• Bulletin of the Korean Mathematical Society
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• v.35 no.4
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• pp.629-640
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• 1998

The original work for representing derivative operators in the wavelet bases was done by Beylkin in [2]. In this paper we present an alternative and easier derivation.

• Journal of the Korea Society of Computer and Information
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• v.21 no.3
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• pp.33-38
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• 2016

Research on the development of key technologies of social work protection and content mashup tools has been carried out as an R&D project granted by the Korea Copyright Commission from 2013. The research aims to provide efficiency of the production environment of the secondary work of the digital contents as well as a systematic solution to the regulation-related problems. The essential features of the distribution management system for cooperative works developed though this study are the decision of the selling prices reflecting various license fee factors and the transparent distribution of the license fees. This paper represents a model which can automatically calculate the amount of the license fee in each derivative stage, independently of the license fee policies on each of the subsidiary contents when N-th works are producted on the basis of a previously approved first work.

• Korean Journal of Mathematics
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• v.23 no.4
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• pp.503-519
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• 2015

In this work, certain classes of admissible functions are considered. Some strong dierential subordination and superordination properties of analytic functions associated with new generalized derivative operator $B^{{\mu},q,s}_{{\lambda}_1,{\lambda}_2,{\ell},d}$ are investigated. New strong dierential sandwich-type results associated with the generalized derivative operator are also given.

• Communications of the Korean Mathematical Society
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• v.37 no.3
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• pp.723-734
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• 2022

In this work, we introduce a new subclass of analytic functions of complex order involving the (p, q)-derivative operator defined in the open unit disc. For this class, several Fekete-Szegö type coefficient inequalities are derived. We obtain the results of Srivastava et al. [22] as consequences of the main theorem in this study.

• Journal for History of Mathematics
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• v.28 no.2
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• pp.103-115
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• 2015

Contemporary differential geometry owes much to the theory of connections on the bundles over manifolds. In this paper, following the work of Gauss on surfaces in 3 dimensional space and the work of Riemann on the curvature tensors on general n dimensional Riemannian manifolds, we will investigate how differential geometry had been developed from mid 19th century to early 20th century through lives and mathematical works of Christoffel, Ricci-Curbastro and Levi-Civita. Christoffel coined the Christoffel symbol and Ricci used the Christoffel symbol to define the notion of covariant derivative. Levi-Civita completed the theory of absolute differential calculus with Ricci and discovered geometric meaning of covariant derivative as parallel transport.

• Journal of Applied and Pure Mathematics
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• v.4 no.5_6
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• pp.233-247
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• 2022

This manuscript addressed, the existence and uniqueness result for random impulsive stochastic functional differential equations with finite time delays. The study of random impulsive stochastic system is a new area of research. We interpret the meaning of a stochastic derivative and how it differs from the classical derivative. We prove the existence and uniqueness of mild solutions to the equations by using the successive approximation method. We conclude the article with some interesting future extension. This work extends the work of [18, 12, 20]. Finally, an example is given to illustrate the theoretical result.

• Bulletin of the Korean Chemical Society
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• v.25 no.12
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• pp.1764-1768
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• 2004

The present work reports on the investigations based on the interaction of sodium hydroxide with catechol derivatives. The first derivative spectra allowed the simultaneous determination of levodopa and carbidopa. The calibration graph was constructed from the first derivative signals by measuring $^1D$ at 350 nm for standard samples containing between 3 and 30 mg $L^{-1}$ of levodopa and at 305 nm for standard samples containing between 3 and 80 mg $L^{-1}$ of carbidopa. This method offers the advantages of simplicity, rapidity, selectivity and higher sensitivity than most of the existing spectophotometric methods.

• Journal of Korean Theatre Studies Association
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• no.40
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• pp.401-450
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• 2010

This thesis purposes to suggest that creative stage directors have copyright ownership and we make them create high-quality of theatre direction. Stage directors are sincere creator of the theatre stage today. We have little judicial precedents about stage directors, no artistic examination related directing. Stage directors are performers who have neighboring rights, there is a problem that they won't have the exclusive right of making derivative works in this country. Others will make creation (such as cinemas, animations, novels) based on stage expression without permission, because stage directors don't have exclusive right of making derivative works. Copyright law can't protect the concept of stage directors and building blocks of them which are drama text, actors and theatre space, because copyright law don't protect idea according to idea/expression dichotomy. The expression of stage direction is belong to five fundamentals which are composition, picturization, movement, rhythm, pantomimic dramatization that are come from Dean & Carra's work. Directors' work is to make theatrical works based on literary works. Therefore, theatrical works are derivative works which based on drama texts. Also, theatrical works are able to be joint works. In the case of that stage directors write drama text and create expression on the stage, they have to own authorship of both works. Merger doctrine should not apply theatre directors' works strictly like any other functional works because stage directors usually create noble expression which have been not before. We need shift of the definition of theatrical works which are derivative works or joint works to protect theatre directors' creativity. Hereafter, the special legal section for dramatic(theatrical) works including the flexible legal definition for performing arts should be established, and 'contract form' for stage directors should be made. Acting edition(literary works) should be published to grant creative directors compensation. I emphasize to grant ownership of copyright to creative stage directors, to encourage directors' works. Therefore, copyright law will be the support for development of cultural arts institutionally.

• Journal of the Korean Chemical Society
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• v.40 no.8
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• pp.549-556
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• 1996

This work describes studies aimed at the synthesis of simple analogs of antibiotic tetracycline(TC) and flavonoid. The synthesis of proposed analogs of tetracycline and flavonide has been accomplished from readily available compounds 9 and 15. The 1,3-cyclohexanedione derivative 9 was transformed to the benzoate derivative 12 followed by base-mediated intramolecular benzoylation to give the bicyclic TC-analog 13. The bicyclic TC-analog 25 and the flavonoid-analogs 26 and 27 have been prepared from the quinol derivative 15.

• Proceedings of the Korean Society of Machine Tool Engineers Conference
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• 2002.04a
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• pp.543-550
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• 2002

This work is concerned with the estimation of output derivatives and their use for the design of robust controller for linear systems with systems uncertainties due to modeling errors and disturbance. It is assumed that a nominal transfer function model and Quantitative bounds for system uncertainties are known. The developed control schemes are shown to achieve regulation of the system output and ensures boundedness of the system states without imposing any structural conditions on system uncertainties and disturbances. Output derivative estimation is first conducted trough restructuring of the plant in a specific parameterization. They are utilized for constructing robust nonlinear high-gain feedback controller of a SMC(Sliding Mode Controller) Type. The performances of the developed controller are evaluated and shown to be effective and useful through simulation study.