• Title/Summary/Keyword: First-principle

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Interface between Morphology and Syntax: A Constraint-Based and Lexicalist Approach

  • Kim, Jong-Bok
    • Language and Information
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    • v.2 no.1
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    • pp.177-213
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    • 1998
  • conflicting criterial used in identifying words have called the lexical integrity principle into question. That is, cases where the morphological word does not coincide with the syntactic word have notivated the syntactic view of word derivation, as pointed out by Bresnan and Mchombo(1995). Further, the implicit desire to make the clausal structure of Korean parallel to those posited for English(Chomsky 1991) and French(Pollock 1989) has also led most of the current literature on Korean morphology to claim that Korean verbal inflections head their own functional projections such as AgrP, TP, and MP im syntax. In this paper, I will first argue against such a syntactic view. After reviewing some basic properties of Korean verbal inflections, I will show that the evidence from mismatch phenomena supports the lexical integrity principle over the head-movement theories of word derivation. Then, I will propose a theory of lexical grammar which maintains the lexical integrity principle while retaining the effects of functional projections and syntactic movement.

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An Analysis on the Characteristic and Origin of the Exhaustion Method (실진법의 특성과 기원에 대한 분석)

  • Park, Sun-Yong
    • Journal for History of Mathematics
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    • v.32 no.1
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    • pp.27-44
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    • 2019
  • This study analyses and discusses on the characteristic and the origin of the exhaustion method caused by the controversy over whether that method succeeded to the Antiphone's complete exhaustion idea and whether that method is similar to the method of limits. First, this study analyses 'principle of exhaustion method' which play an important role in that method in order to grasp the local characteristic of it. And this study speculates the origin of the exhaustion method by considering the time and situation of appearance and looking through the local characteristic of it. Also, this study takes a view of the overall characteristic of the exhaustion method by inquiring into the process of actual application of 'principle of exhaustion method' in a proof. As these results, this study reveals that the exhaustion method uprose not as a succession of Antiphone's idea but as a reaction to its idea, and that the exhaustion method has the recognized character of 'finitude' as distinct from the method of limits.

SYMMETRY AND MONOTONICITY OF SOLUTIONS TO FRACTIONAL ELLIPTIC AND PARABOLIC EQUATIONS

  • Zeng, Fanqi
    • Journal of the Korean Mathematical Society
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    • v.58 no.4
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    • pp.1001-1017
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    • 2021
  • In this paper, we first apply parabolic inequalities and a maximum principle to give a new proof for symmetry and monotonicity of solutions to fractional elliptic equations with gradient term by the method of moving planes. Under the condition of suitable initial value, by maximum principles for the fractional parabolic equations, we obtain symmetry and monotonicity of positive solutions for each finite time to nonlinear fractional parabolic equations in a bounded domain and the whole space. More generally, if bounded domain is a ball, then we show that the solution is radially symmetric and monotone decreasing about the origin for each finite time. We firmly believe that parabolic inequalities and a maximum principle introduced here can be conveniently applied to study a variety of nonlocal elliptic and parabolic problems with more general operators and more general nonlinearities.

A Study on the Dwelling Principle of Indian Community and Space of Housing in North America - Focused on Powhatan Indian Community in U. S. A. - (북미 인디안 커뮤니티의 구성원리와 주거공간에 관한 연구 - 미국동부 포우하탄 인디언 커뮤니티를 중심으로 -)

  • Chong, Geon Chai
    • Journal of the Korean Institute of Rural Architecture
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    • v.14 no.4
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    • pp.11-18
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    • 2012
  • This study is to establish the dwelling principle and architectural characteristics of Powhatan Indian Community in Eastern part of North America. To find a pattern and dwelling principle of town building and housing, I have researched both site survey of Powhatan at Jamestown Settlement in Virginia and a related references of North America Indian. In addition of study, I have tried to understand their life style in 17C, a spatial characteristics of space composition, and a using materials of Yehakin which means Powhatan's house in the exhibition hall of Jamestown Settlement. The results of this paper are as follows: First, the form of Powhatan house is like a longhouse which has two types that are oblong and rectangular house. Usually they had lived in the style of oblong house. Second, there are three patterns to set up the semi-permanent settlement of Powhatan, which are circle-type, street-type, and free-type of village. Third, the fire place of interior space that is most importance element to heat and cook is put it into the center of room, and the other beds and shelves are arranged by the side of wall which is covered of rush matt.