• Kyungpook Mathematical Journal
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• v.51 no.4
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• pp.419-427
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• 2011

In this paper, making use of transformation due to S. N. Singh [21], an at-tempt has been made to establish certain results involving basic bilateral hypergeometric series and continued fractions.

• Communications of the Korean Mathematical Society
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• v.29 no.1
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• pp.173-185
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• 2014

In the present paper, we consider an anomalous diffusion problem in two dimensional space involving Caputo time and Riesz-Feller fractional derivatives and then solve it by using a series involving bilateral eigen-functions. Also, we obtain a numerical approximation formula of this problem and discuss some of its particular cases.

• The Journal of Economics, Marketing and Management
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• v.6 no.4
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• pp.29-39
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• 2018

Purpose - With the improvement of people's living standards, traveling abroad has become a common way for people to release the pressure of life and work. In economics, this kind of way can affect the international trade. Because of this background, this paper sets BRICS countries as an example to explore the impact of cross-border tourism on bilateral trade. Research design, data, and Methodology - The annual time series data sets form 1998 to 2016 are used to perform an empirical analysis under a series of econometric approaches such as the Phillips-Perron test and the Engle-Granger two-step test. In this paper, the cross-border tourism and the bilateral trade will be used to conduct an empirical analysis based on the econometric approaches to analyze the impact of cross-border tourism on bilateral trade. Results - The finding of this paper show that there is a long-run relationship between cross-border tourism and bilateral trade in this sample. Moreover, the cross-border tourism is the Granger causality of bilateral trade. Namely, the cross-border tourism can promote the development of bilateral trade. Conclusions - In short, the evidences that this paper presents show that the cross-border tourism is a driving factor that impacts the bilateral trade in the sample of BRICS countries.

• Journal of the Chungcheong Mathematical Society
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• v.18 no.2
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• pp.117-129
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• 2005

We give a generalization of bilateral mock theta functions of order eight and show that they are $F_q$-functions. We also give an integral representation for these functions. We give a relation between mock theta functions of the first set and bilateral mock theta functions of the second set.

• Bulletin of the Korean Mathematical Society
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• v.57 no.2
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• pp.345-354
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• 2020

In this paper, we first give some representations for four new mock theta functions defined by Andrews [1] and Bringmann, Hikami and Lovejoy [5] using divisor sums. Then, some transformation and summation formulae for these functions and corresponding bilateral series are derived as special cases of ₂𝜓₂ series $${\sum\limits_{n=-{{\infty}}}^{{\infty}}}{\frac{(a,c;q)_n}{(b,d;q)_n}}z^n$$ and Ramanujan's sum $${\sum\limits_{n=-{{\infty}}}^{{\infty}}}{\frac{(a;q)_n}{(b;q)_n}}z^n$$.

• Kyungpook Mathematical Journal
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• v.50 no.2
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• pp.307-314
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• 2010

By introducing a homogeneous kernel of 0-degree with an independent parameter and estimating the weight coefficient, a bilateral form of the Hilbert-type series inequality with a best constant factor is established.

• Transactions on Control, Automation and Systems Engineering
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• v.4 no.1
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• pp.100-107
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• 2002

The advanced bilateral control algorithm, which can enlarge a reflected force by combining force reflection and compliance control, greatly enhances workability in teleoperation. In this scheme the maximum boundaries of a compliance controller and a force reflection gain guaranteeing stability and good task performance greatly depend upon characteristics of a slave arm, a master arm, and an environment. These characteristics, however, are generally unknown in teleoperation. It is, therefore, very difficult to determine such maximum boundary of the gain. The paper presented a novel method for design of an advanced bilateral controller. The factors affecting task performance and stability in the advanced bilateral controller were analyzed and a design guideline was presented. The neurofuzzy compliance model (NFCM)-based bilateral control proposed herein is an algorithm designed to automatically determine the suitable compliance for a given task or environment. The NFCM, composed of a fuzzy logic controller (FLC) and a rule-learning mechanism, is used as a compliance controller. The FLC generates compliant motions according to contact forces. The rule-learning mechanism, which is based upon the reinforcement learning algorithm, trains the rule-base of the FLC until the given task is done successfully. Since the scheme allows the use of large force reflection gain, it can assure good task performance. Moreover, the scheme does not require any priori knowledge on a slave arm dynamics, a slave arm controller and an environment, and thus, it can be easily applied to the control of any telerobot systems. Through a series of experiments effectiveness of the proposed algorithm has been verified.

• Journal of Korean Neurosurgical Society
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• v.49 no.1
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• pp.65-67
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• 2011

The detailed clinical characteristics of unilateral moyamoya disease (MMD) have not been fully elucidated. It has been reported that some patients with unilateral MMD progress to bilateral involvement, while others remain with the unilateral variant In this series, we present a case of unilateral MMD that progressed to bilateral involvement over the course of just one month.

• The Korean Journal of Air & Space Law and Policy
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• v.22 no.1
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• pp.163-186
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• 2007

Charter flight in international air law has, from very beginning, not precisely defined by the International Civil Aviation Organization (lCAO) since 1947 when it came into being. By practice, the operation of charter traffic is, in its very beginning, the subject to the regulations of national rules and bilateral charter agreements (charter annex clause) within the framework of normal bilateral agreement of international air services. Taiwan had signed a series of bilateral air service agreement under the name of the Government of the Republic of China when Taiwan was recognized by the United Nations and major members of international community as the sole legal government representing China before 1971, but that situation was changed since then. Taiwan has only maintained diplomatic relations with 25 States, but maintained semi-official relations with major powers of the world. The former agreements were signed within the framework of the Vienna Convention on the Law of Treaties of 1969 while the latter agreements were signed within the framework of administrative and civil law of two countries which were not in the form of bilateral treaty signed by two sovereign States in its proper sense of international law. The legal regime of charter flights between Taiwan and Mainland China is regulated by special arrangements negotiated by delegated airlines and airlines association or private law institutions.

• Communications of the Korean Mathematical Society
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• v.32 no.4
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• pp.999-1008
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• 2017

By mainly using certain properties arising from the semisimple Lie group SO(2, 1), we aim to show how a family of some interesting formulas for bilateral series and integrals involving Whittaker, Bessel functions, and their product can be obtained.