• Title/Summary/Keyword: Logarithmic

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등방성 이종재료 내의 V-노치 균열에 대한 대수 응력특이성에 관한 연구 (A Study on Logarithmic Stress Singularities for V-notched Cracks in Isotropic Dissimilar Materials)

  • 김우진;김진광;조상봉
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 추계학술대회 논문집
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    • pp.747-750
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    • 1997
  • Using complex potentials and the concept of repeated roots for general solutions, logarithmic stress singularities and coefficient vectors for v-notched cracks in isotropic dissimilar materials are evaluated and demonstrated to have no influence on the logarithmic stress singularities.

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AN EXACT LOGARITHMIC-EXPONENTIAL MULTIPLIER PENALTY FUNCTION

  • Lian, Shu-jun
    • Journal of applied mathematics & informatics
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    • 제28권5_6호
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    • pp.1477-1487
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    • 2010
  • In this paper, we give a solving approach based on a logarithmic-exponential multiplier penalty function for the constrained minimization problem. It is proved exact in the sense that the local optimizers of a nonlinear problem are precisely the local optimizers of the logarithmic-exponential multiplier penalty problem.

Construction of Logarithmic Spiral-like Curve Using G2 Quadratic Spline with Self Similarity

  • Lee, Ryeong;Ahn, Young Joon
    • 통합자연과학논문집
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    • 제7권2호
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    • pp.124-129
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    • 2014
  • In this paper, we construct an logarithmic spiral-like curve using curvature-continuous quadratic spline and quadratic rational spline. The quadratic (rational) spline has self-similarity. We present some properties of the quadratic spline. Also using this $G^2$ quadratic spline, an approximation of logarithmic spiral is proposed and error analysis is obtained.

GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF A PLATE EQUATION WITH A CONSTANT DELAY TERM AND LOGARITHMIC NONLINEARITIES

  • Remil, Melouka
    • 대한수학회논문집
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    • 제35권1호
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    • pp.321-338
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    • 2020
  • In this paper, we investigate the viscoelastic plate equation with a constant delay term and logarithmic nonlinearities. Under some conditions, we will prove the global existence. Furthermore, we use weighted spaces to establish a general decay rate of solution.

Finite element analysis of 2D turbulent flows using the logarithmic form of the κ-ε model

  • Hasebe, Hiroshi;Nomura, Takashi
    • Wind and Structures
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    • 제12권1호
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    • pp.21-47
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    • 2009
  • The logarithmic form for turbulent flow analysis guarantees the positivity of the turbulence variables as ${\kappa}$ and ${\varepsilon}$ of the ${\kappa}-{\varepsilon}$ model by using the natural logarithm of these variables. In the present study, the logarithmic form is incorporated into the finite element solution procedure for the unsteady turbulent flow analysis. A backward facing step flow using the standard ${\kappa}-{\varepsilon}$ model and a flow around a 2D square cylinder using the modified ${\kappa}-{\varepsilon}$ model (the Kato-Launder model) are simulated. These results show that the logarithmic form effectively keeps adequate balance of turbulence variables and makes the analysis stable during transient or unsteady processes.

곡류의 감마선 조사 검지를 위한 DEFT/APC 방법의 이용 (Detection of Gamma-Irradiated Grains by Using DEFT/APC Method)

  • 오경남;이숙영;양재승
    • 한국식품과학회지
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    • 제34권3호
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    • pp.380-384
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    • 2002
  • For the screening of gamma-irradiated grains, domestic rice, glutinous rice, barley, and wheat were irradiated with 0.1, 0.3, 0.5, 0.7, and 1.0 kGy and screened using the DEFT/APC (Direct Epifluorescent Filter Technique/Aerobic Plate Count) method. The log DEFT/APT units increased with the dose increment in all samples, whereas the log APC unit decreased gradually. For rice, barley, and wheat, unirradiated and irradiated samples with below 0.3 kGy had 2.0 or lower logarithmic units, whereas those with 0.5 kGy or higher had 2.0 or higher logarithmic units. For glutinous rice, the sample irradiated with 0.5 kGy showed 1.92 logarithmic unit and those with 0.7 kGy or higher had 2.0 or higher logarithmic units. These results suggest that if the grains show 2.0 or higher logarithmic units, they could be assumed to have been irradiated at a dose level of at least 0.5 kGy. In conclusion, grains could be easily screened through the DEFT/APC method.

로그 목적함수의 유사 헤시안을 이용한 라플라스 영역 파형 역산과 레벤버그-마쿼트 알고리듬 (Laplace-domain Waveform Inversion using the Pseudo-Hessian of the Logarithmic Objective Function and the Levenberg-Marquardt Algorithm)

  • 하완수
    • 지구물리와물리탐사
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    • 제22권4호
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    • pp.195-201
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    • 2019
  • 파형 역산에 사용하는 로그 목적함수는 관측 자료와 모델링 자료의 로그값의 차이를 최소화하는 목적함수이다. 라플라스 영역 파형 역산에서는 주로 로그 목적함수와 유사 헤시안의 대각 성분을 이용하여 최적화를 수행한다. 이 때 유사 헤시안의 대각 성분이 0 또는 0에 가까운 값이 되는 것을 막기 위해 레벤버그-마쿼트 알고리듬을 적용한다. 본 연구에서는 로그 목적함수의 유사 헤시안의 대각 성분을 분석하여 음향파 라플라스 영역 파형 역산에서는 유사 헤시안의 대각 성분이 0 또는 0에 가까운 값을 가지지 않음을 보였다. 따라서 로그 목적함수의 유사 헤시안을 이용한 경사 방향 정규화시 레벤버그-마쿼트 알고리듬을 적용할 필요가 없다. 수치 예제에서 인공합성 자료와 현장 자료를 이용해 레벤버그-마쿼트 기법 없이도 역산 결과를 얻을 수 있음을 보였다.

Effect of growth phase of cyanobacterium on release of intracellular geosmin from cells during microfiltration process

  • Matsushita, Taku;Nakamura, Keisuke;Matsui, Yoshihiko;Shirasaki, Nobutaka
    • Membrane and Water Treatment
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    • 제6권3호
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    • pp.225-235
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    • 2015
  • During low-pressure membrane treatments of cyanobacterial cells, including microfiltration (MF) and ultrafiltration (UF), there have reportedly been releases of intracellular compounds including cyanotoxins and compounds with an earthy-musty odor into the water, probably owing to cyanobacterial cell breakage retained on the membrane. However, to our knowledge, no information was reported regarding the effect of growth phase of cyanobacterial cells on the release of the intracellular compounds. In the present study, we used a geosmin-producing cyanobacterium, Anabaena smithii, to investigate the effect of the growth phase of the cyanobacterium on the release of intracellular geosmin during laboratory-scale MF experiments with the cells in either the logarithmic growth or stationary phase. Separate detection of damaged and intact cells revealed that the extent of cell breakage on the MF membrane was almost the same for logarithmic growth and stationary phase cells. However, whereas the geosmin concentration in the MF permeate increased after 3 h of filtration with cells in the logarithmic growth phase, it did not increase during filtration with cells in the stationary phase: the trend in the geosmin concentration in the MF permeate with time was much different between the logarithmic growth and stationary phases. Adsorption of geosmin to algogenic organic matter (AOM) retained on the MF membrane and/or pore blocking with the AOM were greater when the cells were in the stationary phase versus the logarithmic growth phase, the result being a decrease in the apparent release of intracellular geosmin from the stationary phase cells. In actual drinking water treatment plants employing membrane processes, more attention should be paid to the cyanobacterial cells in logarithmic growth phase than in stationary phase from a viewpoint of preventing the leakage of intracellular earthy-musty odor compounds to finished water.

연고제(軟膏劑)의 경도(硬度)에 관(關)한 연구(硏究) 1. 약전수재연고제(藥典收載軟膏劑)의 외견상(外見上)의 대수경도(對數硬度) (The Study Concerned with the Hardness of Ointment 1. The Apparent Logarithmic Hardness of Ointment Registered on the Pharmacopeia of Korea)

  • 김종갑
    • Journal of Pharmaceutical Investigation
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    • 제1권1호
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    • pp.70-77
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    • 1971
  • The ointment, had discovered and used from the ancient, have not ever defined to qualitity as the hardness concerned with the absorned With the absorption of the effect of durg through the skin. Auther, for the first time, suggest the apparent logarithmic hardness against the penetration of ointment registered on the pharmacopeia of the Republic of Korea, the results are as the followings. 1. The speciality of this apparent logarithmic hardness ie in proportion for the solidity on the contrary to the penetration of oiniment, and the distribution range of it are between 1.68 to 3.53 for their ointments examined. 2. The specific gravity of the verious ointments according to the apparent logarithmic hardness may be ignore on the calculaiotn, the mean valve of the samples was 2.9303. 3. The determination of apparent logarithmic hardness(H) by the penetration method follows the under equation. $H=log_{10}({\frac{P-0.545h^3}{0.855h^2}})$ where, the h is the penetrate length described centimeter, and p is the weight of the cone.

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학교수학 관점에서 살펴본 로그의 역사적 배경과 교수-학습 방법에 대한 고찰 (The Analysis of the Way of Teaching and Learning Logarithms with a Historical Background in High School Mathematics)

  • 조정수
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제25권3호
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    • pp.557-575
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    • 2011
  • 본 연구는 고등학교 수학에서 지도되고 있는 로그의 교수-학습 방법에 대한 새로운 관점과 방법을 고찰해보고 이를 통해 학교수학의 로그 지도에 대한 시사점을 제시하는데 목적이 있다. 이를 위하여 로그의 역사적 배경을 John Napier, 17세기 과학에 대한 로그의 영향, 그리고 로그계산자와 로그계산 방법을 중심으로 살펴보았다. 이런 배경과 함께 로그의 교수-학습 방법에 대한 고찰에서는 함수 개념을 이용한 로그의 도입, 상용로그를 이용한 로그계산, 밑의 변환 공식에 대해서 고찰하였다. 이런 역사적, 교수방법적 고찰을 통하여 학교수학에서 로그 지도에 대한 여섯 가지 시사점을 제시하였다.