• 대한수학회보
• /
• 제47권4호
• /
• pp.675-685
• /
• 2010

In this paper, we consider a new class of regularized (nonconvex) generalized mixed variational inequality problems in real Hilbert space. We give the concepts of partially relaxed strongly mixed monotone and partially relaxed strongly $\theta$-pseudomonotone mappings, which are extension of the concepts given by Xia and Ding [19], Noor [13] and Kazmi et al. [9]. Further we use the auxiliary principle technique to suggest a two-step iterative algorithm for solving regularized (nonconvex) generalized mixed variational inequality problem. We prove that the convergence of the iterative algorithm requires only the continuity, partially relaxed strongly mixed monotonicity and partially relaxed strongly $\theta$-pseudomonotonicity. The theorems presented in this paper represent improvement and generalization of the previously known results for solving equilibrium problems and variational inequality problems involving the nonconvex (convex) sets, see for example Noor [13], Pang et al. [14], and Xia and Ding [19].

• 대한의생명과학회지
• /
• 제18권4호
• /
• pp.428-434
• /
• 2012

Epilepsy is a chronic neurological disease showing a symptom of repeated seizures without any other physical disorders. Among the diagnostic examination for epilepsy, the electroencephalogram (EEG) has been known as an important test. This study aimed to investigate the EEG with photic stimulation in the pediatric epilepsy patients. They underwent digital sleep and waking EEGs or waking EEGs with photic stimulation. Epilepsy type, seizure history, and season of occurring seizure were analyzed. Epilepsy patients showed more response during the period of photic-on and eye close at the frequency of 10~20 Hz during the EEG activation procedure. Photoparoxysmal response (PPR) was shown in 206 patients out of total 1,551 epilepsy patients. PPR was appeared more frequently during summer and winter seasons, and especially in the patients who had a history of seizure. During the PPR, EEG pattern showed spike (77.18%), theta (9.71%), and spike + theta (13.11%). On the other hand, beta and theta waves were not significantly changed by photic stimulation. However, alpha wave was decreased and delta wave was increased by photic stimulation (P<0.05). These changes may be due to temporarily altered electrophysiological function of the epileptic patient's brain by the photic stimulation. There was no difference in the EEG pattern between the left and right side in the brain. In conclusion, condition of photic-on with closed eyes and frequency of 10~20 Hz during the procedure of EEG activation could be appropriate for obtaining a definite photoparoxysmal response in the electroencephalogram of the pediatric epilepsy patients.

• 천문학회지
• /
• 제5권1호
• /
• pp.7-14
• /
• 1972

We have investigated the structure of the general relativistic polytrope(G.R.P.) of n=5. The numerical solutions of the general relativistic Lane-Emden functions ${\upsilon}\;and\;{\theta}$ for the ratio of the central pressure to the central density ${\sigma}=0.1$, 0.3, 0.5 and 0.8333 are plotted graphically. We may summarize the results as follows: 1. As the invariant radius $\bar{\xi}$ increases, the numerical value of the mass parameter ${\upsilon}$ does not approach toward the assymptotic limit, as it does in the classical case $({\upsilon}{\sim}{\sqrt{3}})$, but it increases continuously with progressively smaller rate as compared with the classical case. 2. When $\bar{\xi}$ is less than ${\sim}5.5$, the value of the density function ${\theta}$ drops more rapidly than the classical one, whereas when $\bar{\xi}$ is greater than ${\sim}5.5$, ${\theta}$ becomes greater than the classical value. For the greater values of ${\sigma}$ these phenomena become significant. 3. From the above results it is expected that the equilibrium mass of the G.R.P. of n=5 must be larger than the classical masse $({\sqrt{3}})$ and the mass is more dispersed than the classical configuration (i.e. equilibrium with infinite radius).

• 대한기계학회논문집
• /
• 제11권3호
• /
• pp.362-367
• /
• 1987

본 연구에서는 위의 인자들 중 .int.Pdt대신에 계산의 편의상 .int.Pd.theta.로, .DELTA.P는 최고압력차의 영향이 가장 크다고 생각되어 (.DELTA.P)$_{max}$를 대상으로 하여 이들 제인 자와 각 주파수성분과의 상관관계에 대하여 검토하고, 주파수역에 대하여 미치는 영향 을 정량적으로 해석하기 위하여 보조 프로그램을 작성하였다.

• 감성과학
• /
• 제18권1호
• /
• pp.15-26
• /
• 2015

본 논문에서는 경험적 모드 분해 방법을 이용하여 시각자극 출현에 따른 과제 수행 시 발생하는 뇌 유발전위의 ${\theta}$와 ${\alpha}$대역에 대한 진폭과 위상변화를 확인하였다. 과제수행에 대한 뇌 유발전위를 구성 주파수 대역 별로 분해하기 위하여 경험적 모드 분해 방법을 적용하였고, 분해된 각 내재모드함수에 힐버트 변환을 적용하여 뇌 유발전위의 ${\theta}$와 ${\alpha}$대역의 순간 진폭과 위상 변화를 확인하였다. 과제 수행 시 뇌 유발전위의 P2, N2과 P3지점에서 ${\theta}$와 ${\alpha}$대역의 진폭이 크게 관찰되었으며, N1, P2부근에서 순간 위상의 변화가 최대가 되었다. 시각 자극 출현에 따른 응시 상태에서는 두 대역 모두 관련된 위상 변화시점이 확인되지 않았다. 대역통과필터 방법 적용 시, 경험적 모드 분해 방법에 비해 시간과 주파수 해상도가 떨어졌으며, 필터의 파라미터에 따라 위상 변화 시점의 결과에 차이가 발생하였다. 연구를 통해 ${\theta}$와 ${\alpha}$대역이 시각 자극 출현에 따른 과제 수행에 대한 뇌 유발전위의 주요성분인 ${\theta}$와 ${\alpha}$대역의 위상변화와 뇌 유발전위의 생성을 위상 변화와 연관 지어 해석하였다.

• 환경영향평가
• /
• 제27권3호
• /
• pp.291-306
• /
• 2018

본 연구는 붉가시나무(Quercus acuta Thunb.)를 대상으로 기후변화의 영향을 평가함에 있어 분산능력을 고려해보고자 하였다. 기후변화에 따른 붉가시나무의 잠재서식지 변화를 예측하기 위하여 종의 분포자료와 기후자료를 활용하여 종분포모형을 개발하였다. 종분포모형은 9개 알고리즘을 True Skill Statistic 평가 값 가중치로 합산하는 앙상블모형을 적용하여 불확실성을 줄이고자 하였다. 미래의 시간적 범위는 2050년과 2070년을 대상으로 하였으며, 기후변화 시나리오는 RCP4.5와 RCP8.5를 선정 하였다. 최종적인 미래 잠재서식지는 현재 적합서식지에서 분산능력에 따라 분산가능한지의 여부를 고려하여 결정하였다. 분산능력은 제한이 없는 경우(Unlimited)와 거리에 따른 분산 확률 함수에 3가지 계수값 (${\theta}=-0.005$, ${\theta}=-0.001$, ${\theta}=-0.0005$)을 적용하여 R 패키지인 Migclim을 사용하여 구현하였다. 2050년 RCP4.5 시나리오에서 계수값이 ${\theta}=-0.005$일 때 붉가시나무의 잠재서식지가 감소하였다. 그 이외의 경우에는 분산능력이 낮은 경우에도 한반도 내의 잠재서식지가 늘어났다. 하지만 분산능력을 고려하였을 경우 붉가시나무의 미래 잠재서식지 확장에는 한계가 분명하게 나타났다. 따라서 기후변화에 따른 미래 잠재서식지 예측에 있어서 분산능력을 고려하는 것이 중요하다고 판단된다.

• 호남수학학술지
• /
• 제40권4호
• /
• pp.719-732
• /
• 2018

In this manuscript, hybrid fixed point results for four maps using (E.A) and tangential properties in the setting of metric space are studied. Application to system of functional equations is also studied.

• 대한수학회논문집
• /
• 제34권1호
• /
• pp.27-41
• /
• 2019

We determine explicit formulas for the number of representations of a positive integer n by quaternary quadratic forms with coefficients 1, 2, 5 or 10. We use a modular forms approach.

• Kyungpook Mathematical Journal
• /
• 제63권4호
• /
• pp.647-707
• /
• 2023

In this article, we discuss and survey the recent progress towards the Schottky problem, and make some comments on the relations between the André-Oort conjecture, Okounkov convex bodies, Coleman's conjecture, stable modular forms, Siegel-Jacobi spaces, stable Jacobi forms and the Schottky problem.

• 한국전문물리치료학회지
• /
• 제15권4호
• /
• pp.70-79
• /
• 2008

The purpose of this study was to find out the effects of electroencephalograph (EEG) power and coherence on cognitive function in normal elderly, non-demented elderly with mild cognitive impairment, and demented elderly during working cognition tasks. Forty elderly women (19 demented elderly, 10 non-demented elderly with mild cognitive impairment, 11 norma1 elderly) participated in this study, All subjects performed working cognition tasks with Raven's CPM while EEG signal was recorded, EEGs were measured continuously at rest and during the working cognition task. EEG power and coherence was computed over 21 channels: right and left frontal, central, parietal, temporal and occipital region. We found that there were more correct answers among normal elderly women than in other groups Owing the working cognition task, ${\Theta}$ wave at Fp1, Fp2 and F8, a wave at Fp2, ${\beta}$ wave at Fp1, Fp2. F4 and F8 of the frontal region was increased significantly in the demented elderly group. On the other hand. ${\Theta}$ wave at Fp1, Fp2 and F7, ${\beta}$ wave at Fp1, Fp2, F3 and F7 of the frontal region was increased significantly in the group of non-demented elderly with mild cognitive impairment. In contrast. in the normal elderly group, all of the ${\Theta}$ wave and ${\beta}$ wave at Fp1, Fp2, F3, F4, F7 and F8 of the frontal region (except ${\beta}$ wave at F3) was increased significantly, These results suggest that the nerves in prefrontal and right hemisphere regions were most active in the demented elderly group during problem solving, and the nerves in the prefrontal and left hemisphere lobe were most active in the group of non-demented elderly with mild cognitive impairment. In contrast, me majority of nerves in the frontal region were active in the normal elderly group.