• Journal of applied mathematics & informatics
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• v.22 no.1_2
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• pp.557-562
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• 2006

We consider the relationship between absolute continuity for functions of a real variable and absolute continuity of functions of generalized bounded variation. Here, we obtain necessary and sufficient conditions between these two functions.

• Korean Journal of Mathematics
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• v.22 no.4
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• pp.711-723
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• 2014

We prove in this paper the absolute continuity of the representing measures of the hypergeometric translation operators $\mathcal{T}_x$ and $\mathcal{T}_x^W$ associated respectively to the Cherednik operators and the Heckman-Opdam theory attached to the root system of type $B_2$ and $C_2$ which are studied in [9].

• Journal of the Korean Statistical Society
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• v.22 no.2
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• pp.347-351
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• 1993

The dichotomy of absolute continuity and singularity for a pair of stationary and ergodic measures (one of which need not be ergodic) is obtained using the ergodic decomposition theorem. The known fact that two different stationary and ergodic measures are mutually singular is obtained as a corollary of our result. An example of a pair of stationary-ergodic measures enjoying the dichotomy is presented.

• The Mathematical Education
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• v.22 no.1
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• pp.49-50
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• 1983

• Kyungpook Mathematical Journal
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• v.27 no.2
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• pp.173-179
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• 1987

In this article the absolute convergence of lacunary Fourier Coefficients Series is studied for Hilbert space valued functions. The considered functions arc assumed to be of either the modulus of continuity or the modulus of smoothness of order l which are considered only at a fixed point in [$-{\pi},{\pi}$]. On the other hand for values in weakly sequentially complete Banach space, the lacunary Fourier coefficients series is strongly unconditionally convergent. The results obtained here are a kind of a generalization of the results due to Kandil [4].

• Journal of the Korean Data and Information Science Society
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• v.27 no.6
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• pp.1653-1660
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• 2016

Smoothly clipped absolute deviation (SCAD) penalty is known to satisfy the desirable properties for penalty functions like as unbiasedness, sparsity and continuity. In this paper, we deal with the regression function estimation and variable selection based on SCAD penalized censored regression model. We use the local linear approximation and the iteratively reweighted least squares algorithm to solve SCAD penalized log likelihood function. The proposed method provides an efficient method for variable selection and regression function estimation. The generalized cross validation function is presented for the model selection. Applications of the proposed method are illustrated through the simulated and a real example.

• Proceedings of the KSR Conference
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• 2008.06a
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• pp.512-518
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• 2008

The importance of modern electronic devices is gradually increased and, the requirement of the safe and reliable earthing and bonding for protection of the electronic devices is consequently absolute. The electrical continuity and physical strength of the bonding work in rail signal and impedance bonding is also one of the important issues. The thermit welding for earth cable connection and rail bonding work proposed hereunder is an effectively applicable in many fields of rail industries.

• Korean Journal of Mathematics
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• v.26 no.4
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• pp.601-614
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• 2018

We consider the magnetic $Schr{\ddot{o}}dinger$ operator coupled with two different potentials. One of them is a harmonic oscillator and the other is a periodic potential. We give some periodic potential classes for which the operator has purely absolutely continuous spectrum. We also prove that for strong magnetic field or large coupling constant, there are open gaps in the spectrum and we give a lower bound on their number.

• Journal of architectural history
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• v.6 no.1 s.11
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• pp.67-79
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• 1997

Architecture is a shelter for society whose social pattern requires a specific form to accord with its material and spiritual needs. Providing a truly acceptable architecture requires our deeper understanding of cultural tradition - mythic values - not only because myth is an interpreted and configured form of 'thing' through man's second nature, such as his subjective and objective consciousness -'self-revelation of the absolute'- but also because, in the world of mythical imagination, a fragment of substantial reality -'thing'- becomes an equivalent mode to the signification, and emerges as 'its independent spiritual form' and 'the characteristic force of the logos.' In this sense, myth of place and myth behind tectonic form are the most essential sources for comprehending people's relationship to the world of inner and conscious experience. The recent efforts of modern architects to achieve cultural continuity should begin with re-interpretation and configulation of the myths behind describable material culture, especially artistic imagination inspired by deeper understanding of the myth of place. Myth provide artists with a creative inspiration, as they did in the past.

• Journal of the Korean Statistical Society
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• v.23 no.2
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• pp.367-378
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• 1994

Let P and Q be probability measures of a measurable space $(\Omega, F)$, and ${F_n}_{n \geq 1}$ be a sequence of increasing sub $\sigma$-fields which generates F. For each $n \geq 1$, let $P_n$ and $Q_n$ be the restrictions of P and Q to $F_n$, respectively. Under the assumption that $Q_n \ll P_n$ for every $n \geq 1$, a zero-one condition is derived for P and Q to have the dichotomy, i.e., either $Q \ll P$ or $Q \perp P$. Then using this condition and the Kolmogorov's zero-one law, we give new and simple proofs of the dichotomy theorems for a pair of Gaussian measures and Poisson processes with examples.