• Honam Mathematical Journal
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• v.46 no.2
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• pp.237-248
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• 2024

In this manuscript, the hypersurfaces of non-flat Riemannian 4-space forms are considered. A hypersurface of a 4-dimensional Riemannian space form defined by an isometric immersion 𝐱 : M³ → 𝕄⁴(c) is said to be biconservative if it satisfies the equation (∆²𝐱 )^⊤ = 0, where ∆ is the Laplace operator on M³ and ⊤ stands for the tangent component of vectors. We study an extended version of biconservativity condition on the hypersurfaces of the Riemannian standard 4-space forms. The C-biconservativity condition is obtained by substituting the Cheng-Yau operator C instead of ∆. We prove that C-biconservative hypersurfaces of Riemannian 4-space forms (with some additional conditions) have constant scalar curvature.

• Korean Institute of Interior Design Journal
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• v.21 no.3
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• pp.11-21
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• 2012

In order to increase visitors' viewing satisfaction and viewing behavior in the art museum exhibit by flat works, it is necessary to analyze the characteristics of major evaluation factors, such as 'the number of artworks and their intervals', 'the space of exhibition and the size of walls', and 'compositional change of exhibition spaces', which have a close relationship with each evaluation factors, by focusing on artworks and exhibition space. Thus, to investigate how the characteristic differences of the major evaluation factors in art museums affect visitors' viewing satisfaction and viewing behavior, this study compared the related analytical indicators, and conducted a correlation analysis. The results of this study are summarized as follows: First, the degree of concentration on artworks (which has been selected as a collective assessment indicator of visitors' satisfaction) increased when the exhibition space of art museum is display by less artworks and they have big interval in the large wall. Second, visitors' viewing satisfaction and qualitative viewing behavior increased when the exhibition space of art museum are simple and they change to simpler step by step. These findings imply that there is a high correlation between visitors' visio-perceptual experiences and viewing behavior, and that visitors' viewing satisfaction and viewing behavior can be predicted partially in the certain exhibition environment from this correlation.

• Journal of the Korean Mathematical Society
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• v.43 no.5
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• pp.1065-1080
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• 2006

For 3-dimensional Bieberbach groups, we study the de-formation spaces in the group of isometries of $R^3$. First we calculate the discrete representation spaces and the automorphism groups. Then for each of these Bieberbach groups, we give complete descriptions of $Teichm\ddot{u}ller$ spaces, Chabauty spaces, and moduli spaces.

• Journal of Astronomy and Space Sciences
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• v.4 no.2
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• pp.101-106
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• 1987

The current distribution of galaxies may contain clues to the condition of the universe when the galaxies condensed and to nature of the subsequent expansion of the universe. The development of this large scale structure can be studied by employing N-body computer simulations. The present paper describes the code developed for this purpose. The computer code calculates the motion of collisionless matter acting under the force of gravity in an expanding flat universe. The test run of the code shows the error less than 0.5% in 100 iterations.

• Journal of the East Asian Society of Dietary Life
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• v.20 no.5
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• pp.655-667
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• 2010

In this study, problems with table serving of Korean Jeollanamdo food were investigated, and methods for improvement were suggested. The manner of food serving and arrangement on tables, as well as the serving space in each case, were investigated in representative restaurants serving Jeollanamdo food. The results showed that most of the Jeollanamdo Korean food have a prototype of a flat serving sprea, wherein the main dish and side dishes are not clearly identified, the demarcation between shared space and personal space is insufficiently made for each serving on the table, and the table is full of side dishes, that are narrow, visually disordered and unhygienic, both in terms of the table setting and arrangement inside bowls. To provide sufficient eating space, elevate awareness of hygienic and clean serving, and identifying the main dish in the table setting, a serving method that is a compromise between the flat spread-out and time-series development was suggested, and an arrangement on the table was defined for the main dish and side dishes. The utilization of table space was also increased by reducing the number of dishes on the table at a given moment. In addition, the dish or bowl and arrangement inside the container were changed in order to distinguish the main dish and side dishes. It is suggested that some of tableware be linked with the special products of the locality so as to make a brand for them, and that a personal mat be used to arrange the tableware for each one, since there are many fermented food items (salted fish, kimchi, fermented paste and sauce, etc.) and boiled food items (stew, steamed dish, boiled dish in sauce, etc) that look dark and unfocused. In addition, it is suggested that the width and breadth of the dishes or bowls be set in an orderly manner. Considering the tables currently available at restaurants, personal space on a table and comfortable distance between eaters are suggested to be $400 mm{\times}250 mm$ and 300 mm, respectively.

• The Bulletin of The Korean Astronomical Society
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• v.39 no.2
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• pp.91.2-91.2
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• 2014

A near infrared wide-band high resolution spectrograph, immersion grating infrared spectrometer (IGRINS) has been jointly developed by the Korea Astronomy and Space Science Institute and the University of Texas at Austin. The compact white-pupil design of the instrument optics includes five cryogenic flat mirrors including a slit mirror, an input fold mirror, a dichroic mirror, and H&K camera fold mirrors. In this study, we introduce the optomechanical mount designs of the five cryogenic mirrors. In order to meet the structural stability and thermal requirements of the mount models, we conducted the design work with the aid of 3-dimensional computer modeling and the finite element analysis (FEA) method. We also present the actual fabricated parts and assemblies of the mounts and mirrors as well as their CAD models.

• Bulletin of the Korean Mathematical Society
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• v.60 no.3
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• pp.705-715
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• 2023

In this paper, we present some new properties for p-biharmonic hypersurfaces in a Riemannian manifold. We also characterize the p-biharmonic submanifolds in an Einstein space. We construct a new example of proper p-biharmonic hypersurfaces. We present some open problems.

• Transactions on Control, Automation and Systems Engineering
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• v.3 no.1
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• pp.21-26
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• 2001

In this study, we propose a two degree of freedom robust output tracking control method for a class of nonlinear system. We consider hyperbolically nonminimum phase single-input single-output uncertain nonlinear systems. We also consider the case that the nominal input-state equation is differentially flat. Nominal stable state trajectory is obtained in the flat output space via the flat output. Nominal feedforward control input is also computed from the nominal state trajectory. Due to the nature of the method, the generated flat output trajectory and control input are noncausal. Robust feedback control is designed to stabilize the systems around the nominal trajectory. A numerical example is given is given to demonstrate that robust tracking is achieved.

• Current Optics and Photonics
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• v.1 no.4
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• pp.344-350
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• 2017

We present a new design approach and an example design for an image-space telecentric two-mirror system that has a fast f-number and a wide-field line image. The initial design of the telecentric mirror system is a conventional axially symmetric system, consisting of a flat primary mirror with fourth-order aspheric deformation and an oblate ellipsoidal secondary mirror to correct spherical aberration, coma, and field curvature. Even though in the optimized design the primary mirror is tilted, to avoid ray obstruction by the secondary mirror, the image-space telecentric two-mirror system shows quite good imaging performance, for a line imager.

• Journal of Astronomy and Space Sciences
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• v.11 no.2
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• pp.208-231
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• 1994

We have undertaken CCD observations of fie이 standard stars with H$\beta$ photometric system to investigate the reliability of H$\beta$ CCD photometry. Flat fielding with dome flat and sky flat for H$\beta$w and H$\beta$n filter was compared with that of B filter in UBV system and, from these, we have not found any difference. It was confirmed that there is a good linear relationship between our H$\beta$ values observed with 2.3m reflector and standard values. However, H$\beta$ values observed with 60cm reflector at Sobaeksan Astronomy Observatory showed very poor relationship. To investigate the accuracy of H$\beta$ CCD photometry for fainter objects, open cluster NGC2437 was observed and reduced with DoPHOT, and the results were compared with those for photoelectric photometry of Stetson(1981).