• 제목/요약/키워드: Relative alpha

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A NOTE ON THE INTEGRAL REPRESENTATIONS OF GENERALIZED RELATIVE ORDER (𝛼, 𝛽) AND GENERALIZED RELATIVE TYPE (𝛼, 𝛽) OF ENTIRE AND MEROMORPHIC FUNCTIONS WITH RESPECT TO AN ENTIRE FUNCTION

  • Biswas, Tanmay;Biswas, Chinmay
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제28권4호
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    • pp.355-376
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    • 2021
  • In this paper we wish to establish the integral representations of generalized relative order (𝛼, 𝛽) and generalized relative type (𝛼, 𝛽) of entire and meromorphic functions where 𝛼 and 𝛽 are continuous non-negative functions defined on (-∞, +∞). We also investigate their equivalence relation under some certain condition.

SUM AND PRODUCT THEOREMS RELATING TO GENERALIZED RELATIVE ORDER (𝛼, 𝛽) AND GENERALIZED RELATIVE TYPE (𝛼, 𝛽) OF ENTIRE FUNCTIONS

  • Biswas, Tanmay;Biswas, Chinmay;Saha, Biswajit
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제28권2호
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    • pp.155-185
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    • 2021
  • Orders and types of entire functions have been actively investigated by many authors. In this paper, we investigate some basic properties in connection with sum and product of generalized relative order (𝛼, 𝛽), generalized relative type (𝛼, 𝛽) and generalized relative weak type (𝛼, 𝛽) of entire functions with respect to another entire function where 𝛼, 𝛽 are continuous non-negative functions on (-∞, +∞).

GENERALIZED RELATIVE ORDER (α, β) BASED SOME GROWTH ANALYSIS OF COMPOSITE ENTIRE FUNCTIONS

  • Biswas, Tanmay;Biswas, Chinmay
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제29권2호
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    • pp.125-139
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    • 2022
  • In this paper we wish to establish some results relating to the growths of composition of two entire functions with their corresponding left and right factors on the basis of their generalized relative order (α, β) and generalized relative lower order (α, β) where α and β are continuous non-negative functions defined on (-∞, +∞).

청각 및 후각자극에 의한 뇌파(EEG)와 진동이미지기술의 상관성 분석에 관한 연구 (A Study on the Correlation Analysis of EEG and Vibraimage due to Auditory and Olfactory Stimulation)

  • 김정민;김명호
    • 한국산학기술학회논문지
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    • 제16권6호
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    • pp.4291-4297
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    • 2015
  • 실내공간에서 인간의 쾌적감 및 불쾌적감 등의 감성을 측정하기 위하여 뇌파(EEG)측정을 많이 사용하고 있으나, 뇌파(EEG)측정은 접촉식으로써 실험에 제한적이다. 그러나 진동이미지기술은 웹캠 카메라를 이용하여 인간의 감성을 측정할 수 있는 비접촉식 방법으로써 실내공간에 적용하기에 적합하다고 판단된다. 따라서 인간의 감성을 측정할 수 있는 접촉식인 뇌파(EEG)와 비접촉식인 진동이미지기술의 상관변수를 도출하고자 한다. 본 연구에서는 소리크기 60[dB] 및 90[dB]과 로즈마리 및 쟈스민 향기에 대한 피험자의 뇌파(EEG)와 진동이미지기술의 상관분석을 하였다. 피험자는 건강상태를 점검하여 대학생 남자 3명으로 선별하여 10회 반복 실험하였고, 실험기간은 약 한 달간 진행되었으며, 측정실의 조건은 온도 25[$^{\circ}C$], 상대습도 50[%], 조도 1.000[lux] 및 기류속도 0.02[m/sec]로 하였다. 뇌파(EEG) 23가지 지표(절대${\theta}$, 상대${\theta}$, 절대$S{\alpha}$, 상대$S{\alpha}$, 절대${\alpha}$, 상대${\alpha}$, 절대${\beta}$, 상대${\beta}$, 절대$\gamma$, 상대$\gamma$, 절대$F{\alpha}$, 상대$F{\alpha}$, 절대SMR, 상대SMR, $SMR/{\theta}$, $SMR+M{\beta}/{\theta}$, 절대$H{\beta}$, 상대$H{\beta}$, $H{\beta}/{\alpha}$, 절대$M{\beta}$, 상대$M{\beta}$, SEF50, ASEF50)와 진동이미지기술 10가지 지표(긴장/불안, 억제, 신경과민증, 밸런스, 매력, 자신감, 의심, 스트레스, 공격성, 에너지)를 상관 분석한 결과 뇌파(EEG)의 상대${\gamma}$파와 진동이미지기술의 신경과민증 지표가 (${\pm}$).414와 (${\pm}$).424로 높은 정적상관관계로 분석되었다.

CLOSED IDEALS IN A SEMIFINITE, INFINITE VON NEUMANN ALGEBRA, ARISING FROM RELATIVE RANKS OF ITS ELEMENTS

  • Lee, Sa-Ge;Kim, Sang-Moon;Chi, Dong-Pyo
    • 대한수학회보
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    • 제21권2호
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    • pp.107-113
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    • 1984
  • Throughout the paper let A be a semifinite, infinite von Neumann algebra acting on a Hilbert space H, .alpha. an infinite cardinal. The main purpose of our work is to give several characterizations of a class of closed ideals in A, by introducing the notions of relative ranks of elements in A and the relative .alpha.-topology on H. The relative .alphi.-topology is an analogue to the .alpha.-topology that we have defined in ([7], [8]). The present work is regarded as an extension of [7], [8] and motivated by works of M. Breuer ([1], [2]), V. Kaftal ([5], [6]) and M.G. Sonis [9].

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SOME REMARKS ON THE GROWTH OF COMPOSITE p-ADIC ENTIRE FUNCTION

  • Biswas, Tanmay;Biswas, Chinmay
    • Korean Journal of Mathematics
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    • 제29권4호
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    • pp.715-723
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    • 2021
  • In this paper we wish to introduce the concept of generalized relative index-pair (𝛼, 𝛽) of a p-adic entire function with respect to another p-adic entire function and then prove some results relating to the growth rates of composition of two p-adic entire functions with their corresponding left and right factors.

렌즈에서 UV 차단효과의 평가방법 및 적용 (The Estimation Method and Application of UV-cut effect in Lens)

  • 김용근
    • 한국안광학회지
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    • 제6권1호
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    • pp.107-110
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    • 2001
  • 렌즈에서 UV-A선의 차단효율을 평가하기 위해 320~400nm 영역에서 광 투과율을 측정하였다. 기준 CR-39와 sample을 320~400nm 영역에서 광 투과율을 적분하여 면적을 구하였으며, 이들의 면적 대비로 UV-A 차단효율 factor ${\alpha}$, ${\beta}$를 설정하였다. CR-39 렌즈의 질대 차단효율 ${\alpha}$ CR=0.59 값을 얻었다. UV-A 차단효과를 평가할 렌즈의 절대차단효율 ${\alpha}$ 값이면 상대차단효율 ${\beta}$ 값은 $1.69{\alpha}$ 값을 얻었다. 절대적 및 상대적 UV 제거 지수는 각각 $a=(1-{\alpha}){\times}100%$, $b=(1-{\beta}){\times}100%$을 이용하여 얻었다.

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Indomethacin이 4-Nitroquinoline-N-Oxide(4-NQO) 유도 백서 구개암 발암과정에서 prostaglandins에 미치는 영향에 관한 연구 (THE EFFECT OF INDOMETHACIN ON PROSTAGLANDINS IN 4-NITROQUINOLINE-N-OXIDE (4-NQO) INDUCED PALATAL CARCINOMA OF ALBINO RATS)

  • 김영수
    • Maxillofacial Plastic and Reconstructive Surgery
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    • 제11권1호
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    • pp.187-202
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    • 1989
  • This study was undertaken to investigate the effect of indomethacin on prostaglandins in 4-Nitroquinoline-N-Oxide (4-NQO) induced palatal carcinoma of albino rats. 128 Sprague-Dawley strain albino rats-about 100g in body weight-were used in this study, divided into as belows; 1. Normal group (16-albino rats) with no treatment, 2. Control group (16-albino rats) treated with prophylene application onto palatal mucosa 3 times a week. 3. Experimental group I (48-albino rats) treated with 0.5% 4-NQO in prophylene application onto palatal mucosa 3 times a week. 4. Experimental group II (48-albino rats) treated with 0.5% 4-NQO in prophylene application with administered $20{\mu}g/ml$ of indomethacin in drinking water ad. lib. Four animals were sacrificed 7th, 13th, 19th, and 25th week respectively in normal and control group, and 7th, 9th, 11th, 13th, 15th, 17th, 19th, 21st, 23rd, 25th, 27th and 29th week respectively in experimental group I and II at each time. The palatal and lingual tissues were excised and kept frozen at $-70^{\circ}C$. Densitometer scan and Beta-counting counter were used for the thin layer chromatography of the arachidonic acid metabolites. The obtained results were as belows; 1. In normal and control group, there was little change of the arachidonic acid metabolites during experiment period, and the tissue homogenates included prostaglandin $D_2$, 6-keto-prostaglandin $F_{1{\alpha}}$, prostaglandin $E_2$, thromboxane $B_2$, prostaglandin $F_{2{\alpha}}$ in that order of relative abundances. 2. In experimental group I, prostaglandin $D_2$, and prostaglandin $E_2$ were increased, while 6-keto-prostaglandin $F_{1{\alpha}}$ and thromboxane $B_2$ were decreased in relative abundances of arachidonic acid metabolites. And there was little change in prostaglandin $F_{1{\alpha}}$ 3. In experimental group II, prostaglandin $D_2$, and prostaglandin $E_2$ were increased, while 6-keto-prostaglandin $F_{1{\alpha}}$ and thromboxane $B_2$ were decreased in relative abundances of arachidonic acid metabolites. And there was little change in prostaglandin $F_{2{\alpha}}$ also. 4. In the range of increase in prostaglandin $D_2$, and prostaglandin $E_2$, and that of decrease in 6-keto-prostaglandin $F_{1{\alpha}}$ and thromboxane $B_2$, in relative abundances, there was wider in experimental group I than in group II. 5. In the range of increase in prostaglandin $D_2$, and prostaglandin $E_2$, and that of decrease in 6-keto-prostaglandin $F_{1{\alpha}}$ and thromboxane $B_2$, in relative abundances, there was wider in palatal mucosa than in lingual mucosa in experimental group I and II.

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사질지반에서 액상화 저항에 대한 선행전단응력의 영향 (Preshear Influence for Liquefaction Resistance in Sand)

  • 윤여원;김한범;김방식
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2003년도 봄 학술발표회 논문집
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    • pp.315-322
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    • 2003
  • Cyclic simple shear tests were performed to find out the effect of preshear on dynamic strength of the sandy soil. Tests were performed for the specimens with 40% and 60% of relative density, under three different effective vertical stress of 50, 100 and 200kPa. For 50 and 100kPa, preshear ratios 0.00, 0.08, 0.12 and 0.16 were given, respectively, For low and high relative densities, two different results are shown in dynamic tests. Under the dense conditions, the maximum shear stress ratio($\tau$$\_$cyc//$\sigma$$\_$vo/) and the cyclic shear stress ratio($\tau$$\_$cyc//$\sigma$$\_$vo/) causing a certain shear strain increase with augmenting preshear ratio(${\alpha}$). However, the maximum shear stress ratio and the cyclic shear stress ratio increase or decrease with increasing preshear ratio under the loose conditions. Correction factor(K$\_$${\alpha}$/) for preshear increases at an early stage and then decreases with increasing preshear ratio at loose condition and increase with increasing preshear ratio at dense condition. Correction factor (K$\_$${\alpha}$,Max/) for preshear increases with the increasing preshear ratio irrespective of relative density, and the value of has same behavior as K$\_$${\alpha}$/.

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