• Journal of Applied and Pure Mathematics
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• 제6권3_4호
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• pp.167-176
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• 2024

This study is about division and right multiplication in matrices. The discussion of the properties of multiplication and division is examined. Some results between multiplication based on the row-column relationship and division based on the same relationship are discussed. The commonalities of these results between the processes are emphasized. Examples of unrealized properties are given. The algebraic properties of the newly defined right product and division are clarified in matrices. The properties of the known multiplication operation and new situations between right multiplication and division are investigated. Some results are declared between the transpositions of matrices and the obtained rules of operations. New results are discussed belong the equations ${\underleftarrow{XA}}=B$ and ${\underleftarrow{AX}}=B$. New ideas are proposed for solving these equations. The contribution The contribution is explained the equation $AB={\underleftarrow{BA}}$ to division operation. Many new properties, lemmas and theorems are presented on this subject.

• East Asian mathematical journal
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• 제15권2호
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• pp.223-232
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• 1999

In this paper, we give the upper bound of determinants of (0,1)-tridiagonal matrices and we show that the (0,1)-tridiagonal matrices which have maximal determinant are sign-nonsingular.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2004년도 추계학술대회 학술발표 논문집 제14권 제2호
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• pp.351-354
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• 2004

Using the idea of generalized intuitionistic fuzzy set, we study the notion of generalized intuitionistic fuzzy matrices as a generalization of fuzzy matrices, We show that some properties of a square generalized intuitionistic fuzzy matrix such as reflexivity, transitivity and circularity are carried over to the adjoint generalized intuitionistic fuzzy matrix.

• Journal of applied mathematics & informatics
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• 제14권1_2호
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• pp.81-96
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• 2004

The level-m scaled circulant factor matrix over the complex number field is introduced. Its diagonalization and spectral decomposition and representation are discussed. An explicit formula for the entries of the inverse of a level-m scaled circulant factor matrix is presented. Finally, an algorithm for finding the inverse of such matrices over the quaternion division algebra is given.

• 전자공학회논문지
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• 제51권5호
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• pp.3-10
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• 2014

본 논문에서는 기존 Toeplitz행렬(matrix)과 블록 순환(block circulant)행렬에 대해 검토하고, 새로운 순환 Hadamard 행렬을 제안했다. 제안한 순환 Hadamard 행렬은 +1과 -1로 구성되나 구조가 기존 Hadamard 행렬과는 다르다. 고속 알고리즘을 통해 원래의 계산량을 $Nlog_2N$개의 덧셈으로 줄일 수 있다. 이 행렬은 Massive MIMO 채널 추정 및 FIR 필터 설계, 신호처리 등에 응용이 가능하다.

• Nuclear Engineering and Technology
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• 제46권2호
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• pp.147-158
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• 2014

In order to investigate how the microstructure of fuel/matrix-interaction (FMI) layers change during irradiation, different U-7Mo dispersion fuel plates have been irradiated to high fission density and then characterized using scanning electron microscopy (SEM). Specifially, samples from irradiated U-7Mo dispersion fuel elements with pure Al, Al-2Si and AA4043 (~4.5 wt.%Si) matrices were SEM characterized using polished samples and samples that were prepared with a focused ion beam (FIB). Features not observable for the polished samples could be captured in SEM images taken of the FIB samples. For the Al matrix sample, a relatively large FMI layer develops, with enrichment of Xe at the FMI layer/Al matrix interface and evidence of debonding. Overall, a significant penetration of Si from the FMI layer into the U-7Mo fuel was observed for samples with Si in the Al matrix, which resulted in a change of the size (larger) and shape (round) of the fission gas bubbles. Additionally, solid fission product phases were observed to nucleate and grow within these bubbles. These changes in the localized regions of the microstructure of the U-7Mo may contribute to changes observed in the macroscopic swelling of fuel plates with Al-Si matrices.

• Journal of Communications and Networks
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• 제13권1호
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• pp.12-16
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• 2011

In this paper, we construct two families $C^*_m$ and ${\~{C}}^*_m$ of ternary ($2^m$, $3^m$, $2^{m-1}$ ) and ($2^m$, $3^{m+1}$, $2^{m-1}$ ) codes, for m = 1, 2, 3, ${\cdots}$, derived from the corresponding families of modified ternary Jacket matrices. These codes are close to the Plotkin bound and have a very easy decoding procedure.

• Asian-Australasian Journal of Animal Sciences
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• 제30권7호
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• pp.907-911
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• 2017

Objective: Intramuscular fat is one of the meat quality traits that is considered in the selection strategies for Hanwoo (Korean cattle). Different methods are used to estimate the breeding value of selection candidates. In the present work we focused on accuracy of different genotype relationship matrices as described by forni and pedigree based relationship matrix. Methods: The data set included a total of 778 animals that were genotyped for BovineSNP50 BeadChip. Among these 778 animals, 72 animals were sires for 706 reference animals and were used as a validation dataset. Single trait animal model (best linear unbiased prediction and genomic best linear unbiased prediction) was used to estimate the breeding values from genomic and pedigree information. Results: The diagonal elements for the pedigree based coefficients were slightly higher for the genomic relationship matrices (GRM) based coefficients while off diagonal elements were considerably low for GRM based coefficients. The accuracy of breeding value for the pedigree based relationship matrix (A) was 13% while for GRM (GOF, G05, and Yang) it was 0.37, 0.45, and 0.38, respectively. Conclusion: Accuracy of GRM was 1.5 times higher than A in this study. Therefore, genomic information will be more beneficial than pedigree information in the Hanwoo breeding program.

• Journal of Pharmaceutical Investigation
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• 제34권6호
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• pp.471-475
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• 2004

Tamsulosin has been frequently used for the treatment of benign prostatic hyperplasia. To avoid dose-dependent side effects of tamsulosin upon oral administration, the development of sustained-release delivery system is required, that can maintain therapeutic drug levels for a longer period of time. The aim of this study was therefore to formulate sustained-release tamsulosin matrix tablets and assess their formulation variables. We designed enteric coated sustained-release tamsulosin matrices to fulfill above statement. Aqueous microchannels in the enteric film need to be formed in order to obtain tamsulosin release even in an acidic environment such as gastric region. In the sustained-release tamsulosin matrix, low viscosity hydroxypropylmethylcellulose was used as a rate controller. Povidone K30 was also added to the matrices to facilitate water uptake so that a decrease in the release rate of tamsulosin as time elapses was prevented, possibly leading to pseudo zero-order release of the drug. The matrices were enteric-coated with hydroxypropylmethylcellulose phthalate (HPMCP), along with povidone K30 as an aqueous microchannel former. With the aqueous microchannels formed within the enteric film, tamsulosin could be released in an acidic condition. The release of tamsulosin decreased with increasing thickness of HPMCP membrane while the release rates of tamsulosin from those having different HPMCP thickness in pH 7.2 aqueous media were not considerably different, indicating that the enteric film was promptly dissolved at pH 7.2. These results clearly suggest that the sustained-release oral delivery system for tamsulosin could be designed with satisfying drug release profile approved by the KFDA.

• 한국멀티미디어학회:학술대회논문집
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• 한국멀티미디어학회 2002년도 추계학술발표논문집
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• pp.101-109
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• 2002

본고에서는 움직이는 물체를 추적하는 알고리즘을 제시한다. 이미지의 색상에 대한 불변치를 활용하여 비디오 클립에서 물체 영역을 추출하고 co-occurrence matrix를 구한 후 인접 프레임 간의 대응되는 물체를 결정하여 물체의 괘적을 추적한다. 물체 영역에 적응되는 특징값들의 분리정도치를 활용하여 시스템의 성능을 향상시키는 방법과 실험 결과를 제시한다.