• East Asian mathematical journal
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• v.28 no.3
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• pp.333-337
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• 2012

Finiteness of regular normal binary Hermitian lattices are known in several articles. In this article, we point out that there are infinitely many imaginary quadratic fields that admit a regular subnormal binary Hermitian lattice.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.1
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• pp.213-219
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• 2013

A class invariant is the value of a modular function that generates a ring class field of an imaginary quadratic number field such as the singular moduli of level 1. In this paper, we compute the Galois actions of a class invariant from a generalized Weber function $g_1$ over imaginary quadratic number fields with discriminant $D{\equiv}64(mod72)$.

• Proceedings of the Earthquake Engineering Society of Korea Conference
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• 1998.10a
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• pp.157-162
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• 1998

Dynamic loads may arise from rotating parte of pump if they are insufficiently balanced. The magnitude of pump induced vibrations varies according to the weight, eccentricity, and unbalanced mass of pump. This is a study to estimate the pump induced vibration in time and frequency domain by transfer function. The transfer function has real and imaginary information of signals, and response function has also real and imaginary information. So the vibration force can be obtained from the response and transfer function by complex calculation. The amplitudes and components of 50Hp pump vibration force are suggested.

• Journal of the Chungcheong Mathematical Society
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• v.34 no.4
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• pp.317-326
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• 2021

Let K be an imaginary quadratic field other than ℚ(${\sqrt{-1}}$) and ℚ(${\sqrt{-3}}$), and let 𝒪_K be its ring of integers. Let N be a positive integer such that N = 5 or N ≥ 7. In this paper, we generate the ray class field modulo N𝒪_K over K by using a single x-coordinate of an elliptic curve with complex multiplication by 𝒪_K.

• East Asian mathematical journal
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• v.40 no.1
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• pp.95-107
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• 2024

Let K be an imaginary quadratic field with ring of integers 𝓞_K and N be a positive integer. By K_(N) we mean the ray class field of K modulo N𝓞_K. In this paper, for each prime p of K relatively prime to N𝓞_K we explicitly describe the action of the Artin symbol (${\frac{K_{(N)}/K}{p}}$) on special values of modular functions of level N. Furthermore, we extend the Kronecker congruence relation for the elliptic modular function j to some modular functions of higher level.

• Journal of Periodontal and Implant Science
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• v.45 no.6
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• pp.216-222
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• 2015

Purpose: After extraction, the alveolar bone tends to undergo atrophy in three-dimensions. The amount of alveolar bone loss in the horizontal dimension has been reported to be greater than the amount of bone loss in the vertical dimension, and is most pronounced in the buccal aspect. The aim of this study was to monitor the predictive alveolar bone level following the extraction of anterior teeth seriously involved with advanced chronic periodontitis. Methods: This study included 25 patients with advanced chronic periodontitis, whose maxillary anterior teeth had been extracted due to extensive attachment loss more than one year before the study. Periapical radiographs were analyzed to assess the vertical level of alveolar bone surrounding the edentulous area. An imaginary line connecting the mesial and the distal ends of the alveolar crest facing the adjacent tooth was arbitrarily created. Several representative coordinates were established in the horizontal direction, and the vertical distance from the imaginary line to the alveolar crest was measured at each coordinate for each patient using image analysis software. Regression functions predicting the vertical level of the alveolar bone in the maxillary anterior edentulous area were identified for each patient. Results: The regression functions demonstrated a tendency to converge to parabolic shapes. The predicted maximum distance between the imaginary line and the alveolar bone calculated using the regression function was $1.43{\pm}0.65mm$. No significant differences were found between the expected and actual maximum distances. Likewise, the predicted and actual maximum horizontal distances did not show any significant differences. The distance from the alveolar bone crest to the imaginary lines was not influenced by the mesio-distal spans of the edentulous area. Conclusions: After extraction, the vertical level of the alveolar ridge increased to become closer to the reference line connecting the mesial and distal alveolar crests.

• Journal of Biomedical Engineering Research
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• v.28 no.4
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• pp.520-529
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• 2007

An efficient method for implementing image reconstruction algorithms for Compton cameras is presented. Since Compton scattering formula establishes a cone surface from which the incident photon must have originated, it is crucial to implement a computationally efficient cone-surface integration method for image reconstruction. In this paper we assume that a cone is made up of a series of ellipses (or circles) stacked up one on top of the other. In order to reduce computational burden for tracing ellipses formed by the intersection of a cone and an image plane, we propose a new method using a series of imaginary planes perpendicular to the cone axis so that each plane contains a circle, not an ellipse. In this case the cone surface integral can be performed by simply accumulating the circles along the cone axis. To reduce the computational cost of tracing circles, only one of the circles in the cone is traced and the rest are determined by using simple trigonometric ratios. For our experiments, we used the three different schemes for tracing ellipses; (i) using the samples generated by the ellipse equation, (ii) using the fixed number of samples along a circle on the imaginary plane, and (iii) using the fixed sampling interval along a circle on the imaginary plane. We then compared performance of the above three methods by applying them to the two reconstruction algorithms - the simple back-projection method and the expectation-maximization algorithm. The experimental results demonstrate that our proposed methods (ii) and (iii) using imaginary planes significantly improve reconstruction accuracy as well as computational efficiency.

• Journal of the Korea institute for structural maintenance and inspection
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• v.12 no.1
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• pp.183-192
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• 2008

Generally, application of steel pipe pile as deep foundation member needs special requirement for the connection method between steel pipe pile and concrete footing. Even though two types of connection method are suggested in the korea highway bridge code, type-B method is prevalent. In this study, vertical, lateral, and tension loading test are done for two types of type B connection to review stress concentration, formation and behavior of imaginary RC column in the footing. Welding type and hook type as the connection method are considered in this study. Test results show that welding type have the more reserve capacity than hook type and the specimens connected by the welding type behave as the imaginary RC column in the footing. However, the specimens connected by the hook type did not behave as the imaginary RC column in the footing but behave as the hinge.

• Journal of Popular Narrative
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• v.25 no.4
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• pp.361-395
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• 2019

This paper take a media archaeological approach to cinema transformed into a narrative medium during its transitional period, 1903-1915. To accomplish this, I will explore the question of as which narrative medium cinema was imagined and also how it was institutionalized as a narrative medium with authorship. I will explain that the imaginary and real ideas and changes on cinema resonated with each other on the foundation of its technological aspects such as indexicality, 23 frames/sec. and montage. It was during the transitional period that cinema was transformed from a medium representing spectacle to a medium of narration. The establishment of the American film copyright law in 1912 was an institutional, real outcome from the contemporary understanding of cinema as a narrative medium. At the same time, various ideas emerged that led to imagining of cinema as a complete narrative medium, incomparable to any other. From a media archaeological perspective, the imaginary ideas of media resonate with their actual course of development. These imaginary ideas are not just imaginary, but rather reflect the contemporary desire for the medium. This paper looks into the transitional period based on this media archaeological point of view. To this end, this paper will briefly introduce the notion of media archaeology as a media theory and then discuss Eric Kluitenberg's concept of 'an archaeology of imaginary media' and its methodologies. Second, it will explore literary and cinematic imagining of cinema as a powerful medium of storytelling, while discussing the ways in which cinema's technological characteristics played a decisive role in these imaginings. Also to show the techno-deterministic role of cinema in the real world, this paper will explore how its technological characteristics were considered as an important element in the processes through which America's first motion picture copyright was institutionalized in 1912 after two historical copyright cases: one is Edison v. Lubin in 1903 and Kalem v. Harper Brothers in 1909. Ultimately, this paper will lead us to an understanding of the history of cinema as a medium and its developments in more multi-layed way, as communication between the real and imaginary, and give us perspectives toward what cinema is.

• Journal of the Korean Association of Geographic Information Studies
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• v.11 no.1
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• pp.105-115
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• 2008

In this study, we wished to forecast the damage district by tsunami's occurrence. For this, we analyzed tsunami that can happen in our country's neighborhood coast using past data, and established tsunami's scenario by imagination with analysis result. we created a 3D topographical model about study area and analyzed an inundation area by achieving simulation by scenario. Also, we produced an imaginary inundation map by overlaying the simulation results on digital map. This study result might be utilized as infra-technology for operation of tsunami's forecast/alarm system and establishment of disaster prevention policy.