness, the partial sum of Cesaro summability does not exhibit the Gibbs' phenomenon. Most kernels associated with wavelet expansions are not positive. So wavelet series is not free from the Gibbs' phenomenon. Because of the excessive oscillation of wavelets, we can not follow the techniques of the courier series to get rid of the unwanted quirk. Here we make a positive kernel For Meyer wavelets and as the result the associated summability method does not exhibit Gibbs' phenomenon for the corresponding series .

황련감초 하태독법의 피부 지방장벽형성 증진효과 (Effect of Skin Fat Lipid Barrier Formation on Hataedock with Coptis Japonica & Glycyrrhiza Uralensis)

  • 안상현;김기봉
    • 대한한방소아과학회지
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    • 제31권3호
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    • pp.14-23
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    • 2017
  • Objectives This study is conducted to evaluate skin fat barrier formation of Hataedock using the Coptis japonica & Glycyrrhiza uralensis extract. Methods The 3-week-old NC/Nga mice were divided into 3 groups: control group (Ctrl), Hataedock-treated group that uses the Coptis japonica & Glycyrrhiza uralensis (CGT) extract, and Hataedock-treated group that uses Bifidobacterium (BBT). After 2 weeks, changes in immunohistochemicals, and skin-lipid-barrier regulators were observed for the effects of Hataedock. Results In CGT group, loricrin-positive reaction has been increased by 231%, along with involucrin-positive reaction by 90%, filaggrin-positive reaction by 143%, and ASM-positive reaction by 341% in the stratum corneum. Conclusions Hataedock, using the extract of Coptis japonica & Glycyrrhiza uralensis, increased the expression of proteins promoting keratinocyte differentiation. This leads into conclusion that Hataedock may increase the keratinocyte formation and function which promotes skin barrier formation.

TRIPLE POSITIVE SOLUTIONS OF SECOND ORDER SINGULAR NONLINEAR THREE-POINT BOUNDARY VALUE PROBLEMS

  • Sun, Yan
    • Journal of applied mathematics & informatics
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    • 제28권3_4호
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    • pp.763-772
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    • 2010
  • This paper deals with the existence of triple positive solutions for the nonlinear second-order three-point boundary value problem z"(t)+a(t)f(t, z(t), z'(t))=0, t $\in$ (0, 1), $z(0)={\nu}z(1)\;{\geq}\;0$, $z'(\eta)=0$, where 0 < $\nu$ < 1, 0 < $\eta$ < 1 are constants. f : [0, 1] $\times$ [0, $+{\infty}$) $\times$ R $\rightarrow$ [0, $+{\infty}$) and a : (0, 1) $\rightarrow$ [0, $+{\infty}$) are continuous. First, Green's function for the associated linear boundary value problem is constructed, and then, by means of a fixed point theorem due to Avery and Peterson, sufficient conditions are obtained that guarantee the existence of triple positive solutions to the boundary value problem. The interesting point is that the nonlinear term f is involved with the first-order derivative explicitly.

PERIODIC SOLUTIONS FOR DISCRETE ONE-PREDATOR TWO-PREY SYSTEM WITH THE MODIFIED LESLIE-GOWER FUNCTIONAL RESPONSE

  • Shi, Xiangyun;Zhou, Xueyong;Song, Xinyu
    • Journal of applied mathematics & informatics
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    • 제27권3_4호
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    • pp.639-651
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    • 2009
  • In this paper, we study a discrete Leslie-Gower one-predator two-prey model. By using the method of coincidence degree and some techniques, we obtain the existence of at least one positive periodic solution of the system. By linalization of the model at positive periodic solution and construction of Lyapunov function, sufficient conditions are obtained to ensure the global stability of the positive periodic solution. Numerical simulations are carried out to explain the analytical findings.

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병렬 구조의 블룸필터 설계 (The Construction of A Parallel type Bloom Filter)

  • 장영달;김지홍
    • 한국정보통신학회논문지
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    • 제21권6호
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    • pp.1113-1120
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    • 2017
  • 최근 정보통신 기술의 발달로 인하여 데이터의 양이 점차 증가하고 있으며, 이에 대한 처리와 관련된 연구가 활발히 진행되고 있다. 주어진 집합 내에 특정 개체의 존재여부를 알기위해 사용되고 있는 블룸필터는 데이터의 공간 활용에 매우 유용한 구조이다. 본 논문에서는 블룸필터의 긍정오류확률에 대한 요인분석과 함께, 긍정오류를 최소화 시키기 위한 방안으로 병렬구조 방식의 블룸필터를 제안한다. 일반 블룸필터의 최소 긍정오류확률값을 가질 수 있도록 구현된 병렬 불룸필터 방식은 일반 블룸필터 크기의 메모리와 유사한 크기를 사용하지만, 해쉬함수별로 병렬 처리함으로서, 속도를 높일 수 있다는 장점을 가진다. 또한 완전 해쉬함수를 사용하는 경우에는 삽입뿐 아니라, 삭제도 가능하다는 장점을 가진다.

운동프로그램이 성인여성의 체력, 심폐기능 및 생활만족도에 미치는 효과 (The Effects of an Exercise Program on Physical Fitness, Cardiopulmonary Function and Life Satisfaction for Adult Women)

  • 장춘자;유재희;이명희;김차남;인희교;이군자
    • 지역사회간호학회지
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    • 제16권2호
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    • pp.177-185
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    • 2005
  • Purpose: This study was to examine the effects of an exercise program on physical fitness, cardiopulmonary function and life satisfaction for adult women. Method: The exercise program combined dance and resistance training. The subject group consisted of 114 women aged between 33 and 60. Three 8-week sessions consisted of 55-80% HR max for 60-90 minutes a day and 3 times a week from March to November, 2004. Data were collected through pre- and post-exercise tests before and after each session. Data were collected with dynamometer, sphygmomamometer, spirometer and structured questionnaires. Data were analyzed employing descriptive statistics and paired t-test with SPSS/PC(10.0version) program. Results: There were significantly positive changes in muscle strength, flexibility, balance quality, forced vital capacity and life satisfaction, but no significantly positive changes in agility and blood pressure. Conclusion: This study showed that an exercise program has partially positive effects for adult women. The results of this study suggest that there should be programs of continuous exercise at community health centers for adult women's health.

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Association of heavy metal complex exposure and neurobehavioral function of children

  • Minkeun Kim;Chulyong Park;Joon Sakong;Shinhee Ye;So young Son;Kiook Baek
    • Annals of Occupational and Environmental Medicine
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    • 제35권
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    • pp.23.1-23.14
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    • 2023
  • Background: Exposure to heavy metals is a public health concern worldwide. Previous studies on the association between heavy metal exposure and neurobehavioral functions in children have focused on single exposures and clinical manifestations. However, the present study evaluated the effects of heavy metal complex exposure on subclinical neurobehavioral function using a Korean Computerized Neurobehavior Test (KCNT). Methods: Urinary mercury, lead, cadmium analyses as well as symbol digit substitution (SDS) and choice reaction time (CRT) tests of the KCNT were conducted in children aged between 10 and 12 years. Reaction time and urinary heavy metal levels were analyzed using partial correlation, linear regression, Bayesian kernel machine regression (BKMR), the weighted quantile sum (WQS) regression and quantile G-computation analysis. Results: Participants of 203 SDS tests and 198 CRT tests were analyzed, excluding poor cooperation and inappropriate urine sample. Partial correlation analysis revealed no association between neurobehavioral function and exposure to individual heavy metals. The result of multiple linear regression shows significant positive association between urinary lead, mercury, and CRT. BMKR, WQS regression and quantile G-computation analysis showed a statistically significant positive association between complex urinary heavy metal concentrations, especially lead and mercury, and reaction time. Conclusions: Assuming complex exposures, urinary heavy metal concentrations showed a statistically significant positive association with CRT. These results suggest that heavy metal complex exposure during childhood should be evaluated and managed strictly.