• The Pure and Applied Mathematics
• /
• v.18 no.2
• /
• pp.141-155
• /
• 2011

We compute zeta functions of 1-solenoids. When our 1-solenoid is nonorientable, we compute Artin-Mazur zeta function and Lefschetz zeta function of the 1-solenoid and its orientable double cover explicitly in terms of adjacency matrices and branch points. And we show that Artin-Mazur zeta function of orientable double cover is a rational function and a quotient of Artin-Mazur zeta function and Lefschetz zeta function of the 1-solenoid.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
• /
• 2005.11a
• /
• pp.287-292
• /
• 2005

This paper presents a rational polynomial approximation method to estimate modal parameters of wind excited structures using incomplete noisy measurements of structural responses and partial measurements of wind velocities only. A stochastic model of the excitation wind force acting on the structure is estimated from partial measurements of wind velocities. Then the transfer functions of the structure are approximated as rational polynomial functions. From the poles and zeros of the estimated rational polynomial functions, the modal parameters, such as natural frequencies, damping ratios, and mode shapes are extracted. Since the frequency characteristics of wind forces acting on structures can be assumed as a smooth Gaussian process especially around the natural frequencies of the structures according to the central limit theorem (Brillinger, 1969; Yaglom, 1987), the estimated modal parameters are robust and reliable with respect to the assumed stochastic input models. To verify the proposed method, the modal parameters of a TV transmission tower excited by gust wind are estimated. Comparison study with the results of other researchers shows the efficacy of the suggested method.

• Journal of Mechanical Science and Technology
• /
• v.20 no.5
• /
• pp.658-667
• /
• 2006

Fractional derivative models, which are used to describe the viscoelastic behavior of material, have received considerable attention. Thus it is necessary to put forward the analysis solutions of dynamic systems containing a fractional derivative. Although previously reported such kind of fractional calculus-based constitutive models, it only handles the particularity of rational number in part, has great limitation by reason of only handling with particular rational number field. Simultaneously, the former study has great unreliability by reason of using the complementary error function which can't ensure uniform real number. In this paper, a new approach is proposed for an analytical scheme for dynamic system of a spring-mass-damper system of single-degree of freedom under general forcing conditions, whose damping is described by a fractional derivative of the order $0<{\alpha}<1$ which can be both irrational number and rational number. The new approach combines the fractional Green's function and Laplace transform of fractional derivative. Analytical examples of dynamic system under general forcing conditions obtained by means of this approach verify the feasibility very well with much higher reliability and universality.

• Korean Journal of Human Ecology
• /
• v.13 no.4
• /
• pp.569-579
• /
• 2004

This study categorizes consumers by the style of consumers' purchase behavior, and examines the differences in consumers' attitudes toward environment and pro-environmental behavior in the stage of purchase, usage, and disposal. The results of this study are summarized below: First, The style of consumers' purchase behavior can be categorized on a basis of four factors: fashioned-demonstrative consumer group focusing on fashion and demonstration effects when purchasing; rational consumer group more likely to concern price, quality, and product function; indifferent consumer group having no interest in purchasing; and fashioned-functional consumer group who values not only fashion but function. Second, the result of investigating the differences of consumers' attitudes toward environment reveals that the level of concern and awareness for environment is highest in rational consumer group, but lowest in indifferent consumer group. Also, it is higher in fashioned-functional consumer group than in fashioned-demonstrative consumer group. Lastly, the level of pro-environmental behavior in the stage of purchase, usage, and disposal is highest in rational consumer group, but lowest in indifferent consumer group. The level of pro-environmental behavior in usage stage is inactive in fashioned-demonstrative consumer group, whereas that in disposal stage is active in fashioned-functional consumer group for fashioned-demonstrative consumer group. It was so, especially in the area of not-being-a-litterbug.

• ETRI Journal
• /
• v.33 no.4
• /
• pp.537-546
• /
• 2011

This paper introduces an automated method for building height recovery through the integration of high-resolution satellite images and digital vector maps. A cross-correlation matching method along the vertical line locus on the Ikonos images was deployed to recover building heights. The rational function models composed of rational polynomial coefficients were utilized to create a stereopair of the epipolar resampled Ikonos images. Building footprints from the digital maps were used for locating the vertical guideline along the building edges. The digital terrain model (DTM) was generated from the contour layer in the digital maps. The terrain height derived from the DTM at each foot of the buildings was used as the starting location for image matching. At a preset incremental value of height along the vertical guidelines derived from vertical line loci, an evaluation process that is based on the cross-correlation matching of the images was carried out to test if the top of the building has reached where maximum correlation occurs. The accuracy of the reconstructed buildings was evaluated by the comparison with manually digitized 3D building data derived from aerial photographs.

• Journal of the Chungcheong Mathematical Society
• /
• v.22 no.4
• /
• pp.717-725
• /
• 2009

We show that to every real polynomial of degree n, there corresponds a certain basis for the space of polynomials of degree less than or equal to (n-1). As an application, we give a new proof for the existence and uniqueness of the partial fraction decomposition of a rational function.

• Journal of applied mathematics & informatics
• /
• v.8 no.3
• /
• pp.899-907
• /
• 2001

Complex variable methods are used to solve the first and the second fundamental problems for infinite plate with two holes having arbitrary shapes which are conformally mapped on the domain outside of the unit circle by means of rational mapping function. Some applications are investigated and some special cases are derived.

• Journal of the Chungcheong Mathematical Society
• /
• v.24 no.4
• /
• pp.919-920
• /
• 2011

For two even unimodular positive definite integral quadratic forms A[X], B[X] in n-variables, J. K. Koo [1, Theorem 1] showed that ${\theta}_A(\tau)/{\theta}_B(\tau)$ is a rational function of J, satisfying a certain condition. Where ${\theta}_A(\tau)$ and ${\theta}_B(\tau)$ are theta series related to A[X] and B[X], respectively, and J is the classical modular invariant. In this paper we give a simple proof of Theorem 1 of [1].

• Journal of the Chungcheong Mathematical Society
• /
• v.29 no.4
• /
• pp.599-611
• /
• 2016

Let $k={\mathbb{F}}_q(t)$ be a rational function field over the finite field ${\mathbb{F}}_q$. In this paper we obtain formulas of average values of L-functions of some family of Artin-Schreier extensions over k.

• Journal of applied mathematics & informatics
• /
• v.9 no.2
• /
• pp.745-751
• /
• 2002

In this paper, we Shall find the unique rational price associated with the exchange option. Also, we find the decomposition of Snell envelope and value function of the American exchange option.