• Title/Summary/Keyword: I-open set

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Conditional Covering : Worst Case Analysis of Greedy Heuristics

  • Moon, I.Douglas
    • Journal of the Korean Operations Research and Management Science Society
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    • v.15 no.2
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    • pp.97-104
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    • 1990
  • The problem is a variation of the weighted set-covering problem (SCP) which requires the minimum-cost cover to be self-covering. It is shown that direct extension of the well-known greedy heuristic for SCP can have an arbitrarily large error in the worst case. It remains an open question whther these exists a greedy heuristic with a finite error bound.

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LIPSCHITZ REGULARITY OF M-HARMONIC FUNCTIONS

  • Youssfi, E.H.
    • Journal of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.959-971
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    • 1997
  • In the paper we introduce Hausdorff measures which are suitable or the study of Lipschitz regularity of M-harmonic function in the unit ball B in $C^n$. For an M-harmonic function h which satisfies certain integrability conditions, we show that there is an open set $\Omega$, whose Hausdorff content is arbitrarily small, such that h is Lipschitz smooth on $B \backslash \Omega$.

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An Improved Sample Balanced Genetic Algorithm and Extreme Learning Machine for Accurate Alzheimer Disease Diagnosis

  • Sachnev, Vasily;Suresh, Sundaram
    • Journal of Computing Science and Engineering
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    • v.10 no.4
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    • pp.118-127
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    • 2016
  • An improved sample balanced genetic algorithm and Extreme Learning Machine (iSBGA-ELM) was designed for accurate diagnosis of Alzheimer disease (AD) and identification of biomarkers associated with AD in this paper. The proposed AD diagnosis approach uses a set of magnetic resonance imaging scans in Open Access Series of Imaging Studies (OASIS) public database to build an efficient AD classifier. The approach contains two steps: "voxels selection" based on an iSBGA and "AD classification" based on the ELM. In the first step, the proposed iSBGA searches for a robust subset of voxels with promising properties for further AD diagnosis. The robust subset of voxels chosen by iSBGA is then used to build an AD classifier based on the ELM. A robust subset of voxels keeps a high generalization performance of AD classification in various scenarios and highlights the importance of the chosen voxels for AD research. The AD classifier with maximum classification accuracy is created using an optimal subset of robust voxels. It represents the final AD diagnosis approach. Experiments with the proposed iSBGA-ELM using OASIS data set showed an average testing accuracy of 87%. Experiments clearly indicated the proposed iSBGA-ELM was efficient for AD diagnosis. It showed improvements over existing techniques.

On Fuzzifying Nearly Compact Spaces

  • Zahran, A.M.;Sayed, O.R.;Abd-Allah, M. Azab;Mousa, A.K.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.4
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    • pp.296-302
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    • 2010
  • This paper considers fuzzifying topologies, a special case of I-fuzzy topologies (bifuzzy topologies) introduced by Ying [16, (I)]. It investigates topological notions defined by means of regular open sets when these are planted into the frame-work of Ying's fuzzifying topological spaces (in ${\L}$ukasiewwicz fuzzy logic). The concept of fuzzifying nearly compact spaces is introduced and some of its properties are obtained. We use the finite intersection property to give a characterization of fuzzifying nearly compact spaces. Furthermore, we study the image of fuzzifying nearly compact spaces under fuzzifying completely continuous functions, fuzzifying almost continuity and fuzzifying R-map.

Void Closing Conditions of Large Ingot by Path Schedules (대형 잉곳의 기공압착 효과 향상을 위한 폐쇄조건 연구)

  • Choi, I.J.;Choi, H.J.;Kim, D.W.;Choi, S.;Lim, S.J.
    • Transactions of Materials Processing
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    • v.19 no.8
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    • pp.480-485
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    • 2010
  • In this work, the closing behavior of cylindrical-shaped voids was experimentally investigated according to various parameters such as reduction ratio in height, initial void size and billet rotation during hot open die forging process. The reduction ratio in height, number of path, and billet rotation were chosen as key process parameters which influence the void closing behavior including the change of void shape and size. On the other hand, values of die overlapping and die width ratio were set to be constant. Void closing behavior was estimated by microscopic observation. Based on the observations, it was confirmed that application of billet rotation is more efficient to eliminate the void with less reduction ratio in height. The experimental results obtained from this study could be helpful to establish the optimum path schedule of open die forging process.

Intrinsic Gating in Inward Rectifier Potassium Channels (Kir2.1) with Low Polyamine Affinity Generated by Site Directed Mutagenesis

  • So, I.;Ashmole, I.;Soh, H.;Park, C.S.;Spencer, P.J.;Leyland, M.;Stanfield, P.R.
    • The Korean Journal of Physiology and Pharmacology
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    • v.7 no.3
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    • pp.131-142
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    • 2003
  • We have studied mutant forms of Kir2.1 in which an aspartate residue (D172), important for gating by intracellular polyamines, is replaced by one of three basic residues (Arg, Lys or His). Such channels are highly selective for $K^+$, but show inward rectification that is a shallow function of voltage compared with that found in wild type. This inward rectification occurs with a reduced affinity for spermine and persists in the absence of polyamines. Though the unitary current-voltage relation shows some inward rectification, it is insufficient to account for that seen under whole cell recording. Channels open and shut under single channel recording, and changes of $P_{open}$ appear to generate inward rectification. In D172H, the reduction in affinity for spermine is greater when His is protonated at low $pH_i$. The effective valency for spermine is reduced from $3.09{\pm}0.07$ in wild type to $1.95{\pm}0.09$ in D172H at $pH_i$ 6.3. In the presence of dual mutants of Kir2.1, where E224 is also replaced, spermine affinity becomes undetectable. However, channels still show inward rectification and open and shut under hyper- and depolarisation, respectively. We suggest that Kir2.1 channel are able to undergo conformation changes; these changes may be important physiologically in generating inward rectification, the normal parameters of which are set by the binding of polyamines such as spermine.

HARMONIC KAHLER FORMS ON HYPERKAHLER MANIFOLDS

  • Park, Kwang-Soon
    • Communications of the Korean Mathematical Society
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    • v.18 no.3
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    • pp.515-519
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    • 2003
  • Let M be a hyperkahler manifold with the hyperkahler structure (g, I, J, K). In [5], D. Huybrechts suggests that it is an open and interesting question whether any Kahler class that stays Kahler in the twister family can actually be represented by an harmonic Kahler form. In this paper we will consider both this problem and the set of all the primitive harmonic Kahler forms on M.

POSITIVE SOLUTIONS ON NONLINEAR BIHARMONIC EQUATION

  • Choi, Q-Heung;Jung, Tacksun
    • Korean Journal of Mathematics
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    • v.5 no.1
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    • pp.29-33
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    • 1997
  • In this paper we investigate the existence of positive solutions of a nonlinear biharmonic equation under Dirichlet boundary condition in a bounded open set ${\Omega}$ in $\mathbf{R}^n$, i.e., $${\Delta}^2u+c{\Delta}u=bu^{+}+s\;in\;{\Omega},\\u=0,\;{\Delta}u=0\;on\;{\partial}{\Omega}$$.

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A Study on the Development of Curriculum for the Department of Fishing Technology in Fisheries Junior College (전문대학(專門大學) 어업과(漁業科) 교육과정(敎育課程)의 발전적(發展的) 개정(改正)에 관한 연구(硏究))

  • Chung, Heung-Ki;Song, Ji-Ho;Lee, Kil-Rae;Bae, Seok-Jae;Hong, Sung-Kun;Cho, Bong-Kon;Lee, Won-Woo;Chang, Ho-Young
    • Journal of Fisheries and Marine Sciences Education
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    • v.2 no.1
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    • pp.1-14
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    • 1989
  • The authors studied on the modification of the curriculum for the department of fishing technology in Fisheries junior college, by collecting and analyaing the references, questionaires and consultation according to the trends in industry and employment. Especially, rapid develop of the fishing technology with the modernization and automatization of fishing vessels, the present curriculum formulated in 1983 is required to be rearranged. Accordingly, the authors studied on the development of characteristic curriculum which could cultivate the professional fishing engineers. The results obtained can be summarized as follows : 1. Total open credits should be 160 credits. 2. Cultural subjects are set 32credits, 20% of total open credits, but the subjects may be choosen by the situation of each fisheries junior college. 3. Major subjects are set 128 credits with 36 subjects including the 3rd year course. 4. The proportion of the compulsory to the elective credits in the major subjects are made 1 to 2. 5. Compulsory major subjects are set 29 credits with 11 subjects during the 1st and 2nd year course. Training on the board (I) and (II) are set 40 credits during 3rd year course and evaluated as pass or not. 6. The proportion of the credits of subjects concerning to fishery and navigation is made 1 to 1. 7. In order to strengthen the computation education, the E.D.P.S. is sets 3 credits in the cultural subjects.

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ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy

  • Takahasi, Sin-Ei;Miura, Takeshi;Miyajima, Shizuo
    • Bulletin of the Korean Mathematical Society
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    • v.39 no.2
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    • pp.309-315
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    • 2002
  • Let I be an open interval and X a complex Banach space. Let$\varepsilon\geq0\;and\;\lambda$ a non-zero complex number with Re $\lambda\neq0$. If $\varphi$ is a strongly differentiable map from I to X with $\parallel\varphi^'(t)-\lambda\varphi(t)\parallel\leq\varepsilon\;for\;all\;t\in\;I$, then we show that the distance between $\varphi$ and the set of all solutions to the differential equation y'=$\lambda$y is at most $\varepsilon/$\mid$Re\lambda$\mid$$.