• Bulletin of the Korean Mathematical Society
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• v.54 no.3
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• pp.731-736
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• 2017

It is well-known that there exists a constant-weight $[s{\theta}_{k-1},k,sq^{k-1}]_q$ code for any positive integer s, which is an s-fold simplex code, where ${\theta}_j=(q^{j+1}-1)/(q-1)$. This gives an upper bound $n_q(k,sq^{k-1}+d){\leq}s{\theta}_{k-1}+n_q(k,d)$ for any positive integer d, where $n_q(k,d)$ is the minimum length n for which an $[n,k,d]_q$ code exists. We construct a two-weight $[s{\theta}_{k-1}+1,k,sq^{k-1}]_q$ code for $1{\leq}s{\leq}k-3$, which gives a better upper bound $n_q(k,sq^{k-1}+d){\leq}s{\theta}_{k-1}+1+n_q(k-1,d)$ for $1{\leq}d{\leq}q^s$. As another application, we prove that $n_q(5,d)={\sum_{i=0}^{4}}{\lceil}d/q^i{\rceil}$ for $q^4+1{\leq}d{\leq}q^4+q$ for any prime power q.

• East Asian mathematical journal
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• v.39 no.3
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• pp.279-290
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• 2023

We study divisibilities of elements in the q-commuting matrix C^(q). We first make a coefficient matrix Ĉ of C^(q) which is independent of q, study divisibilities over Ĉ and then retrieve our findings to C^(q). Finally we partition the C^(q) into 2 × 2 block matrices.

• Kyungpook Mathematical Journal
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• v.47 no.3
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• pp.381-392
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• 2007

In 1906, da Rios, a student of Leivi-Civita, wrote a master's thesis modeling the motion of a vortex in a viscous fluid by the motion of a curve propagating in $R^3$, in the direction of its binormal with a speed equal to its curvature. Much later, in 1971 Hasimoto showed the equivalence of this system with the non-linear Schr$\ddot{o}$dinger equation (NLS) $$q_t=i(q_{ss}+\frac{1}{2}{\mid}q{\mid}^2q$$. In this paper, we use the same idea as Terng used in her lecture notes but different technique to extend the above relation to the case of $R^3$, and obtained an analogous equation that $$q_t=i[q_{ss}+(\frac{1}{2}{\mid}q{\mid}^2+1)q]$$.

• Journal of Auto-vehicle Safety Association
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• v.7 no.3
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• pp.7-13
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• 2015

Occupant protection performance in frontal crashes has been developed and assessed for mainly front seat occupants over many years, and in recent years protection of rear seat occupants has also been extensively discussed. Unlike the front seats, the rear seats are often occupied by children seated in rear-facing or forward - facing child restraint systems, or booster seats. In the ENCAP, child occupant protection assessments using 18-month-old(P1.5) and 3-year-old(P3) test dummies in the rear seat have already been changed to new type of 18-month-old (Q1.5)and 3-year-old(Q3) test dummies. In addition, ENCAP are scheduled with the development and introduction of test dummies of 6-year-old (Q6) and 10.5-year-old children(Q10) starting 2016. In KNCAP, Q6 and Q10 child dummies will be introduced in 2017 as well. Automobile manufacturers need to develop safety performance for new child dummies closely. In this paper, we focused on Q6 and Q10 child dummies sitting in child restraint system. Offset frontal crash tests were conducted using two types of test dummies, Q6 and Q10 child dummies, positioned in the rear seat. Q6 and Q10 were used to compare dummy kinematics in rear seating positions between Q6 behind the driver's seat and Q10 behind the front passenger's seat. The full vehicle sled test results of both dummies were conducted with different restraint systems. It showed that several injury and image data was collected as the result of the full vehicle sled test. Based on the results of these investigations, this paper describes which factor is most important and combination is the best performance when evaluating rear seat occupant protection for Q6 and Q10 child dummies.

• The Journal of Engineering Geology
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• v.28 no.1
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• pp.11-24
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• 2018

The purpose of slope stability analysis is to predict the location and occurrence time considering the rainfall, topographic and soil characteristics, etc. In this study, infinite slope stability analysis considering the time distribution characteristics of the daily maximum rainfall was conducted using a model that combines a digital terrain model and a groundwater flow model. As the results of slope stability analysis, 69.1~70.0% of Fs < 1 cells are in the range of slope angle $20{\sim}50^{\circ}$ and Fs < 1 starts to appear in 2 hours for $Q_1$ model, 5 hours for $Q_2$, 7 hours for $Q_3$ and 6 hours for $Q_4$. Furthermore, the maximum number of Fs < 1 cells appear in 6 hours for $Q_1$ model, 12 hours for $Q_2$, 16 hours for $Q_3$ and 20 hours for $Q_4$, and the area of Fs < 1 is 14.3% for $Q_1$ model, 15.0% for $Q_2$, 15.6% for $Q_3$, and 16.3% for $Q_4$.

• Journal of the Korean Dietetic Association
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• v.17 no.3
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• pp.313-326
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• 2011

This study was performed to investigate the relationship between milk and milk product consumption and dietary nutrient intake among Korean adolescents. Questionnaire survey and 3-day diet survey using the food record method were completed by a total of 664 subjects. Subjects were divided into three groups, Q1 (low group), Q2 (middle group), and Q3 (high group), according to dairy equivalent of calcium. Dairy equivalent of calcium was determined by the amount of calcium eaten from milk and milk products by individual subjects. As a result, the ratio of school milk service was higher in Q3 (P<0.001). The most frequent answer about the reason for consuming milk and milk products was 'to be taller' followed by 'good taste' and 'health promotion'. Preference for all types of milk such as white-, enriched-, and flavored-milk was higher in Q3 followed by Q2>Q1 (P<0.05). Ratio of mean daily dietary nutrient intakes of dietary fiber, vitamin C, folate, and calcium to RNI was lower than 2/3 for all of the groups. These mean daily dietary nutrient intakes were significantly higher in Q3 (P<0.05), and in particular, mean daily dietary calcium intake, which was the lowest nutrient consumed by Korean adolescents, was also the highest in Q3 followed by Q2>Q1 (P<0.05). The above results suggest that the school milk program is very helpful in encouraging adolescents to consume milk and milk products and consequently ensure their optimal nutrition. Therefore, we should try to encourage adolescents to participate in the school milk program more actively through nutritional education and government policy.

• The Journal of Natural Sciences
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• v.18 no.1
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• pp.9-16
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• 2007

The electro-optic Q-switching device for medical high power laser depends on the relation between the population inversion and the Q-switching time. The polarization changes in applied voltage must be experimented to use each $LiNbO_3$ crystal for Q-switching in high power laser.

• The Korean Journal of Ecology
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• v.21 no.3
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• pp.283-290
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• 1998

The vegetation pattern of Mt. Odae based on the soil humidity gradient showed 3 types: (1) the forest of Pinus densiflora under the mesic or xeric conditions of the low altitudinal area, (2) the forest of Acer including A. mono, A. pseudo-sieboldianum and Tilia amurensis under the submesic or subxeric conditions and (3) the forest of Quercus including Q. mongolica of the higher elevational area and Q. variabilis of the lower elevational area under the xeric condition. Water content, organic matter and total nitrogen of soil were relatively low in Pinus densiflora and Quercus variabilis communities while they were relatively high in Betula platyphylla var. japonica and Quercus mongolica communities. According to the result of cluster analysis based on similarity indices of the communities, the proposed successional sere in the forest vegetation of Mt. Odae was as follows. P. densiflora community $\longrightarrow$ P. densiflore + Q. mongolica community $\longrightarrow$ Q. mongolica + A. pseudo-sieboldianum community. P. densiflora community $\longrightarrow$ P. densiflora + Q. variabilis community $\longrightarrow$ Q. variabilis community $\longrightarrow$ Q. mongolica + Q. variabilis community $\longrightarrow$ Q. mongolica + A. pseudo-sieboldianum community.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.12 no.1
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• pp.21-32
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• 2002

In this paper, for any prime q, new cyclic difference sets with Singer parameter equation omitted are constructed by using the q-ary sequences (d-homogeneous functions) of period $q_n$-1. When q is a power of 3, new cyclic difference sets with Singer parameter equation omitted are constructed from the ternary sequences of period $q_n$-1 with ideal autocorrealtion found by Helleseth, Kumar and Martinsen.

• Kyungpook Mathematical Journal
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• v.54 no.3
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• pp.463-469
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• 2014

In this paper, we construct new q-extension of Euler polynomials with weight 0. These modified q-Euler polynomials are useful to study various identities of Carlitz's q-Bernoulli numbers.