• Title/Summary/Keyword: unit elements

Search Result 799, Processing Time 0.028 seconds

LINE GRAPHS OF UNIT GRAPHS ASSOCIATED WITH THE DIRECT PRODUCT OF RINGS

  • Pirzada, S.;Altaf, Aaqib
    • Korean Journal of Mathematics
    • /
    • v.30 no.1
    • /
    • pp.53-60
    • /
    • 2022
  • Let R be a finite commutative ring with non zero identity. The unit graph of R denoted by G(R) is the graph obtained by setting all the elements of R to be the vertices of a graph and two distinct vertices x and y are adjacent if and only if x + y ∈ U(R), where U(R) denotes the set of units of R. In this paper, we find the commutative rings R for which G(R) is a line graph. Also, we find the rings for which the complements of unit graphs are line graphs.

Evaluation and Modification of Tensile Properties of Carbon Fiber Reinforced Polymer(CFRP) as Brittle Material with Probability Distribution (확률분포를 이용한 취성재료 특성의 탄소섬유보강폴리머 인장물성평가 및 보정)

  • Kim, Yun-Gon
    • Journal of the Korea institute for structural maintenance and inspection
    • /
    • v.23 no.3
    • /
    • pp.17-24
    • /
    • 2019
  • Carbon Fiber Reinforced Polymers(CFRP) has widely utilized as a material for rehabilitation because of its light-weight, deformability and workability. Because CFRP is brittle material whereas steel is ductile, it is inappropriate to apply conventional design approach for steel reinforcement. For ductile material, the behavior of combined elements is on average of that of unit element due to the stress redistribution between elements after yielding. Therefore, the mean value of the stress of combined elements is equal to that of unit element and the standard variation is smaller. Therefore, although the design value can increase, it is used as constant value because it is conservative and practical approach. However, for brittle material, the behavior of combined elements is governed by the weaker element because no stress redistribution is expected. Therefore, both the mean value and standard variation of the stress of combined elements decreases. For this reason, the design value would decrease as the number of element increases although it is eventually converged. In this paper, in brittle material, it is verified that the combination of unit element with normal distribution results in combined element with weibull distribution, so the modifying equation of mechanical properties is proposed with respect to the area load applied.

A Construction Theory of Arithmetic Operation Unit Systems over $GF(2^m)$ ($GF(2^m)$ 상의 산술연산기시스템 구성 이론)

  • 박춘명;김흥수
    • Journal of the Korean Institute of Telematics and Electronics
    • /
    • v.27 no.6
    • /
    • pp.910-920
    • /
    • 1990
  • This paper presents a method of constructing an Arithmetic Operation Unit Systems (A.O.U.S.) over Galois Field GF(2**m) for the purpose of the four arithmetical operation(addition, subtraction, multiplication and division between two elements in GF(2**mm). The proposed A.O.U.S. is constructed by following procedure. First of all, we obtained each four arithmetical operation algorithms for performing the four arithmetical operations using by mathematical properties over GF(2**m). Next, for the purpose of realizing the four arithmetical unit module (adder module, subtracter module, multiplier module and divider module), we constructed basic cells using the four arithmetical operation algorithms. Then, we realized the four Arithmetical Operation Unit Modules(A.O.U.M.) using basic cells and we constructd distributor modules for the purpose of merging A.O.U.M. with distributor modules. Finally, we constructed the A.O.U.S. over GF(2**m) by synthesizing A.O.U.M. with distributor modules. We prospect that we are able to construct an Arithmetic & Logical Operation Unit Systems (A.L.O.U.S.) if we will merge the proposed A.O.U.S. in this paper with Logical Operation Unit Systems (L.O.U.S.).

  • PDF

Influence of Analytical Models on the Seismic Response of Modular Structures (모듈러 구조물의 해석 모델이 지진응답에 미치는 영향)

  • Choi, Kyung-Suk;Lee, Ho-Chan;Kim, Hyung-Joon
    • Journal of the Korea institute for structural maintenance and inspection
    • /
    • v.20 no.2
    • /
    • pp.74-85
    • /
    • 2016
  • Seismic design of modular structures is usually carried out under the assumption that their load-carrying mechanism is similar to that of traditional steel moment-resisting frames(SMRFs). However, the load carry mechanism of modular structures would be different with that of traditional SMRFs because of their overlapped structural elements and complicated details of connections for the assembly of the unit-modules. In this study, nonlinear static analyses of 3 and 5-story prototype modular structures have been carried out with four different analytical models, which are established in consideration for the effects of overlapped elements and the hysteretic behavior of connections. Prototype structures present different lateral stiffness and strength depending on the modeling of overlapped elements and the rotational behavior of connections. For modular structures designed under assumption that overlapped structural elements are fully composite each other and connections between unit-modules are fixed, their lateral strength and stiffness can be over-estimated. Furthermore, it is known from the analysis results that modular structures with more than 3-stories would possess relatively low overstrength compared to traditional SMRFs.

The Characteristics of Flexibility applied to Unit Plan of Housing by Residents Participation - focusing on European Multi-story Housing applying Residents Participation - (거주자 참여형 공동주거의 평면계획에 적용된 가변성의 특성 - 유럽의 거주자 참여형 다층 공동주거를 중심으로 -)

  • Kim, Hyun-Ju
    • Journal of the Architectural Institute of Korea Planning & Design
    • /
    • v.34 no.11
    • /
    • pp.113-123
    • /
    • 2018
  • First of all, the multi-story Housing applying resident's participation in europe was classified by the menu selection method, the two-step supply method and the cooperative method. And then I analyzed flexible unit plan of cases for deriving the planning methode and the characteristics of flexibility. First, I analyzed the area and form of the unit plan, structure and Installation, fixed and variable elements to derive the planning method. The area of units are distributed from a minimum of $35m^2$ to a maximum of $150m^2$, and many of the unit planes have a narrow front and a deep depth. The structure is a long-span wall-structure or a skeleton structure, and is designed without any columns and bearing walls in the interior space for flexibility in spatial composition. The vertical shafts are located in the center of the unit in a box-form or in the corner at the unit dividing wall for free placement of interior wall. Fixed elements are framework and facility systems. Most of the future residents in the two-steps supply method and the cooperative method were able to freely design the internal space within the zoning concept proposed by the architect and change the location of the facade element within module system proposed by the architect. Second, the characteristics of the flexibility applied to the unit plan were divided in integrated flexibility, functional flexibility, construction flexibility, and supply flexibility. The integrated flexibility enables residents to give the variable space combination based on the complex structure of the inner space for providing various living experiences. Regarding functional flexibility, the three-dimensional spatial structure with neutral space has multi-functionality according to the needs of residents and easily accepts mixing of hybrid programs such as work and residence. Constructive flexibility allows residents to create identity by freely planning interior space and changing the size or location of facade components in a determined system of architects. Finally, various types of size and space composition are proposed and realized in the whole building applying menu selection method, so that flexibility in the offer can accommodate and integrate various types of living.

A Study on Rural Landscape Planning Based on Rural Village Landscape - A Case Study on Yacksan at Wando - (농촌 마을경관을 고려한 지역경관계획 수립 방안 연구 - 완도군 약산권역을 사례로 -)

  • Kim, Seong-Hak;Yang, Byoung-E
    • Journal of the Korean Institute of Landscape Architecture
    • /
    • v.37 no.3
    • /
    • pp.82-90
    • /
    • 2009
  • The aim of this study is to identify the spatial foundation units required to execute a rural village landscape plan. Though there have been various previous studies on spatial foundation units for rural space and landscape elements, they are limited in clarifying the landscape identity of a rural village unit in creating a feasible a rural village landscape plan. Therefore, it is necessary to identify the natural spatial features of a rural village and then establish a landscape identity for each space by exploring the landscape elements for each rural village unit set as the basic unit. Accordingly, the basic spatial unit was analyzed through a 1:5000 scale mapping by applying geomancy theory to the spatial landscape unit in a naturally generated rural village. The spatial limitations for a rural village landscape were set based on the analysis. Afterwards, a field study on the feasibility of whether or not setting a space as the basic unit for landscape could have a sense of identity as a single landscape unit for verification was processed, and the spatial limitations for the landscape were adjusted. Moreover, landscape elements were investigated by classifying landscape resources based on rural amenity resources which have been diversely researched in terms of the set spatial boundaries, and the sense of identity for each landscape foundation unit was looked into. While the numerous preceding studies focused on exploring the rural landscape value and findingout the sense of identity on landscape elements, it is high time for feasible and applicable studies in conducting region-specific landscape plans. In particular, similar outcomes from all landscape plans, even those with the same purpose established in various regions, is not a desirable outcome. Therefore, a basic framework is needed to discover the landscape identity generated by each plan in a rural area space. In this sense, this study is significant in that itcan be utilized to establish spatial identity of each region and landscape features of each rural village, and come up with realistic alternatives in landscape plans for each region by exploring the landscape identity in each specific space divided per watershed in a single zone.

Design of Low Cost H.264/AVC Entropy Coding Unit Using Code Table Pattern Analysis (코드 테이블 패턴 분석을 통한 저비용 H.264/AVC 엔트로피 코딩 유닛 설계)

  • Song, Sehyun;Kim, Kichul
    • Journal of IKEEE
    • /
    • v.17 no.3
    • /
    • pp.352-359
    • /
    • 2013
  • This paper proposes an entropy coding unit for H.264/AVC baseline profile. Entropy coding requires code tables for macroblock encoding. There are patterns in codewords of each code tables. In this paper, the patterns between codewords are analyzed to reduce the hardware cost. The entropy coding unit consists of Exp-Golomb unit and CAVLC unit. The Exp-Golomb unit can process five code types in a single unit. It can perform Exp-Golomb processing using only two adders. While typical CAVLC units use various code tables which require large amounts of resources, the sizes of the tables are reduced to about 40% or less of typical CAVLC units using relationships between table elements in the proposed CAVLC unit. After the Exp-Golomb unit and the CAVLC unit generate code values, the entropy unit uses a small size shifter for bit-stream generation while typical methods are barrel shifters.

Ore Extension Rings with Constant Products of Elements

  • Hashemi, Ebrahim;Alhevaz, Abdollah
    • Kyungpook Mathematical Journal
    • /
    • v.59 no.4
    • /
    • pp.603-615
    • /
    • 2019
  • Let R be an associative unital ring with an endomorphism α and α-derivation δ. The constant products of elements in Ore extension rings, when the coefficient ring is reversible, is investigated. We show that if f(x) = ∑ni=0 aixi and g(x) = ∑mj=0 bjxj be nonzero elements in Ore extension ring R[x; α, δ] such that g(x)f(x) = c ∈ R, then there exist non-zero elements r, a ∈ R such that rf(x) = ac, when R is an (α, δ)-compatible ring which is reversible. Among applications, we give an exact characterization of the unit elements in R[x; α, δ], when the coeficient ring R is (α, δ)-compatible. Furthermore, it is shown that if R is a weakly 2-primal ring which is (α, δ)-compatible, then J(R[x; α, δ]) = N iℓ(R)[x; α, δ]. Some other applications and examples of rings with this property are given, with an emphasis on certain classes of NI rings. As a consequence we obtain generalizations of the many results in the literature. As the final part of the paper we construct examples of rings that explain the limitations of the results obtained and support our main results.

A Study on The Space Depth For Hospital Architecture Planning Focused on System (체계 중심 병원건축계획을 위한 공간 깊이에 관한 연구)

  • Kim, Eun-Seok;Yang, Nae-Won
    • Korean Institute of Interior Design Journal
    • /
    • v.24 no.6
    • /
    • pp.221-228
    • /
    • 2015
  • This study aims to define concepts on Hospital Design Focused on System to respond to the development and change by comparing general design methods of the General hospital architecture in Korea and analyze elements suitable to concepts on Hospital Design Focused on System in the General hospital architecture through examining the transformation of General hospitals in Korea. Essential architectural elements composing the Hospital Design Focused on System are as follows. First of all, the elements which can react to development of hospital architecture are HOSPITAL STREET and site situation. Secondly, core, equipment shaft, column, MAIN STREET and air handling unit room are elements of great importance as the location of these elements determines the dimensions and scale of the space which hospital functions are assigned to. Third, the area in regard to the rate of change is formed by MAIN STREET, which is the primary element, and envelope. The depth between MAIN STREET and envelope is defined as space depth. The flexible area is determined depending on this space depth and thus how to set up this flexible area determines the degree of readiness in responding to the change.

A Design and Development of Multi Air gun for suction and shooting a jet of compressed air (압축공기의 흡입과 분사를 위한 멀티 에어건의 설계 개발)

  • Jeong, Seok-Min;Jang, Sung-Min
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.13 no.11
    • /
    • pp.4944-4949
    • /
    • 2012
  • The purpose of this paper is concerned with a development of air gun for use at work. A air gun is the tool to remove of cutting fluid and workpiece chip in industrial field used machine tool. And it generally is used to shoot a jet of compressed air. Worker must prepare respectively air gun for suction and shooting a jet of compressed air. Therefore we has developed new air gun. In this paper we research for design and analysis of it. The air gun is composed of body, pipe, opening and shutting unit, turning unit, air tube and elements for fabrication. The developed air gun is experimented to confirm the efficiency.