• Bulletin of the Korean Mathematical Society
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• v.57 no.3
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• pp.751-762
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• 2020

We define the average of a set of continuous functions of two variables (surfaces) using the structure of the two-parameter Wiener space that constitutes a probability space. The average of a sample set in the two-parameter Wiener space is defined employing the two-parameter Wiener process, which provides the concept of distribution over the two-parameter Wiener space. The average defined in our work, called an average function, also turns out to be a continuous function which is very desirable. It is proved that the average function also lies within the range of the sample set. The average function can be applied to model 3D shapes, which are regarded as their boundaries (surfaces), and serve as the average shape of them.

• Communications of the Korean Mathematical Society
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• v.34 no.2
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• pp.465-475
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• 2019

Let X be a Banach space and $X^*$ be its dual. In this paper, we give relationships among some parameters in $X^*$: ${\varepsilon}$-nonsquareness parameter, $J({\varepsilon},X^*)$; ${\varepsilon}$-boundary parameter, $Q({\varepsilon},X^*)$; the modulus of smoothness, ${\rho}_{X^*}({\varepsilon})$; and ${\varepsilon}$-Pythagorean parameter, $E({\varepsilon},X^*)$, and weak orthogonality parameter, ${\omega}(X)$ in X that imply uniform norm structure in X. Some existing results are extended or approved.

• Journal of the Korean Mathematical Society
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• v.58 no.2
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• pp.383-400
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• 2021

The aim of this paper is to mainly establish the sufficient and necessary conditions for the boundedness of the commutator ����Ω,b which is generated by the parameter Marcinkiwicz integral ����Ω and the Lipschitz function b on generalized Orlicz-Morrey space L��,��(Rd) in the sense of the Adams type result (or Spanne type result). Moreover, the necessary conditions for the parameter Marcinkiewizcz integral ����Ω on the L��,��(Rd), and the commutator [b,����Ω] generated by the ����Ω and the space BMO on the L��,��(Rd), are also obtained, respectively.

• Annual Conference on Human and Language Technology
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• 1989.10a
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• pp.142-147
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• 1989

필기체 문자는 인쇄체 문자와는 달리, 복잡한 변형이 따르므로, 인식 하는데 많은 문제점이 따른다. 그렇기 때문에 일반적인 필기체 인식에 있어서는 필기 자체에 대한 제한을 두어 변형을 적게한 문자를 인식 대상으로 삼고 있다. 이러한 문자는, 설정된 조건만 확실하게 만족한다면, 비교적 간단하게 인식 할 수 있다. 반면에, 자유 필기체 문자는, 제한 필기체 문자와는 달리 변형이 크기 때문에, 그 인식에는 많은 연구가 필요하다. 본 연구에서는, 자유 필기체 한글의 자모를 추출하는데 있어 두개의 parameter space method를 이용했다. 화상내에서의 혼합은, 기본적으로 5 개의 element ($\mid,\;\setminus,\;/,\;-,\;o$)로 구성되어 있고, 이 element를 정의하는데는 최소한 4 개의 parameter, 즉 element의 위치 [x, y], 크기 [1] 및 type [T] 등이 필요하다. 입력 화상에서 추출된 직선 및 원의 성분은 [x, y, l] 과 [x, y, T]의 2 개의 3-D parameter space 에 누적되고, parameter space 상에서의 병합 분할 과정을 거쳐, element 가 형성된다. 추출된 element 들은, parameter space 상에서의 방향성 및 상호 위치 관계에 의한 조합 형태로서, 미리 기술되어진 자모 모델과 비교되어 인식된다. 본 방법의 특정은, 문자의 크기에 무관하고, 해석방법에 의해서는, 끊어진 element나 불필요한 element 등의 왜곡된 element 들의 처리가 가능한 점, 4 차원 parameter space를 두개의 3 차원 parameter space로 분리, 처리시간과 기억용량의 절약을 기한점 등을 들 수 있다.

• Journal of the Korean Mathematical Society
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• v.43 no.6
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• pp.1231-1252
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• 2006

In this paper we shall explicitly calculate the formula of the algebraic presentation of an embedding of the Teichmiiller space ${\Im}(M)$ into the Goldman space g(M). From this algebraic presentation, we shall show that the Goldman's length parameter on g(M) is an isometric extension of the Fenchel-Nielsen's length parameter on ${\Im}(M)$.

• Journal of the Korean Mathematical Society
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• v.50 no.3
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• pp.607-625
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• 2013

It is well-known that the ordinary single-parameter Wiener space exhibits a reflection principle. In this paper we establish a reflection principle for a generalized one-parameter Wiener space and apply it to the integration of a class of functionals on this space. We also discuss several notions of a reflection principle for the two-parameter Wiener space, and explore whether these actually hold.

• Journal of Astronomy and Space Sciences
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• v.33 no.4
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• pp.265-271
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• 2016

Interplanetary scintillation-driven (IPS-driven) ENLIL model was jointly developed by University of California, San Diego (UCSD) and National Aeronaucics and Space Administration/Goddard Space Flight Center (NASA/GSFC). The model has been in operation by Korean Space Weather Cetner (KSWC) since 2014. IPS-driven ENLIL model has a variety of ambient solar wind parameters and the results of the model depend on the combination of these parameters. We have conducted researches to determine the best combination of parameters to improve the performance of the IPS-driven ENLIL model. The model results with input of 1,440 combinations of parameters are compared with the Advanced Composition Explorer (ACE) observation data. In this way, the top 10 parameter sets showing best performance were determined. Finally, the characteristics of the parameter sets were analyzed and application of the results to IPS-driven ENLIL model was discussed.

• The Transactions of the Korean Institute of Electrical Engineers
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• v.36 no.8
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• pp.594-602
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• 1987

This paper proposes a new method of reducing the processing time and the size of consummimg memories in Hough transform. In this method, only the functional patterns are considered. The candidate points which are accumulated into the parameter space are computed in a many-to-one fashion and the parameter space is quantized dynamically to maintain a fine precision where it is needed. And a coarse-to-fine extraction method is used to reduce the processing time. The many-to-one fashional computation results in a relatively high-densed accumulation of candidate points around the parameter points corresponding to the image patterns in the image space. So, the dynamic quantization procedure can be simplified and the local maxima can be determined easily. And more effective reduction can be obtained as the dimension of parameter space is increased.

• Proceedings of the Korean Society of Marine Engineers Conference
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• 2000.11a
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• pp.135-142
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• 2000

The adjusting parameter set which enable control systems to locate on stability limit can be derived from theoretical or trial methods for an existing real system. The data from the results are much available to keep a system in the Proper stability condition even to site engineers who are inexperienced in the control system. In this paper, a general one loop control system was adopted for a model system the process of which was assumed to consist of a time-delay element and a first order-lag element in series. After obtaining the corresponding parameter set for the model system by mathematical procedures, their loci on the parameter space was taken according to frequency change. The parameter set loci of stability limit showed unique pattern, and particularity , the curves on the Kg-Ti parameter space were able to be generalized in the form of, an unique exponential formula. These properties were also compared with the results taken from experimental procedures by Nyquist response method and Ziegler & Nichols method on the time domain, and both results were confirmed to be nearly same.

• Journal of applied mathematics & informatics
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• v.10 no.1_2
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• pp.309-323
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• 2002

This paper studies the parameter estimation problem for a steady state flow in an inhomogeneous medium. Our approximation scheme could be used when the diffusion coefficient is singular. The function space parameter estimation convergence(FSPEC) is considered and numerical simulations are performed.