• Title/Summary/Keyword: Classical dimension

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A New Type of Clustering Problem with Two Objectives (복수 목적함수를 갖는 새로운 형태의 집단분할 문제)

  • Lee, Jae-Yeong
    • Journal of Korean Institute of Industrial Engineers
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    • v.24 no.1
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    • pp.145-156
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    • 1998
  • In a classical clustering problem, grouping is done on the basis of similarities or distances (dissimilarities) among the elements. Therefore, the objective is to minimize the variance within each group while maximizing the between-group variance among all groups. In this paper, however, a new class of clustering problem is introduced. We call this a laydown grouping problem (LGP). In LGP, the objective is to minimize both the within-group and between-group variances. Furthermore, the problem is expanded to a multi-dimensional case where the two-way minimization process must be considered for each dimension simultaneously for all measurement characteristics. At first, the problem is assessed by analyzing its variance structures and their complexities by conjecturing that LGP is NP-complete. Then, the simulated annealing (SA) algorithm is applied and the results are compared against that from others.

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GORENSTEIN DIMENSIONS OF UNBOUNDED COMPLEXES UNDER BASE CHANGE

  • Wu, Dejun
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.3
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    • pp.779-791
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    • 2016
  • Transfer of homological properties under base change is a classical field of study. Let $R{\rightarrow}S$ be a ring homomorphism. The relations of Gorenstein projective (or Gorenstein injective) dimensions of unbounded complexes between $U{\otimes}^L_RX$(or $RHom_R(X,U)$) and X are considered, where X is an R-complex and U is an S-complex. In addition, some sufficient conditions are given under which the equalities $G-dim_S(U{\otimes}^L_RX)=G-dim_RX+pd_SU$ and $Gid_S(RHom_R(X,U))=G-dim_RX+id_SU$ hold.

ON DISTANCE-PRESERVING MAPPINGS

  • Jung, Soon-Mo;M.Rassias, Themistocles
    • Journal of the Korean Mathematical Society
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    • v.41 no.4
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    • pp.667-680
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    • 2004
  • We generalize a theorem of W. Benz by proving the following result: Let $H_{\theta}$ be a half space of a real Hilbert space with dimension $\geq$ 3 and let Y be a real normed space which is strictly convex. If a distance $\rho$ > 0 is contractive and another distance N$\rho$ (N $\geq$ 2) is extensive by a mapping f : $H_{\theta}$ \longrightarrow Y, then the restriction f│$_{\theta}$ $H_{+}$$\rho$/2// is an isometry, where $H_{\theta}$$\rho$/2/ is also a half space which is a proper subset of $H_{\theta}$. Applying the above result, we also generalize a classical theorem of Beckman and Quarles.

Climate Prediction by a Hybrid Method with Emphasizing Future Precipitation Change of East Asia

  • Lim, Yae-Ji;Jo, Seong-Il;Lee, Jae-Yong;Oh, Hee-Seok;Kang, Hyun-Suk
    • The Korean Journal of Applied Statistics
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    • v.22 no.6
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    • pp.1143-1152
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    • 2009
  • A canonical correlation analysis(CCA)-based method is proposed for prediction of future climate change which combines information from ensembles of atmosphere-ocean general circulation models(AOGCMs) and observed climate values. This paper focuses on predictions of future climate on a regional scale which are of potential economic values. The proposed method is obtained by coupling the classical CCA with empirical orthogonal functions(EOF) for dimension reduction. Furthermore, we generate a distribution of climate responses, so that extreme events as well as a general feature such as long tails and unimodality can be revealed through the distribution. Results from real data examples demonstrate the promising empirical properties of the proposed approaches.

Intelligent 3D Obstacles Recognition Technique Based on Support Vector Machines for Autonomous Underwater Vehicles

  • Mi, Zhen-Shu;Kim, Yong-Gi
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.3
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    • pp.213-218
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    • 2009
  • This paper describes a classical algorithm carrying out dynamic 3D obstacle recognition for autonomous underwater vehicles (AUVs), Support Vector Machines (SVMs). SVM is an efficient algorithm that was developed for recognizing 3D object in recent years. A recognition system is designed using Support Vector Machines for applying the capabilities on appearance-based 3D obstacle recognition. All of the test data are taken from OpenGL Simulation. The OpenGL which draws dynamic obstacles environment is used to carry out the experiment for the situation of three-dimension. In order to verify the performance of proposed SVMs, it compares with Back-Propagation algorithm through OpenGL simulation in view of the obstacle recognition accuracy and the time efficiency.

Fractional order thermoelastic wave assessment in a two-dimension medium with voids

  • Hobiny, Aatef D.;Abbas, Ibrahim A.
    • Geomechanics and Engineering
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    • v.21 no.1
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    • pp.85-93
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    • 2020
  • In this article, the generalized thermoelastic theory with fractional derivative is presented to estimate the variation of temperature, the components of stress, the components of displacement and the changes in volume fraction field in two-dimensional porous media. Easily, the exact solutions in the Laplace domain are obtained. By using Laplace and Fourier transformations with the eigenvalues method, the physical quantities are obtained analytically. The numerical results for all the physical quantities considered are implemented and presented graphically. The results display that the present model with the fractional derivative is reduced to the Lord and Shulman (LS) and the classical dynamical coupled (CT) theories when the fractional parameter is equivalent to one and the delay time is equal to zero and respectively.

"Homeward returning": A Plebeian Romance and Naturalization of Vagrancy in John Milton's Paradise Lost

  • Cho, Hyunyoung
    • Journal of English Language & Literature
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    • v.64 no.1
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    • pp.135-150
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    • 2018
  • Focusing on the hermeneutic instability of a key word of Paradise Lost, "wander," this study attempts to situate John Milton's early modern epic in the longue $dur{\acute{e}}e$ historical transition from seignorial to capitalist mode of production, especially the displacement and reorganization of producer population, a corollary of early phase of modernization. The historic experience of vagrancy and its normalization, and the concomitant shift of the primary human sociability from given to voluntary bonds, I suggest, shape and inform Milton's early modern rewriting of the Biblical story of the fall and his revising of the heroic epic romance into a plebeian romance of a wandering, companionate couple. While building on the critical consensus on this poem's deliberate distancing from the tradition of classical epic and chivalric romance, this essay argues that Milton re-appropriates and re-channels the aspirational aspect of chivalric wandering, or mobility, for his plebeian heroes, a companionate conjugal couple. The hermeneutic instability of the word wander, this essay suggests, captures the duality of the historic experience of vagrancy, both the tragic experience of displacement and the liberational and uplifting dimension of that experience.

Alignment of transmitters in indoor visible light communication for flat channel characteristics

  • Curuk, Selva Muratoglu
    • ETRI Journal
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    • v.44 no.1
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    • pp.125-134
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    • 2022
  • Visible light communication (VLC) systems incorporate ambient lighting and wireless data transmission, and the experienced channel in indoor VLC is a major topic that should be examined for reliable communication. In this study, it is realized that multiple transmitters in classical alignment are the forceful factors for channel characteristics. In the frequency band, fluctuations with sudden drops are observed, where the fluctuation shape is related to the source layout and receiver location. These varying frequency-selective channels need solutions, especially for mobile users, because sustained channel estimation and equalization are necessary as the receiver changes its location. It is proven that using light-emitting diodes (LEDs) with highly directional beams as sources or using a detector with a narrow field of view (FOV) in the receiver may help partially alleviate the problem; the frequency selectivity of the channel reduces in some regions of the room. For flat fading channel characteristics all over the room, LEDs should be aligned in hexagonal cellular structure, and detector FOV should be arranged according to the cell dimension outcomes.

Impact of the geometric properties of intracranial vascular bifurcation and the mechanism of aneurysm occurrence and rupture

  • Liu, Jun;Zhang, Qingyun;Chen, Hua
    • Advances in nano research
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    • v.13 no.4
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    • pp.379-391
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    • 2022
  • One factor that can heighten the risk of the rapture intracranial aneurysm (IA) is bifurcations, which can cause the IA to evaluate. This study presents the effect of geometric of intracranial vascular on the bifurcation analysis of the aneurysm occurrence. The aneurysm mechanism is mathematically modeled based on the nano pipe structures under the thermal stresses, and the impact of the aneurysm geometric on the stability and bifurcation points is analyzed. Because of the dimension of these structures, the classical theories could not predict their behavior perfectly, so the nonclassical and nonlocal theories are required for the mechanical modeling of the aneurysm. The presented results show that the bifurcation point of the aneurysm mechanism is dependent on the environment temperature, and the temperature change plays an essential role in the stability of these structures.

Morphometric Traits and Cytogenetic Analysis in Induced Cross and Reciprocal Hybrid between Rhodeus uyekii and R. notatus (각시붕어 Rhodeus uyekii와 떡납줄갱이 R. notatus 간 정교배체, 상반교배체의 계측형질과 세포유전학적 분석)

  • Kim, Bong-Seok;Kang, Eon-Jong;Jang, Hyuk;Park, In-Seok
    • Korean Journal of Ichthyology
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    • v.24 no.3
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    • pp.151-159
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    • 2012
  • Cross and reciprocal hybrids from intrageneric crosses between Rhodeus uyekii and R. notatus were analyzed morphometrically using truss and classical dimensions, erythrocyte size using blood smears, and cytogenetically using flowcytometry, then compared with the parental species. Although the morphometric assessment based on body proportions indicated that the hybrids were generally intermediate between the maternal and paternal species, the morphometric characters of cross and reciprocal hybrids included at least 14 paternal-like and 7 maternal-like, and 13 paternal-like and 5 maternal-like characters, respectively (P<0.05). The pigmentation of the hybrids was intermediate in some respects, and resembled that of the parental species. The DNA content of the cross and reciprocal hybrids, based on flow cytometry analysis, was significantly different from the parental species. The characterization of morphometric traits and the cytogenetic analysis of hybrids of R. uyekii and R. notatus used in this study may be useful for distinguishing genotypes in commercial Acheilognathinae aquaculture.