• Journal of applied mathematics & informatics
• /
• v.32 no.3_4
• /
• pp.529-537
• /
• 2014

The paper introduces a new product of polynomials defined over a field. It is a generalization of the ordinary product with inner polynomial getting non-overlapping segments obtained by multiplying with coefficients and variable with expanding powers. It has been called 'Ordered Power Product' (OPP). Considering two rings of polynomials $R_m[x]=F[x]modulox^m-1$ and $R_n[x]=F[x]modulox^n-1$, over a field F, the paper then considers the newly introduced product of the two polynomial rings. Properties and algebraic structure of the product of two rings of polynomials are studied and it is shown to be a ring. Using the new type of product of polynomials, we define a new product of two cyclic codes and devise a method of getting a cyclic code from the 'ordered power product' of two cyclic codes. Conditions for the OPP of the generators polynomials of component codes, giving a cyclic code are examined. It is shown that OPP cyclic code so obtained is more efficient than the one that can be obtained by Kronecker type of product of the same component codes.

• Communications for Statistical Applications and Methods
• /
• v.22 no.6
• /
• pp.605-613
• /
• 2015

A three-arm parallel design has been proposed to assess the biosimilarity between a biological product and a reference product using relative distance (Kang and Chow, 2013). The three-arm parallel design consists of two arms for the reference product and one arm for the biosimilar product. This paper extended the three-arm parallel design to a (k + 1)-arm parallel design composed of k (${\geq}3$) arms for the reference product and one arm for the biosimilar product. A new relative distance was defined based on Euclidean distance; consequently, a corresponding test procedure was developed based on asymptotic distribution. Type I error rates and powers were investigated both theoretically and empirically.

• Journal of Applied Reliability
• /
• v.2 no.2
• /
• pp.99-112
• /
• 2002

Risk financing is defined as the methods applied to fund risk treatment and the financial consequences of risk. It is a major component of the transfer of risk and the retention of risk which are, in turn, parts of the risk treatment process. This study applied the general guidelines on risk financing to product liability risk. Product liability risk occurs when potential defects in the process of design, production, and distribution lead to accidents resulting in fatal, financial, and environmental loss. Risk on product liability may be financed in many different ways, each of which may be used singularly or in combination. The most popular and recommendable way suggested in the guidelines is the retention or use of reserves, transfer, credit or insurance.

• The Transactions of the Korean Institute of Electrical Engineers A
• /
• v.53 no.4
• /
• pp.208-213
• /
• 2004

In this paper, a new method for the estimation of the effect of DSM program is proposed. By identifying the learning curve of high efficient induction motor, the effect of DSM program applied to that product can be estimated. The learning curve of normal induction motor, to which no DSM program is applied, is identified also. Both learning curves, which are different shapes, means different teaming ratio. It can be concluded that DSM program makes the learning curve of the product change the shape. It also can be concluded that DSM program has influence on the sale of the product to which it is applied.

• The Transactions of the Korean Institute of Electrical Engineers B
• /
• v.53 no.4
• /
• pp.208-208
• /
• 2004

In this paper, a new method for the estimation of the effect of DSM program is proposed. By identifying the learning curve of high efficient induction motor, the effect of DSM program applied to that product can be estimated. The learning curve of normal induction motor, to which no DSM program is applied, is identified also. Both learning curves, which are different shapes, means different teaming ratio. It can be concluded that DSM program makes the learning curve of the product change the shape. It also can be concluded that DSM program has influence on the sale of the product to which it is applied.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• v.24 no.4
• /
• pp.375-385
• /
• 2020

In this paper, a special indefinite inner product, named hyperbolic scalar product, is used and all acquired results have been raised and proved with the proviso that the space is equipped with this indefinite scalar product. The main objective is to be introduced and applied an indefinite oblique projection method, called Indefinite Lanczos J-biorthogonalizatiom process, which in addition to building a pair of J-biorthogonal bases for two used Krylov subspaces, leads to the introduction of a process for solving large non-J-symmetric linear systems, i.e., Indefinite two-sided Lanczos Algorithm for Linear systems.

• Honam Mathematical Journal
• /
• v.30 no.3
• /
• pp.551-556
• /
• 2008

In this paper, we prove the product properties of the singular Kobayashi metrics relative to the higher order Kobayashi metric.

• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 1998.06a
• /
• pp.80-82
• /
• 1998

we introduce the concept of coverings, direct products, cascade products and wreath products of T-fuzzy finite state machines and investigate their algebraic structures.

• Journal of applied mathematics & informatics
• /
• v.25 no.1_2
• /
• pp.169-181
• /
• 2007

Applying the properties of Hadamard core for totally nonnegative matrices, we give new lower bounds of the determinant for Hadamard product about matrices in Hadamard core and totally nonnegative matrices, the results improve Oppenheim inequality for tridiagonal oscillating matrices obtained by T. L. Markham.

• Journal of applied mathematics & informatics
• /
• v.20 no.1_2
• /
• pp.1-16
• /
• 2006

The classical perturbation theory is extended to the weighted Kronecker product linear systems $W(A{\bigotimes}B)W\chi=h$. Upper bounds are derived for the normwise condition number.