• ICROS
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• v.1 no.1
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• pp.50-50
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• 1995

It has been pointed out in the literature that the Routh approximation method for order reduction has limitations in treating transfer functions with the denominator-numerator order difference not equal to one. The purpose of this paper is to present a new algorithm based on the Routh approximation method that can be applied to general rational transfer functions, yielding reduced models with arbitrary order.

• Journal of the Chungcheong Mathematical Society
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• v.27 no.4
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• pp.753-762
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• 2014

A three-step sextic simple-root finder is constructed with the use of weighting functions of derivative-to-derivative ratios. Their convergence and computational properties are investigated along with concrete numerical examples to verify the theoretical analysis.

• Korean Journal of Cognitive Science
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• v.27 no.1
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• pp.61-99
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• 2016

This research investigated that participants' response time and recognition in the decision-making situation would vary according to either rational or emotional stimuli and analyzed how brain functions are related to each type of stimuli by means of fMRI. We tried to address the difference of cognitive processing between rational stimuli and emotional stimuli in the perspective of information processing theory. In order to achieve the research purpose above, we conducted two kinds of experiment studies. In study 1, subjects conducted decision-making task which selected which kind of information type the stimuli was after stimuli - rational stimuli or emotional stimuli - was randomly seen during experiment. During this experiment, we investigated the effect of each stimuli by measuring the duration from the onset time at which stimuli was shown to the response time at which subjects conducted decision-making. Furthermore, we compared the brain functions by finding out what kinds of brain areas were activated during the decision-making task. In study 2, subjects conducted recognition task at which subjects made a decision whether the stimuli was sees in the previous experiment or not. During the second experiment, we investigated the recognition effect by measuring the memory for each stimuli type. Moreover, we compared the cognitive processes during recognition by analyzing the differences of brain area functions. The results of two experiments above were as following. Firstly, regarding the response time as the effect of stimuli, we found that the effect of emotional stimuli was higher than that of rational stimuli. And regarding the recognition as the effect of stimuli, it was found that the effect of rational stimuli was higher than that of emotional stimuli. Secondly, the explanation about the characteristics of cognitive processes with the result of behavioral response by analyzing brain functions was as following. First of all, regarding the decision-making task which conducted for analyzing the effect of response time, the relatively high activated brain areas of rational stimuli were related with the functions of movement control or working memory, and the relatively high activated brain areas of emotional stimuli were connected with the functions of lingual processing.

• International Journal of Control, Automation, and Systems
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• v.5 no.4
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• pp.471-478
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• 2007

In this paper, an optimal Wiener-Hopf decoupling controller formula is obtained which is expressed in terms of rational matrices, thereby readily allowing the use of state-space algorithms. To this end, the characterization formula for the class of all realizable decoupling controller is formulated in terms of rational functions. The class of all stabilizing and decoupling controllers is parametrized via the free diagonal matrices and the optimal decoupling controller is determined from these free matrices.

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

• 한국전산유체공학회:학술대회논문집
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• 2007.04a
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• pp.108-111
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• 2007

A fast and robust method of grid generation to multiple functions has been developed for flow analysis in three dimensional space. It is based on the Non-Uniform Rational B-Spline of an approximation method. The grid generation method, details of numerical implementation. examples of application, and potential extensions of the current method are illustrated in this paper.

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

• Korean Journal of Logic
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• v.7 no.1
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• pp.1-22
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• 2004

The Kantian idea that some judgments are synthetic even in the area of a priori judgments cannot be accepted in its original version, but a modification of the notions 'analytic' and 'synthetic' discovers a rational core of that idea. The new definition of 'analytic' concerns concepts and makes it possible to distinguish between analytic concepts, which are effective ways of computing recursive functions, and synthetic concepts, which either define non-recursive functions, or define recursive functions in an ineffective way. To justify this claim we have to construe concepts as abstract procedures not reducible to set-theoretical entities.

• Kyungpook Mathematical Journal
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• v.60 no.1
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• pp.117-125
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• 2020

In this paper, we first introduce new classes of Lipschitz algebras of infinitely differentiable functions which are extensions of the standard Lipschitz algebras of infinitely differentiable functions. Then we determine the maximal ideal space of these extended algebras. Finally, we show that if X and K are uniformly regular subsets in the complex plane, then R(X, K) is natural.

• Honam Mathematical Journal
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• v.43 no.4
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• pp.627-639
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• 2021

Numerical techniques are used to determine the radius of convexity of the starlike functions related to cardioid shaped bounded domain. In addition, radius constants of certain starlikeness associated with right half plane of various starlike functions are computed.