• 대한수학회논문집
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• 제17권4호
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• pp.675-680
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• 2002

Since N. Levin [1] in 1961 defined the weakly continuous function, there is a lot of weakened forms of continuous function. In this paper we consider two forms of the weakened form of continuous function and study the some properties of them.

• 대한수학회논문집
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• 제33권2호
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• pp.619-630
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• 2018

In this paper, we obtain a (p, q)-extension of the Whittaker function $M_{k,{\mu}}(z)$ together with its integral representations, by using the extended confluent hypergeometric function of the first kind ${\Phi}_{p,q}(b;c;z)$ [recently extended by J. Choi]. Also, we give some of its main properties, namely the summation formula, a transformation formula, a Mellin transform, a differential formula and inequalities. In addition, our extension on Whittaker function finds interesting connection with the Laguerre polynomials.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제12권2호
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• pp.131-136
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• 2012

If one can find a control Lyapunov function (CLF) for a given nonlinear system, the control input stabilizing the system can be easily obtained. To find a CLF, the time derivative of an energy function should be negative definite. This procedure frequently requires a control input which is a rational function or includes an inverse function. The control input is not defined on the specific state-space where the denominator of the rational function is equal to 0 or the inverse function does not exist. In this region with singularities, the trajectory of the control system cannot be generated, which is one of the most important reasons why it is hard to make the origin of a nonlinear system be globally asymptotically stable. In this paper, we propose a smooth control law ensuring the globally asymptotic stability by means of cancelling the singularity in the control input.

• 대한수학회지
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• 제46권4호
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• pp.841-857
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• 2009

In this paper, we give and study the notion of computer topological function space between computer topological spaces with $k_i$ adjacency, i $\in$ {0, 1}. Using this notion, we study various properties of topologies of a computer topological function space.

• 한국데이터정보과학회:학술대회논문집
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• 한국데이터정보과학회 2003년도 춘계학술대회
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• pp.109-119
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• 2003

In this paper we propose a local smoothing of the Nelson type estimator for the survival function based on an approximation by the Weibull distribution function. It appears that Mean Square Error and Bias of the smoothed estimator of the Nelson type survival function estimator is significantly smaller then that of the smoothed estimator of the Kaplan-Meier survival function estimator.

• 한국컴퓨터정보학회논문지
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• 제21권12호
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• pp.131-137
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• 2016

In this paper, the peak finding algorithms corresponding to the Autocorrelation Function (ACF), which are widely exploited for detecting the pitch of voiced signal, are proposed. According to various researchers, it is well known fact that the estimation of fundamental frequency (F0) in speech signal is not only very important task but quite difficult mission. The proposed algorithms, presented in this paper, are implemented by using many characteristics - such as monotonic increasing function - of ACF function. Thus, the proposed algorithms may be able to estimate both reliable and correct the fundamental frequency as long as the autocorrelation function of speech signal is accurate. Since the proposed algorithms may reduce the computational complexity it can be applied to the real-time processing. The speech data, is composed of Korean emotion expressed words, is used for evaluation of their performance. The pitches are measured to compare the performance of proposed algorithms.

• Journal of Power Electronics
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• 제11권1호
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• pp.51-58
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• 2011

In this paper, a function model of back-to-back PWM converters, based on the switching function, is developed for simplified simulation of power electronic application systems. For the function model, the PWM power switches are represented by dependent power sources. By using the proposed function model, the computer memory and the run time required for the simulation of power circuits can be significantly reduced. It is shown that the simulation results generated from the function models are almost the same as the ones obtained by using the switching power device model.

• Communications for Statistical Applications and Methods
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• 제15권4호
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• pp.509-516
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• 2008

본 논문에서는 변이계수에 대한 영향함수를 유도한다. 경험적 영향함수와 표본영향함수를 이용하여 유도된 영향함수의 타당성을 입증하고 이를 위하여 정규분포 $N(20,1^2)$와 $N(20,5^2)$에서 각각 확률표본을 추출하여 시뮬레이션을 수행한다. 시뮬레이션 결과로부터, 유도된 변이계수에 대한 영향함수가 한 개의 관찰치가 제거되었을 때 변이계수의 변화량을 매우 정확히 추정하는 것을 확인하였다.

• The Journal of Korean Physical Therapy
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• 제34권6호
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• pp.292-297
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• 2022

Purpose: This study describes the effects of kicking a ball training on balance and upper limb function in chronic hemiplegia. Methods: Thirty chronic stroke patients were randomly selected; Kicking a ball (n=10), Treadmill gait (n=10), Stepping on the ground group (n=10). The Short Physical Performance Battery (SPPB) for balance and Foot Scan for weight distribution. Upper limb function was measured by the Manal Function Test (MFT). This treatment was performed five times a week for a total of 4 weeks. Results: Kicking group was significantly increased in SPPB (p<0.05) and MFT (p<0.05) between pretest vs post test and pretest vs follow-up. Conclusion: Kicking a ball was effective for improving weight acceptance on the paretic leg, balance and upper limb function. However, In terms of balance, the core stabilization that affected the upper extremity function was not evaluated. Thus, additional research may help determine correlation between core stability and upper limb function to improve balance.

• 호남수학학술지
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• 제30권3호
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• pp.425-433
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• 2008

In this paper, we introduce the concept of p-preconvex sets on preconvexity spaces. We study some properties for p-preconvex sets by using the co-convexity hull and the convexity hull. Also we introduce and study the concepts of pc-convex function, $p^*c$-convex function, pI-convex function and $p^*I$-convex function.