• Kyungpook Mathematical Journal
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• 제59권1호
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• pp.73-82
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• 2019

In this work, we give necessary and sufficient conditions under which every solution of a class of first-order neutral differential equations of the form $$(x(t)+p(t)x({\tau}(t)))^{\prime}+q(t)Hx({\sigma}(t)))=0$$ either oscillates or converges to zero as $t{\rightarrow}{\infty}$ for various ranges of the neutral coefficient p. Our main tools are the Knaster-Tarski fixed point theorem and the Banach's contraction mapping principle.

• 국제강구조저널
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• 제18권5호
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• pp.1754-1760
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• 2018

The present article showcases a temperature dependent cohesive zone model (CZM)-based fi nite element simulation of drop weight tear test (DWTT), to analyse fracture behavior of pipeline steel (PS) at different temperatures. By co-relating the key CZM parameters with known mechanical properties of PS at varying temperature, a temperature dependent CZM for PS is proposed. A modified form of Johnson and Cook model has been used for the true stress-strain behavior of PS. The numerical model, using Abaqus/CAE 6.13, has been validated by comparing the predicted results with load-displacement curves obtained from test data. During steady-state crack propagation, toughness parameters (such as CTOA and CTOD) were found to remain fairly constant at a given temperature. These toughness parameters, however, show an exponential increase with increase in temperature. The present paper offers a plausible approach to numerically analyze fracture behavior of PS at varying temperature using a temperature dependent CZM.

• International Journal of Internet, Broadcasting and Communication
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• 제14권2호
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• pp.23-29
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• 2022

To improve spectrum and energy efficiency in the fifth generation (5G) wireless channels, intelligent reflecting surface (IRS) transmissions have been envisioned, possibly towards the sixth generation (6G) networks. In this paper, we analyze the bit-error rate (BER) performance of intelligent reflecting surface (IRS) assisted non-orthogonal multiple access (NOMA) systems. First, we derive a closed-form expression of the BER in terms of Q functions. Then we analyze the BER improvement of the IRS NOMA system over the conventional NOMA system with respect to the power allocation. Furthermore, we also demonstrate numerically the BER improvement of the IRS NOMA network over the conventional NOMA network in respect of the number of reflecting devices.

• East Asian mathematical journal
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• 제25권4호
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• pp.481-486
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• 2009

The first object of this note is to show that a summation formula due to Padmanabham for three-variables hypergeometric function $X_8$ introduced by Exton can be proved in a different (from Padmanabham's and his observation) yet, in a sense, conventional method, which has been employed in obtaining a variety of identities associated with hypergeometric series. The second purpose is to point out that one of two seemingly new hypergeometric identities due to Exton was already recorded and the other one is easily derivable from the first one. A corrected and a little more compact form of a general transform involving hypergeometric functions due to Exton is also given.

• Journal of Information Processing Systems
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• 제18권6호
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• pp.803-812
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• 2022

With the increasing number of mobile device users worldwide, utilizing mobile edge computing (MEC) devices close to users for content caching can reduce transmission latency than receiving content from a server or cloud. However, because MEC has limited storage capacity, it is necessary to determine the content types and sizes to be cached. In this study, we investigate a caching strategy that increases the hit ratio from small base stations (SBSs) for mobile users in a heterogeneous network consisting of one macro base station (MBS) and multiple SBSs. If there are several SBSs that users can access, the hit ratio can be improved by reducing duplicate content and increasing the diversity of content in SBSs. We propose a Deep Q-Network (DQN)-based caching strategy that considers time-varying content popularity and content redundancy in multiple SBSs. Content is stored in the SBS in a divided form using maximum distance separable (MDS) codes to enhance the diversity of the content. Experiments in various environments show that the proposed caching strategy outperforms the other methods in terms of hit ratio.

• International Journal of Internet, Broadcasting and Communication
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• 제15권4호
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• pp.84-89
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• 2023

Recently, the sixth generation (6G) networks have become tremendous research topics. Intelligent reflecting surface (IRS) technologies have been envisioned, to increase spectrum and energy efficiency for the fifth generation (5G) mobile networks, towards the sixth generation (6G) communications. In this paper, especially for the strongest channel gain user, we investigate the bit-error rate (BER) of non-orthogonal multiple access (NOMA) systems with intelligent reflecting surface (IRS). First, we derive a BER expression in a closed-form of Q functions. Second, we investigate the BER performance improvement of IRS NOMA systems over NOMA systems versus the power allocation. Moreover, we analyze the BER performance improvement of IRS NOMA systems over NOMA systems versus the number of IRS devices. In results, NOMA equipped with IRS technologies could play an important role in the paradigm shift from 5G mobile networks to 6G mobile networks.

• Kyungpook Mathematical Journal
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• 제64권2호
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• pp.303-309
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• 2024

An imaginary bicyclic biquadratic number field K is a field of the form ${\mathbb{Q}}({\sqrt{-m}},{\sqrt{-n}})$ where m and n are squarefree positive integers. The ideal class number h_K of K is the order of the abelian group I_K/P_K, where I_K and P_K are the groups of fractional and principal fractional ideals in the ring of integers 𝒪_K of K, respectively. This provides a measure on how far is 𝒪_K from being a PID. We determine all imaginary bicyclic biquadratic number fields with class number 5. We show there are exactly 243 such fields.

• 한국환경생태학회지
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• 제24권5호
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• pp.582-590
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• 2010

백두대간에 대한 관심은 현황조사 및 분석, 관리 및 복원 방안 등 다양한 연구결과를 도출한 반면, 지맥인 정맥에 대한 관심은 증가하고 있으나 현황연구는 없는 상태이다. 본 연구는 향후 관리 및 복원방안을 제안하기 위한 기초연구로서 낙동정맥 중 용소골의 식생구조를 밝히고자 $10m{\times}10m(100m^2)$ 조사구 30개소를 설치하여 조사하였다. 상대우점치 및 평균상대우점치에 의한 군집분류 결과 소나무군집, 박달나무군집, 황철나무군집, 신갈나무군집, 굴참나무군집의 5개 유형이 용소골 계곡을 대표하는 군집이었다. 소나무군집은 능선부에 주로 분포하며 꼬리진달래가 출현하는 것이 특징이었고 박달나무군집은 참나무류와 경쟁을 피할 수 있는 능선부 급경사지와 완만한 전석지에 분포하였다. 단위면적당($400m^2$) 종다양도는 0.7914~0.9442이었으며 수령은 30~115년으로 층위구조가 형성된 보호가치가 있는 숲이었다.

• 한국산림과학회지
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• 제89권5호
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• pp.666-676
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• 2000

굴참나무 천연집단의 형태적 변이(엽형 특성)를 연구하기 위하여 위도, 경도, 해발고 및 지리적 특성을 고려하여 19개 집단을 선발하였다. 각 집단별로 30개체를 대상으로 개체목당 수관 1/3 하단부에서 60개의 엽을 고르게 채집하여 엽신장, 최대엽폭, 엽맥수 및 엽병장을 조사한 후 그 값을 이용하여 엽신장/최대엽폭, 엽신장/엽병장, 상1/3폭/최대엽폭, 상1/3폭/하1/3폭 및 엽병장/엽맥수에 대한 형상비를 계산하여 엽형 특성에 대한 변이를 조사한 결과는 다음과 같다. 1. 엽신장/최대엽폭, 엽신장/엽병장, 엽병장/엽맥수, 상1/3폭/최대엽목, 상1/3폭/하1/3폭, 엽병장 및 엽맥수에 대한 변이는 집단간 및 집단내의 개체간에 고도의 유의적인 차이를 보였다. 특히, 분산기여도는 집단간보다 집단내의 개체간에 큰 것으로 나타나, 굴참나무의 연구는 집단보다 개체에 의한 연구가 바람직할 것으로 보여진다. 2. 엽형특성에 대한 주성분 분석은 첫 두 주성분까지의 적재 가여율이 80.5%로 굴참나무 엽형특성 분류에 중요한 정보를 주는 요인이었다. 각 인자별 기여도에 있어서는 제1주성분에서 엽병장/엽맥수 및 엽병장, 제2주성분에서 상1/3폭/최대엽폭, 상1/3폭/하1/3폭 및 엽맥수 인자가 높은 기여도를 나타냈다. 3. 위도, 경도 및 해발고에 따른 엽형특성에 대한 지리적 변이는 위도에 있어 엽신장/최대엽폭 및 엽신장/엽병장에 대해서는 정의 상관을 나타내었으며, 나머지 특성(엽병장/엽맥수, 상1/3폭/최대엽목, 상1/3폭/하1/3폭, 엽병장 및 엽맥수)들에 대해서는 부의 상관을 나타내었다. 그러나 경도와 해발고는 위도와 반대의 경향을 나타내었다. 4. 군집분석(Complete linkage cluster)한 결과는 거리지수 1.6에서 2개의 그룹 즉, I그룹(Pop. 1, 4, 5 및 13)과 II그룹(Pop. 2, 3, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18 및 19)으로 나뉘었으며, 거리지수 1.3에서는 II그룹이 다시 Pop. 3, 7, 10, 14, 15 및 17의 군집(II-1)과 Pop. 2, 6, 8, 9, 11, 12, 16, 18, 19의 군집(II-2)으로 나뒤어 총 3그룹으로 분리되었다. 대체적으로 이것은 사면의 방향에 대하여 I그룹은 북동면에, II-1그룹은 남동면에, 그리고 II-2그룹은 남서면에 집단이 위치하고 있어 환경조건이나 입지조건의 차이에 의하여 일어난 자연도태의 결과로 집단간 차이를 보이는 것으로 사료된다.

• 대한의용생체공학회:의공학회지
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• 제43권5호
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• pp.331-340
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• 2022

Early afterdepolarization (EAD), a significant cause of fatal ventricular arrhythmias including Torsade de Pointes (TdP) in long QT syndromes, is a depolarizing afterpotential at the plateau or repolarization phase in action potential (AP) profile early before completing one pace. AP duration prolongation is related to EAD but is not necessarily accounted for EAD. Several computational studies suggested EAD can form from an abnormality in the late plateau and/or repolarization phase of AP shape. In this sense, we hypothesized the slope during repolarization has the characteristics to predict TdP risk, mainly focusing on the maximum slope during repolarization (dVm/dt_{max_repol}). This study aimed to predict the sensitivity of dVm/dt_{max_repol} to ion channel conductances as a TdP risk metric through a population simulation considering multiple effects of simultaneous reduction in six ion channel conductances of g_NaL, g_Kr, g_Ks, g_to, g_K1, and g_CaL. Additionally, we verified the availability of dVm/dt_{max_repol} for TdP risk prediction through the correlation analysis with qNet, the representative TdP metric. We performed the population simulations based on the methodology of Gemmel et al. using the human ventricular myocyte model of Dutta et al. Among the sixion channel conductances, dVm/dt_{max_repol} and qNet responded most sensitively to the change in g_Kr, followed by g_NaL. Furthermore, dVm/dt_{max_repol} showed a statistically significant high negative correlation with qNet. The dVm/dt_{max_repol} values were significantly different according to three TdP risk levels of high, intermediate, and low by qNet (p<0.001). In conclusion, we suggested dVm/dt_{max_repol} as a new biomarker metric for TdP risk assessment.