• 대한수학회보
• /
• 제50권3호
• /
• pp.747-752
• /
• 2013

It's known that one could use a fixed loxodromic or parabolic element in $M(\bar{\mathbb{R}}^n)$ as a test map to test the discreteness of a non-elementary M$\ddot{o}$bius group G. In this paper, we discuss the discreteness of G by using a fixed elliptic element.

• 대한수학회보
• /
• 제49권1호
• /
• pp.57-61
• /
• 2012

It is well known that one could use a fixed loxodromic or parabolic element of a non-elementary group $G{\subset}M(\bar{\mathbb{R}}^n)$ as a test map to test the discreteness of G. In this paper, we show that a test map need not be in G. We also construct an example to show that the similar result using an elliptic element as a test map does not hold.

• Kyungpook Mathematical Journal
• /
• 제61권2호
• /
• pp.249-255
• /
• 2021

The aim of this work is to study the discreteness of the spectrum of the Schrödinger operator on infinite quantum graphs in a magnetic field. The problem was solved on a set of quantum graphs of a special kind.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제17권4호
• /
• pp.275-288
• /
• 2010

A one-holed torus ${\Sigma}$(l, 1) is a building block of oriented surfaces. In this paper we formulate the matrix presentations of the holonomy group of a one-holed torus ${\Sigma}$(1, 1) by the gluing method. And we present an algorithm for deciding the discreteness of the holonomy group of ${\Sigma}$(1, 1).

• Asia Marketing Journal
• /
• 제18권4호
• /
• pp.125-138
• /
• 2017

The goal of the study is to understand how consumers' constraint as opposed to utility structure gives rise to final decision when consumers purchase more than one variant of product at a time, i.e., horizontal variety seeking or multiple-discreteness. Purchase and consumption decision not only produces utility but also involves some sort of cognitive pressure. Past consumption or last purchase is likely to be linked to this burden we face such as concern for obesity, risk of harm, and guilt for mischief. In this research, the existence and the role of dynamic constraint are investigated through a microeconomic utility model with multiple dynamic constraint. The model is applied to the salty snacks data collected from field study where burden for spiciness serves as a constraint. The results are compared to the conventional multiple discreteness choice models of static constraints, and policy implications on price discounts is explored. The major findings are that first, one would underestimate the level of consumer preference for product offerings when ignoring the carry-over of the concern from the past consumption, and second, the impact of price promotion on demand would be properly evaluated when the model allows for the role of constraint as both multiple and dynamic. The current study is different from the existing studies in two ways. First, it captures the effect of 'mental constraint' on demand in formal economic model. Second, unlike the state dependence well documented in the literature, the study proposes the notion of state dependence in different way, via constraint rather than utility.

• 한국수학교육학회지시리즈A:수학교육
• /
• 제22권1호
• /
• pp.67-68
• /
• 1983

In this note we consider properties for the discreteness of the spectrum of second-order differential operators. If we give some conditions, then the spectrum of any self-adjoint extension of $A_{0}$ , $A_{0}$ u=$\alpha$[u], D( $A_{0}$ )= $C_{0}$ $^{\infty}$(0.1) is discrete.1) is discrete.

• 응용통계연구
• /
• 제16권1호
• /
• pp.71-85
• /
• 2003

일정 시간간격으로 품질을 측정하는 공정관리절차의 경제적 설계에서는 그 특성의 규명이 측정시점의 이산성 (discreteness) 때문에 복잡하고 어렵다. 이 논문에서는 공정 탐색 절차를 Markov 연쇄(chain)로 표현하는 과정을 개발하였고, 공정분포가 공정주기 내에서 발생하는 잡음과 이상원인의 효과를 설명할 수 있는 ARIMA(0,1,1) 모형을 따를 때에 Markov 연쇄의 표현을 이용하여 공정탐색절차의 특성을 도출하였다. Markov 연쇄의 특성은 전이행렬에 따라 달라지며, 전이행렬은 관리절차와 공정분포에 의해 결정된다. 이 논문에서 도출된 Markov 연쇄의 표현은 많은 다른 형태의 관리절차나 공정분포에서도 그에 해당하는 전이행렬을 구하면 쉽게 적용될 수 있다.

• Asia Marketing Journal
• /
• 제22권1호
• /
• pp.41-60
• /
• 2020

The goal of the study is to understand the role of social norm in purchase decisions where demand is revealed in the form of multiple-discreteness. Consumers are socially engaged in various activities through the expectation from others in their community. Actions or decisions are likely to reflect this influence. This implicit or explicit social norm is revealed as the rules, regulations, and standards that are understood, shared, endorsed, and expected by group members. When consumers' decisions are in distance from the norm, they come to face discomfort such as shame, guilt, embarrassment, and anxiety. These pressure act as a constraint as opposed to utility in their decision making. In this study, the effect of social norms on consumer demand is captured via multiple constraint model where constraints are not only from budget equation but also from psychological burden induced by the deviation from the norm. The posterior distributions of model parameters were estimated via conjoint study allowing for heterogeneity via hierarchical Bayesian framework. Individual characteristics such as age, gender and work experience are also used as covariates for capturing the observed heterogeneity. The empirical results show the role of social norm as constraint in consumers' utility maximization. The proposed model accounting for social constraint outperforms the standard budget constraint-only model in terms of model fit. It is found that people with longer job experience tend to be more robust and resistant to the deviation from the norm. Incorporating social norm into the utility model allows for another means to disentangle the reason for no-purchase as 'not preferred' and 'not able to buy'.

• 한국경영과학회지
• /
• 제11권2호
• /
• pp.13-26
• /
• 1986

This paper considers the routing problem in session-based communication network, particularly where the pattern of message transmission is characterized by non-bifurcated traffic flows. Due to the discreteness property of its solution space, the problem is formulated as normalized mlticommodity network flows with integer restrictions and an effective penalty system is suggested to solve it. To show its effectiveness, a simple example and a preliminary computational experience are provided. Finally, numerous application areas of the algorithm are suggested.

• 한국전산유체공학회지
• /
• 제3권1호
• /
• pp.82-88
• /
• 1998

As a par of a project related to the development of the design algorithm of a compact heat exchanger for the application of the electronic home appliances, the effect of the discreteness of the airflow boundary generated on the cooling fin surface on the heat transfer and pressure drop characteristics of the heat exchanger was studied numerically. In general, there are two critical design parameters seriously considered in the design of the heat exchanger; heat transfer rate(Q) and pressure drop coefficient(C/sub p/). Even though the higher heat transfer rate with lower pressure drop characteristics is required in a design of the heat exchanger, it is not an easy job to satisfy both conditions at the same time because these two parameters are phenomenally inversely proportional. To control the boundary layer thickness and its length along the streamline, the surface of the flat fin was modified to accelerate the heat transfer rate on the fin surface. To understand the effect of the discreted fin size(S/sub w/) and its location(S/sub h/) on the performance of the heat exchanger in the airflow field, the flat fin was modified as shown in Fig. 1. From this study, it was found that the smaller and more number of slits on the fin surface showed the higher energy diffusion rate. It means that the discreteness of the boundary layer is quite important on the heat transfer rate of the heat exchanger. On the other hand, if the fin surface configuration is very complex than needed, higher static pressure drop occurs than required in a system and it may be a reason of the induced aerodynamic noise in the heat exchanger.