• Title/Summary/Keyword: M-category

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ON THE AXIOM OF CHOICE IN A WELL-POINTED TOPOS

  • Kim, Ig-Sung
    • The Pure and Applied Mathematics
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    • v.3 no.2
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    • pp.131-139
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    • 1996
  • Topos is a set-like category. For an axiom of choice in a topos, F. W. Lawvere and A. M. Penk introduced another versions of the axiom of choice. Also it is showed that general axiom of choice and Penk's axiom of choice are weaker than Lawvere's axiom of choice. In this paper we study that weak form of axiom of choice, axiom of choice, Penk's axiom of choice and Lawvere's axiom of choice are all equivalent in a well pointed topos.

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SOME MANIFOLDS WITH NONZERO EULER CHARACTERISTIC AS PL FIBRATORS

  • Im, Young-Ho
    • Honam Mathematical Journal
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    • v.29 no.3
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    • pp.327-339
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    • 2007
  • Approximate fibrations form a useful class of maps. By definition fibrators provide instant detection of maps in this class, and PL fibrators do the same in the PL category. We show that every closed s-hopfian t-aspherical manifold N with some algebraic conditions and X(N) $\neq$ 0 is a codimension-(2t + 2) PL fibrator.

DEPTH FOR TRIANGULATED CATEGORIES

  • Liu, Yanping;Liu, Zhongkui;Yang, Xiaoyan
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.2
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    • pp.551-559
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    • 2016
  • Recently a construction of local cohomology functors for compactly generated triangulated categories admitting small coproducts is introduced and studied by Benson, Iyengar, Krause, Asadollahi and their coauthors. Following their idea, we introduce the depth of objects in such triangulated categories and get that when (R, m) is a graded-commutative Noetherian local ring, the depth of every cohomologically bounded and cohomologically finite object is not larger than its dimension.

High-Speed Access over Copper: Rate Optimization and Signal Construction

  • Enteshari, Ali;Fadlullah, Jarir M.;Kavehrad, Mohsen
    • ETRI Journal
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    • v.31 no.5
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    • pp.489-499
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    • 2009
  • This paper focuses on assessment and design of transmission systems for distribution of digital signals over standard Category-7A copper cables at speeds beyond 10 Gbps. The main contribution of this paper is on the technical feasibility and system design for data rates of 40 Gbps and 100 Gbps over copper. Based on capacity analysis and rate optimization algorithms, system parameters are obtained and the design implementation trade-offs are discussed. Our simulation results confirm that with the aid of a decision-feedback equalizer and powerful coding techniques, namely, TCM or LDPC code, 40 Gbps transmission is feasible over 50 m of CAT-7A copper cable. These results also indicate that 100 Gbps transmission can be achieved over 15 m cables.

FINITENESS PROPERTIES GENERALIZED LOCAL COHOMOLOGY WITH RESPECT TO AN IDEAL CONTAINING THE IRRELEVANT IDEAL

  • Dehghani-Zadeh, Fatemeh
    • Journal of the Korean Mathematical Society
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    • v.49 no.6
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    • pp.1215-1227
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    • 2012
  • The membership of the generalized local cohomology modules $H_a^i$(M,N) of two R-modules M and N with respect to an ideal a in certain Serre subcategories of the category of modules is studied from below ($i<t$). Furthermore, the behaviour of the $n$th graded component $H_a^i(M,N)_n$ of the generalized local cohomology modules with respect to an ideal containing the irrelevant ideal as $n{\rightarrow}-{\infty}$ is investigated by using the above result, in certain graded situations.

Assessing the Impact of Network Effects on Brand Choice in the Growth Market: A Multi-Brand Diffusion Model

  • Seungyoo Jeon
    • International Journal of Internet, Broadcasting and Communication
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    • v.15 no.4
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    • pp.279-293
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    • 2023
  • This study investigates network effects to measure how strongly the early adopters affect the brand choice of the potential consumer. By using the Gumbel-Hougaard (GH) copula, this study checks the magnitude of network effects varied from country to country. To consider consumer heterogeneity and network effects in the growth market, this study proposes the multi-brand Gamma/Shifted-Gompertz (m-G/SG) model based on the GH copula. Out of eighteen Western European cellular phone market data and South Korea smartphone data sets, the m-G/SG model provides an improvement in the estimation accuracy over the Libai, Muller, and Peres model. The results show that network effects enhance (i) the polarization of brand choice probabilities as time elapses; (ii) the dominance of the more preferred and the earlier entered brand; and (iii) the deceleration of category-level diffusion. Potential followers can analyze their relationship with earlier entrants through the m-G/SG model and also establish an optimal market entry strategy.

E-mail Classification Using Dynamic Category Hierarchy and Automatic Generation of Category Label (분류 주제 자동 생성 및 동적분류체계 방법을 이용한 이메일 분류)

  • Ahn, C.M.;Park, S.;Park, S.H.;Choi, B.K.;Lee, J.H.
    • Proceedings of the Korean Information Science Society Conference
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    • 2004.04a
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    • pp.439-441
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    • 2004
  • 이메일 사용이 보편화됨에 따라 점차 수신되는 메일의 량이 증가하고 있다. 이러한 메일 량의 증가는 사용자로 하여금 이메일을 좀더 효율적으로 분류할 수 있는 방법을 필요하게 한다. 그러나 현재의 이메일 분류는 규칙기반, 베이시안, SVM 등을 이용하여 스팸메일을 필터링 하는 이원분류가 주로 연구되고 있다. 이외에도 다원분류에 대한 연구로는 클러스터링을 이용한 방법이 있으나, 이는 단순히 유사도에 의해 메일을 묶는 수준에 그치고 있다. 본 논문에서는 벡터모델의 유사도를 기반으로 한 분류 주제 자동 생성 알고리즘과 동적분류체계 방법을 결합하여 새로운 이메일 자동 다원분류 방법을 제안했다. 본 논문에서 제안한 방법은 이메일을 자동으로 분류하여, 분류된 결과를 색인검색과 디렉토리 검색 방법을 지원하며 대량의 메일도 효율적으로 관리할 수 있다. 또한 메시지를 동적으로 재분류 할 수 있게 함으로써 디렉토리 검색시 재현율을 높였다.

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Proteomics in Insecticide Toxicology

  • Park, Byeoung-Soo;Lee, Sung-Eun
    • Molecular & Cellular Toxicology
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    • v.3 no.1
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    • pp.11-18
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    • 2007
  • Mechanisms of insecticide resistance found in insects may include three general categories. Modified behavioral mechanisms can let the insects avoid the exposure to toxic compounds. The second category is physiological mechanisms such as altered penetration, rapid excretion, lower rate transportation, or increased storage of insecticides by insects. The third category relies on biochemical mechanisms including the insensitivity of target sites to insecticides and enhanced detoxification rate by several detoxifying mechanisms. Insecticides metabolism usually results in the formation of more water-soluble and therefore more readily eliminated, and generally less toxic products to the host insects rather than the parent compounds. The representative detoxifying enzymes are general esterases and monooxygenases that catalyze the toxic compounds to be more water-soluble forms and then secondary metabolism is followed by conjugation reactions including those catalyzed by glutathione S-transferases (GSTs). However, a change in the resistant species is not easily determined and the levels of mRNAs do not necessarily predict the levels of the corresponding proteins in a cell. As genomics understands the expression of most of the genes in an organism after being stressed by toxic compounds, proteomics can determine the global protein changes in a cell. In this present review, it is suggested that the environmental proteomic application may be a good approach to understand the biochemical mechanisms of insecticide resistance in insects and to predict metabolomic changes leading to physiological changes of the resistant species.

Prognosis after Curative Resection of Single Hepatocellular Carcinoma with A Focus on LI-RADS Targetoid Appearance on Preoperative Gadoxetic Acid-Enhanced MRI

  • Ji Yoon Moon;Ji Hye Min;Young Kon Kim;Donglk Cha;Jeong Ah Hwang;Seong Eun Ko;Seo-Youn Choi;Eun Joo Yun;Seon Woo Kim;Ho-Jeong Won
    • Korean Journal of Radiology
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    • v.22 no.11
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    • pp.1786-1796
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    • 2021
  • Objective: To evaluate the prognostic implications of preoperative magnetic resonance imaging (MRI) features of hepatocellular carcinoma (HCC) with a focus on those with targetoid appearance based on the Liver Imaging Reporting and Data System (LI-RADS), as well as known microvascular invasion (MVI) features. Materials and Methods: This retrospective study included 242 patients (190 male; mean age, 57.1 years) who underwent surgical resection of a single HCC (≤ 5 cm) as well as preoperative gadoxetic acid-enhanced MRI between January 2012 and March 2015. LI-RADS category was assigned, and the LR-M category was further classified into two groups according to rim arterial-phase hyperenhancement (APHE). The imaging features associated with MVI were also assessed. The overall survival (OS), recurrence-free survival (RFS), and their associated factors were evaluated. Results: Among the 242 HCCs, 190 (78.5%), 25 (10.3%), and 27 (11.2%) were classified as LR-4/5, LR-M with rim APHE, and LR-M without rim APHE, respectively. LR-M with rim APHE (vs. LR-4/5; hazard ratio [HR] for OS, 5.48 [p = 0.002]; HR for RFS, 2.09 [p = 0.042]) and tumor size (per cm increase; HR for OS, 6.04 [p = 0.009]; HR for RFS, 1.77 [p = 0.014]) but not MVI imaging features (p > 0.05) were independent factors associated with OS and RFS. Compared to the 5-year OS and RFS rates in the LR-4/5 group (93.9% and 66.8%, respectively), the LR-M with rim APHE group had significantly lower rates (68.0% and 45.8%, respectively, both p < 0.05), while the LR-M without rim APHE group did not significantly differ in the survival rates (91.3% and 80.2%, respectively, both p > 0.05). Conclusion: Further classification of LR-M according to the presence of rim APHE may help predict the postoperative prognosis of patients with a single HCC.

A Comparative Evaluation of Integrated Farm Models with the Village Situation in the Forest-Garden Area of Kandy, Sri Lanka

  • Ibrahim, M.N.M.;Zemmeli, G.
    • Asian-Australasian Journal of Animal Sciences
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    • v.13 no.1
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    • pp.53-59
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    • 2000
  • Data from a village household dairy survey was compared with technical parameters of three model farms (0.2, 0.4 and 0.8 ha in extent) established by the Mid-country Livestock Development Centre (MLDC). In terms of land size, about 67% of the 250 dairy farmers interviewed corresponded with the MLDC models, but only 33% of the farmers were keeping dairy cattle under conditions comparable to the MLDC models (no regular off-farm income). In the 0.2 ha category, village farmers kept more cows, and in the other two categories the village farmers kept less cows than their MLDC model counterparts. In all three categories, the milk production per cow was higher in the model farms (1540 to 2137 vs. 1464 to 1508 litres/cow/year), and this could be attributed to higher feeding levels of concentrates in the model farms as compared to the village farmers (430 to 761 vs. 233 to 383 kg/cow/year). The amount of milk produced from fodder was higher in the village situation in comparison to the models. In the mid country, dairy production seems to depend on access to fodder resources rather than on the extent of land owned. Except in the 0.8 ha village category, the highest contribution to the total income was made by the dairy component (44 to 60%). With 0.8 ha village farmers, the income contribution from dairy and crops was similar (41%). Income from other livestock was important for the 0.2 ha MLDC model, but for all other categories their contribution to total income ranged from 0 to 10%. Access to fodder resources outside own-farm land is vital for economic dairy production. As such, an in-depth analysis of feed resources available and their accessibility needs to be further investigated.