• 제목/요약/키워드: frame operator

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HADAMARD-TYPE FRACTIONAL CALCULUS

  • Anatoly A.Kilbas
    • 대한수학회지
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    • 제38권6호
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    • pp.1191-1204
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    • 2001
  • The paper is devoted to the study of fractional integration and differentiation on a finite interval [a, b] of the real axis in the frame of Hadamard setting. The constructions under consideration generalize the modified integration $\int_{a}^{x}(t/x)^{\mu}f(t)dt/t$ and the modified differentiation ${\delta}+{\mu}({\delta}=xD,D=d/dx)$ with real $\mu$, being taken n times. Conditions are given for such a Hadamard-type fractional integration operator to be bounded in the space $X^{p}_{c}$(a, b) of Lebesgue measurable functions f on $R_{+}=(0,{\infty})$ such that for c${\in}R=(-{\infty}{\infty})$, in particular in the space $L^{p}(0,{\infty})\;(1{\le}{\le}{\infty})$. The existence almost every where is established for the coorresponding Hadamard-type fractional derivative for a function g(x) such that $x^{p}$g(x) have $\delta$ derivatives up to order n-1 on [a, b] and ${\delta}^{n-1}[x^{\mu}$g(x)] is absolutely continuous on [a, b]. Semigroup and reciprocal properties for the above operators are proved.

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Pascual-Leone의 신 피아제 이론에 의한 오개념의 본질에 대한 심리학적 접근 (Psychological Approach on Common Core of Misconceptions by Pascual-Leone's neo Piagetian Theory.)

  • 안수영;권재술
    • 한국과학교육학회지
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    • 제15권2호
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    • pp.185-193
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    • 1995
  • The purpose of this article is to find out psychological mechanism on the core of misconceptions. Theoretical frame to search for the core of misconceptions is based on the Pascual-Leone's neo Piagetian theory. Although Pascual-Leone's theory is a cognitive developmental theory, its psychological mechanism gives us new insights on misconception. According to the comparison between Pascual-Leone's psychological mechanism and the common specifics of misconceptions and their items, conclusions could be summarized as follows: 1) Children's misconceptions and LC learning structures have the same nature. 2) Structures in items of misconceptions and misleading factor structures in cognitive tasks affect mental process with the same mechanism. 3) LC learning structures was activated preferentially in knowledge structures by F operator, with the same activation mechanism, the process children's misconceptions was activated firstly among other conceptions could be explained.

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컴퓨터 시각을 이용한 계란 표면의 결함 검출 (Detection of Surface Defects in Eggs Using Computer Vision)

  • 조한근;권양
    • Journal of Biosystems Engineering
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    • 제20권4호
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    • pp.368-375
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    • 1995
  • A computer vision system was built to generate images of a stationary egg. This system includes a. CCD camera, a frame grabber, and an incandescent back lighting system An image processing algorithm was developed to accurately detect surface holes and surface cracks on eggs. With 20W of incandescent back light, the detection rate was shown to be the highest. The Sobel operator was found to be the best among various enhancing filters examined. The threshold value to distinguish between the crack and the translucent spots was found to be linear with the average gray level of a whole egg image. Those values of both gray level and area were used as criteria to detect holes in egg and those values of both area and roundness were used to detect cracks in egg. For a sample of 300 eggs, this system was able to correctly analyze an egg for the presence of a defect 97.5% of the time. On the average, it took 59.5 seconds to analyze an egg image and determine whether or not it was defected.

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Hybrid evolutionary identification of output-error state-space models

  • Dertimanis, Vasilis K.;Chatzi, Eleni N.;Spiridonakos, Minas D.
    • Structural Monitoring and Maintenance
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    • 제1권4호
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    • pp.427-449
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    • 2014
  • A hybrid optimization method for the identification of state-space models is presented in this study. Hybridization is succeeded by combining the advantages of deterministic and stochastic algorithms in a superior scheme that promises faster convergence rate and reliability in the search for the global optimum. The proposed hybrid algorithm is developed by replacing the original stochastic mutation operator of Evolution Strategies (ES) by the Levenberg-Marquardt (LM) quasi-Newton algorithm. This substitution results in a scheme where the entire population cloud is involved in the search for the global optimum, while single individuals are involved in the local search, undertaken by the LM method. The novel hybrid identification framework is assessed through the Monte Carlo analysis of a simulated system and an experimental case study on a shear frame structure. Comparisons to subspace identification, as well as to conventional, self-adaptive ES provide significant indication of superior performance.

Face Tracking Using Skin-Color and Robust Hausdorff Distance in Video Sequences

  • Park, Jungho;Park, Changwoo;Park, Minyong
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1999년도 추계종합학술대회 논문집
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    • pp.540-543
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    • 1999
  • We propose a face tracking algorithm using skin-color based segmentation and a robust Hausdorff distance. First, we present L*a*b* color model and face segmentation algorithm. A face is segmented from the first frame of input video sequences using skin-color map. Then, we obtain an initial face model with Laplacian operator. For tracking, a robust Hausdorff distance is computed and the best possible displacement t. is selected. Finally, the previous face model is updated using the displacement t. It is robust to some noises and outliers. We provide an example to illustrate the proposed tracking algorithm in video sequences obtained from CCD camera.

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Display System Design Based On The Abstraction Hierarchy

  • Sohn, Kwang-Young;Shin, Hyun-Kook
    • Nuclear Engineering and Technology
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    • 제28권3호
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    • pp.339-348
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    • 1996
  • Plant monitoring algorithm developments seem to be saturated which means that display system to show the results from the algorithm should be the well-defined and interactive tools for operator's diagnosing, controlling, restoring the abnormal plant situations. On the other hand, very little generalized display design concepts and evaluations are available. Events that are unfamiliar to operators and that has not been anticipated by designers may cause great threats to the nuclear power plant system safety operation. The abstraction hierarchy, considered most popular display design methodology but not generalized for nuclear power plant design space, has ken proposed as a representation frame work that can be adopted to design interfaces and supports operators in diagnosing overlooked events that should have been considered to operate plant safely. However most practical plant display systems do not fully stick to this design concept but partially rely on their philosophy from design experiences. Abstraction hierarchy display design concept will be do scribed and the trend of Advanced Control Room(ACR) CRT design will also be presented with the conventional display for the several type of plants. Consequently this complementary material should be of interest to designer and regulators concerned with nuclear power plant.

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The Semantics of the English Progressive and the Imperfective Paradox

  • Yeom, Jae-Il
    • 한국언어정보학회지:언어와정보
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    • 제7권2호
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    • pp.139-161
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    • 2003
  • The progressive in English is taken to be an operator which takes a non-stative predicate and returns a predicate which denotes a process with a temporal frame around some definite time or event. When, it is combined with a predicate which has a culmination in the event, the sentence means that the culmination has not come yet. So the event denoted by the base predicate is not true at the current time. On the other hand, when it is combined with a predicate which has no culmination in the event, the event denoted by the base predicate is taken to be true. In this paper, this is explained by the semantics of the progressive based on the notion of contributiveness. I propose that a progressive sentence is verified by some subevents which are contributive to the current situation and the progress of the event beyond the threshold level of the event denoted by the base predicate. A sub-situation is contributive if the addition of it to the previous situation is more likely to lead to the whole situation than the previous situation.

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복합 재난을 위한 장갑형 로봇의 차체 설계 (Vehicle Body Design of Armored Robot for Complex Disaster)

  • 박상현;김무림;김영렬;김도익;김준식;신동빈;서진호
    • 로봇학회논문지
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    • 제13권4호
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    • pp.248-255
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    • 2018
  • In this paper, a design for a vehicle body of an armored robot for complex disasters is described. The proposed design considers various requirements in complex disaster situations. Fire, explosion, and poisonous gas may occur simultaneously under those sites. Therefore, the armored robot needs a vehicle body that can protect people from falling objects, high temperature, and poisonous gas. In addition, it should provide intuitive control devices and realistic surrounding views to help the operator respond to emergent situations. To fulfill these requirements of the vehicle body, firstly, the frame was designed to withstand the impact of falling objects. Secondly, the positive pressure device and the cooling device were applied. Thirdly, a panoramic view was implemented that enables real-time observation of surroundings through a number of image sensors. Finally, the cockpit in the vehicle body was designed focused on the manipulability of the armored robot in disaster sites.

QUALITATIVE ANALYSIS FOR FRACTIONAL-ORDER NONLOCAL INTEGRAL-MULTIPOINT SYSTEMS VIA A GENERALIZED HILFER OPERATOR

  • Mohammed N. Alkord;Sadikali L. Shaikh;Saleh S. Redhwan;Mohammed S. Abdo
    • Nonlinear Functional Analysis and Applications
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    • 제28권2호
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    • pp.537-555
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    • 2023
  • In this paper, we consider two types of fractional boundary value problems, one of them is an implicit type and the other will be an integro-differential type with nonlocal integral multi-point boundary conditions in the frame of generalized Hilfer fractional derivatives. The existence and uniqueness results are acquired by applying Krasnoselskii's and Banach's fixed point theorems. Some various numerical examples are provided to illustrate and validate our results. Moreover, we get some results in the literature as a special case of our current results.

INVESTIGATION OF A NEW COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS IN FRAME OF HILFER-HADAMARD

  • Ali Abd Alaziz Najem Al-Sudani;Ibrahem Abdulrasool hammood Al-Nuh
    • Nonlinear Functional Analysis and Applications
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    • 제29권2호
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    • pp.501-515
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    • 2024
  • The primary focus of this paper is to thoroughly examine and analyze a coupled system by a Hilfer-Hadamard-type fractional differential equation with coupled boundary conditions. To achieve this, we introduce an operator that possesses fixed points corresponding to the solutions of the problem, effectively transforming the given system into an equivalent fixed-point problem. The necessary conditions for the existence and uniqueness of solutions for the system are established using Banach's fixed point theorem and Schaefer's fixed point theorem. An illustrate example is presented to demonstrate the effectiveness of the developed controllability results.