• Journal of the Korean Mathematical Society
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• v.53 no.2
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• pp.347-362
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• 2016

In this paper, we are concerned with abstract random linear operators on probabilistic unitary spaces which are a generalization of generalized random linear operators on a Hilbert space defined in [25]. The representation theorem for abstract random bounded linear operators and some results on the adjoint of abstract random linear operators are given.

• Bulletin of the Korean Mathematical Society
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• v.36 no.3
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• pp.419-439
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• 1999

In this paper, we first develop a general formula for evaluating conditional abstract Wiener integrals of cylinder functions. we next use our formula to evaluate the conditional abstract wiener integral of various cylinder functions and then specialize our results to conditional Yeh-Wiener integrals to show that we can obtain the corresponding results by Park and Skoug. We finally obtain a Cameron-Martin translation theorem for conditional abstract Wiener integrals.

• International Journal of Computer Science & Network Security
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• v.23 no.2
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• pp.79-88
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• 2023

To find research that concentrated on the use of augmented reality to address issues with teaching abstract concepts, several international databases were examined. Thirty research, published between the years (2013-2022), were analyzed to determine the many functions of augmented reality in resolving issues with abstract notions. These studies discovered numerous roles, which are listed below. The use of augmented reality in the following areas: the simplification of abstract ideas, the embodiment of abstract ideas, the enrichment of examples of abstract ideas, the resolution of conceptual misunderstandings, the stimulation of interest in learning abstract ideas, and more, and the research ended with the presentation of the conclusions.

• Journal of the Korean Mathematical Society
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• v.52 no.1
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• pp.141-157
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• 2015

The purpose of this paper is first of all to investigate the behavior of admixable operators on the product of abstract Wiener spaces and secondly to examine transform semigroups which consist of admix-Wiener transforms on abstract Wiener spaces.

• Journal of applied mathematics & informatics
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• v.7 no.1
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• pp.247-255
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• 2000

The purpose of this paper is to give new existence theorems of equilibrium in abstract economies with uncountable number of agents and general preference correspondences.

• Journal of People, Plants, and Environment
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• v.24 no.6
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• pp.685-691
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• 2021

Background and objective: Understanding abstract art as an art form requires depth of thought. Moreover, understanding land art as abstract art is challenging, given its focus on the minimalism and abstract concepts. Much focus, research, and work were actively conducted in the 1970s, as it represented an abstract expression of minimalism. The characteristics of minimalism connote abstract meanings in the use of materials. Nevertheless, the original research of works or artists has often been mentioned, but few studies have analyzed the abstract language of land art materials. The aim of this study is to thus determine the abstract meanings of materials in land art from the 1970s to the 2010s. Methods: Art-based research was employed to address the aim. This study classified the land art materials into intangible and tangible materials, where intangible materials focused on lines, circles, and labyrinths, and tangible materials focused on the earth, stones, wood, and snow. Results: Intangible and tangible materials of land art conveyed various abstract meanings. Intangible materials were reflective of connection and symbiosis with nature, delivering abstract languages of 'take-nothing,' 'reflection' and 'opportunity.' Tangible materials reflected the abstract concepts of 'intervention,' 'resistance,' 'unliving,' and 'change,' and conveyed caveats. In other words, taken together, intangible and tangible materials were presented in symbiosis-and with caveats-and delivered messages for the present and the future. Interestingly, intangible materials inherently reflect symbiosis and communicate caveats in works based on a non-contextualized present and future. Conclusion: Interpretation of the abstract languages derived from intangible and tangible materials could imply a symbiosis between humans and nature, while conveying the message that caveats, to humans, are still ongoing. This relationship plays a significant role in an artist's selection of a medium, which is reflective of abstract beliefs reflected in contemporary, nature-based works created on Earth.

• Journal of applied mathematics & informatics
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• v.38 no.5_6
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• pp.559-577
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• 2020

We present uniform and L_p left Caputo-Bochner abstract iterated fractional Landau inequalities over ℝ₊. These estimate the size of second and third iterated left abstract fractional derivates of a Banach space valued function over ℝ₊. We give an application when the basic fractional order is ${\frac{1}{2}}$.

• The Research Journal of the Costume Culture
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• v.22 no.6
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• pp.955-964
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• 2014

This study is to explore the relationships between sensibility images of mannequins and apparel shops. A total of 113 consumers participated in experiments with photo stimuli of 2 mannequin types (realistic and semi-abstract mannequins) and 4 brand shops of women's casual wear. In results, luxurious, chic, strong, sexy, and young images were more strongly perceived from realistic mannequins than semi-abstract mannequins whereas simple and soft images were more strongly perceived from semi-abstract mannequins than realistic mannequins. Shops using realistic mannequins indicated strong images whereas shops using semi-abstract mannequins presented soft, comfortable, and feminine images. In the correlation analysis, luxurious, chic, strong, and young images of realistic mannequins were consistent with shop images using realistic mannequins. Also, luxurious, chic, soft, comfortable, and feminine images of semi-abstract mannequins were consistent with shop images using semi-abstract mannequins. In order to clearly communicate brand concepts with consumers, mannequin that is a key element of visual merchandising in the apparel shop, should be carefully selected, considering the accordance with shop image.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2010.10a
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• pp.655-656
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• 2010

Color association is reminding you that is related to the means, events, or experience by the color impression. These kinds of associations was largely concrete association and abstract associations. In this paper, look at the features and examples of concrete association and abstract associations, and look at the abstract association and the concrete associations of typical colors. In addition, find out about the similarities and difficulties or color association.

• Korean Journal of Mathematics
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• v.6 no.1
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• pp.47-66
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• 1998

In this paper, we introduce an $L_p$ analytic Fourier-Feynman transformation, show the existence of the $L_p$ analytic Fourier-Feynman transforms for a certain class of cylinder functionals on an abstract Wiener space, and investigate its interesting properties. Moreover, we define a convolution product for two functionals on the abstract Wiener space and establish the relationships between the Fourier-Feynman transform for the convolution product of two cylinder functionals and the Fourier-Feynman transform for each functional.