• The Journal of the Korea institute of electronic communication sciences
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• v.4 no.3
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• pp.197-203
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• 2009

Finite field arithmetic is very important in the area of cryptographic applications and coding theory, and it is efficient to use normal bases in hardware implementation. Using the fact that $GF(2^{mk})$ having a type-I optimal normal basis becomes the extension field of $GF(2^m)$, we, in this paper, propose a new serial multiplier which reduce the critical XOR path delay of the best known Reyhani-Masoleh and Hasan's serial multiplier by 25% and the number of XOR gates of Kwon et al.'s multiplier by 2 based on the Reyhani-Masoleh and Hasan's serial multiplier for type-I optimal normal basis.

• Korean Business Review
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• v.3
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• pp.183-210
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• 1990

In this study traditional depreciation method has been analysed carefully and then compared with the depreciation on current cost basis for the purpose of reviewing the basic theory underlying depreciation on current cost basis in view of the current situation demanding new method of depreciation. In this treatise the inevitability of rejecting the basic theory of depreciation and traditional depreciation method has been treated. Furthermore the probable consequence when such refutation of traditional depreciation occurs is studied. How to resolve such problems and what is the basis for claiming for depreciation on current cost basis have been also analysed. Through this analysis and research the following conclusions have been drawn: 1. For the purpose of complete recovery of invested capital depreciation on current cost basis is demanded. 2. For the purpose of undertaking realistic profit computation and accounting to apply to comparison and analysis of business operation depreciation on current cost basis is required. 3. When the feasibility of depreciation on current cost basis is guaranteed' then depreciation on current cost basis can be promoted. 4. Depreciation on current cost basis should be studied from the standpoint of evaluation position.

• Journal of the Korean Chemical Society
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• v.22 no.5
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• pp.295-303
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• 1978

The dipole moments for octahedral [Co(III)-$O_3N_3$], tetrahedral [M(II)-$O_2N_2$] and square planar [M(II)-$O_2N_2$] types complexes are calculated by the expansion method for spherical harmonics using the valence basis sets for the central metal ion and the single basis set orbital ($2p_z$) for ligands. The calculated dipole moments for these complexes are in agreement with the experimental values.

• Bulletin of the Korean Chemical Society
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• v.30 no.4
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• pp.794-796
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• 2009

We have studied the structures and stabilities of Au6 to explore the origin of the large discrepancy between relative energies obtained from the density functional theory (DFT) and ab initio correlated levels of theory. The MP2 methods significantly overestimate the stability of the non-planar isomer when the double-$\zeta$ polarization quality of basis sets, such as LANL2DZ+1f and CEP31G+1f, are used. However, we show that such preference for the non-planar structure at the MP2 level mainly originates from the large basis set superposition error.

• Proceedings of the Korea Contents Association Conference
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• 2007.11a
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• pp.209-211
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• 2007

The computational time of Stocahstic Diagonalization (SD) calculation for 2-dimensional interacting fermion systems is reduced by using several methods including symmetry operations. First, each lattice is subdivided into spin-up and spin-down lattices separately, thus allowing a bi-partite lattice. A valid basis state is then obtained from stacking up an up-spin configuration on top of a down-spin configuration. As a consequence, the memory space to be used in saving the trial basis state reduces significantly. Secondly, the matrix elements of a Hamiltonianin are reconrded in a look-up table when making basis state set. Thus the repeated calculation of the matrix elements of the Hamiltonian are avoided during SD process. Thirdly, by applying symmetry operations to the basis state set the original basis state is transformed to a new basis state whose elements are the eigenvectors of the symmetry operations. The ground state wavefunction is constructed from the elements of symmetric - bonding state - basis state set. As a result, the total number of basis states involved in SD calculation is reduced upto 50 percentage by using symmetry operations.

• Journal of the Korean Statistical Society
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• v.27 no.3
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• pp.305-318
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• 1998

Smoothing tests based on an L$_2$ error between a truncated courier series estimator and a true function have shown good powers for a wide class of alternatives, These tests have the same form of the Neyman smooth test whose performance depends on the selected order, a basis, the farm of estimators. We construct flexible data driven Neyman smooth tests by changing a basis, combining model selection criteria and different series estimators. A simulation study shows that the generalized Neyman smooth test with the best basis provides good power for a wider class of alternatives compared with other data driven Neyman smooth tests based on a fixed form of estimator, a fixed basis and a fixed criterion.

• Bulletin of the Korean Mathematical Society
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• v.54 no.6
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• pp.2013-2027
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• 2017

We compute explicitly the matrices represented by Toeplitz operators on the Hardy space over the unit circle with respect to a special orthonormal basis constructed by author in terms of their symbols. And we also find a necessary condition for the matrix generated by the product of two Toeplitz operators with respect to the basis to be a Toeplitz matrix by a direct calculation and we finally solve commuting problems of two Toeplitz operators in terms of symbols. This is a generalization of the classical results obtained regarding to the orthonormal basis consisting of the monomials.

• Journal of applied mathematics & informatics
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• v.23 no.1_2
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• pp.553-561
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• 2007

In this paper we propose the concept of fuzzy basis of fuzzy submachine, which is the generalized form of crisp basis of submachine, and we extend the system of generators and free subset to fuzzy forms, from which we prove that minimal system of fuzzy generators, maximally free fuzzy subset, and fuzzy basis are equivalent forms.

• ETRI Journal
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• v.35 no.3
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• pp.523-529
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• 2013

Subquadratic space complexity multipliers for optimal normal bases (ONBs) have been proposed for practical applications. However, for the Gaussian normal basis (GNB) of type t > 2 as well as the normal basis (NB), there is no known subquadratic space complexity multiplier. In this paper, we propose the first subquadratic space complexity multipliers for the type 4 GNB. The idea is based on the fact that the finite field GF($2^n$) with the type 4 GNB can be embedded into fields with an ONB.

• Transactions of the Korean Society of Pressure Vessels and Piping
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• v.12 no.2
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• pp.66-70
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• 2016

Following the 2011 Fukushima Nuclear Power Plant accident, the IAEA has issued a revised version of the Nuclear Safety Standard for beyond design basis earthquake to consider the core meltdown accident. In Korea, relevant laws and regulations were also revised to consider beyond design basis earthquake to nuclear components. In this paper, CAV, an seismic damage factor that determines the restart of nuclear power plant after operating breakdown earthquake, is proposed for extension to the beyond design basis earthquake. For pipings not satisfying the beyond design basis earthquake condition, several evaluation methods are suggested, such as strain-based evaluation methods, simple nonlinear analysis method and cumulative damage evaluation method.