• Bulletin of the Korean Mathematical Society
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• v.58 no.3
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• pp.617-635
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• 2021

Let X be a smooth hypersurface X of degree d ≥ 4 in a projective space ℙⁿ⁺¹. We consider a projection of X from p ∈ ℙⁿ⁺¹ to a plane H ≅ ℙⁿ. This projection induces an extension of function fields ℂ(X)/ℂ(ℙⁿ). The point p is called a Galois point if the extension is Galois. In this paper, we will give necessary and sufficient conditions for X to have Galois points by using linear automorphisms.

• East Asian mathematical journal
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• v.39 no.1
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• pp.11-21
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• 2023

Non-trivial automorphisms of the unit disc in the complex plane can be classified by three classes; elliptic, parabolic and hyperbolic automorphisms. This classification is due to a representation in the projective special linear group of the real field, or in terms of fixed points on the closure of the unit disc. In this paper, we will characterize this classification by the distance function of the Poincaré metric on the interior of the unit disc.

• East Asian mathematical journal
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• v.38 no.3
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• pp.347-355
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• 2022

For a nondegenerate projective variety, it is a classical problem to study its defining equations with respect to a given embedding. In this paper, we precisely determine minimal sets of generators of the defining ideals of some curves of maximal regularity in ℙ⁵.

• Communications of the Korean Mathematical Society
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• v.39 no.2
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• pp.279-302
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• 2024

In this paper, we summarise and present results on involution lengths and commutator lengths of certain linear groups such as special linear groups, projective linear groups, upper triangle matrix groups and Vershik-Kerov groups. Some open problems motivated by these results are also proposed.

• Journal of the Korean Mathematical Society
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• v.61 no.3
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• pp.515-545
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• 2024

Consider a Noetherian domain R₀ with quotient field K₀. Let K be a finitely generated regular transcendental field extension of K₀. We construct a Noetherian domain R with Quot(R) = K that contains R₀ and embed Spec(R₀) into Spec(R). Then, we prove that key properties of abelian varieties and smooth geometrically integral projective curves over K are preserved under reduction modulo p for "almost all" p ∈ Spec(R₀).

• East Asian mathematical journal
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• v.40 no.3
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• pp.287-293
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• 2024

For a nondegenerate irreducible projective variety, it is a classical problem to describe its defining equations and the syzygies among them. In this paper, we precisely determine a minimal generating set and the minimal free resolution of defining ideals of some rational curves of maximal genus in ℙ³.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.18 no.5
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• pp.1103-1109
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• 2014

The motion recognition system has been broadly studied in digital image and video processing fields. Recently, method using th depth image is used very useful. However, recognition accuracy of depth image based method will be loss caused by size and shape of object distorted for angle of the depth sensor. Therefore, distortion correction of depth sensor is positively necessary for distinguished performance of the recognition system. In this paper, we propose a pre-processing algorithm to improve the motion recognition system. Depth data from depth sensor converted to real world, performed the corrected angle, and then inverse converted to projective world. The proposed system make progress using the OpenCV and the window program, and we test a system using the Kinect in real time. In addition, designed using Verilog-HDL and verified through the Zynq-7000 FPGA Board of Xilinx.

• Smart Structures and Systems
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• v.25 no.2
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• pp.135-153
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• 2020

There has been a sustained interest towards the non-contact structural displacement measurement by means of videogrammetric technique. On the way forward, one of the major concerns is the spurious image drift induced by temperature variation. This study therefore carries out an investigation into the temperature effect of videogrammetric technique, focusing on the exploration of the mechanism behind the temperature effect and the elimination of the temperature-caused measurement error. 2D videogrammetric measurement tests under monotonic or cyclic temperature variation are first performed. Features of measurement error and the casual relationship between temperature variation and measurement error are then studied. The variation of the temperature of digital camera is identified as the main cause of measurement error. An excellent linear relationship between them is revealed. After that, camera parameters are extracted from the mapping between world coordinates and pixels coordinates of the calibration targets. The coordinates of principle point and focal lengths show variations well correlated with temperature variation. The measurement error is thought to be an outcome mainly attributed to the variation of the coordinates of principle point. An approach for eliminating temperature-caused measurement error is finally proposed. Correlation models between camera parameters and temperature are formulated. Thereby, camera parameters under different temperature conditions can be predicted and the camera projective matrix can be updated accordingly. By reconstructing the world coordinates with the updated camera projective matrix, the temperature-caused measurement error is eliminated. A satisfactory performance has been achieved by the proposed approach in eliminating the temperature-caused measurement error.

• The Journal of the Convergence on Culture Technology
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• v.4 no.3
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• pp.1-6
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• 2018

With the increase of the elderly population, demand for improvement of quality of life and measurement of mental state has increased. However, much of the self-reported diagnosis does not reflect cognitive impairment. This study aims to measure the dwelling depression by applying K-HTP and verify the validity. 301 persons over 65 years old who live as single and couple households in Daejeon and surrounding districts were surveyed during 22 January to 2 February, 2018. The correlations between the dwelling depression and K-HTP are clarified and the validity was evaluated. The correlations between the geriatric dwelling depression index(GDDI) and the GDDI based on K-HTP(GDDI-K) are clarified and the accuracy was analyzed. The results showed that the K-HTP can be utilized to measure the dwelling depression. We suggested a new measurement tool and provide further benefits for researches on diagnoses using the projective method.

• 한국HCI학회:학술대회논문집
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• 2008.02a
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• pp.130-134
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• 2008

Touch screen phone which is expected to play a big part of the mobile market for the next few years, has many merits but demerits of inaccurate feedback. It offers audio and tactile feedback to strengthen the weak point. This study aims to see if audio feedback and vibration feedback react upon each other under realistic conditions. We had a qualitative research in perception after using touch screen phone feedback. The result showed that with any feedback users were satisfied more than without any feedback and there was diversity in response. We ran the study again to see the performance level and the projective workload between the kind of feedback and interrupting feedback environment Performance rates were faster with audio feedback and according to the projective workload assessment users felt that task was easier and less annoying with audio-vibration feedback. The results suggest that audio feedback could be more effective than vibration feedback. A future study will figure out the relationship between the factors of qualitative-controlled feedback and learning time and the performance, and the main cause to make people prefer one feedback over another in a realistic world.