• International Journal of Advanced Culture Technology
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• v.11 no.3
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• pp.199-204
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• 2023

"New Dimension Art" is an artistic concept of the new era that the author puts forward by combining the background, the artistic environment and the artistic market.It relates to the consciousness of thought, the way of feeling, the form of expression and even the style of language in artistic creation.The author expounds this concept of art.At the same time, this paper deeply studies the characteristics of "new dimension art" by analyzing personality and commonality, as well as the creator's personality transformation.The author hopes that he and more artists can create and express more accurately through this concept, so that his works can fully reflect the author's individual characteristics and release more dimensional field energy. We are confident that this paper will affect the area of painting in the future.

• Bulletin of the Korean Mathematical Society
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• v.50 no.5
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• pp.1451-1469
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• 2013

We present various new sharp assertions on multipliers in mixed norm, weighted Hardy and new Lizorkin-Triebel spaces of harmonic functions in higher dimension. Some results are new even in onedimensional case.

• Bulletin of the Korean Mathematical Society
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• v.51 no.1
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• pp.173-187
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• 2014

In this article, we introduce and study the Gorenstein cotorsion dimension of modules and rings. It is shown that this dimension has nice properties when the ring in question is left GF-closed. The relations between the Gorenstein cotorsion dimension and other homological dimensions are discussed. Finally, we give some new characterizations of weak Gorenstein global dimension of coherent rings in terms of Gorenstein cotorsion modules.

• Communications of the Korean Mathematical Society
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• v.33 no.3
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• pp.711-719
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• 2018

In this paper we define and study a new kind of dimension called, semisimple dimension, that measures how far a module is from being semisimple. Like other kinds of dimensions, this is an ordinal valued invariant. We give some interesting and useful properties of rings or modules which have semisimple dimension. It is shown that a noetherian module with semisimple dimension is an artinian module. A domain with semisimple dimension is a division ring. Also, for a semiprime right non-singular ring R, if its maximal right quotient ring has semisimple dimension as a right R-module, then R is a semisimple artinian ring. We also characterize rings whose modules have semisimple dimension. In fact, it is shown that all right R-modules have semisimple dimension if and only if the free right R-module ${\oplus}^{\infty}_{i=1}$ R has semisimple dimension, if and only if R is a semisimple artinian ring.

• Journal of applied mathematics & informatics
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• v.5 no.1
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• pp.13-22
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• 1998

Fractals which represent many of the sets in various scien-tific fields as well as in nature is geometrically too complicate. Then we usually use Hausdorff dimension to estimate their geometrical proper-ties. But to explain the fractals from the hausdorff dimension induced by the Euclidan metric are not too sufficient. For example in digi-tal communication while encoding or decoding the fractal images we must consider not only their geometric sizes but also many other fac-tors such as colours densities and energies etc. So in this paper we define the dimension matrix of the sets by redefining the new metric.

• Journal of the Korean Home Economics Association
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• v.34 no.3
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• pp.137-155
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• 1996

The purpose of this study was to identify the relative influence of OCM and BSM's family functioning dimensions and develop a new family system model related to adolescent adjustment. The 443 subjects were selected randomly from the second grade of middle and high schools in the city of Taegu. The survey instruments were FACESⅢ, SFI-Ⅱ, State-Trait Anxiety Inventory, Depression Scale, Self-Esteem Scale, and Delinquency Scale, Factor Analysis, Cronbach's α, Multiple Regression, MANOVA, Scheffe test were conducted for the data analysis. The major findings of this study were as follows: First, OCM's and BSM's family functioning dimensions respectively had different relative influence that affected adolescent adjustment level. In anxiety and depression. BSM's family health/competence dimension had superior influence to any other family functioning dimensions and in self-esteem and delinquency, OCM's cohesion dimension was superior to any other family functions. Second, family system classification method by a new family system model using family cohesion(OCM's relationship dimension) and family health/competence(BSM's change dimension) was more useful than OCM in evaluating adolescent adjustment.

• Journal of Industrial Technology
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• v.5
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• pp.65-71
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• 1985

In case that the datums chosen for dimension on engineering drawings are unsuitable for manufacturing and inspecting and inspection purposes and it is necessary to redimension the design from new datum. L. E. Farmer presented a theory for performing this change of datum, discussed a procedure for allocating tolerances to new dimensions and presented the procedure of change of datum as part of a computer aided design system. This paper deals with the development of the interactive computer program which is insufficiently presented without all coding list of program by L. E. Farmer.

• Journal of Fashion Business
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• v.22 no.1
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• pp.135-147
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• 2018

Since the 20th century, there has been a growing interest in the new concept of fractals, a combination of mathematics and art, and the attempt to study the creative spatial aspects of the concept is being made. The purpose of this research is to examine artistic characteristics of fractal dimension and then analyze the types of fractal dimensions expressed in the fashion. Previous literature on fractals and dimension, and visual data on art and fashion collected over the Internet were used for analysis. Fractal dimension refers to the spatial concept of structural dimension of geometrical self-similarity. An analysis of the types of fractals seen in fashion revealed spatial expansion, the repetition in continual figures, superposition accordant to different sizes, and shades of different shapes. The aesthetic characteristics of fractal dimension appearing in fashions were examined based on analyses of fractal dimension types; the inherent characteristics of self-similarity, superimposition, and atypicality were found. Results obtained from this study are expected to be used as basic materials for the application of the design of fractal dimension into various perspectives of fashion.

• The Journal of Advanced Prosthodontics
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• v.2 no.3
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• pp.106-110
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• 2010

The severe wear of anterior teeth facilitates the loss of anterior guidance, which protects the posterior teeth from wear during excursive movement. The collapse of posterior teeth also results in the loss of normal occlusal plane and the reduction of the vertical dimension. This case report describes 77-year-old female, who had the loss of anterior guidance, the severe wear of dentition, and the reduction of the vertical dimension. Occlusal overlay splint was used after the decision of increasing vertical dimension by anatomical landmark, facial and physiologic measurement. Once the compatibility of the new vertical dimension had been confirmed, interim fixed restoration and the permanent reconstruction was initiated. This case reports that a satisfactory clinical result was achieved by restoring the vertical dimension with an improvement in esthetics and function.

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