• 제목/요약/키워드: differential distribution

검색결과 786건 처리시간 0.032초

ON THE GROWTH OF ALGEBROID SOLUTIONS OF ALGEBRAIC DIFFERENTIAL EQUATIONS

  • Manli Liu;Linlin Wu
    • 대한수학회보
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    • 제61권3호
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    • pp.597-610
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    • 2024
  • Using the Nevanlinna value distribution theory of algebroid functions, this paper investigates the growth of two types of complex algebraic differential equation with algebroid solutions and obtains two results, which extend the growth of complex algebraic differential equation with meromorphic solutions obtained by Gao [4].

Differential Mobility Analyzer(DMA)와 Condensation Nuclei Counter(CNC)를 이용한 입자크기 분포 측정에서 샘플링 튜브와 CNC에서의 혼합 효과가 입자 크기 분포 측정에 미치는 영향에 관한 연구 (Study on the Contribution of Mixing Effects in Sampling Tube and Condensation Nuclei Counter(CNC) to the measurement of size distribution obtained using Differential Mobility Analyzer and CNC)

  • 이윤수;안강호
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집D
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    • pp.104-109
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    • 2001
  • The time to measure the size distribution using Condensation Nuclei Counter(CNC) and Differential Mobility Analyzer(DMA) can be shortened by classifying particles ramping the DMA voltage exponentially and continuously. In measurement, particles sampled at different time are mixed together going through sampling tube and CNC. Because the size distribution is inversed by using detector responses to sampling time intervals in this accelerated method, the mixing effects give inversion errors to the size distribution. The mixing effects can be considered by appling the transfer function with mixing effects to the data inversion. The inversion considering this effects gives birth to the size distribution shifted to the opposite direction of the size scanning.

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THE PROPERLY SUPPORTED GENERALIZED PSEUDO DIFFERENTIAL OPERATORS

  • Kang, Buhyeon
    • 충청수학회지
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    • 제28권2호
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    • pp.269-286
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    • 2015
  • In this paper, we extend the concept of the pseudo differential operators in the usual Schwartz's distribution spaces to the one of the generalized pseudo differential operators in the Beurling's generalized distribution spaces. And we shall investigate some properties of the generalized pseudo differential operators including the generalized pseudo local property. Finally, we will study the smoothness and properly supported property of these operators.

THE ZEROS DISTRIBUTION OF SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS IN AN ANGULAR DOMAIN

  • Huang, Zhibo;Chen, Zongxuan
    • 대한수학회보
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    • 제47권3호
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    • pp.443-454
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    • 2010
  • In this paper, we investigate the zeros distribution and Borel direction for the solutions of linear homogeneous differential equation $f^{(n)}+A_{n-2}(z)f^{(n-2)}+{\cdots}+A_1(z)f'+A_0(z)f=0(n{\geq}2)$ in an angular domain. Especially, we establish a relation between a cluster ray of zeros and Borel direction.

ON THE VALUE DISTRIBUTION OF DIFFERENTIAL POLYNOMIALS

  • Bhoosnurmath, Subhas S.;Kulkarni, Milind Narayanrao;Yu, Kit-Wing
    • 대한수학회보
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    • 제45권3호
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    • pp.427-435
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    • 2008
  • In this paper we consider the problem of whether certain homogeneous or non-homogeneous differential polynomials in f(z) necessarily have infinitely many zeros. Particularly, this extends a result of Gopalakrishna and Bhoosnurmath [3, Theorem 2] for a general differential polynomial of degree $\bar{d}$(P) and lower degree $\underline{d}$(P).

Opposition Based Differential Evolution Algorithm for Capacitor Placement on Radial Distribution System

  • Muthukumar, R.;Thanushkodi, K.
    • Journal of Electrical Engineering and Technology
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    • 제9권1호
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    • pp.45-51
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    • 2014
  • Distribution system is a critical link between customer and utility. The control of power loss is the main factor which decides the performance of the distribution system. There are two methods such as (i) distribution system reconfiguration and (ii) inclusion of capacitor banks, used for controlling the real power loss. Considering the improvement in voltage profile with the power loss reduction, later method produces better performance than former method. This paper presents an advanced evolutionary algorithm for capacitor inclusion for loss reduction. The conventional sensitivity analysis is used to find the optimal location for the capacitors. In order to achieve a better approximation for the current candidate solution, Opposition based Differential Evolution (ODE) is introduced. The effectiveness of the proposed technique is validated through 10, 33, 34 and85-bus radial distribution systems.

인공 경량골재를 사용한 콘크리트의 부등 건조수축에 관한 실험적 연구 (An Experimental Study on The Differential Dry Shrinkage of Concrete Using Artificial Lightweight Aggregate)

  • 이창수;김영욱;림연
    • 한국재난정보학회 논문집
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    • 제6권1호
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    • pp.78-90
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    • 2010
  • Exposure to the outside, the concrete is differential moisture distribution depending on the depth. Such a differential moisture distribution causes the differential drying shrinkage in concrete structures. This thesis is researched to compare the shrinkage of lightweight concrete depending on depth to normal concrete. It is used artificial lightweight aggregate which has 20% of pre-absorb value by lightweight concrete. When water-binder ratio is 30%, average shrinkage of lightweight concrete section decreased than normal concrete, but differential shrinkage of lightweight concrete section increased. However water-binder ratio is 40% and 50% average shrinkage and differential shrinkage of lightweight concrete section decreased than normal concrete.

콘크리트의 부등건조수축에 관한 연구 (Prediction of Differential Drying Shrinkage in Concrete)

  • 김진근;이칠성
    • 콘크리트학회지
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    • 제9권2호
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    • pp.153-161
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    • 1997
  • 콘크리트가 외기에 노출되면 수분확산 현상으로 수분의 이동이 일어나고, 콘크리트 내부는 부등수분분포상태가 된다. 이러한 부등수분분포에 의하여 콘크리트 구조물에는 부등건조수축이 발생하며, 부등건조수축은 콘크리트 표면에 인장응력을 발생시키고, 표면균열의 원인이 되기도 한다. 또한 부등건조수축으로 인한 잔류응력은 현저한 크리이프의 영향을 받고, 이 때 각 위치에서 수분의 차이로 인하여 부등크리이프가 발생한다. 따라서 이 연구에서는 수분확산이론을 근거로 하여 콘크리트 내부의 수분분포를 합리적으로 예측할 수 있는 해석프로그램을 개발하였다. 그리고 콘크리트 내부의 각 위치에서 부등크리이프의 영향을 고려한 부등건조수축 해석방법을 제시하였다. 또한 콘크리트 내부의 각 위치에서의 부등건조수축 측정실험을 실시하여, 부등건조수축 해석방법의 타당성을 검증하였다.

SOME IDENTITIES INVOLVING THE GENERALIZED POLYNOMIALS OF DERANGEMENTS ARISING FROM DIFFERENTIAL EQUATION

  • RYOO, CHEON SEOUNG
    • Journal of applied mathematics & informatics
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    • 제38권1_2호
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    • pp.159-173
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    • 2020
  • In this paper we define a new generalized polynomials of derangements. It also derives the differential equations that occur in the generating function of the generalized polynomials of derangements. We establish some new identities for the generalized polynomials of derangements. Finally, we perform a survey of the distribution of zeros of the generalized polynomials of derangements.

SOME IDENTITIES INVOLVING THE DEGENERATE BELL-CARLITZ POLYNOMIALS ARISING FROM DIFFERENTIAL EQUATION

  • SEO, JONG JIN;RYOO, CHEON SEOUNG
    • Journal of applied mathematics & informatics
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    • 제38권5_6호
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    • pp.427-438
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    • 2020
  • In this paper we define a new degenerate Bell-Carlitz polynomials. It also derives the differential equations that occur in the generating function of the degenerate Bell-Carlitz polynomials. We establish some new identities for the degenerate Bell-Carlitz polynomials. Finally, we perform a survey of the distribution of zeros of the degenerate Bell-Carlitz polynomials.