• Title/Summary/Keyword: Category theory

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CONFORMAL CHANGE OF THE CONNECTION IN 8-DIMENSIONAL g-UFT

  • CHO, CHUNG HYUN
    • Honam Mathematical Journal
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    • v.27 no.3
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    • pp.515-523
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    • 2005
  • We investigate change of the connection induced by the conformal change in 8-dimensional g-unified field theory. These topics will be studied for the second class with the first category in 8-dimensional case.

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ULTRAPRODUCTS OF LOCALLY CONVEX SPACES

  • Kang, Si-Ho
    • Bulletin of the Korean Mathematical Society
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    • v.27 no.2
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    • pp.189-196
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    • 1990
  • In this paper, we try to generalize ultraproducts in the category of locally convex spaces. To do so, we introduce D-ultracolimits. It is known [7] that the topology on a non-trivial ultraproduct in the category T $V^{ec}$ of topological vector spaces and continuous linear maps is trivial. To generalize the category Ba $n_{1}$ of Banach spaces and linear contractions, we introduce the category L $C_{1}$ of vector spaces endowed with families of semi-norms closed underfinite joints and linear contractions (see Definition 1.1) and its subcategory, L $C_{2}$ determined by Hausdorff objects of L $C_{1}$. It is shown that L $C_{1}$ contains the category LC of locally convex spaces and continuous linear maps as a coreflective subcategory and that L $C_{2}$ contains the category Nor $m_{1}$ of normed linear spaces and linear contractions as a coreflective subcategory. Thus L $C_{1}$ is a suitable category for the study of locally convex spaces. In L $C_{2}$, we introduce $l_{\infty}$(I. $E_{i}$ ) for a family ( $E_{i}$ )$_{i.mem.I}$ of objects in L $C_{2}$ and then for an ultrafilter u on I. we have a closed subspace $N_{u}$ . Using this, we construct ultraproducts in L $C_{2}$. Using the relationship between Nor $m_{1}$ and L $C_{2}$ and that between Nor $m_{1}$ and Ba $n_{1}$, we show thatour ultraproducts in Nor $m_{1}$ and Ba $n_{1}$ are exactly those in the literatures. For the terminology, we refer to [6] for the category theory and to [8] for ultraproducts in Ba $n_{1}$..

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Turnover Experience of Male Nurses (남자 간호사의 이직 경험)

  • Kim, Hyunsu;Lee, Jeongseop
    • Journal of Korean Academy of Nursing
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    • v.47 no.1
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    • pp.25-38
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    • 2017
  • Purpose: The aim of this study was to identify turnover experiences of men in nursing and to derive a substantive theory on the turnover experience of men who are nurses. Methods: Data were collected through in-depth interviews with 13 men who had worked as a nurse for 1 year or more, and had a turnover experience during that period. Collected data were analyzed on the basis of Strauss and Corbin's grounded theory. Results: The core category in the turnover experiences of the respondents was 'seeking a stable place for me'. In the analysis of the core category, types of 'contentment', 'seeking', 'survival' and 'confusion' were identified. The sequential stages of these nurses' turnover experience were 'confrontation', 'incertitude', 'retrying' and 'realization'. However, when a problem arose in the process, they returned to the stage of confusion. Thus, these stages could occur in a circular fashion. Conclusion: These findings provide a deep understanding of the turnover experience of men in nursing and offers new information about how they adapt to nursing practice. The findings should be useful as foundational data for men who hope to become nurses and also for managers responsible for nurses who are men.

ICU Patients' Experience Process of Physical Restraint (중환자실 환자의 억제대 경험과정)

  • Kim, Mi Young
    • Korean Journal of Adult Nursing
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    • v.19 no.4
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    • pp.583-592
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    • 2007
  • Purpose: The purposes of this study were to explore and describe the use of restraint on patients and to generate a grounded theory of how the use of restraint affects patients who have been restrained. Methods: Interview data from seven patients with physical restraint was analyzed using the Strauss and Corbin's grounded theory method. Data were collected and analyzed simultaneously. Unstructured and in-depth interviews were conducted retrospectively with patients recalling their memories of ICU following their transfer to general unit. Results: 'Safety belt' was emerged as a core category and it reflected that physical restraint provided a sense of security to patients. On the basis of core category, a model of the experience process of restrained patients in ICU was developed. The experience process were categorized into four stages: resistance, fear, resignation, and agreement. Stages of these proceeds appeared to have been influenced by the nurses' attitude and caring behavior such as the frequency of nurse-patient interaction, repetition of explanation, and empathetic understanding. Conclusion: These findings indicate that patients have mixed feelings towards restraint use, although negative feelings were stronger than positive ones. The result of this study will help nurses make effective nursing intervention.

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Non-ethic Behavior and the Process of Adaptation of Used Market Site: An Approach Based on Grounded Theory (아나바다 사이트 참여자의 비윤리적 행동과 반응양식 : 근거이론적 접근)

  • Nam, Su-Jung;Yoo, Hyun-Jung
    • Journal of the Korean Home Economics Association
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    • v.44 no.12
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    • pp.189-201
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    • 2006
  • The purpose of this study was to explore consumers' experiences in one used market site. For this purpose, in-depth interviews were conducted for the 8 consumers who were members of the used market site. In the study methodology, the grounded theory designed by Strauss and Corbin was utilized. From the analysis results, 23 subcategories and 11 categories were created. In the axial coding, the following paradigm model was proposed: 1) the casual conditions were "the pond of information" and "underground market," 2) the contextual conditions were "inconsistent behavior" and "error of communication", 3) the central phenomenon was "non-ethic behavior of seller/buyer, 4) the intervening conditions were "induction of intimacy", "use of patronage", and "creation of network", 5) the action/interaction strategy was "being shrewd", and 6) the consequence was "adaptation/non-adaptation". In selective coding, the core category was "to adapt of non-ethic behaviors through being shrewd." Based on the core category, the following four types of process of adaptation of the used market site were found: "A selfish addict," "An advanced utilitarian", "A hard philosopher," and "A cynical dropout".

Category-based Feature Inference in Causal Chain (인과적 사슬구조에서의 범주기반 속성추론)

  • Choi, InBeom;Li, Hyung-Chul O.;Kim, ShinWoo
    • Science of Emotion and Sensibility
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    • v.24 no.1
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    • pp.59-72
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    • 2021
  • Concepts and categories offer the basis for inference pertaining to unobserved features. Prior research on category-based induction that used blank properties has suggested that similarity between categories and features explains feature inference (Rips, 1975; Osherson et al., 1990). However, it was shown by later research that prior knowledge had a large influence on category-based inference and cases were reported where similarity effects completely disappeared. Thus, this study tested category-based feature inference when features are connected in a causal chain and proposed a feature inference model that predicts participants' inference ratings. Each participant learned a category with four features connected in a causal chain and then performed feature inference tasks for an unobserved feature in various exemplars of the category. The results revealed nonindependence, that is, the features not only linked directly to the target feature but also to those screened-off by other feature nodes and affected feature inference (a violation of the causal Markov condition). Feature inference model of causal model theory (Sloman, 2005) explained nonindependence by predicting the effects of directly linked features and indirectly related features. Indirect features equally affected participants' inference regardless of causal distance, and the model predicted smaller effects regarding causally distant features.

Enhancing the Narrow-down Approach to Large-scale Hierarchical Text Classification with Category Path Information

  • Oh, Heung-Seon;Jung, Yuchul
    • Journal of Information Science Theory and Practice
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    • v.5 no.3
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    • pp.31-47
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    • 2017
  • The narrow-down approach, separately composed of search and classification stages, is an effective way of dealing with large-scale hierarchical text classification. Recent approaches introduce methods of incorporating global, local, and path information extracted from web taxonomies in the classification stage. Meanwhile, in the case of utilizing path information, there have been few efforts to address existing limitations and develop more sophisticated methods. In this paper, we propose an expansion method to effectively exploit category path information based on the observation that the existing method is exposed to a term mismatch problem and low discrimination power due to insufficient path information. The key idea of our method is to utilize relevant information not presented on category paths by adding more useful words. We evaluate the effectiveness of our method on state-of-the art narrow-down methods and report the results with in-depth analysis.

Analysis of error source in subjective evaluation results on Taekwondo Poomsae: Application of generalizability theory (태권도 품새 경기의 주관적 평가결과의 오차원 분석: 일반화가능도 이론 적용)

  • Cho, Eun Hyung
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.2
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    • pp.395-407
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    • 2016
  • This study aims to apply the G-theory for estimation of reliability of evaluation scores between raters on Taekwondo Poomsae rating categories. Selecting a number of game days and raters as multiple error sources, we analyzed the error sources caused by relative magnitude of error variances of interaction between the factors and proceeded with D-study based on the results of G-study for optimal determination of measurement condition. The results showed below. The estimated outcomes of variance component for accuracy among the Taekwondo Poomsae categories with G-theory showed that impact of error was the biggest influence factor in raters conditions and in order of interaction in subjects and between subjects, also impact of variance component estimation error on expression category was the major influence factor in interaction and in order of the between subjects and raters. Finally, the result of generalizability coefficient estimation via D-study showed that measurement condition of optimal level depend on the number of raters was 8 persons of raters on accuracy category, and stable reliability on expression category was gained when the raters were 7 persons.

Hollow modules and corank relative to a torsion theory

  • Park, Young-Soo;Rim, Seog-Hoon
    • Journal of the Korean Mathematical Society
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    • v.31 no.3
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    • pp.439-456
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    • 1994
  • Let $\tau$ be a given hereditary torsion theory for left R-module category R-Mod. The class of all $\tau$-torsion left R-modules, denoted by T is closed under homomorphic images, submodules, direct sums and extensions. And the class of all $\tau$-torsionfree left R-modules, denoted by $F$, is closed under submodules, injective hulls, direct products, and isomorphic copies ([3], Proposition 1.7 and 1.10).

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SOME REMARKS ON CATEGORIES OF MODULES MODULO MORPHISMS WITH ESSENTIAL KERNEL OR SUPERFLUOUS IMAGE

  • Alahmadi, Adel;Facchini, Alberto
    • Journal of the Korean Mathematical Society
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    • v.50 no.3
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    • pp.557-578
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    • 2013
  • For an ideal $\mathcal{I}$ of a preadditive category $\mathcal{A}$, we study when the canonical functor $\mathcal{C}:\mathcal{A}{\rightarrow}\mathcal{A}/\mathcal{I}$ is local. We prove that there exists a largest full subcategory $\mathcal{C}$ of $\mathcal{A}$, for which the canonical functor $\mathcal{C}:\mathcal{C}{\rightarrow}\mathcal{C}/\mathcal{I}$ is local. Under this condition, the functor $\mathcal{C}$, turns out to be a weak equivalence between $\mathcal{C}$, and $\mathcal{C}/\mathcal{I}$. If $\mathcal{A}$ is additive (with splitting idempotents), then $\mathcal{C}$ is additive (with splitting idempotents). The category $\mathcal{C}$ is ample in several cases, such as the case when $\mathcal{A}$=Mod-R and $\mathcal{I}$ is the ideal ${\Delta}$ of all morphisms with essential kernel. In this case, the category $\mathcal{C}$ contains, for instance, the full subcategory $\mathcal{F}$ of Mod-R whose objects are all the continuous modules. The advantage in passing from the category $\mathcal{F}$ to the category $\mathcal{F}/\mathcal{I}$ lies in the fact that, although the two categories $\mathcal{F}$ and $\mathcal{F}/\mathcal{I}$ are weakly equivalent, every endomorphism has a kernel and a cokernel in $\mathcal{F}/{\Delta}$, which is not true in $\mathcal{F}$. In the final section, we extend our theory from the case of one ideal$\mathcal{I}$ to the case of $n$ ideals $\mathcal{I}_$, ${\ldots}$, $\mathca{l}_n$.