• Title/Summary/Keyword: Extension Property

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STABILITY IN VARIATION FOR NONLINEAR VOLTERRA DIFFERENCE SYSTEMS

  • Choi, Sung-Kyu;Koo, Nam-Jip
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.101-111
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    • 2001
  • We investigate the property of h-stability, which is an important extension of the notions of exponential stability and uniform Lipschitz stability in variation for nonlinear Volterra difference systems.

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Relationship between rice grain quality traits and starch pasting properties using early maturing rice cultivars in Chungnam plain area

  • Yun, Yeo-Tae;Chung, Chong-Tae;Lee, Jae-Chul;Lee, Young-Ju;Na, Han-Jung;Lee, Kwang-Won;Yoon, Young-Hwan
    • Korean Journal of Agricultural Science
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    • v.42 no.3
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    • pp.151-158
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    • 2015
  • This study was conducted to know the variation and relationship of rice grain quality and starch pasting properties by transplanting times. Two early maturing rice cultivars which accounted for the most area of early maturing rice cultivar in Chungnam province were used. The experiment was laid out in a split-plot design with 3 replications. The main plot consisted of three transplanting times viz. early (April 25), ordinary (May 25) and late (June 25) with sub-plots containing two cultivars. According to the transplanting times, most of rice grain quality and starch pasting properties showed significant difference and Joami showed higher grain quality than Unkwang in all transplanting times. Especially, rice grain quality was improved when transplanted late, showing high head rice and glossiness of cooked rice due to the lower mean temperature during grain filling stage. Glossiness of cooked rice was positively correlated with head rice ratio, amylose content and setback value, and negatively correlated with chalky rice ratio and protein content. The highest positive and negative correlation were observed between breakdown value and peak viscosity ($r=0.98^{**}$), and breakdown and setback ($r=-0.94^{**}$), respectively. These results provide some information for rice researchers and producers producing cultivars with an improved quality, suggesting that rice quality is highly influenced by temperature at grain filling stage, and transplanting times is crucial in improving rice quality. In addition, starch pasting properties are useful for determining rice quality because rice grain quality and starch pasting properties are dependent on each other.

UPPER TRIANGULAR OPERATORS WITH SVEP

  • Duggal, Bhagwati Prashad
    • Journal of the Korean Mathematical Society
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    • v.47 no.2
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    • pp.235-246
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    • 2010
  • A Banach space operator A $\in$ B(X) is polaroid if the isolated points of the spectrum of A are poles of the resolvent of A; A is hereditarily polaroid, A $\in$ ($\mathcal{H}\mathcal{P}$), if every part of A is polaroid. Let $X^n\;=\;\oplus^n_{t=i}X_i$, where $X_i$ are Banach spaces, and let A denote the class of upper triangular operators A = $(A_{ij})_{1{\leq}i,j{\leq}n$, $A_{ij}\;{\in}\;B(X_j,X_i)$ and $A_{ij}$ = 0 for i > j. We prove that operators A $\in$ A such that $A_{ii}$ for all $1{\leq}i{\leq}n$, and $A^*$ have the single-valued extension property have spectral properties remarkably close to those of Jordan operators of order n and n-normal operators. Operators A $\in$ A such that $A_{ii}$ $\in$ ($\mathcal{H}\mathcal{P}$) for all $1{\leq}i{\leq}n$ are polaroid and have SVEP; hence they satisfy Weyl's theorem. Furthermore, A+R satisfies Browder's theorem for all upper triangular operators R, such that $\oplus^n_{i=1}R_{ii}$ is a Riesz operator, which commutes with A.

A Comparative Study of Twist Property in KSS Curves of Embedding Degree 16 and 18 from the Implementation Perspective

  • Khandaker, Md. Al-Amin;Park, Taehwan;Nogami, Yasuyuki;Kim, Howon
    • Journal of information and communication convergence engineering
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    • v.15 no.2
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    • pp.97-103
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    • 2017
  • Implementation of faster pairing calculation is the basis of efficient pairing-based cryptographic protocol implementation. Generally, pairing is a costly operation carried out over the extension field of degree $k{\geq}12$. But the twist property of the pairing friendly curve allows us to calculate pairing over the sub-field twisted curve, where the extension degree becomes k/d and twist degree d = 2, 3, 4, 6. The calculation cost is reduced substantially by twisting but it makes the discrete logarithm problem easier if the curve parameters are not carefully chosen. Therefore, this paper considers the most recent parameters setting presented by Barbulescu and Duquesne [1] for pairing-based cryptography; that are secure enough for 128-bit security level; to explicitly show the quartic twist (d = 4) and sextic twist (d = 6) mapping between the isomorphic rational point groups for KSS (Kachisa-Schaefer-Scott) curve of embedding degree k = 16 and k = 18, receptively. This paper also evaluates the performance enhancement of the obtained twisted mapping by comparing the elliptic curve scalar multiplications.

Design of a SMC-type FLC and Its Equivalence

  • 최병재;곽성우;김병국
    • Journal of the Korean Institute of Intelligent Systems
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    • v.7 no.5
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    • pp.14-20
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    • 1997
  • This paper proposes a new design method for the SMC-type FLC and shows that a SMC-type LFC is an extension of the SMC with BL. The conventional SMC-type FLC uses error and change-of-error as inputs of the FLC and generates the absolute value of a switching magnitude. Then, the fuzzy rule table is constructed on a two-dimensional space of the phase plane and has commonly the skew symmetric property. In this paper, we introduce a new variable, signed distance, from the skew symmetric property of the rule table. And thd variable becomes only a fuzzy variable that is used to generate the control input of a SMC-type FLC. that is, we design a new SMC-type FLC that uses a signed distance and a control input as the variables representing the contents of the rule-antecedent and the rule-con-sequent, respectively. Then the number of total rules is reduced and the control performance is almost the same as that of the conventional SMC-type FLC. Additionally, we derive the control law of the ordinary SMC with BL from a new SMC-type FLC. Namely, we show that a FLC is an extension of the SMC with BL.

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A Study on the Constructing the Function using Extension Edge Valued Graph (모서리값 확장 그래프를 사용한 함수구성에 관한연구)

  • Park, Chun-Myoung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.4
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    • pp.863-868
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    • 2013
  • In recently years, many digital logic systems based on graph theory are analyzed and synthesized. This paper presented a method of constructing the function using edge valued extension graph which is based on graph theory. The graph is applied to a new data structure. from binary graph which is recently used in constructing the digital logic systems based on the graph theory. We discuss the mathematical background of literal and reed-muller expansion, and we discuss the edge valued extension graph which is the key of this paper. Also, we propose the algorithms which is the function derivation based on the proposed edge valued extension graph. That is the function minimization method of the n-variables m-valued functions and showed that the algorithm had the regularity with module by which the same blocks were made concerning about the schematic property of the proposed algorithm.

A Study of Patentability on the paper in Traditional Korea Medicine by using technology information search to detect all existing similar patents (선행기술 조사를 통한 한의학 논문의 특허성 연구)

  • Song, Mi-Young;Lee, Joung-Hwa;Ahn, Sang-Woo
    • Korean Journal of Oriental Medicine
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    • v.11 no.2
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    • pp.53-66
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    • 2005
  • This study is concerned with the patentability and protection of intellectual property rights in Traditional Korea Medicine Paper. The results analyzed significance of patentability by investigated for many kinds of Traditional Korea Medicine Paper. It provide extension of intellectual property rights protection and further research region of TKM field by analysing information of patentability. Recently, In the protection of intellectual property rights, the importance of traditional knowledge resource in many country is increased. It will predict the number of apply for the patent increased annually This study will be provide judging guideline and strategy of intellectual property rights protection by search to detect all existing similar patents in Patent Office (Korea, Japan, U.S.A. EPO) about Traditional Korea Medicine Paper. As a result, It can not be investigated about 33% because of paper research or theoretical study or question investigation etc. But the case of 'The Korea Association of Herbology' and 'The Korean Oriental Medical Ophthalmology & Otolaryngology & Dematology Society' have about 10% rate. If it will be constructed DB system, they will be protected by national treatment.

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Release Pattern of Urea from Metal-urea-clay Hybrid with Montmorillonite and Its Impact on Soil Property

  • Kim, Kwang-Seop;Choi, Choong-Lyeal;Lee, Dong-Hoon;Seo, Young-Jin;Park, Man
    • Korean Journal of Soil Science and Fertilizer
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    • v.44 no.4
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    • pp.545-550
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    • 2011
  • Urea intercalated into montmorillonite (MT) exhibits remarkably enhanced N use efficiency, maintaining its fast effectiveness. This study dealt with the release property of urea from metal-urea-clay hybrid with MT (MUCH) under continuous-flow conditions and the cumulative impacts of its successive application on physicochemical properties of soils. Releases of urea were completed within 4 hrs under continuous-flow condition regardless of the types and the leaching solutions. However, urea release property was significantly affected by both the form of fertilizer and the presence of electrolytes in solution. The fast release property of urea from MUCH in continuous-flow condition was not significantly affected by soil properties such as soil pH and soil texture. In addition, its successive application did not lead to any noticeable change in soil physicochemical properties, water stable aggregate rate, water holding capacity and cation exchange capacity in both sandy loam and clay loam soils. Therefore, this study strongly supported that urea intercalated into MT could be applied as fast-effective N fertilizer, in particular for additional N supply.

SEMICOMMUTATIVE PROPERTY ON NILPOTENT PRODUCTS

  • Kim, Nam Kyun;Kwak, Tai Keun;Lee, Yang
    • Journal of the Korean Mathematical Society
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    • v.51 no.6
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    • pp.1251-1267
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    • 2014
  • The semicommutative property of rings was introduced initially by Bell, and has done important roles in noncommutative ring theory. This concept was generalized to one of nil-semicommutative by Chen. We first study some basic properties of nil-semicommutative rings. We next investigate the structure of Ore extensions when upper nilradicals are ${\sigma}$-rigid ${\delta}$-ideals, examining the nil-semicommutative ring property of Ore extensions and skew power series rings, where ${\sigma}$ is a ring endomorphism and ${\delta}$ is a ${\sigma}$-derivation.

WHEN EVERY FINITELY GENERATED REGULAR IDEAL IS FINITELY PRESENTED

  • Mohamed Chhiti;Salah Eddine Mahdou
    • Communications of the Korean Mathematical Society
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    • v.39 no.2
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    • pp.363-372
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    • 2024
  • In this paper, we introduce a weak version of coherent that we call regular coherent property. A ring is called regular coherent, if every finitely generated regular ideal is finitely presented. We investigate the stability of this property under localization and homomorphic image, and its transfer to various contexts of constructions such as trivial ring extensions, pullbacks and amalgamated. Our results generate examples which enrich the current literature with new and original families of rings that satisfy this property.