• 제목/요약/키워드: Pascal

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저진공, 고진공, 초고진공 영역에서의 잔류가스질량분석기 설계특성

  • Park, Chang-Jun;An, Jong-Rok;Jo, Bok-Rae;Han, Cheol-Su;An, Sang-Jeong
    • Proceedings of the Korean Vacuum Society Conference
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    • 한국진공학회 2014년도 제46회 동계 정기학술대회 초록집
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    • pp.108.2-108.2
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    • 2014
  • 잔류가스측정 질량분석기(RGA)는 진공챔버 내부의 진공상태 이상유무, 공정상태 확인 및 주입가스 농도제어 등 여러 종류의 작업에 응용되고 있다. 반도체용 박막 제조공정(PVD, CVD)에서 챔버 내의 수분 혹은 불순물 가스의 정확한 모니터링은 반도체 품질향상에 매우 중요하다. 1 Pascal 진공도의 증착용 챔버에 RGA를 직접 장착하여 작동시키기 위해서는 저진공용 RGA가 사용되어야 한다. 10-3 Pascal에서 6m 자유운동거리를 갖는 질소분자는 1 Pascal에서는 6 mm로 짧은 자유운동거리를 갖는다. 따라서 1 Pascal 저진공영역에서 이온을 생성시키고 mass filter를 사용하여 질량분석을 하기 위해서는 이온원과 mass filter 길이가 자유운동거리 수준으로 작아져야한다. 저 진공영역에서는 검출기와 전자방출용 필라멘트가 저진공에서 작동되도록 일반고진공용 RGA와는 완전히 다르게 소형으로 설계 제작되어야 한다. 10-7 Pascal 이상의 초고진공에서 사용되는 RGA는 이온원이 작동할 때 발생하는 outgassing을 낮추도록 설계가 되어야 초고진공의 유지가 가능하다. 한국표준과학연구원에서 현재 개발 중인 일반고진공용 RGA를 소개하고 저진공용과 초고진공용 RGA의 설계특성을 발표한다.

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The connections and representation of Pascal Triangles, Difference sequences and Matrices (파스칼의 삼각형, 계차수열 및 행렬의 연계와 표현)

  • Kim Ik Pyo;Hwang Suk Geun
    • The Mathematical Education
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    • 제43권4호
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    • pp.391-398
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    • 2004
  • It is well-known in the literature that the general term of a sequence can be represented by a linear combination of binomial coefficients. The theorem and its known proofs are not easy for highschool students to understand. In this paper we prove the theorem by a pictorial method and by a very short and easy inductive method to make the problem easy and accessible enough for highschool students.

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ESTELLE Preprocessor의 설계 및 구현

  • In, So-Ran;Gwak, Ho-Yeong
    • ETRI Journal
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    • 제9권3호
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    • pp.22-32
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    • 1987
  • 본고는 FDT(Formal Description Technique)에 속하는, 통신 프로토콜의 규격기술에 사용되는 기법언어인 ESTELLE 언어를 대상으로 이를 5-PASCAL로 전환해주는 preprocessor의 설계 및 구현에 대한 연구결과이다. ESTELLE의 특성은 상태전이 처리 측면에 concurrent 개념을 지니고 있다. 가장 최적화된 방법으로는concurrent 개념을 모두 수용해주는 H/W와 S/W환경이 구비된 조건에서 concurrent 언어로 전환하는 것이 타당하나 본 고에서는 ESTELLE 언어와 구성상 유사한 PASCAL 중 sequential PASCAL을 target 언어로 하였다.

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A Study on Teaching Material for Enhancing Mathematical Reasoning and Connections - Figurate numbers, Pascal's triangle, Fibonacci sequence - (수학적 추론과 연결성의 교수.학습을 위한 소재 연구 -도형수, 파스칼 삼각형, 피보나치 수열을 중심으로-)

  • Son, Hong-Chan
    • School Mathematics
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    • 제12권4호
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    • pp.619-638
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    • 2010
  • In this paper, we listed and reviewed some properties on polygonal numbers, pyramidal numbers and Pascal's triangle, and Fibonacci sequence. We discussed that the properties of gnomonic numbers, polygonal numbers and pyramidal numbers are explained integratively by introducing the generalized k-dimensional pyramidal numbers. And we also discussed that the properties of those numbers and relationships among generalized k-dimensional pyramidal numbers, Pascal's triangle and Fibonacci sequence are suitable for teaching and learning of mathematical reasoning and connections.

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Evaluation of accidental eccentricity for buildings by artificial neural networks

  • Badaoui, M.;Chateauneuf, A.;Fournely, E.;Bourahla, N.;Bensaibi, M.
    • Structural Engineering and Mechanics
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    • 제41권4호
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    • pp.527-538
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    • 2012
  • In seismic analyses of structures, additional eccentricity is introduced to take account for oscillations of random and unknown origins. In many codes of practice, the torsion about the vertical axis is considered through empirical accidental eccentricity formulation. Due to the random nature of structural systems, it is very difficult to evaluate the accidental eccentricity in a deterministic way and to specify its effect on the overall seismic response of structures. The aim of this study is to develop a procedure for the evaluation of the accidental eccentricity induced by uncertainties in stiffness and mass of structural members, using the neural network techniques coupled with Monte Carlo simulations. This method gives very interesting results for single story structures. For real structures, this method can be used as a tool to determine the accidental eccentricity in the seismic vulnerability studies of buildings.

Pascal Distribution Series Connected with Certain Subclasses of Univalent Functions

  • El-Deeb, Sheeza M.;Bulboaca, Teodor;Dziok, Jacek
    • Kyungpook Mathematical Journal
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    • 제59권2호
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    • pp.301-314
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    • 2019
  • The aim of this article is to make a connection between the Pascal distribution series and some subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution. For these functions, for linear combinations of these functions and their derivatives, for operators defined by convolution products, and for the Alexander-type integral operator, we find simple sufficient conditions such that these mapping belong to a general class of functions defined and studied by Goodman, Rønning, and Bharati et al.

Subclasses of Starlike and Convex Functions Associated with Pascal Distribution Series

  • Frasin, Basem Aref;Swamy, Sondekola Rudra;Wanas, Abbas Kareem
    • Kyungpook Mathematical Journal
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    • 제61권1호
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    • pp.99-110
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    • 2021
  • In the present paper, we determine new characterisations of the subclasses ����∗��(α, β; γ) and ������(α, β; γ) of analytic functions associated with Pascal distribution series ${\Phi}^m_q(z)=z-{\sum_{n=2}^{\infty}}(^{n+m-2}_{m-1})q^{n-1}(1-q)^mz^n$. Further, we give necessary and sufficient conditions for an integral operator related to Pascal distribution series ${\mathcal{G}}^m_qf(z)={\int_{0}^{z}}{\frac{{\Phi}^m_q(t)}{t}}dt$ to belong to the above classes. Several corollaries and consequences of the main results are also considered.

Film Boiling Chemical Vapor Infiltration of C/C Composites: Influence of Mass and Thermal Transfers

  • Delhaes, P.;Trinquecoste, M.;Derre, A.;Rovillain, D.;David, P.
    • Carbon letters
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    • 제4권4호
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    • pp.163-167
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    • 2003
  • The "Film boiling" Chemical Vapor Infiltration (CVI) process is a rapid densification one developed in particular for the elaboration of carbon/carbon composite materials. In order to optimize this new thermal gradient process, we have carried out several studies, on one hand, about the nature of the complex chemical reactions in a confined medium, and on the other hand, relative to the role of heat and mass transfers inside the preform. We show in this study that the introduction of a permeable sheath around the preform leads to hybrid liquid/gas CVI process which presents the advantages of very high densification rates associated with a moderate input energy.

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