• Bulletin of the Korean Mathematical Society
• /
• v.46 no.1
• /
• pp.79-86
• /
• 2009

We consider the dimension and interval dimension of bipartite ordered sets and provide a sufficient condition for when the two parameters are equal.

• Communications of the Korean Mathematical Society
• /
• v.23 no.4
• /
• pp.549-554
• /
• 2008

We study the multifractal spectrum of two dimensionally indexed classes whose members are distribution sets of a self-similar attractor in the unit interval.

• Journal of the Chungcheong Mathematical Society
• /
• v.22 no.2
• /
• pp.245-250
• /
• 2009

We consider a code function from the unit interval which has a generalized dyadic expansion into a coding space which has an associated ultra metric. The code function is not a bi-Lipschitz map but a dimension-preserving map in the sense that the Hausdorff and packing dimensions of any subset in the unit interval and its image under the code function coincide respectively.

• Communications of the Korean Mathematical Society
• /
• v.22 no.4
• /
• pp.547-552
• /
• 2007

The unit interval is not homeomorphic to a self-similar Cantor set in which we studied the dimensions of distribution subsets. However we show that similar results regarding dimensions of the distribution subsets also hold for the unit interval since the distribution subsets have similar structures with those in a self-similar Cantor set.

• Journal of the Chungcheong Mathematical Society
• /
• v.23 no.4
• /
• pp.657-661
• /
• 2010

We study a singular function which we call a generalized cylinder convex(concave) function induced from different generalized dyadic expansion systems on the unit interval. We show that the generalized cylinder convex(concave)function is a singular function and the length of its graph is 2. Using a local dimension set in the unit interval, we give some characterization of the distribution set using its derivative, which leads to that this singular function is nowhere differentiable in the sense of topological magnitude.

• Journal of the Korean Society of Clothing and Textiles
• /
• v.29 no.1 s.139
• /
• pp.1-12
• /
• 2005

This study was to suggest a feasible sizing system of infants and children's swim-suits. The basic body dimensions were selected after surveying the swimsuit manufacturers. The control dimensions and the secondary dimensions were taken from the 1997 National Anthropometric Survey data for the establishment of the sizing system. While in the current market swimsuit sizes were generally measured by the hip circumference for boys, and the bust and hip circumference for girls, the height was selected in this study as the control dimension because the height is well recognized by the customers and the KS standards specify the height to be the control dimension for infant's and children's wear. In the new sizing system of this study, the height was a control dimension, and hip was selected as a secondary dimension for boys. and bust and hip were selected as secondary dimensions for girls. Conclusively, in this study we suggest 12 sizes in case of 5cm height interval by the KS sizing system and 7 sizes in case of loom height interval by the current market sizing system, based on the height as a control dimension, for a standard swim-suit sizing system for infants and children.

• Journal of The Korean Society of Agricultural Engineers
• /
• v.49 no.5
• /
• pp.3-9
• /
• 2007

In this study, the effect of the purification materials is analyzed and tested by Flow 3D and Hydraulic model test. Three dimension numerical analysis led from the research that sees abnormal form and the size back of the water purification material conferred the flowing water conduct inside the test channel against the test condition. Comparison it analyzed the flux distribution, a water depth of the channel which establishes the water purification materials the cross section, an interval of the water purification material, a conference with general channel, it change executed. As a result, the cross section ratio of the purification materials against and a flux change from the test which it sees. The interval of the purification materials in order to prevent three dimension that follows in decrease of increase and flux must decide an interval.

• Journal of the Chungcheong Mathematical Society
• /
• v.21 no.4
• /
• pp.527-532
• /
• 2008

We compare a coding space which has an ultra metric with the unit interval which has an associated generalized dyadic expansion. The two spaces are not homeomorphic but dimensionally equivalent in the sense that the Hausdorff and packing dimensions of the corresponding distribution sets in the two spaces coincide.

• Journal of the Korean Mathematical Society
• /
• v.28 no.2
• /
• pp.195-205
• /
• 1991

• Bulletin of the Korean Mathematical Society
• /
• v.48 no.2
• /
• pp.261-275
• /
• 2011

We give characterizations of the differentiability points and the non-differentiability points of the Riesz-N$\'{a}$gy-Tak$\'{a}$cs(RNT) singulr function using the distribution sets in the unit interval. Using characterizations, we show that the Hausdorff dimension of the non-differentiability points of the RNT singular function is greater than 0 and the packing dimension of the infinite derivative points of the RNT singular function is less than 1. Further the RNT singular function is nowhere differentiable in the sense of topological magnitude, which leads to that the packing dimension of the non-differentiability points of the RNT singular function is 1. Finally we show that our characterizations generalize a recent result from the ($\tau$, $\tau$ - 1)-expansion associated with the RNT singular function adding a new result for a sufficient condition for the non-differentiability points.