• Title/Summary/Keyword: Relation Function

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BOOLEAN MULTIPLICATIVE CONVOLUTION AND CAUCHY-STIELTJES KERNEL FAMILIES

  • Fakhfakh, Raouf
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.2
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    • pp.515-526
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    • 2021
  • Denote by ��+ the set of probability measures supported on ℝ+. Suppose V�� is the variance function of the Cauchy-Stieltjes Kernel (CSK) family ��-(��) generated by a non degenerate probability measure �� ∈ ��+. We determine the formula for variance function under boolean multiplicative convolution power. This formula is used to identify the relation between variance functions under the map ${\nu}{\mapsto}{\mathbb{M}}_t({\nu})=({\nu}^{{\boxtimes}(t+1)})^{{\uplus}{\frac{1}{t+1}}}$ from ��+ onto itself.

Water Physiology of Panax ginseng Charcteristics of reproductit.e organs and precipitation rate and humidity of shade system. (인삼의 수분생리 II. 생식기관의 특성과 일복의 누수량 및 습도)

  • Park, Hoon
    • Journal of Ginseng Research
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    • v.6 no.1
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    • pp.84-99
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    • 1982
  • Water content and its seasonal change in reprodltctive organs were reviewed in relation to cultivation practice s. Precipitati on and humidity under shade roof were reviewed in relation to shading ,jystem and environmental factors. High water content of reproductive organs suggests vulnerability to water stress during reproductive growth stage. Watering during dehisconce treat menu seems to keep optimum temperature but cnoventional practice seems to be too often In watering. Information effe on water physiology of seeds is too rare to develop seed storing method and ctive seed use. Dehiscent mechanism was considered in terms of water absorption of embryo. Precipitation rate of conventional shade roof reaclled to 38% and at line level 50% and varied with shade patterns. Precipitation rate under shade has been investigated for itself but should be investigated in relation to light intensity and soil moisture content Relative humidity under shade depends mainly on air humidity and soil moisture, considerably on shade materials and lithe on pole height, bed width or plant density. Since relative humidity was lower in afternoon it was often less than 50% even in summer with high temperature suggesting possible disorder of phi biological function especially in photosynthesis. More information was needed on optimum humidity for productive physiological function of leaf.

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Generation of Three Dimensional Road Surface Profiles with Considering Coherence Relation (노면 상관도를 고려한 3차원 노면형상 생성에 관한 연구)

  • Kim, Kwang-Suk
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.5
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    • pp.917-922
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    • 2009
  • This paper presents a technique to generate road surface profiles in a spatial domain using a power spectral density function. A single track power spectral density function is proposed to describe a road surface profile, which is also applicable for multi-track vehicle response analysis. The roads in lateral direction makes the relation between the coherence of the lateral tracks. The derived road surfaces are compared to ISO(International Organization for Standardization) standards. Generated road profiles are in good agreements with the target road PSD shape and measured coherence relation.

Some Study on Time Dependent Correlation Function and Its Applications (Time Dependent Correlation Function과 그의 응용에 관한 연구)

  • 안수길
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.10 no.6
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    • pp.25-44
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    • 1973
  • The please relation between motive force and result is reviewed in view point of the correlation function as well as the redundancy in a continuous signal which permits the sampled treatment. A new correlation function (to be named Time Dependent Correlation Function) which is a functon of time, is defined in order to indicate the variation of the correlation between two signals. As application a phase looked loop is analysed which shows the increase of correlation between input signal and output signal of the loop after the application of the input signal. Finally again the T.D.Correlation Function method is used to show how the polyphase envelope detection-method is justifiable by this method.

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The Seasonal and Interannual Variability of the Volume Transport through the Western Channel of the Korea Strait

  • Kim, Young-Ju;Takikawa, Tetsutaro;An, Hui-Soo;Yoon, Jong-Hwan
    • Journal of the korean society of oceanography
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    • v.39 no.3
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    • pp.155-162
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    • 2004
  • The variation of volume transport during the period from 1965 to 2000 through the western channel of the Korea Strait was estimated by obtaining an relation function between the ADCP volume transport and the geostrophic volume transport estimated by the sea level difference between Pusan and Izuhara. The estimated climatological mean volume transport during past 36 years has seasonal variation with a minimum of 1.15 Sv in February and a maximum of 1.88 Sv in October. The mean volume transport for 36 years is 1.51 Sv. The annual mean volume transport has an interannual variation with a minimum of 1.26 Sv in 1968 and maximum of 1.90 Sv in 1973, with three dominant periods of variations of 14.96 years, 4.96 years and 2.99 years.

An Analytical Modeling for Bridging Stress Function Involving Grain Size Distribution in a Polycrystalline Alumina (다결정 알루미나에서 결정립 크기 분포를 포함하는 Bridging 응력함수의 해석적 모델링)

  • 손기선;이성학;백성기
    • Journal of the Korean Ceramic Society
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    • v.31 no.12
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    • pp.1449-1458
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    • 1994
  • A new analytical model which can discribe the relationship between the bridging stress and the crack opening displacement was proposed to investigate the microstructural effect on the R-curve behavior in a polycrystalline alumina. The crack opening displacement according to the distance behind the stationary crack tip was measured using in-situ fracture technique in an SEM, and then used for a fitting procedure to obtain the distribution of bridging stress. The current model and an empirical power law relation were introduced into the fitting procedure. The results indicated that the bridging stress function and R-curve computed by the current model were consistent with those computed by the power law relation. The microstructural factor, e.g., the distribution of grain size, was also found to be closely related to the bridging stress. Thus, this model explained well the interaction effect between the distribution of bridging stress and the local-fracture-controlling microstructure, providing important information for the systematic interpretation of microfracture mechanism including R-curve behavior of a monolithic alumina.

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TEMPERATURE FLUCTUATION AND EXPECTED LIMIT OF HUBBLE PARAMETER IN THE SELF-CONSISTENT MODEL

  • Morcos, A.B.
    • Journal of The Korean Astronomical Society
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    • v.39 no.4
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    • pp.81-87
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    • 2006
  • A relation between temperature and time has been constructed in the self-consistent model(SCM). This relation is used to calculate the a CMBR temperature. This temperature has been found to be 2.9K. The temperature gradient of microwave background radiation(CMBR) is calculated in the Self Consistent Model. Two relations between Hubble parameter and time derivative of the temperature, have been presented in two different cases. In the first case the temperature is treated as a function of time only, while in the other one, it is assumed to be a function in time and solid angle, beside the assumption that the universe expands adiabatically.

An Evaluation on the Degrees of Satisfaction of Product with Hierarchical Quality Structure Using Possibility Distribution Function (가능성분포함수를 이용한 계층적 품질구조를 가진 제품의 만족도 평가)

  • 김정만
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.21 no.46
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    • pp.173-180
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    • 1998
  • In conventional probability-based quality evaluation of products with qualitative characteristics, many factors that affect the evaluation are not easily represented quantitatively, because the relation between reliability of human evaluator and each of these factors is not clear. In order to evaluate the quality of product with qualitative characteristics quantitatively, in this paper, the relation is represented as the shape of possibility distribution function of fuzzy set on the interval [0,1]. Furthermore, fuzzy reasoning is used to obtain the estimates of quality characteristics. And, it is supposed that many quality characteristics affected by the above factors are connected with the final characteristic through hierarchical structures. Finally, using the estimates gained from the final evaluation, qualitative characteristics are evaluated by use of concept of pattern recognition.

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TWO ZAGIER-LIFTS

  • Kang, Soon-Yi
    • Journal of the Chungcheong Mathematical Society
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    • v.30 no.2
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    • pp.183-200
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    • 2017
  • Zagier lift gives a relation between weakly holomorphic modular functions and weakly holomorphic modular forms of weight 3/2. Duke and Jenkins extended Zagier-lifts for weakly holomorphic modular forms of negative-integral weights and recently Bringmann, Guerzhoy and Kane extended them further to certain harmonic weak Maass forms of negative-integral weights. New Zagier-lifts for harmonic weak Maass forms and their relation with Bringmann-Guerzhoy-Kane's lifts were discussed earlier. In this paper, we give explicit relations between the two different lifts via direct computation.

AN INTERPOLATIVE FUZZY INFERENCE METHOD AND ITS APPLICATION

  • SHIMAKAWA, Manabu;MURAKAMI, Shuta
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.556-561
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    • 1998
  • This paper deals with our proposed fuzzy inference method, in which the fuzzy relation is represented by the membership functions of the antecedent and consequent parts, it is not used any fuzzy composition. The strong point of this method is that the membership function of an inferred conclusion has a simple shape and thus its meaning can be interpreted easily. Firstly, the proposed method is explained, and then it is applied to fuzzy modeling of distributed data.

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