• Title/Summary/Keyword: discrete group

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CURVATURES ON THE ABBENA-THURSTON MANIFOLD

  • Han, Ju-Wan;Kim, Hyun Woong;Pyo, Yong-Soo
    • Honam Mathematical Journal
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    • v.38 no.2
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    • pp.359-366
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    • 2016
  • Let H be the 3-dimensional Heisenberg group, ($G=H{\times}S^1$, g) a product Riemannian manifold of Riemannian manifolds H and S with arbitrarily given left invariant Riemannian metrics respectively, and ${\Gamma}$ the discrete subgroup of G with integer entries. Then, on the Riemannian manifold ($M:=G/{\Gamma}$, ${\Pi}^*g=\bar{g}$), ${\Pi}:G{\rightarrow}G/{\Gamma}$, we evaluate the scalar curvature and the Ricci curvature.

A Novel Key Sharing Fuzzy Vault Scheme

  • You, Lin;Wang, Yuna;Chen, Yulei;Deng, Qi;Zhang, Huanhuan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.9
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    • pp.4585-4602
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    • 2016
  • A novel key sharing fuzzy vault scheme is proposed based on the classic fuzzy vault and the Diffie-Hellman key exchange protocol. In this proposed scheme, two users cooperatively build their fuzzy vault for their shared key using their own biometrics. Either of the users can use their own biometrics to unlock the fuzzy vault with the help of the other to get their shared key without risk of disclosure of their biometrics. Thus, they can unlock the fuzzy vault cooperatively. The security of our scheme is based on the security of the classic fuzzy vault scheme, one-way hash function and the discrete logarithm problem in a given finite group.

DIGITAL COVERING THEORY AND ITS APPLICATIONS

  • Kim, In-Soo;Han, Sang-Eon
    • Honam Mathematical Journal
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    • v.30 no.4
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    • pp.589-602
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    • 2008
  • As a survey-type article, the paper reviews various digital topological utilities from digital covering theory. Digital covering theory has strongly contributed to the calculation of the digital k-fundamental group of both a digital space(a set with k-adjacency or digital k-graph) and a digital product. Furthermore, it has been used in classifying digital spaces, establishing almost Van Kampen theory which is the digital version of van Kampen theorem in algebrate topology, developing the generalized universal covering property, and so forth. Finally, we remark on the digital k-surface structure of a Cartesian product of two simple closed $k_i$-curves in ${\mathbf{Z}}^n$, $i{\in}{1,2}$.

Types of Changes in Overt Aggression and Their Predictors in Early Adolescents : Growth Mixture Modeling (초기 청소년의 외현적 공격성 변화유형과 예측요인 : 성장혼합모형의 적용)

  • Seo, Mi-Jung;Kim, Kyong-Yeon
    • Korean Journal of Child Studies
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    • v.31 no.3
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    • pp.83-97
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    • 2010
  • Growth mixture modeling was used to identify types of changes in overt aggression from Grades 4 to 7 among a sample from the Korean Youth Panel Survey. Three discrete patterns were found to adequately explain changes of overt aggression in both boys and girls : Persistent intermediate aggression; Increasing aggression; and Decreasing aggression. Most boys (93%) fell into the Persistent intermediate aggression group and 49% of girls were found to fall into the Increasing aggression group. This suggests that prevention programs should recognize that girls are at risk of increasing aggression in their early adolescence. Multinomial logistic regression analysis shows that self-control, child abuse, peer support, and involvement with deviant peers at Grades 4 were all strongly associated with trajectory class membership. These associations did not differ by gender. These findings suggest that prevention programs should focus on the multiple risk factors of both boys and girls.

The Frequency Characteristics of Elastic Wave by Crack Propagation of SiC/SiC Composites

  • Kim, J.W.;Nam, K.W.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2012.10a
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    • pp.110-114
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    • 2012
  • We studied on the nondestructive evaluation of the elastic wave signal of SiC ceramics and SiC/SiC composite ceramics under monotonic tensile loading. The elastic wave signal of cross and unidirectional SiC/SiC composite ceramics were obtained by pencil lead method and bending test. It was applied for the time-frequency method which used by the discrete wavelet analysis algorithm. The time-frequency analysis provides time variation of each frequency component involved in a waveform, which makes it possible to evaluate the contribution of SiC fiber frequency. The results were compared with the characteristic of frequency group from SiC slurry and fiber. Based on the results, if it is possible to shift up and design as a higher frequency group, we will can make the superior material better than those of exiting SiC/SiC composites.

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Design of a See-Through Head-Mounted Display with a Freeform Surface

  • Wang, Junhua;Liang, Yuechao;Xu, Min
    • Journal of the Optical Society of Korea
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    • v.19 no.6
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    • pp.614-618
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    • 2015
  • This paper described an off-axis head-mounted display system. It is composed of a 7-piece coaxial relay lens group and a freeform surface combiner. This configuration has a simple structure and a wide field of view (FOV). In this design, a freeform surface is chosen as the combiner, to simplify the structure and attain good image quality. We generated this freeform surface by considering both coordinates and normals of discrete data points. Moreover, we realize a coaxial structure in the relay lens group, which is compact and benefits from a loose tolerance requirement. The HMD system we finally realized has a 40° × 30° FOV and 15-mm exit pupil diameter.

Seismic design of steel frames using multi-objective optimization

  • Kaveh, A.;Shojaei, I.;Gholipour, Y.;Rahami, H.
    • Structural Engineering and Mechanics
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    • v.45 no.2
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    • pp.211-232
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    • 2013
  • In this study a multi-objective optimization problem is solved. The objectives used here include simultaneous minimum construction cost in term of sections weight, minimum structural damage using a damage index, and minimum non-structural damage in term of inter-story drift under the applied ground motions. A high-speed and low-error neural network is trained and employed in the process of optimization to estimate the results of non-linear time history analysis. This approach can be utilized for all steel or concrete frame structures. In this study, the optimal design of a planar eccentric braced steel frame is performed with great detail, using the presented multi-objective algorithm with a discrete population and then a moment resisting frame is solved as a supplementary example.

A Survey of Public-Key Cryptography over Non-Abelian Groups

  • Lanel, G.H.J.;Jinasena, T.M.K.K.;Welihinda, B.A.K.
    • International Journal of Computer Science & Network Security
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    • v.21 no.4
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    • pp.289-300
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    • 2021
  • Non-abelian group based Cryptography is a field which has become a latest trend in research due to increasing vulnerabilities associated with the abelian group based cryptosystems which are in use at present and the interesting algebraic properties associated that can be thought to provide higher security. When developing cryptographic primitives based on non-abelian groups, the researchers have tried to extend the similar layouts associated with the traditional underlying mathematical problems and assumptions by almost mimicking their operations which is fascinating even to observe. This survey contributes in highlighting the different analogous extensions of traditional assumptions presented by various authors and a set of open problems. Further, suggestions to apply the Hamiltonian Cycle/Path Problem in a similar direction is presented.

Effect Analysis of Tillage Depth on Rotavator Shaft Load Using the Discrete Element Method (이산요소법을 활용한 경심이 로타리 작업기의 경운날 축 부하에 미치는 영향 분석)

  • Bo Min Bae;Dae Wi Jung;Dong Hyung Ryu;Jang Hyeon An;Se O Choi;Yeon Soo Kim;Sang Dae Lee;Seung Je Cho
    • Journal of Drive and Control
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    • v.20 no.4
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    • pp.115-122
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    • 2023
  • This study utilized a discrete element method (DEM) simulation, as one of the virtual field trials, to predict the impact of tillage depth on the rotary blade shaft during rotavator tilling. The virtual field for the simulation was generated according to soil properties observed in an actual field. Following the generation of particles for the virtual field, a sequence of calibration steps followed to align the mechanical properties more closely with those of real soil. Calibration was conducted with a focus on bulk density and shear torque, resulting in calibration errors of just 0.02% for bulk density and 0.52% for shear torque. The prediction of the load on a rotary tiller's blade shaft involved a three-pronged approach, considering shaft torque, draft force, and vertical force. In terms of shaft torque, the values exhibited significant increases of 42.34% and 36.91% for every 5-centimeter increment in tillage depth. Similarly, the vertical force saw substantial growth by 40.41% and 36.08% for every 5-centimeter increment. In contrast, the variation in draft force based on tillage depth was comparatively lower at 18.49% and 0.96%, indicating that the effect of tillage depth on draft force was less pronounced than its impact on shaft torque and vertical force. From a perspective of agricultural machinery research, this study provides valuable insights into the DEM soil modeling process, accounting for changes in soil properties with varying tillage depths. These findings are expected to be instrumental in future agricultural machinery design studies.

Effects of Aquatic Exercise on Vestibulo-motor and Expression of GAP-43 in Diffuse brain Injury Rats (수중운동이 미만성 뇌손상 백서의 전정-운동 및 GAP-43 발현에 미치는 영향)

  • Yang, Seung-Hoon
    • The Journal of the Korea Contents Association
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    • v.9 no.12
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    • pp.656-664
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    • 2009
  • The purposes of this study were to examine whether aquatic exercise has influence on the neuroplasticity and vestibulo-motor function in diffuse brain injury rats. 80 Sprague-Dawley rats were assigned to four groups; Group I: control group (n=20), Group II: aquatic exercise (n=20), Group III: treadmill exercise with change of velocity and inclination (n=20), Group IV: simple treadmill exercise (n=20). And we applied exercise each groups for 3 weeks except Group I. Before the rats were sacrificed to identify immunohistochemistry study at each time of measurement day, Rota-Rod test was given to assess changes in vestibulomotor function. then, the immunohistochemistry study of GAP-43 in discrete regions of the rat brain was performed to measure changes in neuroplasticity. The results demonstrate that aquatic exercise group is more effective than other groups. expression of GAP-43 and vestibulo-motor function were increased most in aquatic exercise group. Therefore, this study suggest that aquatic exercise may effective therapeutic approach to increase neuroplasticity and vestibulo-motor function in traumatic brain injury.