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On Formanek's central polynomials
이우 한국전산응용수학회 2008 Journal of applied mathematics & informatics Vol.26 No.3-4
Formanek([2]) proved that Mn(K), the matrix algebra has a nontrivial central polynomial when charK = 0. Also Razmyslov([3]) showed the same result using the essential weak identity. In this article we explicitly compute Formanek’s central polynomial for M₂(C) and M₃(C) and classify the coefficients of the central polynomial.
이우 한국전산응용수학회 2009 Journal of applied mathematics & informatics Vol.27 No.5
Nagata[3] and Higman[1] showed that nil-algebra of the nilindex n is nilpotent of finite index. In this paper we show that the bounded degree of the nilpotency is less than or equal to 2n −1. Our proof needs only some elementary fact about Vandermonde determinant, which is much simpler than Nagata’ or Higman’ proof. Nagata[3] and Higman[1] showed that nil-algebra of the nilindex n is nilpotent of finite index. In this paper we show that the bounded degree of the nilpotency is less than or equal to 2n −1. Our proof needs only some elementary fact about Vandermonde determinant, which is much simpler than Nagata’ or Higman’ proof.
On New Identities for 3 by 3 Matrices
이우 한국전산응용수학회 2008 Journal of applied mathematics & informatics Vol.26 No.5
In this paper we show that the polynomial of degree 9 called generalized algebraicity is a polynomial identity for 3 × 3 matrices. ([5])
The Poincare series of generic 2 by 2 matrices
이우 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.18 No.1-2
In [1], the structure of C(2, 2) is determined as the polynomial ring in 5 variables. In this work, we show that C(2, 3) is a free module over the subring of 9 variables. We explicitly give a presentation of C(2, 3) as free module over the polynomial ring.
The ring of invariants of 3 by 3 matrices
이우 한국전산응용수학회 2006 Journal of applied mathematics & informatics Vol.22 No.1-2
The ring of invariants of two 2 by 2 matrices C(2, 2) is a polynomial ring with 5 variables [1]. In this paper we find the system of parameters of C(3, 2) by Groebner bases.
이우,김상현,오승홍,김원중 한국전자통신학회 2022 한국전자통신학회 논문지 Vol.17 No.1
현재 광양항을 비롯한 수출입 항만에서 선박의 관제, 예선, 도선 작업은 선사와 상관없이 입출항 순서 등과 같은 요소에 따라 공동 배선제로 운영되고 있다. 또한 이것마저도 수작업에 의해서 매우 비효율적으로 이루어지고 있다. 따라서 선박의 접·이안 등에 대한 업무의 표준화와 디지털화를 통하여 항만 및 선박 운용의 효율성을 높이기 위한 시스템의 개발이 절실히 요청되고 있다. 본 연구에서는 선박의 위치정보, 도예선 스케쥴, 입출항 운영정보, 기상정보 등과 같은 빅데이터에 기반한 스마트 항만 운용시스템을 설계하여 항만 및 선박 운용의 효율성을 높이는 방안을 제시하였다.
이우,신민호,김경훈 경희대학교 산학협력기술연구원 2006 산학협력기술연구논문집 Vol.12 No.2
Nowaday, the amount of using water is increasing and many people are interested and many people are interested in studying which is related to clean water. Redox is one of water cleaning equipment by using a voltaic cell theory. The present study explain background theories and influences of environment to humus in Redox. By the accurate consideration of electric and chemical characteristics in Redox, numerical data is gotten through experiments of influence in material characteristic and electromotive force of Redox. In this experiment, we used some materials which are common things consisting of pipe(Fe, Cu, STS304). And Reynolds number is set to 5.0x104. The purpose of this experiment is verifying performance of Redox through analytical consequences of quantified data.