• 제목/요약/키워드: weak derivative

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약미분을 이용한 영상분석 (Image analysis using the weak derivative)

  • 김태식
    • 디지털콘텐츠학회 논문지
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    • 제5권4호
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    • pp.289-294
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    • 2004
  • 영상분석을 하기 위하여 이용되는 많은 방법들은 기본적으로 잘 알려진 여러 가지 수학적인 이론에 기초해 전개 된다. 예로써 영상을 이변 함수에 대응시켜 기존의 미분 또는 편미분을 통한 경도 및 에너지 함수를 이용하거나 미분기하학적 측면에서 접평면 및 곡률을 사용하는 등과 같이 전통의 수학적 기법댐들이 적용되기도 한다. 그러나 국소적 변화를 효과적으로 분석하기 위해 사용되는 이러한 수학적 이론은 대상을 표현하는 함수가 충분히 연속적으로 변화하는 매우 부드러운 함수임을 가정하는 데에서 시작하게 된다. 그러므로 실제 자연의 형상 또는 현상을 구현하는 함수에 알려진 수학적 이론을 직접적으로 대입하므로 야기되는 여러 가지 불량문제를 종종 접하게 된다. 이러한 문제를 해결하기 위한 한 방법으로 본 논문에서는 보다 효율적으로 계산되고 광범위하게 적용될 수 있는 약미분을 정의하고 이를 해석하고자 하였다.

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GLOBAL REGULARITY OF SOLUTIONS TO QUASILINEAR CONORMAL DERIVATIVE PROBLEM WITH CONTROLLED GROWTH

  • Kim, Do-Yoon
    • 대한수학회지
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    • 제49권6호
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    • pp.1273-1299
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    • 2012
  • We prove the global regularity of weak solutions to a conormal derivative boundary value problem for quasilinear elliptic equations in divergence form on Lipschitz domains under the controlled growth conditions on the low order terms. The leading coefficients are in the class of BMO functions with small mean oscillations.

새로운 코직산 유도체의 합성과 티로시나제 저해활성 (Synthesis of Novel Kojic Acid Derivatives and Their Tyrosinase Inhibitory Activities)

  • 김지연;임세진
    • 약학회지
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    • 제43권1호
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    • pp.28-32
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    • 1999
  • Four derivatives of kojic acid were synthesized and their inhibitory activities against tyrosinase were evaluated. The C-2 hydroxymethyl and C-7 hydroxyl of kojic acid were replaced by carboxylate and amine, respectively. These derivatives were coupled to L-phenylalanine, producing two amide compounds. The carboxylate derivative (3), its amide compound (5), and the amine derivative (7) were weak inhibitors. The amide compound (9) where amine derivative (7) coupled to L-phenylalanine showed strong inhibitory activity ($IC_{50}=24.6{\;}{\mu}M$) comparable to kojic acid.

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LOCAL CONVERGENCE THEOREMS FOR NEWTON METHODS

  • Argyros, Ioannis K.
    • Journal of applied mathematics & informatics
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    • 제8권2호
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    • pp.345-360
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    • 2001
  • Affine invariant sufficient conditions are given for two local convergence theorems involving inexact Newton-like methods. The first uses conditions on the first Frechet-derivative whereas the second theorem employs hypotheses on the mth(m≥2 an integer). Radius of convergence as well as rate of convergence results are derived. Results involving superlinear convergence and known to be true for inexact Newton methods are extended here. Moreover, we show that under hypotheses on the mth Frechet-derivative our radius of convergence can sometimes be larger than the corresponding one in [10]. This allows a wider choice for the initial guess. A numerical example is also provided to show that our radius of convergence is larger than the one in [10].

AFFINE INVARIANT LOCAL CONVERGENCE THEOREMS FOR INEXACT NEWTON-LIKE METHODS

  • Argyros, Ioannis K.
    • Journal of applied mathematics & informatics
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    • 제6권2호
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    • pp.393-406
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    • 1999
  • Affine invariant sufficient conditions are given for two local convergence theorems involving inexact Newton-like methods. The first uses conditions on the first Frechet-derivative whereas the second theorem employs hypotheses on the second. Radius of con-vergence as well as rate of convergence results are derived. Results involving superlinear convergence and known to be true for inexact Newton methods are extended here. Moreover we show that under hypotheses on the second Frechet-derivation our radius of convergence results are derived. Results involving superlinear convergence and known to be true or inexact Newton methods are extended here. Moreover we show that under hypotheses on the second Frechet-derivative our radius of conver-gence is larger than the corresponding one in [10]. This allows a wider choice for the initial guess. A numerical example is also pro-vided to show that our radius of convergence is larger then the one in [10].

ON A LOCAL CHARACTERIZATION OF SOME NEWTON-LIKE METHODS OF R-ORDER AT LEAST THREE UNDER WEAK CONDITIONS IN BANACH SPACES

  • Argyros, Ioannis K.;George, Santhosh
    • 충청수학회지
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    • 제28권4호
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    • pp.513-523
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    • 2015
  • We present a local convergence analysis of some Newton-like methods of R-order at least three in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first and second $Fr{\acute{e}}chet$-derivative of the operator involved. These conditions are weaker that the corresponding ones given by Hernandez, Romero [10] and others [1], [4]-[9] requiring hypotheses up to the third $Fr{\acute{e}}chet$ derivative. Numerical examples are also provided in this study.

폴리사카라이드계 증점제를 혼합한 고유동 콘크리트의 물성 (Properties of Self Compacting Concrete Using Viscosity Agent Based on Polysaccharide Derivative)

  • 최재진;유정훈;신도철;나종율
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2005년도 봄학술 발표회 논문집(II)
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    • pp.45-48
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    • 2005
  • Self compacting concrete has the strong point in capability of concrete to be uniformly filled and compacted in every corners of formwork by its self-weight without vibration during placing. However, powder type self compacting concrete has the weak point in the heat of hydration, the drying shrinkage and the elastic property of concrete etc. Recently viscosity agent has been developed in order to overcome these weaknesses. In this study, self compacting concrete is made with viscosity agent based on polysaccharide derivative in order to develope the normal strength self compacting concrete. Slump flow, loss of slump flow and setting time are measured for comparison with normal concrete. Compressive strength, freezing and thawing test and carbonation test are conducted on normal and self compacting concrete using viscosity agent. In the experiment, we acquired good results in fresh and hardened self compacting concrete using viscosity agent based on polysaccharide derivative.

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주가 변동성과 파생상품거래 (Stock Volatility and Derivative Trading)

  • 장대홍
    • 재무관리연구
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    • 제26권4호
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    • pp.63-81
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    • 2009
  • 논문은 주식가격의 변동성과 거시경제변수 및 파생상품거래와의 관계를 실증적으로 분석한다. 이전 연구들에서 밝혀진 바와 같이 주식수익률의 변동성은 거시 경제변수의 변동성에 비해 훨씬 크게 나타날 뿐 아니라, 변수의 설명력도 약해서 거시경제변수-주식가격 변동성의 이론적 관계를 확인하기에 충분하지 않다. 1980년 이후의 한국 데이터를 사용한 분석의 결과도 이런 결과를 확인해 준다. 그러나 이들 결과는 금융활동 변수들이 누락되었기 때문일 수 있다. 이 논문은 특히 파생상품 거래의 변동성이 주식수익률 변동성을 상당 부분 설명할 수 있을 뿐 아니라, 거시경제 변수의 설명력도 복원시킬 수 있음을 확인해준다.

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