• Honam Mathematical Journal
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• v.26 no.4
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• pp.483-507
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• 2004

In this paper the left regular representation and the reduced $C^*$-algebra for a commutative separative semigroup is defined. The universal representation, the reduced $C^*$-algebra and the full $C^*$-algebra for the additive semigroup $N^+$ are given. Also it is proved that $C*_r(N^+){\ncong}C^*(N^+)$.

• East Asian mathematical journal
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• v.26 no.5
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• pp.649-654
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• 2010

A positive definite Hermitian lattice is said to be 2-universal if it represents all positive definite binary Hermitian lattices. We find some finiteness theorems which ensure 2-universality of Hermitian lattices over several imaginary quadratic number fields.

• Korean Journal of Construction Engineering and Management
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• v.16 no.5
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• pp.3-11
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• 2015

This paper aims to review and discuss a graph-based approach for the representation and analysis of building circulation using BIM models. To propose this approach, the authors survey diverse researches and developments which are related to building circulation issues such as circulation requirements in Korea Building Act, spatial network analysis, as well as BIM applications. As the basis of this paper, UCN (Universal Circulation Network) is the main reference of the research, and the major goal of this paper is to extend the coverage of UCN with additional features we examined in the survey. In this paper we restructured two major perspectives on top of UCN: 1) finding major factors of graph-based circulation analysis based on UCN and 2) restructuring the UCN approach and others for adjusting to Korean Building Act. As a result of the further studies in this paper, two major additions have demonstrated in the article: 1) the most remote point-based circulation representation, and 2) virtual space-based circulation analysis.

• Korean Journal of English Language and Linguistics
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• v.2 no.3
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• pp.403-430
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• 2002

With a view to providing a unitary interpretation of a lexical item, even, this paper proposes that even be understood as a quantifier. To countenance this idea, the quantifier theories will be evaluated against the implicature accounts on the basis of conceptual and empirical evidence. With the help of Bach (1999), the quantifier theories of even are regarded as most viable and plausible. On the other hand, from among different quantifier approaches even will be viewed as a quasi-universal quantifier, which means that even is similar to the universal quantifier but still it is different from it. That is, even introduces a comparison set that is context-dependent and only the salient members of this comparison set will be taken into account when an even-sentence is to be uttered. This observation is based on the formal representation for a universal quantifier in general on the one hand and the truth-conditional contribution of even to the sentence containing it.

• Annual Conference on Human and Language Technology
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• 2019.10a
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• pp.353-356
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• 2019

본 논문은 Universal conceptual cognitive annotation(보편 개념 인지 주석, 이하 UCCA)를 한국어에 적용하는 방안에 대해 제시하였다. 우선 기존의 한국어 의미 분석 체계들의 장단점을 살펴본 뒤, UCCA가 가지고 있는 상대적인 장점들을 소개하였다. UCCA는 모든 언어에 대하여 일관적인 기술을 하려는 Meaning representation framework의 하나로, 보편언어적인 의미 분석 체계를 가지고 있다. 본고는 주석 단위와 문법적 요소의 관점에서 한국어의 특성을 반영하여 UCCA를 한국어에 적용하는 방안을 검토하였다.

• Proceedings of the Korean Society for Language and Information Conference
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• 2001.06a
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• pp.237-257
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• 2001

This paper investigates the idiosyncratic understanding of universal quantifiers such as every, each or all by young children at the ages of 4 to 7, and argues that the phenomenon is explicable in terms of the maturation of both the cognitive system and the linguistic system. Evidence for this dual explanation comes from the fact that the visual input, a picture, plays a key role in determining the children’s conceptual representation, suggesting the need for the central integration of visual and linguistic elements; and from the fact that a quantifier in the linguistic input has an intrinsic property, i.e. a <+focus> feature. I have tried to explain the nature of the cognitive factors in terms of the function of the central system, suggesting a modified form of Smith & Tsimpli’s (1995) version of Fodor’s (1983) modularity hypothesis. Conceptual representations of two kinds are in competition with each other and they are integrated into a neutral LOT (Language of Thought) representation at some point . In the process of this integration, the representations from the visual input predominate over those from the auditory input, though the quantize. (treated as new information provided by the latter) is salient in the final representations. When visual conceptual representations predominate over purely linguistic ones, quantifier spreading errors occur. By contrast, when the relevant grammatical knowledge has developed sufficiently to counteract the conceptual representations, this peculiar behaviour by children should disappear. It is argued that children have to learn two kinds of grammatical fact with regard to universal quantification: (i) they have to learn the status of the quantifier as a functional head of DP so that it has to be positioned inside DP; and (ii) they have to learn the Left-Branch Condition which specifies that movement of an element in the left-branch position is possible only by pied-piping the entire phrase.

• International Journal of Contents
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• v.17 no.2
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• pp.9-19
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• 2021

The purpose of this survey-based study was to investigate high school students' perceptions of mathematics teachers' implementation of Universal Design for Learning (UDL)-based practices and technology in their mathematics classes in 2017. A total of 303 high school students in South Korea participated in this online survey on teachers' use of technology for instructional practices, the frequency of technology tool use, and the meeting of UDL guidelines in mathematics instruction. According to frequency analysis, high school students generally perceived their teachers' mathematics teaching as somewhat positive in providing multiple means of representation, action and expression, and engagement. However, mathematics teachers' implementation of technology tools in their mathematics classes was generally limited. This study indicated significant and positive relationships between variables regarding the use of technology tools and teachers' efforts to follow the UDL guidelines. Applying the Chi-squared test, we further examined how each survey result differed according to high school students' academic achievements and grade levels.

• Journal of Korean Elementary Science Education
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• v.30 no.4
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• pp.442-458
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• 2011

Digital textbook project is one of government-driven project to improve education due to integrating technology. Digital textbook need to be universally designed to fit for each student. Recently, universal design for learning( UDL) gains great attention as one of promising approaches for the development of the digital textbook through giving various options and flexibility to all students. UDL has three main principles, first provide multiple means of representation, second provide multiple means of action and expression, third provide multiple means of engagement. The purpose of the study is to analyze fourth grade science textbook according to three UDL guidelines and suggest implications to improve an existing science textbook. The results indicated that fourth grade science digital textbook has been partly applied UDL guidelines like implementing multimedia and multi- mode contents, learning and communication tools, and motivation strategies. But options which students can choose according to their needs and styles are insufficient and tools for expression and communication need to enhance for helping each student to overcome his/her obstacles for learning and need to be more and elaborate to support learner-centered science digital textbook.

• Language and Information
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• v.5 no.2
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• pp.39-55
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• 2001

This paper investigates the idiosyncratic understanding of universal quantifiers such as every, each or all by young children at the ages of 4 to 7, and argues that the phenomenon is explicable in terms of the maturation of both the cognitive system and the linguistic system. Evidence for this dual explanation comes from the fact that the visual input, a picture, plays a key role in determining the children's conceptual representation, suggesting the need for the central integration of visual and linguistic elements; and from the fact that a quantifier in the linguistic input has an intrinsic property, i.e. a <+focus> feature. I have tried to explain the nature of the cognitive factors in terms of the function of the central system, suggesting a modified form of Smith & Tsimpli's (1995) yersion of Fodor's (1983) modularity hypothesis. The categorial status of the quantifier in the children's interpretation is considered, focusing on the movement of that quantifier out of its own extended projection to FP. It is claimed that children initially treat quantifiers as modifiers, rather than functional heads, and that the phenomenon of quantifier spreading by children can be attributed to delay in the development of the relevant functional category, i.e., DP (or QP), in language acquisition.

• Honam Mathematical Journal
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• v.19 no.1
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• pp.21-27
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• 1997

We shall define three kinds of points for algebraic varieties associated to the center 3 of U(L) which is the universal enveloping algebra of a finite-dimensional modular Lie algebra over an algebraically closed field F of prime characteristic p. We announce here that $sp_4$(F) with p = 2 has a subregular point.