• Journal of the Chungcheong Mathematical Society
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• v.27 no.2
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• pp.277-286
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• 2014

We define the pentagonal fuzzy sets and generalize the results of addition, subtraction, multiplication, and division based on the Zadeh's extension principle for two pentagonal fuzzy sets. In addtion, we find the condition that the result of addition or subtraction for two pentagonal fuzzy sets becomes a triangular fuzzy number and give some example.

• Kyungpook Mathematical Journal
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• v.58 no.4
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• pp.599-613
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• 2018

We study a generalization of the classical Pentagonal Number Theorem and its applications. We derive new identities for certain infinite series, recurrence relations and convolution sums for certain restricted partitions and divisor sums. We also derive new identities for Bell polynomials.

• Archives of Plastic Surgery
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• v.34 no.1
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• pp.64-69
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• 2007

Purpose: The key of treatment in syndactyly is to separate the fused digits safely, and to create a normal web space with enough cutaneous coverage. Despite many techniques have described the correction of syndactyly, skin graft still remains the annoying one. We designed the pentagonal flap from hand dorsum to reconstruct the web space reliably and try to minimize the need for skin graft. Methods: Between July 2003 and August 2005, six cases of syndactyly were corrected at UCLA Medical Center and Hallym University Sacred Heart Hospital using dorsal pentagonal flap for web space reconstruction and straight incisions for the sides of digits to minimize the need for skin graft. The proximal edge of the pentagonal flap was designed in V shape to allow for easy closure of the donor site after advancement. The pentagonal flap was advanced volarly with the underlying dermofat tissues to form a digital web. In some cases, skin defects were unavoidable and covered with full thickness skin graft from the inguinal area. Results: Syndactyly were seen in 4 cases of Apert syndrome, 1 postburn scar webbing with PIP joint contracture and 1 recurrence after the incomplete reconstruction. In all Apert syndrome, straight line incision was used along the sides of the fingers and skin graft was needed. But, in 2 cases of incomplete type, we could save the need for skin graft only for the correction of syndactyly. We could get a good looking web space without any complications such as flap or graft loss. Conclusion: As a modification of Sherif's V-Y dorsal metacarpal flap, we believe pentagonal flap could be one of the easiest and safest way to reconstruct the web space of syndactyly in functional and cosmetic standpoint.

• Bulletin of the Korean Chemical Society
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• v.35 no.3
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• pp.958-960
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• 2014

• Journal of the Korean Vacuum Society
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• v.11 no.1
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• pp.59-67
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• 2002

The structures and properties of Cu nanowires have been investigated using molecular dynamics simulations. Cylindrical multi-shell Cu nanowires maintain their structures at room temperature and their structural properties are different from the structural properties of nanowires with face-centered-cubic structure. The results from nanopillar and tensile testing of cylindrical multi-shell Cu nanowire showed structures related to pentagonal needle-like crystal structures. Since the subunits of pentagonal nanowire with needle-like crystal are face-centered-cubic structure, pentagonal multi-shell nanowires are stable one-dimensional structures in nanostructured materials.

• Korean Journal of Ichthyology
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• v.6 no.2
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• pp.160-171
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• 1994

The lateral line scales of the Labridae fish are ellipse, pentagoanl, or hexagonal, but most of them are the hexagonal type. Those of Ciarrhilabrus temminckii, ellipse, Xyrichtys dea, Choerodon azurio, Semicossyphus reticulatus and Bodianus oxycephalus are pentagonal. The most complex species are Choerodon azurio which is pentagonal, but similar tohexagonal, and Pteragogus flagellifera which is hexagonal, but similar to pentagonal type. The sizes of sensory tubes for the Labroides dimidiatus and Cheilio inermis were larger than the other group and Xyrichtys dea had most narrow one. These varied sizes of sensory tube indicate that development of sensory tube is deeply connected with inhabitation.

• Bulletin of the Korean Chemical Society
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• v.21 no.10
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• pp.953-954
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• 2000

The equilibrium geometrical structures of silver atom clusters at their electronic ground states have been theo-retically determined by using the nonrelativistic semiempirical INDO/1 method. The clusters investigated are Agn, Agn+, and Agn- (n = 7 , 8, 9). In order to find the most stable structure, i.e., the global minimum in energy hypersurface, geometry optimization and energy calculation processes have been repeatedly performed for all the possible graphical models by changing the bond parameters (resonance integral values). The heptamers are pentagonal bipyramidal-Ag7(D5h), Ag7+ (D5h), Ag7- (D5h); the octamers are pentagonal bipyramidal with one atom capped-Ag8(D2d), Ag8+ (Cs), Ag8- (D2d); the nonamers are pentagonal bipyramidal with two atoms capped -Ag9(C2v), Ag9+ (C2v), Ag9- (C2v). Our structures are in good agreement with those by ab initio calculations ex-cept for the anionic Ag9- cluster. And it is noted that the INDO/1 method can accurately predict the Ag cluster geometries when a proper set of bond parameters is used.

• Proceedings of the Korean Society of Broadcast Engineers Conference
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• 1998.06b
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• pp.141-146
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• 1998

Currently virtual studio has used the cromakey method in which an image is captured, and the blue portion of that image is replaced by a graphic image or a real image. The replaced image must be changed according to the camera motion. This paper proposes a novel method to extract camera parameters using the recognition of pentagonal patterns which are painted on the blue screen. The corresponding parameters are position, direction and focal length of the camera in the virtual studio. At first, pentagonal patterns are found using invariant features of the pentagon. Then, the projective transformation of two projected images and the camera parameters are calculated using the matched points. Simulation results indicate that camera parameters are more easily calculated compared to the conventional methods.

• Proceedings of the Korean Institute of Building Construction Conference
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• 2021.05a
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• pp.185-186
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• 2021

In Korea, many buildings are built with underground spaces and cast-in-place pile method is mostly applied in the temporary retaining walls for the underground space construction. A H-shaped steel section is generally embedded in the soldier pile in the C.I.P method. In this study, a new and economical section with high strength steel replacing the H-shaped section was proposed and its flexural capacity was evaluated experimentally. The new section is the concrete-filled composite section with pentagonal thin plate and thick flange plate. Test results showed that the proposed section has an excellent flexural strength and ductility.

• Archives of Craniofacial Surgery
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• v.21 no.1
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• pp.49-52
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• 2020

The specialized structure of the upper eyelid ensures complete closure of the eye and eyeball sealing. An upper eyelid injury can cause various symptoms associated with eyeball trauma, not just scar formation or eyelid deformity. In this report, we describe a case of lagophthalmos observed after wound repair in a patient with a crushing injury caused by a grinder. Several surgical techniques are used to treat lagophthalmos or scar contracture. In most cases, a releasing procedure is performed after 6 months of initial repair. However, if the patient has severe symptoms that are not relieved by conservative care, early revision is inevitable. We describe a case of early lagophthalmos successfully resolved with pentagonal wedge resection, fat redistribution, and full-thickness skin grafting. After the revisional surgery, we observed that the patient regained the ability to completely close the injured eyelid, with restoration of function and favorable cosmetic outcomes. Pentagonal wedge resection to release a retracted structure, fat redistribution to prevent readhesion, and full-thickness skin grafting for enough amount of skin to regain upper eyelid function is useful for scar release and lagophthalmos following crushing injuries of the upper eyelid.