• Title/Summary/Keyword: maximal element

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AN IDEAL - BASED ZERO-DIVISOR GRAPH OF POSETS

  • Elavarasan, Balasubramanian;Porselvi, Kasi
    • Communications of the Korean Mathematical Society
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    • v.28 no.1
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    • pp.79-85
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    • 2013
  • The structure of a poset P with smallest element 0 is looked at from two view points. Firstly, with respect to the Zariski topology, it is shown that Spec(P), the set of all prime semi-ideals of P, is a compact space and Max(P), the set of all maximal semi-ideals of P, is a compact $T_1$ subspace. Various other topological properties are derived. Secondly, we study the semi-ideal-based zero-divisor graph structure of poset P, denoted by $G_I$ (P), and characterize its diameter.

Some Analogues of a Result of Vasconcelos

  • DOBBS, DAVID EARL;SHAPIRO, JAY ALLEN
    • Kyungpook Mathematical Journal
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    • v.55 no.4
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    • pp.817-826
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    • 2015
  • Let R be a commutative ring with total quotient ring K. Each monomorphic R-module endomorphism of a cyclic R-module is an isomorphism if and only if R has Krull dimension 0. Each monomorphic R-module endomorphism of R is an isomorphism if and only if R = K. We say that R has property (${\star}$) if for each nonzero element $a{\in}R$, each monomorphic R-module endomorphism of R/Ra is an isomorphism. If R has property (${\star}$), then each nonzero principal prime ideal of R is a maximal ideal, but the converse is false, even for integral domains of Krull dimension 2. An integral domain R has property (${\star}$) if and only if R has no R-sequence of length 2; the "if" assertion fails in general for non-domain rings R. Each treed domain has property (${\star}$), but the converse is false.

ELEMENTS OF THE KKM THEORY FOR GENERALIZED CONVEX SPACE

  • Park, Se-Hei
    • Journal of applied mathematics & informatics
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    • v.7 no.1
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    • pp.1-28
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    • 2000
  • In the present paper, we introduce fundamental results in the KKM theory for G-convex spaces which are equivalent to the Brouwer theorem, the Sperner lemma, and the KKM theorem. Those results are all abstract versions of known corresponding ones for convex subsets of topological vector spaces. Some earlier applications of those results are indicated. Finally, We give a new proof of the Himmelberg fixed point theorem and G-convex space versions of the von Neumann type minimax theorem and the Nash equilibrium theorem as typical examples of applications of our theory.

Performance Analysis of the Asynchronous IMT-2000 System Receiver with Array Antenna and MRC-Diversity (Array 안테나와 최대비 합성 다이버시티를 채용한 비동기식 IMT-2000 시스템의 수신성능 분석)

  • 왕용철;우병훈;강희조
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2001.05a
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    • pp.191-196
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    • 2001
  • 본 논문은 광대역 무선통신환경에서 3GCPP(3.4 Generation Partnership proiect)에 기반한 비동기 IMT-2000 시스템의 송수신 시스템을 구성하여 기지국의 수신성능을 분석하였다. 적용된 시스템은 이동국과 기지국간의 Uplink 채널 환경을 고려하였으며, 기지국의 수신신호는 다중경로 페이딩(Multi-path Fading)과 다중접속간섭(Mult Access Interference : MAI)의 영향으로 성능이 열화되며 이에 대한 대책으로 Array 안테나를 채용하였을 경우와 MRC-Diversity(Maximal Combing Diversity)를 채용하였을 경우의 수신성능을 동일한 환경에서 비교 분석하였다. 본 논문에서 적용한 Array 안테나는 수신 신호의 방향에 파라 적응적으로 추적하여 수신 SNR(Singnal-to-Noise power Ratio)을 최대로 형성하여 시스템의 성능을 개선하는 기법이며, 안테나의 방향성(Directivity : =2.67을 이용하는 3-element Array 안테나를 채용하였다. 최대비 합성 다이버시티 기법은 다이버시티 기법 중 수신효율이 가장 좋으며 가지수(L=2)를 함수로 사용하였다. 성능분석 결과 다중경로 페이딩과 다중접속간섭 환경에서 최대비 합성 다이버시티 기법이 Array 안테나보다 약 Eb/No=4[dB]정도 수신효율이 우수하였다.

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CHAOTIC THRESHOLD ANALYSIS OF NONLINEAR VEHICLE SUSPENSION BY USING A NUMERICAL INTEGRAL METHOD

  • Zhuang, D.;Yu, F.;Lin, Y.
    • International Journal of Automotive Technology
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    • v.8 no.1
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    • pp.33-38
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    • 2007
  • Since it is difficult to analytically express the Melnikov function when a dynamic system possesses multiple saddle fixed points with homoclinic and/or heteroclinic orbits, this paper investigates a vehicle model with nonlinear suspension spring and hysteretic damping element, which exhibits multiple heteroclinic orbits in the unperturbed system. First, an algorithm for Melnikov integrals is developed based on the Melnikov method. And then the amplitude threshold of road excitation at the onset of chaos is determined. By numerical simulation, the existence of chaos in the present system is verified via time history curves, phase portrait plots and $Poincar{\acute{e}}$ maps. Finally, in order to further identify the chaotic motion of the nonlinear system, the maximal Lyapunov exponent is also adopted. The results indicate that the numerical method of estimating chaotic threshold is an effective one to complicated vehicle systems.

A novel story on rock slope reliability, by an initiative model that incorporated the harmony of damage, probability and fuzziness

  • Wang, Yajun
    • Geomechanics and Engineering
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    • v.12 no.2
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    • pp.269-294
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    • 2017
  • This study aimed to realize the creation of fuzzy stochastic damage to describe reliability more essentially with the analysis of harmony of damage conception, probability and fuzzy degree of membership in interval [0,1]. Two kinds of fuzzy behaviors of damage development were deduced. Fuzzy stochastic damage models were established based on the fuzzy memberships functional and equivalent normalization theory. Fuzzy stochastic damage finite element method was developed as the approach to reliability simulation. The three-dimensional fuzzy stochastic damage mechanical behaviors of Jianshan mine slope were analyzed and examined based on this approach. The comprehensive results, including the displacement, stress, damage and their stochastic characteristics, indicate consistently that the failure foci of Jianshan mine slope are the slope-cutting areas where, with the maximal failure probability 40%, the hazardous Domino effects will motivate the neighboring rock bodies' sliding activities.

Numerical Study of Breaking Wave Forces Acting on Vertical Cylindrical Piles (鉛直 원형파일에 작용하는 碎波波力의 수치해석)

  • 심재설;전인식;이홍식
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.10 no.2
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    • pp.100-108
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    • 1998
  • Morison formula has been used in the determination of wave forces acting on vertical cylindrical piles of ocean structures. The formula, however, can be applied to mildly varying varying incident waves with symmetrical shapes. The breaking waves impinge on structures with very high impact forces, which completely differ from the inertia and drag forces of the Morison formula in both magnitudes and characteristics. In the present study, a boundary element method is applied to determine the water particle velocity and acceleration under the breaking waves. A numerical model is then developed to determine breaking wave forces utilizing those water particle kinematics. The results of the model is then developed to determine breaking wave forces utilizing those water particle kinematics. The results of the model agree well with existing experimental data, giving maximal wave forces 3 times and maximal moments 5 times larger than the Morison formula does.

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Cloning and Characterization of BTG-1 Gene from Pacific Oyster (Crassostrea gigas) (참굴(Crassostrea gigas)의 BTG1 유전자의 특성)

  • Chung, In Young;Oh, Jeong Hwan;Song, Young Hwan
    • Journal of Life Science
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    • v.27 no.4
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    • pp.398-407
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    • 2017
  • BTG 1 (B-cell translocation gene 1) gene was first identified as a translocation gene in a case of B-cell chronic lympocytic leukemia. BTG1 is a member of the BTG/TOB family with sharing a conserved N-terminal region, which shows anti-proliferation properties and is able to stimulate cell differentiation. In this study, we identified and characterized the pacific oyster Crassostrea gigas BTG1 (cg-BTG1) gene from the gill cDNA library by an Expressed Sequence Tag (EST) analysis and its nucleotide sequence was determined. The cg-BTG1 gene encodes a predicted protein of 182 amino acids with 57% 56% identities to its zebrafish and human counterparts, and is an intron-less gene, which was confirmed by PCR analysis of genomic DNA. Maximal homologies were shown in conserved Box A and B. The deduced amino acid sequence shares high identity with other BTG1 genes of human, rat, mouse and zebrafish. The phylogenic analysis and sequence comparison of cg-BTG1 with other BTG1 were found to be closely related to the BTG1 gene structure. In addition, the predicted promoter region and the different transcription-factor binding site like an activator protein-1 (AP-1) response element involved in negative regulation and serum response element (SRE) were able to be identified by the genomic DNA walking experiment. The quantitative real-time PCR analysis showed that the mRNA of cg-BTG1 gene was expressed in gill, heart, digestive gland, intestine, stomach and mantle. The cg-BTG1 gene was expressed mainly in heart and mantle.

Effects of orthodontic mini-implant position in the dragon helix appliance on tooth displacement and stress distribution: a three-dimensional finite element analysis (교정용 미니임플랜트 식립 위치에 따른 dragon helix의 효과에 대한 유한요소해석)

  • Kim, Min-Ji;Park, Sun-Hyung;Kim, Hyeon-Seong;Mo, Sung-Seo;Sung, Sang-Jin;Jang, Gang-Won;Chun, Youn-Sic
    • The korean journal of orthodontics
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    • v.41 no.3
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    • pp.191-199
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    • 2011
  • Objective: The purpose of this study was to investigate the stress distribution on the orthodontic mini-implant (OMI) surface and periodontal ligament of the maxillary first and second molars as well as the tooth displacement according to the OMI position in the dragon helix appliance during scissors-bite correction. Methods: OMIs were placed at two maxillary positions, between the first and the second premolars (group 1) and between the second premolar and the first molar (group 2). The stress distribution area (SDA) was analyzed by three-dimensional finite element analysis. Results: The maximal SDA of the OMI did not differ between the groups. It was located at the cervical area and palatal root apex of the maxillary first molar in groups 1 and 2, respectively, indicating less tipping in group 2. The minimal SDA was located at the root and furcation area of the maxillary second molar in groups 1 and 2, respectively, indicating greater palatal crown displacement in group 2. Conclusions: Placement of the OMI between the maxillary second premolar and the maxillary first molar to serve as an indirect anchor in the dragon helix appliance minimizes anchorage loss while maximizing the effect on scissors-bite correction.

Biomechanical Analysis of Biodegradable Cervical Plates Developed for Anterior Cervical Discectomy and Fusion

  • Cho, Pyung Goo;Ji, Gyu Yeul;Park, Sang Hyuk;Shin, Dong Ah
    • Asian Spine Journal
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    • v.12 no.6
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    • pp.1092-1099
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    • 2018
  • Study Design: In-vitro biomechanical investigation. Purpose: To evaluate the biomechanical effects of the degeneration of the biodegradable cervical plates developed for anterior cervical discectomy and fusion (ACDF) on fusion and adjacent levels. Overview of Literature: Biodegradable implants have been recently introduced for cervical spine surgery. However, their effectiveness and safety remains unclear. Methods: A linear three-dimensional finite element (FE) model of the lower cervical spine, comprising the C4-C6 vertebrae was developed using computed tomography images of a 46-year-old woman. The model was validated by comparison with previous reports. Four models of ACDF were analyzed and compared: (1) a titanium plate and bone block (Tita), (2) strong biodegradable plate and bone block (PLA-4G) that represents the early state of the biodegradable plate with full strength, (3) weak biodegradable plate and bone block (PLA-1G) that represents the late state of the biodegradable plate with decreased strength, and (4) stand-alone bone block (Bloc). FE analysis was performed to investigate the relative motion and intervertebral disc stress at the surgical (C5-C6 segment) and adjacent (C4-C5 segment) levels. Results: The Tita and PLA-4G models were superior to the other models in terms of higher segment stiffness, smaller relative motion, and lower bone stress at the surgical level. However, the maximal von Mises stress at the intervertebral disc at the adjacent level was significantly higher in the Tita and PLA-4G models than in the other models. The relative motion at the adjacent level was significantly lower in the PLA-1G and Bloc models than in the other models. Conclusions: The use of biodegradable plates will enhance spinal fusion in the initial stronger period and prevent adjacent segment degeneration in the later, weaker period.