• Journal for History of Mathematics
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• v.23 no.3
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• pp.57-73
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• 2010

Transcendental numbers are important in the history of mathematics because their study provided that circle squaring, one of the geometric problems of antiquity that had baffled mathematicians for more than 2000 years was insoluble. Liouville established in 1844 that transcendental numbers exist. In 1874, Cantor published his first proof of the existence of transcendentals in article [10]. Louville's theorem basically can be used to prove the existence of Transcendental number as well as produce a class of transcendental numbers. The number e was proved to be transcendental by Hermite in 1873, and $\pi$ by Lindemann in 1882. In 1934, Gelfond published a complete solution to the entire seventh problem of Hilbert. Within six weeks, Schneider found another independent solution. In 1966, A. Baker established the generalization of the Gelfond-Schneider theorem. He proved that any non-vanishing linear combination of logarithms of algebraic numbers with algebraic coefficients is transcendental. This study aims to examine the concept and development of transcendental numbers and to present students with its open problems promoting a research on it any further.

• Journal of Applied Tourism Food and Beverage Management and Research
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• v.9
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• pp.131-161
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• 1998

None of us need to be reminded that these are exceedingly times. The evidence in all about us. Between rising costs and lowering prices, many businesses find profits being depressed almost to the vanishing point. The eating out food business is in just such a profit squeeze. Our ability to compete depends not only on our ability to control the price-cost picture, but to improve its kitchen product system. A kitchen product system is incomplete without a series of built-in improvement procedures. They must be a key part of the system. "improvement" means the continual betterment of all aspects of the operation-its personnel, products, sales, and its costs. These improvements create profits. This study is devoted to a discussion of the application of research methods and techniques to develop of modern kitchen system through the job standardization. Their use in executing other responsibilities related to the process of kitchen system improvement will also be seen. The steps of setting objectives, gathering data, analyzing and interpreting data, and arriving at solutions, conclusions, and/or recommendations are briefly out lined. The material presented emphasizes the need for an improved and systematic approach to the study of problems. It is also implied, of not stated, that the process should not become so mechanical that the principles of creativity are violated. The foregoing steps suggest a systematic approach to kitchen system improvement, finding solutions to problems, improving work methods, instituting changes, followting up on work related to the change. This study has been limited to the truly important points related to each step in the process, it will undoubtedly call to mind other factors for consideration, however, believe that the principles and approach suggested in this study will bring about better methods and improve kitchen operating results.g results.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.13 no.9
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• pp.3856-3863
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• 2012

A 3D reconstruction technique from stereo images that requires minimal intervention from the user has been developed. The reconstruction problem consists of three steps of estimating specific geometry groups. The first step is estimating the epipolar geometry that exists between the stereo image pairs which includes feature matching in both images. The second is estimating the affine geometry, a process to find a special plane in the projective space by means of vanishing points. The third step, which includes camera self-calibration, is obtaining a metric geometry from which a 3D model of the scene could be obtained. The major advantage of this method is that the stereo images do not need to be calibrated for reconstruction. The results of camera calibration and reconstruction have shown the possibility of obtaining a 3D model directly from features in the images.

• Journal of the Korean Society of Costume
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• v.58 no.4
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• pp.47-57
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• 2008

Funology is a compound word with fun and technology which means the products or activity carrying fun and technology at the same time. This is one of the key words that can explain the culture of post-digital generation amongst the post-digital age. The purpose of this study was to provide the creative ideas to develop the fashion designs showing funology concept for the 21st century. As a background of funology trend, general ideas about the post-digital age and the post-digital generation were reviewed. First, funology designs among the industrial products and the funology concepts in the advertisement were examined. And the ways of expression and the meanings of funology fashion designs were extracted by analyzing funology fashion between 2000 S/S and 2008 F/W. The external expression ways of funology fashion in the post-digital age were as follows: parody of popular images, inharmony by the exaggeration or transformation, trompe l'oeil, mixture of the styles shown in the children's wear and the objects of children, patterns with childlike or animation characters, and the graffiti art. The internal meanings contained in the funology fashion were 1) fantasm showing surrealistic funology that was based on the people's pursue of fantasy free from the everyday's severe routine 2) memorism showing nostalgic funology that was based on the pursue of vanishing fear of reality and going back to the childhood. To sum up, fashions showing funology were expressed in various ways in the post-digital age. This will provide the great inspirations for creating the new coming fashions and efficient healing contents for the cold-hearted emotions of nowaday's people.

• Korean Institute of Interior Design Journal
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• v.24 no.6
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• pp.128-136
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• 2015

This research, which has been planned to appreciate the features of continuous observation of space, has applied the procedure of acquiring continuous visual information when the act of watching takes place along the time to analyze the space characteristics through the scenes and time so that the features of attention shown in the process of acquiring visual information at the time of observing continuous scenes might be estimated. For analysis of the features of continuous observation was set up the premise that the features of observation and perception vary depending on gender, when the women shops in department stores were selected as research objects. The observation features found at the time of continuous observation of selling spaces in department stores were focused on two analysis methods in order to compare the differences and characteristics of the two. The followings are the findings. First, the area with predominant observation was found to be 87.1% in both methods. It was found that the analysis of observation features by "Analysis I" was useful for inter-sectional comparison of continuous images. Second, in case of extracting predominant sections, the ceiling or the structures which are the backgrounds rarely attracted any eyes. Depending on analysis method, there was the gap of 14.3%~25.0% between observed sections. Third, in case that the hall is curved, the eyes were found to be expanded from side to side and up and down. The review of observation numbers of predominant sections makes it possible to decide whether it should be regarded as (1) unstability or (2) expanding search, and when the images are enlarged from distant view to close-range view, the weakening vanishing point results in the increase of expanded search of surroundings. Accordingly, it was found that the characteristics of images has effects on the observation features when any space was continuously observed. Furthermore, the difference of analysis methods also was found to be likely to cause big differences in the results of analyzing observation features.

• Korean Institute of Interior Design Journal
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• v.26 no.2
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• pp.3-12
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• 2017

This study has analyzed the features of attention to spacial composition seen in "Seeing ${\leftrightarrow}$ Seen" Correlation of continuous move in the space. The eye-tracking was employed for collecting the data of attention features to the space so that the correlation between visual perception and space could be estimated through the attention features to the difference between spacial composition and display. First, it was confirmed that the attention features varied according to the structure of shops and the exposure degree of selling space, which revealed that, while causing the customers' less attention to both sides of shops, the vanishing-point structure characteristically made their eyes focused on the central part. Second, their initial observation activities were found to be active at the height of their eyes. Third, 10 images were selected as objects for continuous experiment. There was a concern that the central part of each image would be paid intense attention to during the initial observation, but only two of those were found to be so. Fourth, there had been a study result of eye-tracking experiment that the attention had been concentrated on the central part of the image first seen. This study, however, revealed that such phenomenon is limited to the first image. Accordingly, it is necessary to draw up such method for ensuring reliability in order to use the data acquired from any eye-tracking experiment as exclusion of the initial attention time to the first image or of unemployment of the initial image-experiment to analysis.

• Archives of design research
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• v.19 no.5 s.67
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• pp.151-160
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• 2006

When it comes to the paintings in Joseon Dynasty, landscape and a genre paintings were popular but it was Minhwa that people of every dass loved. Minhwa contained not only true meaning of a picture, but also it was simple and straighforwardly depicted. Among them, paintings in books belonging to the Joseon Dynasty (hereinafter called Checkgeori paintings) describe a small universe in which people live harmoniously in nature on the basis of a Confucian society. In addition, it shows modern philosophy in paintings and makes a feature of human life. In this paper, 'Ssangpok Checkgeori 'in Checkgeori paintings illustrates the relationships between things such as color, arrangement, place and direction. They have outstanding features such as the direction of things in composition, multiple vanishing points, a folding screen constituent and movement of viewpoints. Therefore, we come to know the painting method of 'Ssangpok Checkgeori' can be applied to modern paintings.

• Korean Institute of Interior Design Journal
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• v.19 no.5
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• pp.56-66
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• 2010

This study proposes a thesis of architectural concepts and visual dimension systems, and the comparison between steps of spatial formation and dimensional alteration. The second chapter, to form the basis of this study, explains the dimensional alterations and changes of fundamental notion of space. In the third chapter, history of space, architectural formations, and changes of the viewpoint are analyzed as objects of study. The forth chapter presents the interrelation between dimensional alteration and the transition in fundamental notion of space, demonstrating that modern architecture has been born from these cultural movements. Lastly, the fifth chapter suggests possibilities on further studies and the following conclusions: First, architectural spaces have been changed, in accordance with the changes of culture, art and the tools that regulate architectural design. Proportional regulations by two-dimensional tools and depth through three-dimensional drawings are created. Second, architectural spaces gained depth by recognizing movement and time that have induced formations to change, creating various aesthetic backgrounds and attempts. Third, the aesthetic background and cosmologic spatial concept have led the visualization and changes of architectural experience. It created the design tools and shapes originated in dynamism and vitality. Forth, diversification of fundamental spatial concepts has become palimpsest and complex, and been divided into four dimensions; expressional two-dimensional space, perspective three-dimensional space, forth-dimensional space of time and experience, and imagery space formed by body movement. Fifth, architecture has been influenced by the elevated viewpoint that understands the whole world as a space. It has evolved from the two-dimensional proportion principle, change of depth and vanishing point to multidimensional space of movement and time. Sixth, changes of fundamental notion of space have arisen from changes of visual dimensions in times. In other words, space has been developed from two-dimensional space to multidimensional space by accepting visual dimension, grasping distance, direction, depth, height, velocity, movement, gravity, power and structure.

• Structural Engineering and Mechanics
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• v.39 no.3
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• pp.427-447
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• 2011

The progressive collapse phenomenon is generally regarded as dynamic. Due to the impracticality of nonlinear dynamic computations for practitioners, an interest arises for the development of equivalent static pushover procedures. The present paper proposes a methodology to identify such a procedure for sudden column removals, using energetic evaluations to determine the pushover loads to apply. In a dynamic context, equality between the cumulated external and internal works indicates a vanishing kinetic energy. If such a state is reached, the structure is sometimes assumed able to withstand the column removal. Approximations of these works can be estimated using a static computation, leading to an estimate of the displacements at the zero kinetic energy configuration. In comparison with other available procedures based on such criteria, the present contribution identifies loading patterns to associate with the zero-kinetic energy criterion to avoid a single-degree-of-freedom idealisation. A parametric study over a family of regular steel structures of varying sizes uses non-linear dynamic computations to assess the proposed pushover loading pattern for the cases of central and lateral ground floor column failure. The identified quasi-static loading schemes are shown to allow detecting nearly all dynamically detected plastic hinges, so that the various beams are provided with sufficient resistance during the design process. A proper accuracy is obtained for the plastic rotations of the most plastified hinges almost independently of the design parameters (loads, geometry, robustness), indicating that the methodology could be extended to provide estimates of the required ductility for the beams, columns, and beam-column connections.

• Journal of Korea Multimedia Society
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• v.22 no.11
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• pp.1223-1232
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• 2019

The injection is the input method of the image feature vector from the encoder to the decoder. Since the image feature vector contains object details such as color and texture, it is essential to generate image captions. However, the bidirectional decoder model using the existing injection method only inputs the image feature vector in the first step, so image feature vectors of the backward sequence are vanishing. This problem makes it difficult to describe the context in detail. Therefore, in this paper, we propose the parallel injection method to improve the description performance of image captions. The proposed Injection method fuses all embeddings and image vectors to preserve the context. Also, We optimize our image caption model with Bidirectional Gated Recurrent Unit (Bi-GRU) to reduce the amount of computation of the decoder. To validate the proposed model, experiments were conducted with a certified image caption dataset, demonstrating excellence in comparison with the latest models using BLEU and METEOR scores. The proposed model improved the BLEU score up to 20.2 points and the METEOR score up to 3.65 points compared to the existing caption model.