• East Asian mathematical journal
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• v.31 no.3
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• pp.301-310
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• 2015

In this paper, we establish a strong convergence for the Noor iterative scheme associated with Lipschitz strongly pseudocontractive mappings in real Banach spaces. It's proof-method is very simple by comparing with the previous proofs known.

• Journal of the Korean Mathematical Society
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• v.52 no.6
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• pp.1195-1207
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• 2015

Lagrange multiplier method for solving the contact problem in elasticity is considered. Based on lower semicontinuity of sensitivity functional we prove the convergence of modified dual scheme to corresponding saddle point.

• Bulletin of the Korean Mathematical Society
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• v.52 no.1
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• pp.125-135
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• 2015

Let R be a commutative ring and U an R-module. The aim of this paper is to study the duality between U-reflexive (pre)envelopes and U-reflexive (pre)covers of R-modules.

• Communications of the Korean Mathematical Society
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• v.20 no.1
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• pp.71-78
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• 2005

In this paper, the iterative solution is studied for equation Tx = f with a uniformly continuous ${\varphi}$-strongly accretive operators in arbitrary real Banach spaces. Our results extend, generalize and improve the corresponding results obtained by Zeng [11].

• Journal of the Chungcheong Mathematical Society
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• v.16 no.1
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• pp.61-71
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• 2003

We obtain a necessary condition for splitting T-space off a space in terms of cyclic maps, and also obtain a necessary condition for splitting co-T-spaces in terms of cocyclic maps.

• Proceedings of the Korea Database Society Conference
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• 2000.11a
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• pp.119-123
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• 2000

In this note, we study recent results concerning simplicity and spatiality of involutive quantales from the algebraic point of view. When S is a sup-lattice (with a duality), Q(S)$\times$Q( $S^{op}$ ) (Q(S)) is an involutive quantale. Using this, some characterizations of simplicity and spatiality of involutive quantales are investigated.

• Journal of the Chungcheong Mathematical Society
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• v.35 no.3
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• pp.197-204
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• 2022

In this article, we define a modified Koszul complex, which we call a quantized Koszul complex, on a quantum space ring, and we also prove that it is an acyclic complex.

• Journal of Institute of Control, Robotics and Systems
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• v.9 no.11
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• pp.952-957
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• 2003

We propose how to translate relay circuits to the EMFGs(Extended Mark Flow Graphs) formally and analyze the original one by using the mark flow of it. Firstly, the concepts of the output condition, the output-on condition and the output-off condition are introduced in the relay circuits. These can be used to find the structure and the operation of respective relay outputs but the sequential operations of them cannot be obtained from these. Secondly, a relay circuit is translated to the corresponding EMFG as the all output-on conditions and all output-off conditions of it are translated to EMFGs. For the adequate translation, the condition arc and the concepts of the generation transition and the degeneration transition are introduced, and the duality for the simplification of the result. Thirdly, we analyze the operation of the original circuit by analyzing the mark flow of the resulting EMFG. We can achieve easy and fast analysis based on the EMFG's operation algorithm. Finally, we apply these to the relay circuit for an electric furnace and analyze its operation with the mark flow of the resulting EMFG. The formal translation from relay circuits to EMFGs makes the analysis easy so that these results can be used to design, modelling, the fault detection and the maintenance.

• Cross-Cultural Studies
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• v.34
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• pp.71-92
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• 2014

This article presents a study on the concept of "Photogenie", which refers to the duality and mentality of the photographic image, with the viewpoint regarding the photographic image by Edgar Morin. First, we will look at the evolution of the concept of "Photogenie". From the field of photography, the term "Photogenie" means objects that produce light, enough to impress the photographic plate. But theorists of cinema at the beginning of the 20th century have changed the meaning of the term. For Louis Delluc, the "Photogenie" means the effect of union between the reproduction of real and artistic genius. For Jean Epstein, the "Photogenie" means mental quality, nonmaterial or inderterminable, of the photographic and cinematographic image. But Morin synthesized the arguements of Delluc and Epstein. For him, the "Photogenie" indicates both a double character of the photographic image and its mental quality. Then, based on this concept of "Photogenie," Morin said on particular aspects in the photographic image. Considering photography as a double in the anthropological sense, it puts emphasis not only the dual nature of the photographic image but also mental and spiritual quality. Combining the theory of the mage Henri Bergson and Jean-Paul Sartre, he builds his own theory of the mage that concerns both photography and cinema. In short, to Morin, the photographic image is a place where coexist absence and presence, the real and the imaginary, perception and memory, the material and mental, as well that a place of mentality which appear all our memories, hallucinations, dreams, imagination etc.

• Journal of the Speleological Society of Korea
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• no.66
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• pp.45-57
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• 2005

This Paper is a study on the duality of speleothem that appeared in 'Hyeob Jae Cave' which is designated as the natural monumen. No.236. It is located at Hyeob Jae Ri, Hanrim Eub, Bug Je-ju Gun, Je-judo. The findings are as follows. 1. The distribution range of the shelly sand which has maximum thickness of $10m{\pm}$ and average of $3m{\pm}$ was $3.2m^2$. 2. The desert hollow acted to promote the speleothem deposits in the lava tunnel with lava mound formed by lavapilz and artificial breaksand wall. 3. The main component of the pseudo limestone cavern was carbonate Calcium from shelly sand. And the deposition of speleothem in the Cave was accelerated after the volcanic erupsion of Biyang island in 1002. A.D. 4. The secondary depositions of Calcite recognized as speleothem up to now it can be used for the pseudo karst in general. 5. It seems that the variety of the cave deposits is decided depending upon the geology, land form, climate, vegetations and the structural environmental factors. 6. It seems that the wondering development of accretionary deposits caused by encrusting has a close relation with intermittent seepage of ground water. 7. Finally, we can acknowledge the coexistent duality of speleothem by shelly sand along with the joint and the lava stalactites formed at the same time with the lava tunnel on the ceiling where there was no seepage.