• 제목/요약/키워드: global dimension

검색결과 245건 처리시간 0.022초

SPACES OF CONFORMAL VECTOR FIELDS ON PSEUDO-RIEMANNIAN MANIFOLDS

  • KIM DONG-SOO;KIM YOUNG-HO
    • Journal of the Korean Mathematical Society
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    • 제42권3호
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    • pp.471-484
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    • 2005
  • We study Riemannian or pseudo-Riemannian manifolds which carry the space of closed conformal vector fields of at least 2-dimension. Subject to the condition that at each point the set of closed conformal vector fields spans a non-degenerate subspace of the tangent space at the point, we prove a global and a local classification theorems for such manifolds.

A HOMOLOGICAL CHARACTERIZATION OF PRÜFER v-MULTIPLICATION RINGS

  • Zhang, Xiaolei
    • Bulletin of the Korean Mathematical Society
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    • 제59권1호
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    • pp.213-226
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    • 2022
  • Let R be a ring and M an R-module. Then M is said to be regular w-flat provided that the natural homomorphism I ⊗R M → R ⊗R M is a w-monomorphism for any regular ideal I. We distinguish regular w-flat modules from regular flat modules and w-flat modules by idealization constructions. Then we give some characterizations of total quotient rings and Prüfer v-multiplication rings (PvMRs for short) utilizing the homological properties of regular w-flat modules.

Multiple testing and its applications in high-dimension (고차원자료에서의 다중검정의 활용)

  • Jang, Woncheol
    • Journal of the Korean Data and Information Science Society
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    • 제24권5호
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    • pp.1063-1076
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    • 2013
  • The power of modern technology is opening a new era of big data. The size of the datasets affords us the opportunity to answer many open scientific questions but also presents some interesting challenges. High-dimensional data such as microarray are common in big data. In this paper, we give an overview of recent development of multiple testing including global and simultaneous testing and its applications to high-dimensional data.

Multi-scale finite element analysis of acoustic waves using global residual-free meshfree enrichments

  • Wu, C.T.;Hu, Wei
    • Interaction and multiscale mechanics
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    • 제6권2호
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    • pp.83-105
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    • 2013
  • In this paper, a multi-scale meshfree-enriched finite element formulation is presented for the analysis of acoustic wave propagation problem. The scale splitting in this formulation is based on the Variational Multi-scale (VMS) method. While the standard finite element polynomials are used to represent the coarse scales, the approximation of fine-scale solution is defined globally using the meshfree enrichments generated from the Generalized Meshfree (GMF) approximation. The resultant fine-scale approximations satisfy the homogenous Dirichlet boundary conditions and behave as the "global residual-free" bubbles for the enrichments in the oscillatory type of Helmholtz solutions. Numerical examples in one dimension and two dimensional cases are analyzed to demonstrate the accuracy of the present formulation and comparison is made to the analytical and two finite element solutions.

LONG-TIME BEHAVIOR OF A FAMILY OF INCOMPRESSIBLE THREE-DIMENSIONAL LERAY-α-LIKE MODELS

  • Anh, Cung The;Thuy, Le Thi;Tinh, Le Tran
    • Bulletin of the Korean Mathematical Society
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    • 제58권5호
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    • pp.1109-1127
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    • 2021
  • We study the long-term dynamics for a family of incompressible three-dimensional Leray-α-like models that employ the spectral fractional Laplacian operators. This family of equations interpolates between incompressible hyperviscous Navier-Stokes equations and the Leray-α model when varying two nonnegative parameters 𝜃1 and 𝜃2. We prove the existence of a finite-dimensional global attractor for the continuous semigroup associated to these models. We also show that an operator which projects the weak solution of Leray-α-like models into a finite-dimensional space is determining if it annihilates the difference of two "nearby" weak solutions asymptotically, and if it satisfies an approximation inequality.

An Improved Artificial Bee Colony Algorithm Based on Special Division and Intellective Search

  • Huang, He;Zhu, Min;Wang, Jin
    • Journal of Information Processing Systems
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    • 제15권2호
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    • pp.433-439
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    • 2019
  • Artificial bee colony algorithm is a strong global search algorithm which exhibits excellent exploration ability. The conventional ABC algorithm adopts employed bees, onlooker bees and scouts to cooperate with each other. However, its one dimension and greedy search strategy causes slow convergence speed. To enhance its performance, in this paper, we abandon the greedy selection method and propose an artificial bee colony algorithm with special division and intellective search (ABCIS). For the purpose of higher food source research efficiency, different search strategies are adopted with different employed bees and onlooker bees. Experimental results on a series of benchmarks algorithms demonstrate its effectiveness.

Returning to Daily Life--Research on Chinese Community Construction under the Background of Urban Renewal

  • Lu Ziyan;Lee Jaewoo
    • International Journal of Advanced Culture Technology
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    • 제11권3호
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    • pp.231-235
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    • 2023
  • Currently, China's urban landscape is undergoing a gradual shift from incremental development to stock renovation. Furthermore, the planning and development objectives of urban communities have evolved from solely focusing on physical space construction to promoting sustainable development within a humanistic society. The current approach to community planning and construction, which emphasizes a singular dimension of residential life, overlooks the multifaceted aspects of community life and production. This oversight leads to a lack of attention to interpersonal relationships within the community, difficulties in establishing a connection between people and their environment, and numerous other issues. Consequently, this paper seeks to redefine the concept of sociality within community spaces by considering the continuum of time and space within communities. It aims to delineate the roles of "power" and "rights" within the community context, with a particular focus on everyday life, in order to reevaluate strategies and methods for fostering dynamic community development.

ON SEMI-REGULAR INJECTIVE MODULES AND STRONG DEDEKIND RINGS

  • Renchun Qu
    • Bulletin of the Korean Mathematical Society
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    • 제60권4호
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    • pp.1071-1083
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    • 2023
  • The main motivation of this paper is to introduce and study the notions of strong Dedekind rings and semi-regular injective modules. Specifically, a ring R is called strong Dedekind if every semi-regular ideal is Q0-invertible, and an R-module E is called a semi-regular injective module provided Ext1R(T, E) = 0 for every 𝓠-torsion module T. In this paper, we first characterize rings over which all semi-regular injective modules are injective, and then study the semi-regular injective envelopes of R-modules. Moreover, we introduce and study the semi-regular global dimensions sr-gl.dim(R) of commutative rings R. Finally, we obtain that a ring R is a DQ-ring if and only if sr-gl.dim(R) = 0, and a ring R is a strong Dedekind ring if and only if sr-gl.dim(R) ≤ 1, if and only if any semi-regular ideal is projective. Besides, we show that the semi-regular dimensions of strong Dedekind rings are at most one.

Effects of Marketing Strategy on Brand attitude, Store affect, and Store loyalty: A comparison between Global and Korean SPA brands (마케팅 전략이 브랜드 태도, 점포감정, 점포충성도에 미치는 효과: 글로벌 SPA 대 한국형 SPA 비교)

  • Ko, Soon Hwa;Kim, Eun Young
    • Fashion & Textile Research Journal
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    • 제16권3호
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    • pp.386-395
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    • 2014
  • This study was to identify underlying dimension of marketing strategy, and to examine effect of the marketing strategic factors on store affect, brand attitude, and brand loyalty in global and domestic SPA brands. Based on pilot study, four SPA brands of which consumers were most aware were selected: Korean SPAs (e.g., Codes-Combine, Basic House) and global brands (e.g., Zara and Uniqlo). A self-administered questionnaire was developed based on literatures. By using intercept survey, 421 respondents were obtained from consumers shopping at the selected SPA retail stores located in cities (Seoul, Daejon, Chongju) in Korea. Result showed that SPA brand marketing strategy consisted of four factors: Product differentiation, store location, in-store VMD, and price value. The marketing strategic factors had partially significant effects on brand attitude, store affect and store loyalty. However, there was significant differences in those effects between global and Korean SPA brands. Specifically, the effect of in-store VMD on brand attitude was higher in Korean SPA brands, whereas the effect of price value was higher in global SPA brand. Also, the price value was significant predictor of store affects in global SPAs, while in-store VMD was significant predictor of store loyalty in Korean SPA brands. This study discussed a managerial implication for creating brand attitude and emotional responses, which obtains comparative advantages in the competing marketplace.

An Empirical Analysis of the Bilateral Linkages between Foreign Direct Investment and Global Value Chains (해외직접투자와 글로벌 가치사슬의 양자간 연계성 실증 분석)

  • Hyun-Jung Choi;Hyun-Hoon Lee
    • Korea Trade Review
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    • 제47권4호
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    • pp.233-254
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    • 2022
  • Although there is growing literature evidence of linkages between global value chains (GVCs) and foreign direct investment (FDI), the results are mixed and ambiguous by geographic dimension, time period and sectoral scope. Moreover, bilateral approaches on these connections have been rarely analyzed. In this context, we investigate the effect of bilateral greenfield FDI and cross-border M&A on GVC linkages between host countries and source countries. We match three-year averages of bilateral FDI and UNCTAD-Eora GVC value-added data from 2005 to 2019 between 37 OECD sources and 176 host countries (37 OECD versus 139 non-OECD countries). In the structural gravity model, the empirical specification includes bilateral and country-period fixed effects and uses a Poisson Pseudo-Maximum Likelihood (PPML) estimator. We find that greenfield and M&A FDI promote forward and backward GVC linkage for all sectors between OECD countries, whereas greenfield FDI promotes backward GVC linkage between OECD and non-OECD countries. In addition, the results indicate that the degree of influence of GVCs by FDI flows is greater for forward GVC than backward GVC among OECD countries.