• 대한수학회논문집
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• 제20권4호
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• pp.695-702
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• 2005

We study the transformed measures with respect to the real parameters of a self-similar measure on a self-similar Can­tor set to give a simple proof for some result of its multifractal spectrum. A transformed measure with respect to a real parameter of a self-similar measure on a self-similar Cantor set is also a self­similar measure on the self-similar Cantor set and it gives a better information for multifractals than the original self-similar measure. A transformed measure with respect to an optimal parameter deter­mines Hausdorff and packing dimensions of a set of the points which has same local dimension for a self-similar measure. We compute the values of the transformed measures with respect to the real parameters for a set of the points which has same local dimension for a self-similar measure. Finally we investigate the magnitude of the local dimensions of a self-similar measure and give some correlation between the local dimensions.

• 한국철도학회논문집
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• 제11권6호
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• pp.562-568
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• 2008

현대의 물류는 파렛트를 활용한 일관운송체계로 변화하고 있다. 더불어 포장용기의 적재율과 타 수송수단과의 정합성을 높이려는 노력도 병행되고 있다. 이와 같은 일련의 추세는 물류의 효율화를 통한 물류비 절감이라는 명제에 기반을 둔다. 파렛트를 이용한 일관수송에서 기본이 되는 것은 포장의 단위이다. 개별 포장의 크기와 형태가 포장용기의 적재율을 최대화시키도록 하는 것이 관건이기 때문이다. 또한 포장용기는 이차적으로 수송수단의 적재함이나 보관시설 등 연관된 물류활용에 영향을 미치기 때문에 포장의 단위가 미치는 파급의 범위는 넓다. 본 연구의 목적은 포장모듈 표준화 사업의 효과를 평가하는 척도(MOE)를 선정하고 이를 반영한 평가모형을 개발하는데 있다. 선행연구의 사례와 타 학문분야의 계량화 방법 등을 토대로 포장모듈의 표준화가 물류산업에 미치는 영향을 파악하고 이를 계량화하는 방안을 제시한다. 연구의 방법론적 측면에서 볼 때 물류활동 부문별로 나타나는 포장모듈 표준화의 효과를 어떠한 방법으로 계량화하고 가중치를 두어 하나의 대표값으로 추출하느냐가 관건이 된다.

• East Asian mathematical journal
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• 제7권2호
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• pp.179-184
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• 1992

• Nuclear Engineering and Technology
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• 제53권8호
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• pp.2509-2522
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• 2021

A valve assembly used in nuclear power plants must be qualified and supervised. New technical standards such as ASME QME-1 2007 particularly require detailed qualification using experiment and analysis. Particularly, diagnostic tests and engineering studies are required for qualification of ASME QME-1 2007. Among these studies, the research on the measurement of friction coefficient and packing stress is important. The irregular change of packing stress along the stroke distance occurs because of the abnormal phenomenon, which must be found and studied with quantitative methods. Packing stress should be analyzed conservatively through experimentation and analysis. In this study, various formulas were applied to measure and calculate coefficient of friction and packing stress. This study can be used in relation to qualification and supervision of packing materials. And the calculation using static diagnosis test can be used to find the packing frictional force in dynamic diagnosis test with flow pressure in a pipe. This study has made it possible to reliably consider packing frictional force generated in a valve body. And so, it is believed that more margin can be secured when evaluating the capacity of valve actuator by applying the accurate frictional force generated in the valve assembly.

• 대한수학회논문집
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• 제37권4호
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• pp.1073-1097
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• 2022

In this paper, we shall be concerned with evaluation of multifractal Hausdorff measure 𝓗^q,t_𝜇 and multifractal packing measure 𝓟^q,t_𝜇 of Cartesian product sets by means of the measure of their components. This is done by investigating the density result introduced in [34]. As a consequence, we get the inequalities related to the multifractal dimension functions, proved in [35], by using a unified method for all the inequalities. Finally, we discuss the extension of our approach to studying the multifractal Hewitt-Stromberg measures of Cartesian product sets.

• 충청수학회지
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• 제16권2호
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• pp.1-10
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• 2003

We compare a self-similar measure on a self-similar Cantor set with a quasi-self-similar measure on a deranged Cantor set. Further we study some properties of a self-similar measure on a self-similar Cantor set.

• 충청수학회지
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• 제19권4호
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• pp.357-364
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• 2006

We study Hausdorff and packing dimensions of subsets of a general coding space with a generalized ultra metric from a multifractal spectrum induced by a self-similar measure on a self-similar Cantor set using a function satisfying a H${\ddot{o}}$older condition.

• 충청수학회지
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• 제28권1호
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• pp.29-38
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• 2015

We compute the Hausdorff and packing dimensions of the cylindrical lower or upper local dimension set for a self-similar measure having different minimum and maximum of the local dimension on a self-similar set satisfying the open set condition.

• Korean Journal of Mathematics
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• 제12권1호
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• pp.1-5
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• 2004

We study Hausdorff and packing dimensions of subsets of a coding space with an ultra metric from a multifractal spectrum induced by a self-similar measure on a Cantor set using a function satisfying a H$\ddot{o}$lder condition.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제11권1호
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• pp.51-61
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• 2004

We find an easier formula to compute Hausdorff and packing dimensions of a subset composing a spectral class by local dimension of a self-similar measure on a self-similar Cantor set than that of Olsen. While we cannot apply this formula to computing the dimensions of a subset composing a spectral class by local dimension of a quasi-self-similar measure on a self-similar set on the way to a perturbed Cantor set, we have a set theoretical relationship between some distribution sets. Finally we compare the behaviour of a quasi-self-similar measure on a self-similar Cantor set with that on a self-similar set on the way to a perturbed Cantor set.