• ETRI Journal
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• v.29 no.4
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• pp.516-517
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• 2007

In this letter we present a generic Craig form for the two-dimensional (2-D) Gaussian Q-function. The presented Craig form provides an alternative solution to the problems of computing probabilities involving a form of the 2-D Gaussian Q-function.

• Bulletin of the Korean Chemical Society
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• v.27 no.12
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• pp.1940-1960
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• 2006

Theoretical descriptions of two-dimensional (2D) vibrational and electronic spectroscopy are presented. By using a coupled multi-chromophore model, some examples of 2D spectroscopic studies of peptide solution structure determination and excitation transfer process in electronically coupled multi-chromophore system are discussed. A few remarks on perspectives of this research area are given.

• Bulletin of the Korean Mathematical Society
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• v.60 no.2
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• pp.307-313
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• 2023

In this paper, we study the n-dimensional Möbius transformation. We obtain several conjugacy invariants and give a conjugacy classification for n-dimensional Möbius transformation.

• Journal of the Chungcheong Mathematical Society
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• v.36 no.2
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• pp.87-91
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• 2023

It is concerned with the size of bounded functions in Besov spaces. It reports that every closed subspace consisted with bounded functions in Besov spaces B^s_p,p(𝕋^d) (s < 0) is finite dimensional.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.39 no.3
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• pp.73-84
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• 2002

Fast and accurate new capacitance determination methodology for non-uniform complicated multi-layer VLSI interconnects is presented. Since a capacitance determination of intricate multi-layer interconnects using 3-dimensional field-solver is not practical, quasi-3-dimensional methodology is presented. Interconnects with discontinuity (i.e., bend structure and different spacing between lines, etc.) are partitioned. Then, each partial capacitance of divided parts is extracted by using 2-dimensional extraction methodology. For a multi-layer interconnects with shielding layer, the system can be simplified by investigating a distribution of charge in it. Thereby, quasi-3-dimensional capacitance for multi-layer interconnects can be determined by combining solid-ground based 2-dimensional capacitance and shielding effect which is independently determined with layout dimensions. This methodology for complicated multi-layer interconnects is more accurate and cost-efficient than conventional 3-dimensional methodology It is shown that the quasi-3-dimensional capacitance methodology has excellent agreement with 3-dimensional field- solver-based results within 5% error.

• Communications of the Korean Mathematical Society
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• v.13 no.3
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• pp.561-577
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• 1998

We study (n＋3)-dimensional contact three CR submanifolds of a Riemannian manifold with Sasakian three structure and investigate some characterizations of $S^{4r＋3}$(a) $\times$ $S^{4s＋3}$(b) ($a^2$＋ $b^2$=1, 4(r ＋ s) = n - 3) as a contact three CR sub manifold of a (4m＋3)-dimensional unit sphere.

• Journal of applied mathematics & informatics
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• v.6 no.2
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• pp.575-588
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• 1999

Lower dimensional cases of Einstein's connection were al-ready investigated by many authors for n =2,4. This paper is to ob-tain a surveyable tensorial representation of n-dimensional Einstein's connection in terms of the unified field tensor with main emphasis on the derivation of powerful and useful recurrence relations which hold in n-dimensional Einstein's unified field theory(i.e., n-*g-UFT): All con-siderations in this paper are restricted to the third class only.

• Korean Journal of Mathematics
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• v.23 no.2
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• pp.313-321
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• 2015

The manifold $^*g-ESX_n$ is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor $^*g^{{\lambda}{\nu}}$ through the ES-connection which is both Einstein and semi-symmetric. The purpose of the present paper is to prove a necessary and sufficient condition for a unique Einstein's connection to exist in 3-dimensional $^*g-ESX_3$ and to display a surveyable tnesorial representation of 3-dimensional Einstein's connection in terms of the unified field tensor, employing the powerful recurrence relations in the first class.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.37A no.10
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• pp.821-826
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• 2012

Two-dimensional magnetic recording (TDMR) is treated as the next generation magnetic recording method, but because of its high channel bit error rate, it is difficult to use in practices. In this paper, we introduce a new writing method that can decrease the nonlinear media error effectively, and it can also achieve 10 Tb/$in^2$ of user bit density on a magnetic recording medium with 20 Teragrains/$in^2$.

• East Asian mathematical journal
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• v.14 no.2
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• pp.329-341
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• 1998

In this paper, we investigate the existence of the two dimensional surface in four dimensional equiaffine space and characterize that surface.