• Title/Summary/Keyword: Logarithmic function

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A study on renal function indices in lead exposed male workers (연폭로 남자 근로자들의 신기능 지표에 관한 연구)

  • Lee, Sung-Soo;HwangBo, Young;Ahn, Kyu-Dong;Lee, Byung-Kook;Kim, Joung-Soon
    • Journal of Preventive Medicine and Public Health
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    • v.28 no.2 s.50
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    • pp.421-432
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    • 1995
  • The influence of lead exposure on renal function was studied. Eighty nine lead exposed workers who worked in 2 storage battery factories, and seventy one control workers were chosen for this study. Blood lead(PbB) and zinc protoporphyrin in whole blood(ZPP) were selected as indicators of lead exposure. As indicators of renal function, urinary N-acetyl-$\beta$-D-glucosaminidase(NAG), blood urea nitrogen(BUN), serum creatinine(S-Cr), total protein in urine(U-TP),and serum uric acid(S-Ua) were selected. The results obtained were as follows: 1. While the mean values of lead exposure indicators of lead workers were significantly different from non-exposed ones, the mean values of NAG, U-TP, BUN and S-Cr of renal function indicators of exposed were also significantly different from non-exposed but their mean values were all within normal limits. 2. BUN, logarithmic U-TP, logarithmic NAG and S-Cr showed statistically significant correlation with PbB. 3. The proportion of workers whose values of renal function indicators were over the normal limits(NAG7.5 U/g Cr ; U-TP10.9 mg/dl ; BUN20 mg/dl ; S-Crl.2 mg/dl ; S-Ua7.0 mg/dl) by the level of lead absorption in terms of PbB and ZPP were calculated. The proportion of workers with over the normal limits of U-TP among total workers showed the dose-response relationship. When age is adjusted, U-TP showed significantly strong dose-response relationship with the level of PbB and ZPP.

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The Assessing Comparative Study for Statistical Process Control of Software Reliability Model Based on Logarithmic Learning Effects (대수형 학습효과에 근거한 소프트웨어 신뢰모형에 관한 통계적 공정관리 비교 연구)

  • Kim, Kyung-Soo;Kim, Hee-Cheul
    • Journal of Digital Convergence
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    • v.11 no.12
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    • pp.319-326
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    • 2013
  • There are many software reliability models that are based on the times of occurrences of errors in the debugging of software. Software error detection techniques known in advance, but influencing factors for considering the errors found automatically and learning factors, by prior experience, to find precisely the error factor setting up the testing manager are presented comparing the problem. It is shown that it is possible to do asymptotic likelihood inference for software reliability models based on infinite failure model and non-homogeneous Poisson Processes (NHPP). Statistical process control (SPC) can monitor the forecasting of software failure and thereby contribute significantly to the improvement of software reliability. Control charts are widely used for software process control in the software industry. In this paper, we proposed a control mechanism based on NHPP using mean value function of logarithmic hazard learning effects property.

A NOTE ON MODULUS METHOD AND CAPACITY

  • CHUNG Bo-HYUN
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.647-655
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    • 2006
  • We consider the applications of modulus to the boundary behavior of meromorphic functions in connection with the singularities. The proofs are based on the method of modulus. The relations between the moduli and the logarithmic capacities shall be introduced and we have shown that the conformal capacity is related to the modulus.

Polynomial-Filled Function Algorithm for Unconstrained Global Optimization Problems

  • Salmah;Ridwan Pandiya
    • Kyungpook Mathematical Journal
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    • v.64 no.1
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    • pp.95-111
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    • 2024
  • The filled function method is useful in solving unconstrained global optimization problems. However, depending on the type of function, and parameters used, there are limitations that cause difficultiies in implemenations. Exponential and logarithmic functions lead to the overflow effect, requiring iterative adjustment of the parameters. This paper proposes a polynomial-filled function that has a general form, is non-exponential, nonlogarithmic, non-parameteric, and continuously differentiable. With this newly proposed filled function, the aforementioned shortcomings of the filled function method can be overcome. To confirm the superiority of the proposed filled function algorithm, we apply it to a set of unconstrained global optimization problems. The data derived by numerical implementation shows that the proposed filled function can be used as an alternative algorithm when solving unconstrained global optimization problems.

Growth order of Meromorphic Solutions of Higher-order Linear Differential Equations

  • Xu, Junfeng;Zhang, Zhanliang
    • Kyungpook Mathematical Journal
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    • v.48 no.1
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    • pp.123-132
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    • 2008
  • In this paper, we investigate higher-order linear differential equations with entire coefficients of iterated order. We improve and extend the result of L. Z. Yang by using the estimates for the logarithmic derivative of a transcendental meromorphic function due to Gundersen and the extended Wiman-Valiron theory by Wang and Yi. We also consider the nonhomogeneous linear differential equations.

A Study on the Temperature dependent Impact ionization for GaAs using the Full Band Monte Carlo Method (풀밴드 몬데카를로 방법을 이용한 GaAs 임팩트이온화의 온도 의존성에 관한 연구)

  • 고석웅;유창관;정학기
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.4 no.3
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    • pp.697-703
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    • 2000
  • As device dimensions are lastly scaled down, impact ionization(I.I.) events are very important to analyze hot carrier transport in high energy region, and the exact model of impact ionization is demanded on device simulation. We calculate full band model by empirical pseudopotential method and the impact ionization rate is derived from modified Keldysh formula. We calculate impact ionization coefficients by full band Monte Carlo simulator to investigate temperature dependent characteristics of impact ionization for GaAs as a function of field. Resultly impact ionization coefficients are in good agreement with experimental values at look. We how energy is increasing along increasing the field, while energy is decreasing along increasing the temperature since the phonon scattering rates for emission mode are very high at high temperature. The logarithmic fitting function of impact ionization coefficients is described as a second orders function of temperature and field. The residuals of the logarithmic fitting function are mostly within 5%. We Dow, therefore, the logarithm of impact ionization coefficients has quadratic dependence on temperature, and we can save time of calculating the temperature dependent impact ionization coefncients as a function of field.

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Environmental Changes of the Rivers in Taegu Area after a Heavy Rain (대구지방 하천의 집중 강우후의 수계환경의 변화)

  • Lyu, Seung-Won;Song, Seung-Dal
    • The Korean Journal of Ecology
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    • v.6 no.2
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    • pp.81-89
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    • 1983
  • The change of environmental factors with flow rates were studied quantitatively for two rivers, the Nakdong River and the Sin stream, which have different basins in ecosystem structures, during short period after a heavy rain. In the Nakdong River, transparency, DO, alkalinity and hardness were negatively correlated with the flow rate by logarithmic function, but the concentration of SiO2 was relatively constant regardless of the flow chage. In the Sin stream, transparency, alkalinity, hardness and the concentration of NH3-N, NO2-N and SO4= showed negative correlation with the flow rate by logarithmic function. The ratios of maximum to minimum values for aquatic environmental factors during the samller than that for flow rate in the respective rivers (28 in the Nakdong R.; 50 in the Sin S.). Immediately after the heavy rain, the concentrations of NO2-N, NH3-N and PO4-P in the Sin stream were 8, 6 and 1 times as high as those in the Nakdong River, respectively, but in the stable flow state, those became 94, 25 and more than 10 times, respectively. The load for most of the dissolved environmental constituents changed similarly to the flow rate in both rivers. It is notable that, at the stable flow state, the loads for NH3-N (59g/sec) and NO2-N (3.3g/sec) in the Sin stream were 4.3 and 1.3 times as high as those in the Nakdong River.

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ON SOLVABILITY OF A CLASS OF DEGENERATE KIRCHHOFF EQUATIONS WITH LOGARITHMIC NONLINEARITY

  • Ugur Sert
    • Journal of the Korean Mathematical Society
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    • v.60 no.3
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    • pp.565-586
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    • 2023
  • We study the Dirichlet problem for the degenerate nonlocal parabolic equation ut - a(||∇u||2L2(Ω))∆u = Cb ||u||βL2(Ω) |u|q(x,t)-2 u log |u| + f in QT, where QT := Ω × (0, T), T > 0, Ω ⊂ ℝN, N ≥ 2, is a bounded domain with a sufficiently smooth boundary, q(x, t) is a measurable function in QT with values in an interval [q-, q+] ⊂ (1, ∞) and the diffusion coefficient a(·) is a continuous function defined on ℝ+. It is assumed that a(s) → 0 or a(s) → ∞ as s → 0+, therefore the equation degenerates or becomes singular as ||∇u(t)||2 → 0. For both cases, we show that under appropriate conditions on a, β, q, f the problem has a global in time strong solution which possesses the following global regularity property: ∆u ∈ L2(QT) and a(||∇u||2L2(Ω))∆u ∈ L2(QT ).

A Reconfigurable Lighting Engine for Mobile GPU Shaders

  • Ahn, Jonghun;Choi, Seongrim;Nam, Byeong-Gyu
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.15 no.1
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    • pp.145-149
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    • 2015
  • A reconfigurable lighting engine for widely used lighting models is proposed for low-power GPU shaders. Conventionally, lighting operations that involve many complex arithmetic operations were calculated by the shader programs on the GPU, which led to a significant energy overhead. In this letter, we propose a lighting engine to improve the energy-efficiency by supporting the widely used advanced lighting models in hardware. It supports the Blinn-Phong, Oren-Nayar, and Cook-Torrance models, by exploiting the logarithmic arithmetic and optimizing the trigonometric function evaluations for the energy-efficiency. Experimental results demonstrate 12.7%, 42.5%, and 35.5% reductions in terms of power-delay product from the shader program implementations for each lighting model. Moreover, our work shows 10.1% higher energy-efficiency for the Blinn-Phong model compared to the prior art.