• Title/Summary/Keyword: Dimension-to-Dimension

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A Study on the Clothing Involvement and Brand Loyalty(The Case of Male and Female College Students) (의복관여차원에 따른 상표충성도에 관한연구(남, 여 대학생을 중심으로))

  • 이부련
    • Journal of the Korean Society of Costume
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    • v.42
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    • pp.231-242
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    • 1999
  • The purpose of this study was to classified the dimension of clothing involvement and the clothing loyalty of 256 male and 271 female college students in Taegu area. data was analyzed by frequency percentage mean factor analysis reliability test validity test correlation and ANOVA by using SPSS/pc. The results of this study were as follows; 1. the dimension of clothing involvement was classified into four factors such as clothing interest dimension clothing symbolism dimension clothing economics dimension and clothing individuality dimension. 2. In the relationship between brand loyalty and four factors of clothing involvement there was positive appearance involvement there was positive appearance in clothing interest clothing symbolism and clothing individuality with brand loyalty but negative appearance in clothing economics. The correlation between clothing interest dimension and clothing symbolism dimension clothing interest dimension and clothing individuality dimension clothing symbolism dimension and clothing economics dimension clothing symbolism dimension and clothing individuality dimension was positive. And there was no relation between clothing economics dimension and clothing individuality dimension clothing economics dimension and clothing interest dimension. 3. According to individual character females than males the group aged 18 to 20 and 24 to 27 than the group aged 21 to 23 showed more active tendency to the clothing involvement dimension and also highertendency to brand loyalty. The students with a major in humanities science than the students with a major in natural science and more expending consumers on clothes showed more active tendency to the clothing symbolism dimension and higher tendency to brand loyalty. 4. On the whole the attitude of consumers on clothes was very high in the clothing interest dimension common in the clothing individuality dimension and very low in the clothing economics dimension.

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ASSOUAD DIMENSION: ANTIFRACTAL METRIZATION, POROUS SETS, AND HOMOGENEOUS MEASURES

  • Luukkainen, Jouni
    • Journal of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.23-76
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    • 1998
  • We prove that a non-empty separable metrizable space X admits a totally bounded metric for which the metric dimension of X in Assouad's sense equals the topological dimension of X, which leads to a characterization for the latter. We also give a characterization based on this Assouad dimension for the demension (embedding dimension) of a compact set in a Euclidean space. We discuss Assouad dimension and these results in connection with porous sets and measures with the doubling property. The elementary properties of Assouad dimension are proved in an appendix.

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The Gain Estimation of a Fabry-Perot Cavity (FPC) Antenna with a Finite Dimension

  • Kwon, Taek-Sun;Lee, Jae-Gon;Lee, Jeong-Hae
    • Journal of electromagnetic engineering and science
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    • v.17 no.4
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    • pp.241-243
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    • 2017
  • In this paper, we have presented an equation for estimating the gain of a Fabry-Perot cavity (FPC) antenna with a finite dimension. When an FPC antenna has an infinite dimension and its height is half of a wavelength, the maximum gain of that FPC antenna can be obtained theoretically. If the FPC antenna does not have a dimension sufficient for multiple reflections between a partially reflective surface (PRS) and the ground, its gain must be less than that of an FPC antenna that has an infinite dimension. In addition, the gain of an FPC antenna increases as the dimension of a PRS increases and becomes saturated from a specific dimension. The specific dimension where the gain starts to saturate also gets larger as the reflection magnitude of the PRS becomes closer to one. Thus, it would be convenient to have a gain equation when considering the dimension of an FPC antenna in order to estimate the exact gain of the FPC antenna with a specific dimension. A gain versus the dimension of the FPC antenna for various reflection magnitudes of PRS has been simulated, and the modified gain equation is produced through the curve fitting of the full-wave simulation results. The resulting empirical gain equation of an FPC antenna whose PRS dimension is larger than $1.5{\lambda}_0$ has been obtained.

The Echocardiographic Assessment and Clinical Application of Cardiac Disease in Korea Jin-do Dog II. Comparison of Aortic Root Internal Dimension with Right Pulmonary Artery Internal Dimension (진돗개에서 심장초음파 측정치의 평가와 임상적 응용 II. 대동맥기부내경과 우페동맥내경의 비교)

  • 박인철;강병규;손창호
    • Journal of Veterinary Clinics
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    • v.17 no.1
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    • pp.187-193
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    • 2000
  • Fifteen adult Korea Jin-do dogs were studied by echocardiography to obtain the basic data of the imaging planes and normal references ranges to the aorta and pulmonary artery internal dimension. Measurements of aortic root internal dimension(AOID) and right pulmonary artery internal dimension (RPAID) were made at modified pulmonary arteries level short-axis view and left ventricular outflow tract long-axis view. The aortic root internal dimension and right pulmonary artery internal dimension at modified pulmonary arteries level short-axis view were 18.7$\pm$1.3mm (mean$\pm$SD) and 10.1$\pm$0.8mm, respectively. And RPAID/AOID was 0.5$\pm$0.1mm. The aortic root internal dimension and right pulmonary artery internal dimension at left ventricular outflow tract long-axis view were 19.3$\pm$1.6 mm and 10.7$\pm$1.3mm, respectively. And RPAID/AOID was 0.5$\pm$0.1mm. These results indicate that modified pulmonary arteries level short-axis view is useful planes to examine the aortic root and pulmonary arteries, and aortic root internal dimension is significantly higher(40~50%)than the right pulmonary artery internal dimension. Therefore measurements of aortic root internal and right pulmonary artery internal dimension can be used for monitoring dilation of pulmonary artery.

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PACKING DIMENSION OF MEASURES ON A RANDOM CANTOR SET

  • Baek, In-Soo
    • Journal of the Korean Mathematical Society
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    • v.41 no.5
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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.

ON SIMULTANEOUS LOCAL DIMENSION FUNCTIONS OF SUBSETS OF ℝd

  • OLSEN, LARS
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.5
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    • pp.1489-1493
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    • 2015
  • For a subset $E{\subseteq}\mathbb{R}^d$ and $x{\in}\mathbb{R}^d$, the local Hausdorff dimension function of E at x and the local packing dimension function of E at x are defined by $$dim_{H,loc}(x,E)=\lim_{r{\searrow}0}dim_H(E{\cap}B(x,r))$$, $$dim_{P,loc}(x,E)=\lim_{r{\searrow}0}dim_P(E{\cap}B(x,r))$$, where $dim_H$ and $dim_P$ denote the Hausdorff dimension and the packing dimension, respectively. In this note we give a short and simple proof showing that for any pair of continuous functions $f,g:\mathbb{R}^d{\rightarrow}[0,d]$ with $f{\leq}g$, it is possible to choose a set E that simultaneously has f as its local Hausdorff dimension function and g as its local packing dimension function.

Morphological. Analysis of Wear Particles by Fractal Dimension (차원해석에 의한 기계습동재료의 마멸분 형상특징 분석)

  • Won, D. W.;Jun, S. J.;Cho, Y. S.;Kim, D. H.;Park, H. S.
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2001.11a
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    • pp.53-58
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    • 2001
  • Fractal dimension is the method to measure the roughness and the irregularity of something that cannot be defined obviously by Euclidean dimension. And the analysis method of this dimension don't need perfect, accurate boundary and color like analysis lot diameter, perimeter, aspect or reflectivity of wear particles or surface. If we arranged the morphological characteristic of various wear particle by using the characteristic of fractal dimension, it might be very efficient to the diagnosis of driving condition. In order to describe morphology of various wear particle, the wear test was carried out under friction experimental conditions. And fractal descriptors was applied to boundary and surface of wear particle with image processing system. These descriptors to analyze shape and surface wear particle are boundary fractal dimension and surface fractal dimension.

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THE CORRELATION DIMENSION OF GENERALIZED CANTOR-LIKE SETS

  • Lee, Mi-Ryeong;Baek, Hun-Ki
    • Honam Mathematical Journal
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    • v.34 no.2
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    • pp.219-230
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    • 2012
  • In the paper, a symbolic construction is considered to define generalized Cantor-like sets. Lower and upper bounds for the correlation dimension of the sets with a regular condition are obtained with respect to a probability Borel measure. Especially, for some special cases of the sets, the exact formulas of the correlation dimension are established and we show that the correlation dimension and the Hausdorff dimension of some of them are the same. Finally, we find a condition which guarantees the positive correlation dimension of the generalized Cantor-like sets.

The Estimation of the Extent of Weathering using Fractal Dimension through a Comparison with Chemical Characteristic (화학적 특성과의 비교 분석을 통한 프랙탈 차원을 이용한 풍화도 추정)

  • Noh, Soo-Kack;Son, Young-Hwan;Bong, Tae-Ho;Park, Jae-Sung
    • Journal of The Korean Society of Agricultural Engineers
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    • v.54 no.2
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    • pp.127-135
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    • 2012
  • The processes of chemical and physical weathering occur simultaneously. The objective of this study was to estimate the degree weathered using fractal dimension through comparison with chemical characteristic of soil samples from Pohang (PH) and Kimpo (KP). Comparing chemical characteristics with fractal dimension, $SiO_2$, $Na_2O$, $K_2O$ content decreased and loss of ignition increased as fractal dimension increased. And fractal dimension showed high correlation with CWI while ATI, STI CIW, PI, CIA and RR demonstrated different degrees of correlation with fractal dimension. The tendency of the changes in oxide content and chemical weathering index with increasing fractal dimension appeared to be similar with the chemical changes due to weathering. Therefore, fractal dimension could be a good indicator representing the extent of weathering and chemical changes.

A Study on Clothing evaluative Criteria of Various Clothing Items (II) (의류상품 유형별 평가기준에 관한 연구(II))

  • 김미영
    • Journal of the Korean Home Economics Association
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    • v.26 no.3
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    • pp.1-12
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    • 1988
  • The objectives of the study were two folds. The first objective was to determine the dimensions of the evaluative criteria of various clothing items (underwear, pajamas, jeans, blouse, two-piece, coat). The second objective was to compare the importance of the dimensions according to the clothing items and the socioeconomic status of the subjects. The questionnaires were administered to college female students living in Seoul. Principal component factor analysis with varimax rotation and ANOVA were used for the analysis. The results were as follows; 1) The evaluative criteria dimensions were found to be different according to clothing items. (1) In underwear, pajamas, jeans, evaluative criteria were classified into Aesthetic dimension, economic dimension and Functional dimension. (2) In blouse, two-piece, coat, evaluative criteria were classified into Aesthetic dimension and practical dimension. 2) there were partially significant differences in placing importance on each evaluative criteria dimension between socio-economic groups. (1) In jeans, there was a significant difference in placing importance on Aesthetic dimension between socioeconomic status groups. (2) In blouse and two-piece there was a significant difference in placing importance on Practical dimension between socioeconomic status groups.

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