• Journal of the Korean Institute of Telematics and Electronics B
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• v.33B no.2
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• pp.103-110
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• 1996

In this paper, we propose a unified systolic array for the computation of the 2D discrete cosine transform/discrete sine transform/discrete hartley transform (DCT/DST/DHT). The unified systeolic array for the 2D DCT/DST/DHT is a generalization of the unified systolic array for the 1D DCT/DST/DHT. In order to calculate the 2D transform, we compute 1D transforms along the row, transpose them, and obtain 1D transforms along the column. When we compare the proposed systolic array with the conventional method, our architecture exhibits a lot of advantages in terms of latency, throughput, and the number of PE's. The simulation results using very high speed integrated circuit hardware description language (VHDL), international standard language for hardware description, show the functional validity of the proposed architecture.

• IEMEK Journal of Embedded Systems and Applications
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• v.10 no.2
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• pp.81-89
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• 2015

In this paper, we proposed a new matrix transposition scheme, called asymmetry sub-matrix, and conducted the in-depth performance evaluation of the proposed scheme with other prior schemes, including element-major, row-major and sub-matrix schemes in large-scale matrix. In our results, the proposed asymmetry sub-matrix scheme shows the best performance compared to other prior schemes, while sub-matrix scheme shows the second best performance.

• Journal of applied mathematics & informatics
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• v.7 no.3
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• pp.875-886
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• 2000

Let G denote either of the groups $GL_2(q)$ or $SL_2(q)$. Then ${\theta}$:G -> G given by ${\theta}(A)$ = ${(A^t)}^{-l}$, where $A^t$ denotes the transpose of the matrix A, is an automorphism of G. Therefore we may form the group G.$<{\theta}>$ which is the split extension of the group G by the cyclic group $<{\theta}>$ of order 2. Our aim in this paper is to find the complex irreducible character table of G.$<{\theta}>$.

• Bulletin of the Korean Mathematical Society
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• v.57 no.3
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• pp.535-545
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• 2020

Let A be an m × n matrix over nonnegative integers. The isolation number of A is the maximum number of isolated entries in A. We investigate linear operators that preserve the isolation number of matrices over nonnegative integers. We obtain that T is a linear operator that strongly preserve isolation number k for 1 ≤ k ≤ min{m, n} if and only if T is a (P, Q)-operator, that is, for fixed permutation matrices P and Q, T(A) = P AQ or, m = n and T(A) = P A^tQ for any m × n matrix A, where A^t is the transpose of A.

• The Transactions of the Korean Institute of Electrical Engineers
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• v.45 no.3
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• pp.399-406
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• 1996

This paper presents a method of hierarchical state estimation of the time-varying linear systems via Block-pulse function(BPF). When we estimate the state of the systems where noise is considered, it is very difficult to obtain the solutions because minimum error variance matrix having a form of matrix nonlinear differential equations is included in the filter gain calculation. Therefore, hierarchical approach is adapted to transpose matrix nonlinear differential equations to a sum of low order state space equation from and Block-pulse functions are used for solving each low order state space equation in the form of simple and recursive algebraic equation. We believe that presented methods are very attractive nd proper for state estimation of time-varying linear systems on account of its simplicity and computational convenience. (author). 13 refs., 10 figs.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.16 no.12
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• pp.1236-1248
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• 1991

A new fast algorithm for computing the discrete cosine transform(DCT) Is developed decomposing N-point DCT into an N /2-point DCT and two N /4 point transforms(transpose of an N /4-point DCT. TN/t'and)It has an important characteristic that in this method, the roundoff noise power for a fixed point arithmetic can be reduced significantly with respect to the wellknown fast algorithms of Lee and Chen. since most coefficients for multiplication are distributed at the nodes close to the output and far from the input in the signal flow graph In addition, it also shows three other versions of factorization of DCT matrix with the same number of operations but with the different distributions of multiplication coefficients.

• Korean Journal of Mathematics
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• v.27 no.3
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• pp.735-741
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• 2019

Let ${\mathcal{H}}$ be a complex Hilbert space and ${\mathcal{B}}({\mathcal{H}})$ the algebra of all bounded linear operators on ${\mathcal{H}}$. In this paper, we prove that if ${\varphi}:{\mathcal{B}}({\mathcal{H}}){\rightarrow}{\mathcal{B}}({\mathcal{H}})$ is a unital surjective bounded linear map, which preserves m- isometries m = 1, 2 in both directions, then there are unitary operators $U,V{\in}{\mathcal{B}}({\mathcal{H}})$ such that ${\varphi}(T)=UTV$ or ${\varphi}(T)=UT^{tr}V$ for all $T{\in}{\mathcal{B}}({\mathcal{H}})$, where $T^{tr}$ is the transpose of T with respect to an arbitrary but fixed orthonormal basis of ${\mathcal{H}}$.

• Journal of the Korean Mathematical Society
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• v.59 no.5
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• pp.927-944
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• 2022

Let $\vec{p}{\in}(0,\;1]^n$ be an n-dimensional vector and A a dilation. Let $H^{\vec{p}}_A(\mathbb{R}^n)$ denote the anisotropic mixed-norm Hardy space defined via the radial maximal function. Using the known atomic characterization of $H^{\vec{p}}_A(\mathbb{R}^n)$ and establishing a uniform estimate for corresponding atoms, the authors prove that the Fourier transform of $f{\in}H^{\vec{p}}_A(\mathbb{R}^n)$ coincides with a continuous function F on ℝⁿ in the sense of tempered distributions. Moreover, the function F can be controlled pointwisely by the product of the Hardy space norm of f and a step function with respect to the transpose matrix of A. As applications, the authors obtain a higher order of convergence for the function F at the origin, and an analogue of Hardy-Littlewood inequalities in the present setting of $H^{\vec{p}}_A(\mathbb{R}^n)$.

• Journal of Contemporary Eastern Asia
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• v.19 no.1
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• pp.8-30
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• 2020

Most literature on the "comfort women" social movement focuses on the case of Korea. These works tend to transpose the meanings generated by South Korean organizations onto the transnational network, assuming certain homogeneity of repertoires and identities among the different social actors that comprise this network. Even though there is some degree of consensus about demands, repertoires, and advocacy strategies at the international level, does this same uniformity exist at the national level? In each country, what similarities and differences are present in the laboratories of ideas, relationships, and identities of social actors in the network? Symbolically and politically, do they challenge their respective societies in the same way? This article compares this social movement in South Korea, China, and Taiwan. My main argument is that the constitutive base for this transnational network is the domestic actions of these organizations. It is in the domestic sphere that these social actors reinforce their agendas, reinvent their repertoires, transform their identities, and expand their submerged networks, allowing national movements to retain their latency and autonomy. Following Melucci's relational approach to the study of social movements, this research is based on a qualitative analysis of institutional documents, participant observation, and open-ended interviews with members of the main social actors.

• Archives of Reconstructive Microsurgery
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• v.8 no.1
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• pp.92-96
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• 1999

Neuroma is formed by abnormal, incomplete nerve regeneration after nerve injury. A painful neuroma in the hand can be psychologically and physically disabling. The goal of treating painful neuroma is to relieve pain and to restore nerve function. A numerous treatment modality was reported for alleviating the problem. These treatments include crushing the neuroma, ligating it, burying in soft tissue, bone, and muscle, injecting it with alcohol, phenol, and steroid, capping it with silicone cuff. But, none of these methods has been uniformly successful, although each has its advocates. No one technique reliably prevents formation of a painful neuroma. However, the principles of treatment is resection of neuroma and proximal stump of the nerve is transposed to appropriate adjacent tissue. Our current technique was resection of neuroma with partial normal neural tissue, and then the nerve ending was transposed and sutured to the side of the proximal stump with 10-0 nylon, so end-to-side neurorrhaphy was made. The nerve ending had to be placed and fixed into the proximal nerve epineurium like as a figure of a loop. We believe this technique is another useful method for the treatment of painful neuroma.