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ANALYTIC FOURIER-FEYNMAN TRANSFORMS ON ABSTRACT WIENER SPACE

  • Ahn, Jae Moon;Lee, Kang Lae
    • Korean Journal of Mathematics
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    • v.6 no.1
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    • pp.47-66
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    • 1998
  • In this paper, we introduce an $L_p$ analytic Fourier-Feynman transformation, show the existence of the $L_p$ analytic Fourier-Feynman transforms for a certain class of cylinder functionals on an abstract Wiener space, and investigate its interesting properties. Moreover, we define a convolution product for two functionals on the abstract Wiener space and establish the relationships between the Fourier-Feynman transform for the convolution product of two cylinder functionals and the Fourier-Feynman transform for each functional.

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Object-Based Operating System (OBJECT에 의한 운영체제의 구성에 대한 연구)

  • 이창수
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.8 no.1
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    • pp.23-29
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    • 1983
  • This paper describes object-based operating system to suppeor relability and abstract data type. For reliability, all objects should be accessed through access rights in capability, and the protection domain is provided for all program modules such that efficient domain switching can be achieved. For abstract data type, type manager is provided.

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THE HEISENBERG INEQUALITY ON ABSTRACT WIENER SPACES

  • Lee, Yuh-Jia
    • Journal of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.283-296
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    • 2001
  • The Heisenberg inequality associated with the uncertainty principle is extended to an infinite dimensional abstract Wiener space (H, B) with an abstract Wiener measure p$_1$. For $\phi$ $\in$ L$^2$(p$_1$) and T$\in$L(B, H), it is shown that (※Equations, See Full-text), where F(sub)$\phi$ is the Fourier-Wiener transform of $\phi$. The conditions when the equality holds also discussed.

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Relation Analysis of High School Students' Abstract Thinking, Language Familiarity, and Academic Achievement on C and Scratch Program Understanding (C와 스크래치 프로그램 이해에 대한 고등학생의 추상적 사고, 언어친밀성, 학업성취도 관계 분석)

  • Park, Chan Jung;Hyun, Jung Suk;Jin, Heuiran;Jeong, Hyesun
    • The Journal of Korean Association of Computer Education
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    • v.18 no.6
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    • pp.1-12
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    • 2015
  • In computer education area, abstract thinking has played a positive role in programming ability, and language experience has also affected the ability. However, most of the studies were empirical. The practical research about the relation analysis between abstract thinking and programming ability has rarely been performed. Among various types of programming abilities such as coding, debugging, and reading, this paper focused on program understanding. We analyzed the affection relation on program understanding and the interaction effect between abstract thinking level and language familiarity. We surveyed 376 high school students on their abstract thinking levels, language familiarity, academic achievement, and the program understanding abilities of C and Scratch. From the research, we knew that the abstract thinking level played an important role in understanding the iterative program for the male students. In addition, if the students had the experience on other programming languages before entering high schools, then there was an interaction effect between abstract thinking level and program language familiarity.

Research Trends of Ergonomics in Occupational Safety and Health through MEDLINE Search: Focus on Abstract Word Modeling using Word Embedding (MEDLINE 검색을 통한 산업안전보건 분야에서의 인간공학 연구동향 : 워드임베딩을 활용한 초록 단어 모델링을 중심으로)

  • Kim, Jun Hee;Hwang, Ui Jae;Ahn, Sun Hee;Gwak, Gyeong Tae;Jung, Sung Hoon
    • Journal of the Korean Society of Safety
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    • v.36 no.5
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    • pp.61-70
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    • 2021
  • This study aimed to analyze the research trends of the abstract data of ergonomic studies registered in MEDLINE, a medical bibliographic database, using word embedding. Medical-related ergonomic studies mainly focus on work-related musculoskeletal disorders, and there are no studies on the analysis of words as data using natural language processing techniques, such as word embedding. In this study, the abstract data of ergonomic studies were extracted with a program written with selenium and BeutifulSoup modules using python. The word embedding of the abstract data was performed using the word2vec model, after which the data found in the abstract were vectorized. The vectorized data were visualized in two dimensions using t-Distributed Stochastic Neighbor Embedding (t-SNE). The word "ergonomics" and ten of the most frequently used words in the abstract were selected as keywords. The results revealed that the most frequently used words in the abstract of ergonomics studies include "use", "work", and "task". In addition, the t-SNE technique revealed that words, such as "workplace", "design", and "engineering," exhibited the highest relevance to ergonomics. The keywords observed in the abstract of ergonomic studies using t-SNE were classified into four groups. Ergonomics studies registered with MEDLINE have investigated the risk factors associated with workers performing an operation or task using tools, and in this study, ergonomics studies were identified by the relationship between keywords using word embedding. The results of this study will provide useful and diverse insights on future research direction on ergonomic studies.

ABSTRACT DIFFERENTIATION ON CERTAIN GROUPOIDS

  • Cho, Jung-Rae
    • Communications of the Korean Mathematical Society
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    • v.11 no.4
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    • pp.925-932
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    • 1996
  • On certain groupoids called LIR-groupoids, one can define abstract definitions of continuity and differentiation of functions. Many properties of this abstract continuity and differentiation have analogy to the ordinary continuity and differentiation of real-valued functions.

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BANACH ALGEBRA OF FUNCTIONALS OVER PATHS IN ABSTRACT WINER SPACE

  • Park, Yeon-Hee
    • Communications of the Korean Mathematical Society
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    • v.15 no.1
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    • pp.77-90
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    • 2000
  • In this paper, we will establish the existence theorem of the operator valued function space integral over paths in abstract Wiener space under the general conditions rather than the known conditions.

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NEW EXISTENCE OF EQUILIBRIA IN ABSTRACT ECONOMIES

  • Kim, Won-Kyu;Im, Sung-Mo;Rim, Dong-Il
    • Journal of applied mathematics & informatics
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    • v.7 no.1
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    • pp.247-255
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    • 2000
  • The purpose of this paper is to give new existence theorems of equilibrium in abstract economies with uncountable number of agents and general preference correspondences.