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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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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.

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.

Concrete Association and Abstract Association in Color (색채의 구체적 연상과 추상적 연상)

  • Shin, Seong-Yoon;Baek, Jeong-Uk;Lee, Hyun-Chang;Rhee, Yang-Won
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2010.10a
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    • pp.655-656
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    • 2010
  • Color association is reminding you that is related to the means, events, or experience by the color impression. These kinds of associations was largely concrete association and abstract associations. In this paper, look at the features and examples of concrete association and abstract associations, and look at the abstract association and the concrete associations of typical colors. In addition, find out about the similarities and difficulties or color association.

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Static Analysis of AND-parallelism in Logic Programs based on Abstract Interpretation (추상해석법을 이용한 논리언어의 AND-병렬 태스크 추출 기법)

  • Kim, Hiecheol;Lee, Yong-Doo
    • Proceedings of the Korea Society for Industrial Systems Conference
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    • 1997.11a
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    • pp.79-89
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    • 1997
  • Logic programming has many advantages as a paradigm for parallel programming because it offers ease of programming while retaining high expressive power due to its declarative semantics. In parallel logic programming, one of the important issues is the compile-time parallelism detection. Static data-dependency analysis has been widely used to gather some information needed for the detection of AND-parallelism. However, the static data-dependency analysis cannot fully detect AND-parallelism because it does not provide some necessary functions such as the propagation of groundness. As an alternative approach, abstract interpretation provides a promising way to deal with AND-parallelism detection, while a full-blown abstract interpretation is not efficient in terms of computation since it inherently employs some complex operations not necessary for gathering the information on AND-parallelism. In this paper, we propose an abstract domain which can provide a precise and efficient way to use the abstract interpretation for the detection of AND-parallelism of logic programs.

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Indexability and Information Quantity Analysis in Title and Abstract (표제(標題)와 초록(抄錄)의 색인성(索引性)과 정보량(情報量) 분석(分析))

  • Kim, Jae-Soo;Nam, Young-Joon
    • Journal of Information Management
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    • v.23 no.2
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    • pp.1-13
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    • 1992
  • This study intends to measure the indexibility and the information quantity in title and abstract. The result of analysis was that when the source was title or abstract, result was not good. But when it was the title and abstract, the result was better.

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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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A Study on the Abstract Shapes and Flat Colors of Emotional Games (감성 게임의 추상적 형태와 평면적 색채 고찰)

  • Park, Jin-Hong;Kim, Seung-In
    • Journal of Korea Game Society
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    • v.17 no.5
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    • pp.7-18
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    • 2017
  • This study examines' form 'and' color 'by paying attention to the art of emotional game, which is directed toward abstract, as opposed to the game' s art is directed toward concept. First, the form and color were quantitatively analyzed through the researcher model and the NCS color system, and the result was derived as 'abstract' and color as 'pastel ash'. Based on the results, he insists that 'emotion' game is oriented to abstract form and plane color, and supports the claim through the boring almost abstract impulse and Baudrillard's pastel order.

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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