• Title/Summary/Keyword: Complex Abstract

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THE KÜNNETH SPECTRAL SEQUENCE FOR COMPLEXES OF BANACH SPACES

  • Park, HeeSook
    • Journal of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.809-832
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    • 2018
  • In this paper, we form the basis of the abstract theory for constructing the $K{\ddot{u}}nneth$ spectral sequence for a complex of Banach spaces. As the category of Banach spaces is not abelian, several difficulties occur and hinder us from applying the usual method of homological algebra directly. The most notable facts are the image of a morphism of Banach spaces is not necessarily a Banach space, and also the closed summand of a Banach space need not be a topological direct summand. So, we consider some conditions and categorical terms that fit the category of Banach spaces to modify the familiar method of homological algebra.

An Accurate Closed-form Green's Function for the Planar Structure with General Sources (일반적인 전원을 포함하는 평판구조에 대한 정확한 Closed-form 그린함수)

  • Kang Yeon-Duk;Lee Taek-Kyung
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.41 no.6 s.324
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    • pp.79-86
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    • 2004
  • In the integration of Sommerfeld type for space domain Green's function, a accurate closed-from Green's function method provides more exact solution than the typical complex image method and two-level method. The accurate closed-form Green's function method is applied to obtain the space domain Green's functions of planar structures with general sources. Please put the abstract of paper here.

Devlopment HLA DEVS-Obj-C Environment for Distributed Simulation (분산 시뮬레이션을 위한 HLA DEVS-Obj-C 환경 구축)

  • 최두진;조대호
    • Proceedings of the Korea Society for Simulation Conference
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    • 2002.11a
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    • pp.85-89
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    • 2002
  • Development of distributed simulation environment must be required in order to simulate the distributed models regionally and inter-operate with running simulations individually, Simulation based on DEVS formalism is difficult to simulate the distributed models. DEVS formalism is modeling methodology. To specify model, this formalism separates behavior and structure, therefore it is able to design complex model easily. HLA is standard framework of distribute simulation environment, It is defined to facilitate the interoperability and the reusability. RTI (Run Time Infrastructure) is software that provides common service to simulation systems and implementation of the HLA Interface Specification. Method of implementation is that modules cooperating with RTI are added to simulator on DEVS simulation environment. On the DEVS simulation environment (DEVS-Obj -C) that already developed, Highest class of abstract simulator uses service that RTI provide, then This environment is able to change DEVS model into Federate and run distribute simulation that inter-operates with the RTI. Because this distributed simulation environment includes convenience of modeling that obtains through the DEVS formalism and accompanies HLA standard, this environment make it possible to simulate with_ complex systems and heterogeneous simulations

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Determination of Evodiae Fructus Alkaloids in O-Su-You-Tang by Spectrophotometric Method (흡광도 측정법에 의한 오수유탕 중 오수유 알칼로이드의 정량)

  • Kim, Sung-Eun;Kim, Dae-Keun;Shin, Tae-Yong;Lim, Jong-Pil;Eom, Dong-Ok
    • Korean Journal of Pharmacognosy
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    • v.35 no.1 s.136
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    • pp.88-91
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    • 2004
  • Abstract - The Evodiae Fructus is known for containing a number of indolquinazoline and quinoline type alkaloids. Evodiamine, evocarpine and rutaecarpine are the major constituents of alkaloids. These alkaloids were isolated and determined by forming complex compounds from Evodiae Fructus in O-Su-You-Tang. For the determination of these alkaloids, a new spectrophotometric method was developed with a simple and selective sample clean-up using thiocyanatocobaltate[II] compIεx compound ion. The absorbance of alkaloidal complex compounds in 1,2-dichloroethane solution was measured at 625 nm. The method proved to be rapid, simple and reliable for the isolation and the determination of the alkaloids in O-Su-You-Tang.

Prototype Extraction for the Categorization of Lotus and Crane Patterns Using Qualitative and Quantitative Approaches (질적, 양적 접근방법에 의한 연화문, 사문의 분류원형 추출)

  • 장수경;김재숙
    • Journal of the Korean Society of Clothing and Textiles
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    • v.20 no.6
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    • pp.1016-1026
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    • 1996
  • The purpose of this study was to extract protypes from features and concrete images of Lotus and Crane patterns. A qualitative and a quantitative methods were used. Qualitative informations were obtained from depth Interviews for pattern selection and feature extraction, and quantitative informations from a quail-experiment for pattern caregorization. The subjects were 20 female design students and non-design, students in Teajon. The results were summerized into a similarity metrix which was interpreted by the cluster analysis and the multi-dimensional scling(MDS). The patterns for the study were grouped into 8 clusters. Four dimensions were chosen for the MDS. The location of each pattern was visualized in a 2-dimesional spaces and the location of each cluster in a 3-dimensional spaces. The first dimension, "Lotus" vs "Crane" refired to pattern types, and the second dimension, "realistic" vs "transformable", the transformability. The third dimension, "simple" vs "complex", refired to the degree of simplification, and the forth dimension, "continuous" vs "discontinuous", continuity. The results of the Quantitative analysis could be summerized into 3-level prototype hiararchy In the first level, the patterns were devided clearly into two groups. Lotus and Crane by pattern types. In the second levelk, each group was devided into twosubgroups by continuity. In the third, each subgroup was divided into four subgroups by transformability and the degree of simplification. Four protypes, the final targets of the present study, were extracted from the third level. The are Stylized, Realistic, Decorative, Abstract types.d from the third level. The are Stylized, Realistic, Decorative, Abstract types.

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Spatial relationship operations of the Satellite image for the Remote sensing based on an Object oriented data model (객체지향 데이터 모델에 기반 원격탐사를 위한 위성영상의 공간 관계 연산)

  • Shin, Un-Sseok;Lee, Jae-Bong;Kim, Hyung-Moo;Lee, Hong-Ro
    • Proceedings of the Korea Contents Association Conference
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    • 2004.11a
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    • pp.251-256
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    • 2004
  • This paper will show examples and methods of spatial relationship operations that extract spatial information from satellite images. Geographical information system phenomena of complex and variant real world can abstract and implement simple features. The abstract features classify geo_objects and geo_field. The geo_object and the geo_field can represent vector and raster respectively. The raster based satellite image can use remote sensing applications. This paper needs topology operations and geometric operations for extracting the remote sensing. The spatial information transforms the raster based image to the vector based object, and extract from the spatial information. The extracted information will contribute on the application of the remote sensing satellite images.

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A Study on the Figuration of Floral Pattern of Baroque Textiles (Baroque직물에 나타난 floral 패턴의 조형성)

  • 이선화;권영숙
    • Journal of the Korean Society of Costume
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    • v.52 no.7
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    • pp.1-11
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    • 2002
  • The shape of floral Pattern in the Period of Baroque could be divided single. bunch and vine. The style of representation was stylized, abstract and realistic. the most of style was stylized. The type of composition was fullness, independent and scattered. Floral patterns were shaped simple and complex and components of design could be classified into flower and leaf. flower and fruit. flower and band. bunch of flower, flower and geometry. flower and pot, flower and animal. flower and crest. Kinds of flower were tulip. common marigold, lily, carnation, small bel]flower. lotus, acandus leaf, pomegranate, strawberry. pine cone and abstract anonymous flower which were unfolded by repeat. Characters of floral Pattern were classical elegance, taste of royalty and lively and damask, velvet, brocade which made with gold and silver so, those were a very brilliant and gorgeous. Characters of design were illustrated plane style and stylization where developed arranged on front by repeat or repeat symmetric of vertical. Art, costumes and textiles in this era were a very rich and colorful. The result of study on Baroque's floral pattern will be used to develope a various textile design and chance to be adopted classical pattern into aesthetic value in our time.

Lp FOURIER-FEYNMAN TRANSFORMS AND CONVOLUTION

  • Ahn, Jae Moon
    • Korean Journal of Mathematics
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    • v.7 no.2
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    • pp.183-198
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    • 1999
  • Let $\mathcal{F}(B)$ be the Fresnel class on an abstract Wiener space (B, H, ${\omega}$) which consists of functionals F of the form : $$F(x)={\int}_H\;{\exp}\{i(h,x)^{\sim}\}df(h),\;x{\in}B$$ where $({\cdot}{\cdot})^{\sim}$ is a stochastic inner product between H and B, and $f$ is in $\mathcal{M}(H)$, the space of all complex-valued countably additive Borel measures on H. We introduce the concepts of an $L_p$ analytic Fourier-Feynman transform ($1{\leq}p{\leq}2$) and a convolution product on $\mathcal{F}(B)$ and verify the existence of the $L_p$ analytic Fourier-Feynman transforms for functionls in $\mathcal{F}(B)$. Moreover, we verify that the Fresnel class $\mathcal{F}(B)$ is closed under the $L_p$ analytic Fourier-Feynman transform and the convolution product, respectively. And we investigate some interesting properties for the $n$-repeated $L_p$ analytic Fourier-Feynman transform on $\mathcal{F}(B)$. Finally, we show that several results in [9] come from our results in Section 3.

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Representation of the Body in Dress and Painting - Focusing on the Works of Francis Bacon and Rei Kawakubo - (복식과 회화에 표현되는 몸의 재현 - 프란시스 베이컨의 작품과 레이 카와쿠보의 컬렉션을 중심으로 -)

  • Yim, Eunhyuk
    • Journal of Fashion Business
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    • v.17 no.4
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    • pp.40-57
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    • 2013
  • In examining the relationship between fashion and art which are intimately interrelated, the body is a suitable subject in that it is the common object of representation. This study investigates and compares the images of the body in Francis Bacon's paintings from 1940s to 1970s and the formative aspect and aesthetic value of the abstract body images in Rei Kawakubo's designs since 1980s. The figures in Bacon's paintings are confusingly and atypically deformed as well as distorted, which are the combinations of the anatomies without references, not so much represented objects as experienced sense. Kawakubo's designs attempt to deform the body, moreover, she transforms the body; represent abstract forms without association with any other figures that exist, emphasizing sculptural or architectural shapes of garment. She suggests extensive visual language of dress by challenging the norms of beauty. The body in Bacon and Kawakubo's works is dispersive as well as complex in that the body images are deconstructed, fragmented, and exaggerated. Respectively, they articulate the perception of the body in postmodernism era by destroying the myth of subject; furthermore establish the aesthetics that transcend conventional ideals by reevaluating as well as refusing the standards of beauty.