• Title/Summary/Keyword: Decreasing function

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APPROXIMATION OF RELIABILITY IMPORTANCE FOR CONTINUUM STRUCTURE FUNCTIONS

  • Lee, SeungMin;Kim, RakJoong
    • Korean Journal of Mathematics
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    • v.5 no.1
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    • pp.55-60
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    • 1997
  • A continuum structure function(CSF) is a non-decreasing mapping from the unit hypercube to the unit interval. The reliability importance of component $i$ in a CSF at system level ${\alpha}$, $R_i({\alpha})$) say, is zero if and only if component $i$ is almost irrelevant to the system at level ${\alpha}$. A condition to check whether a component is almost irrelevant to the system is presented. It is shown that $R^{(m)}_i({\alpha}){\rightarrow}R_i({\alpha})$ uniformly as $m{\rightarrow}{\infty}$ where each $R^{(m)}_i({\alpha})$ is readily calculated.

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MONOTONICITY AND LOGARITHMIC CONVEXITY OF THREE FUNCTIONS INVOLVING EXPONENTIAL FUNCTION

  • Guo, Bai-Ni;Liu, Ai-Qi;Qi, Feng
    • The Pure and Applied Mathematics
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    • v.15 no.4
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    • pp.387-392
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    • 2008
  • In this note, an alternative proof and extensions are provided for the following conclusions in [6, Theorem 1 and Theorem 3]: The functions $\frac1{x^2}-\frac{e^{-x}}{(1-e^{-x})^2}\;and\;\frac1{t}-\frac1{e^t-1}$ are decreasing in (0, ${\infty}$) and the function $\frac{t}{e^{at}-e^{(a-1)t}}$ for a $a{\in}\mathbb{R}\;and\;t\;{\in}\;(0,\;{\infty})$ is logarithmically concave.

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CERTAIN MAXIMAL OPERATOR AND ITS WEAK TYPE $L^1$($R^n$)-ESTIMATE

  • Kim, Yong-Cheol
    • Communications of the Korean Mathematical Society
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    • v.16 no.4
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    • pp.621-626
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    • 2001
  • Let { $A_{>o}$ t= exp(M log t)} $_{t}$ be a dilation group where M is a real n$\times$n matrix whose eigenvalues has strictly positive real part, and let $\rho$be an $A_{t}$ -homogeneous distance function defined on ( $R^{n}$ ). Suppose that K is a function defined on ( $R^{n}$ ) such that /K(x)/$\leq$ (No Abstract.see full/text) for a decreasing function defined on (t) on R+ satisfying where wo(x)=│log│log (x)ll. For f$\in$ $L_{1}$ ( $R^{n}$ ), define f(x)=sup t>0 Kt*f(x)=t-v K(Al/tx) and v is the trace of M. Then we show that \ulcorner is a bounded operator of $L_{-{1}( $R^{n}$ ) into $L^1$,$\infty$( $R^{n}$).

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RELATIVE (p, q) - 𝜑 ORDER BASED SOME GROWTH ANALYSIS OF COMPOSITE p-ADIC ENTIRE FUNCTIONS

  • Biswas, Tanmay;Biswas, Chinmay
    • Korean Journal of Mathematics
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    • v.29 no.2
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    • pp.361-370
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    • 2021
  • Let 𝕂 be a complete ultrametric algebraically closed field and 𝓐 (𝕂) be the 𝕂-algebra of entire function on 𝕂. For any p-adic entire functions f ∈ 𝓐 (𝕂) and r > 0, we denote by |f|(r) the number sup {|f (x)| : |x| = r} where |·|(r) is a multiplicative norm on 𝓐 (𝕂). In this paper we study some growth properties of composite p-adic entire functions on the basis of their relative (p, q)-𝜑 order where p, q are any two positive integers and 𝜑 (r) : [0, +∞) → (0, +∞) is a non-decreasing unbounded function of r.

Temperature dependence of photoluminescence for blue and green light emitting porous Ge and spark processed Ge (청색 및 녹색 발광 다공성 Ge 및 스파크 제조된 Ge의 광발광의 온도의존성)

  • 장성식
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.8 no.3
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    • pp.442-447
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    • 1998
  • Visible photoluminescence (PL) has been observed generally in the blue and green spectral region from anodically etched porous Ge as well as spark processed Ge. Porous Ge which is prepared by anodic etching without UV light illumination displays the PL peak max of 52 nm (2.38 eV), while porous Ge with UV light illumination exhibits PL peak blue shift to a 470 nm (2.63 eV). Spark processed Ge shows a PL peak max of 520 nm with shoulder peaks at 420 nm and 610nm. The values of energy shift as a function of decreasing temperature between 300 K and 20 K is 0.53 and $1.89\;meVK^{-1}$ for anodic etched Ge without UV illumination and with UV illumination, respectively. On the contrary, no continuous blue shift of PL peak as a function of decreasing temperature is observed for the green luminescing spark processed Ge. From the results of PL as a function of temperature the origin of blue and green luminescing anodically etched Ge as well as spark processed Ge is discussed.

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An Empirical Study to Estimate Fisheries Productivity Using a Statistical Application (어업생산성 추정을 위한 통계적 응용에 관한 실증 연구)

  • 김원재
    • The Journal of Fisheries Business Administration
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    • v.23 no.2
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    • pp.91-99
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    • 1992
  • It has been one of the critical issues that the researchers properly evaluate the fishing rights foregone by the coastal development activities like wetland reclamation. Particularly, estimating the productivity of concerned fishing rights is known to play a significant role in their monetary compensation. As a result, this paper attempts to develop a statistical model characterized by Cobb-Douglas production function in conjunction with the fisheries' productivity estimation. The primary hypotheses involving their statistical production function are as below : 1. The quantity of fisheries production is hypothesized to be expressed as a function of capital (K) and labor(L) put into fishing activities. 2. The estimated parameters of K and L are hypothesized to satisfy the conventional condition of production function as a form of Cobb-Douglas. These statistical tests reveal that the shellfish farming productivity heavily depends on the acre of mariculture while the input of labor force also considerably affects its productivity. In case of the fixed net fishing productivity, both the factors of capital and labor similarly affect the marginal change in its productivity. En addition, the productivity of shellfish (arming turns out to follow the increasing returns to scale, whereas that of fixed net fishing comes up with the decreasing returns to scale.

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The Development and Effects of an Upper Extremity Exercise Program Based on Patterned Sensory Enhancement for Home-bound Stroke Patients (재가 뇌졸중 환자를 위한 패턴화된 감각향상(PSE) 상지운동 프로그램의 개발 및 효과)

  • Hong, Myung-Sun
    • Research in Community and Public Health Nursing
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    • v.22 no.2
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    • pp.192-203
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    • 2011
  • Purpose: This study was conducted to develop and assess the feasibility of an upper extremity exercise program based on Patterned Sensory Enhancement (PSE) for home-bound stroke patients by measuring the level of upper extremity function, depression, and interpersonal relationship. Methods: The experiments were performed on stroke patients at three different rehabilitation centers in Incheon City. Twenty patients participated in the experimental group or in the control group. The program was executed three times a week for 6 weeks. Data were collected from August to October, 2006. Manual Function Test was used to quantify and evaluate upper extremity function. The depression level and the effectiveness of interpersonal relationship were quantified and measured using CES-D and Relationship Change Scale, respectively. Results: The effectiveness of upper extremity function of stroke patients who participated in the PSE upper extremity exercise program was higher than that of non-participating patients. The depression level decreased and interpersonal relationship improved in the stroke patients who participated in this program compared to those who did not. Conclusion: These findings prove that the PSE upper extremity exercise program for home-bound stroke patients was an effective strategy for enhancing upper extremity function, decreasing the depression level, and improving interpersonal relationships.

The Effect of Spirulina on Lipid Metabolism, Antioxidant Gapacity and Immune Function in Korean Elderlies (스피루리나 복용이 노인의 혈중 지질 농도, 항산화능 및 면역능에 미치는 영향)

  • 김화영;박지예
    • Journal of Nutrition and Health
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    • v.36 no.3
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    • pp.287-297
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    • 2003
  • This intervention study was performed to assess the effect of spirulina on lipid metabolism, antioxidant capacity, and immune function in elderly Koreans. The subjects were 6 male and 6 female people between the ages of 60 and 75, who were given spirulina supplements of 7.5 g/day for 24 weeks. Dietary intake, anthropometric measurements and biochemical assessment for plasma lipid levels, antioxidant status and immune function were measured before and throughout the intervention period. Before entering the study, the subjects were in relatively good health. Their nutrient intake was satisfactory, and anthropometric indices and plasma nutrient levels were within the normal range. Spirulina supplementation for 24 weeks did not affect dietary intake and anthropometric parameters. However, considerable changes were observed in blood lipid profiles, antioxidant capacity, and immune indices. The plasma concentrations of triglycerides, total- and LDL-cholesterol decreased from 4 weeks of the supplementation period. The antioxidant capacity improved, as shown in increasing TAS and decreasing TBARS after supplementation. Improved immune function was also observed as the PBL lymphocyte proliferation rate and plasma C3 levels increased. The above effects of spirulina supplementation did not differ between mild hypercholesterolemic (cholesterol $\geq$ 200mg/d1) and normochole-sterolemic (cholesterol < 200 mg/dl) subjects. This study provided evidence that spirulina could be used as dietary supplementation in nutritionally vulnerable groups to improve nutritional and health status and to prevent chronic disease such as hyperlipidemia or oxidation-prone diseases. further studies in this area with various population groups are warranted.

The Effects of Herbal Medicine on The Liver Function of Inpatient with Facial Palsy (말초성 안면마비 환자군의 한약복용이 간 기능에 미치는 영향)

  • Baek, Sang-Chul;Jo, Eun-Hee;Park, Min-Cheol
    • The Journal of Korean Medicine Ophthalmology and Otolaryngology and Dermatology
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    • v.24 no.3
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    • pp.37-54
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    • 2011
  • Background and Objective : Recently it is true that increasing interest in Oriental medicine and usage of herbal medicine. On the other hand, there are many concerns about the stability of herbal medicine. So, this study is carried out to see whether or not the treatment with Sanghan-Bang(傷寒方) is effective on the liver function besides its effectiveness in treating facial palsy. Methods : We examined serum TP, Albumin, TB, AST, ALT, ALP, LDH, ${\gamma}$-GGT levels, and facial palsy states in 37 patients with facial palsy who had admission treatment in an oriental medical hospital. Results and Conclusion : 1. We found the levels of TP, albumin, TB, and ${\gamma}$-GGT had decreased statistically significant. Also, AST, ALT, LDH and ALP levels had decreased however it was not statistically significant. 2. We analyzed the herbal group that may be efficient to the liver function; Daehwang-Jae(16 case), Injin-Jae(12 case), and Chija-Jae(6 case) in this order. 3. From the eight cases using oriental medicinal concoctions using one of Daehwang, Injin-Jae or Chija as their main component, the liver function test results displayed decreasing values, re-entering into normal LFT ranges. 4. As we compared the admission House-Brackmann Scale with discharge, the treatment was efficient and statistically significant.

Global Sliding Mode Control based on a Hyperbolic Tangent Function for Matrix Rectifier

  • Hu, Zhanhu;Hu, Wang;Wang, Zhiping;Mao, Yunshou;Hei, Chenyang
    • Journal of Power Electronics
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    • v.17 no.4
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    • pp.991-1003
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    • 2017
  • The conventional sliding mode control (CSMC) has a number of problems. It may cause dc output voltage ripple and it cannot guarantee the robustness of the whole system for a matrix rectifier (MR). Furthermore, the existence of a filter can decrease the input power factor (IPF). Therefore, a novel global sliding mode control (GSMC) based on a hyperbolic tangent function with IPF compensation for MRs is proposed in this paper. Firstly, due to the reachability and existence of the sliding mode, the condition of the matrix rectifier's robustness and chattering elimination is derived. Secondly, a global switching function is designed and the determination of the transient operation status is given. Then a SMC compensation strategy based on a DQ transformation model is applied to compensate the decreasing IPF. Finally, simulations and experiments are carried out to verify the correctness and effectiveness of the control algorithm. The obtained results show that compared with CSMC, applying the proposed GSMC based on a hyperbolic tangent function for matrix rectifiers can achieve a ripple-free output voltage with a unity IPF. In addition, the rectifier has an excellent robust performance at all times.