• 대한수학회논문집
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• 제16권1호
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• pp.95-102
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• 2001

We consider a Cantor set with overlaps Λ in R$^1$. We calculate its correlation dimension with respect to the push-down measure on Λ comparing with its similarity dimension.

• 대한수학회논문집
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• 제18권2호
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• pp.281-288
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• 2003

In this paper, we calculate the lower and upper bound of the correlation dimension([4], [6]) for a Cantor-like set([5])

• 대한수학회지
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• 제41권5호
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• pp.933-944
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• 2004

Packing dimension of a set is an upper bound for the packing dimensions of measures on the set. Recently the packing dimension of statistically self-similar Cantor set, which has uniform distributions for contraction ratios, was shown to be its Hausdorff dimension. We study the method to find an upper bound of packing dimensions and the upper Renyi dimensions of measures on a statistically quasi-self-similar Cantor set (its packing dimension is still unknown) which has non-uniform distributions of contraction ratios. As results, in some statistically quasi-self-similar Cantor set we show that every probability measure on it has its subset of full measure whose packing dimension is also its Hausdorff dimension almost surely and it has its subset of full measure whose packing dimension is also its Hausdorff dimension almost surely for almost all probability measure on it.

• 한국전자파학회논문지
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• 제21권9호
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• pp.1005-1012
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• 2010

본 논문에서는 대수 주기 코흐 다이폴 안테나(LPKDA: Log Periodic Koch Dipole Antenna)의 크기를 줄이기 위해 코흐 다이폴 소자를 칸토어 코흐 다이폴 소자로 대체한 대수 주기 칸토어 코흐 다이폴 안테나(LPCKDA: Log Periodic Cantor Koch Dipole Antenna)를 제안하였다. 제안된 안테나의 타당성을 확인하기 위하여 0.5~1.5 GHz의 주파수에서 동작하는 LPCKDA를 설계 및 제작하여 기존의 LPKDA(LPKDA: Log Periodic Koch Dipole Antenna)의 특성과 비교하였다. 그 결과, 본 논문에서 제안한 LPCKDA는 다이폴 소자의 길이를 약 5 % 줄이면서 복사 특성이 LPKDA와 비교하여 거의 차이가 없는 것으로 나타났다.

• 한국동물학회지
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• 제29권2호
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• pp.75-78
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• 1986

Karyotypes of Korean spotted serpent head [Channa argus (Cantor)] were analyzed to obtain a basic information on the cytogenetics of this fish. Diploid chromosome numbers were found to be 48, of which 2 were submetacentric, 10 were submeta- or subtelocentric, and 26 were acro- or telocentric chromosomes without notably hetermorphic sex chromosomes. Cytogenetical implications of the results are discussed.

• Journal of applied mathematics & informatics
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• 제26권3_4호
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• pp.733-738
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• 2008

Using an information of dimensions of divergence points, we give full information of dimensions of the completely decomposed class of the lower(upper) distribution sets of a self-similar Cantor set. Further using a relationship between the distribution sets and the subsets generated by the lower(upper) local dimensions of a self-similar measure, we give full information of dimensions of the subsets by the local dimensions.

• Korean Journal of Mathematics
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• 제16권2호
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• pp.157-163
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• 2008

Using informations of subsets of divergence points and the relation between members of spectral classes, we give another complete decomposition of spectral classes generated by lower(upper) local dimensions of a self-similar measure on a self-similar Cantor set with full information of their dimensions. We note that it is a complete refinement of the earlier complete decomposition of the spectral classes. Further we study the packing dimension of some uncountable union of distribution sets.

• 충청수학회지
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• 제21권2호
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• pp.157-163
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• 2008

We study essentially disjoint one dimensionally indexed classes whose members are distribution sets of a self-similar Cantor set. The Hausdorff dimension of the union of distribution sets in a same class does not increases the Hausdorff dimension of the characteristic distribution set in the class. Further we study the Hausdorff dimension of some uncountable union of distribution sets.

• Journal of applied mathematics & informatics
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• 제23권1_2호
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• pp.497-503
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• 2007

We consider a non-empty subset having same local dimension of a self-similar measure on a most generalized Cantor set. We study trans-formed lower(upper) local dimensions of an element of the subset which are local dimensions of all the self-similar measures on the most generalized Cantor set. They give better information of Hausdorff(packing) dimension of the afore-mentioned subset than those only from local dimension of a given self-similar measure.

• Kyungpook Mathematical Journal
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• 제45권4호
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• pp.503-510
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• 2005

Let $\left{K_{\alpha}\right}_{{\alpha}{\in}{\mathbb{R}}}$ be the multifractal spectrums of a perturbed Cantor set K. We find the set of values ${\alpha}$ of nonempty set $K_{\alpha}$ by using the Birkhoff ergodic theorem. And we also show that such $K_{\alpha}$ is a fractal set in the sense of Taylor [12].