• Journal of the Korean Statistical Society
• /
• v.33 no.2
• /
• pp.159-167
• /
• 2004

We present a simple approach to finding the stationary workload of M/G/1 queues having generalized vacations and exhaustive service discipline. The approach is based on the level crossing technique. According to the approach, all that we need is the workload at the beginning of a busy period. An example system to which we apply the approach is the M/G/1 queue with both multiple vacations and D-policy.

• Bulletin of the Korean Mathematical Society
• /
• v.58 no.3
• /
• pp.573-591
• /
• 2021

We study the equivariant Gromov-Witten theory of ℙ^r-1 for all r ≥ 2. We prove a polynomiality property in r of the Gromov-Witten classes of ℙ^r-1. Using this polynomiality property, we define a set of polynomial valued classes in $H^*({\bar{M}}_{g,n})$ which generalize the limit of Witten's s-spin classes studied by Pandharipande, Pixton and Zvonkine.

• The Pure and Applied Mathematics
• /
• v.23 no.1
• /
• pp.1-12
• /
• 2016

This paper shows that the solutions to the perturbed differential system $y^{\prime}=f(t, y)+\int_{to}^{t}g(s,y(s),Ty(s))ds+h(t,y(t))$ have asymptotic property and uniform Lipschitz stability. To show these properties, we impose conditions on the perturbed part $\int_{to}^{t}g(s,y(s),Ty(s))ds+h(t,y(t))$, and on the fundamental matrix of the unperturbed system y' = f(t, y).

• Journal of the Chungcheong Mathematical Society
• /
• v.30 no.1
• /
• pp.103-116
• /
• 2017

In this paper, we show that the solutions to perturbed differential system $$y^{\prime}=f(t,y)+{{\displaystyle\smashmargin{2}{\int\nolimits_{t_0}}^{t}}g(s,y(s),T_1y(s))ds+h(t,y(t),T_2y(t))$$ have asymptotic property by imposing conditions on the perturbed part ${\int_{t_0}^{t}}g(s,y(s),T_1y(s))ds,h(t,y(t),T_2y(t))$, and on the fundamental matrix of the unperturbed system y' = f(t, y).

• Human Ecology Research
• /
• v.59 no.1
• /
• pp.13-21
• /
• 2021

In order to examine the changes in the appearance properties and the post-adhesion appearance properties of Hanji yarn blended fabrics : 100% Hanji yarn fabric, two kinds of cotton / Hanji yarn blended fabrics and 100% cotton fabric, were selected and fused with three kinds of interlinings. After fusing, changes of standardized KES values were examined. 1. W/T, B/W of Hanji yarn blended fabrics was higher than that cotton fabric. WC/W, 2HB/W, 2HB/B, and 2HG/G values of Hanji yarn blended fabrics are lower than cotton fabric. This means that the Hanji yarn was mixed, shape retention, wrinkle recovery was improved, and the drape property was lowered. 2. After fusing, W/T, shape retention, wrinkle recovery of Hanji yarn blended fabrics increased, and WC/W values of Hanji yarn blended fabrics decreased. The wrinkle recovery property of Hanji yarn blended fabrics were improved; however, the 2HG/G value of Hanji yarn fabric increased due to fusing, and the wrinkle recovery property of Hanji yarn fabric decreased. 3. In the selection of adhesive core, I1 adhesive core is excellent in terms of shape stability and wrinkle recovery; however, an I3 adhesive core is recommended for drape and silhouette formation. When the fabric of the adhesive core was PET, it was found to penetrate better between the fabrics during adhesion than the case of cotton fabrics.

• Journal of the Korean Mathematical Society
• /
• v.36 no.2
• /
• pp.243-256
• /
• 1999

We will consider f,g : S1longrightarrowS2 a pair of maps between two orientable compact surfaces. The purpose of this paper is to decide when the pair can be deformed to a pair (f', g') such that

• Bulletin of the Korean Mathematical Society
• /
• v.42 no.2
• /
• pp.421-432
• /
• 2005

Suppose that an infinite graph G of bounded degree has finite number of ends, each of which is p-regular, where $1. Then we can identify all the positive (bounded, respectively) p-harmonic functions on G.

• Bulletin of the Korean Mathematical Society
• /
• v.33 no.3
• /
• pp.359-366
• /
• 1996

A linear map T from a Banach algebra A into a Banach algebra B is almost multiplicative if $\left\$\mid$ T(fg) - T(f)T(g) \right\$\mid$ \leq \in\left\$\mid$ f \right\$\mid$\left\$\mid$ g \right\$\mid$(f,g \in A)$ for some small positive $\in$. B.E.Johnson [4,5] studied whether this implies that T is near a multiplicative map in the norm of operators from A into B. K. Jarosz [2,3] raised the conjecture : If T is an almost multiplicative functional on uniform algebra A, there is a linear and multiplicative functional F on A such that $\left\$\mid$ T - F \right\$\mid$ \leq \in', where \in' \to 0$ as $\in \to 0$. B. E. Johnson [4] gave an example of non-uniform commutative Banach algebra which does not have the property described in the above conjecture. He proved also that C(K) algebras and the disc algebra A(D) have this property [5]. We extend this property to a derivation on a Banach algebra.

• Honam Mathematical Journal
• /
• v.39 no.3
• /
• pp.431-442
• /
• 2017

For a quadrilateral P, we consider the centroid $G_0$ of the vertices of P, the perimeter centroid $G_1$ of the edges of P and the centroid $G_2$ of the interior of P, respectively. We denote by M the intersection point of two diagonals of P. If P is a parallelogram, then we have $G_0=G_1=G_2=M$. Conversely, one of $G_0=M$ and $G_2=M$ implies that P is a parallelogram. In this paper, we show that $G_1=M$ is also a characteristic property of parallelograms.

• Journal of applied mathematics & informatics
• /
• v.35 no.1_2
• /
• pp.59-74
• /
• 2017

A radio labeling of a graph G is a function $f:V(G){\rightarrow}\{1,2,{\ldots},k\}$ with the property that ${\mid}f(u)-f(v){\mid}{\geq}1+diam(G)-d(u,v)$ for every pair of vertices $u,v{\in}V(G)$, where diam(G) and d(u, v) are diameter and distance between u and v in the graph G respectively. The radio number of a graph G, denoted by rn(G), is the smallest integer k such that G admits a radio labeling. In this paper, we completely determine radio number of all transformation graphs of a path.