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Optimistic limits of the colored Jones polynomials
조진석,Jun Murakami 대한수학회 2013 대한수학회지 Vol.50 No.3
We show that the optimistic limits of the colored Jones polynomialsof the hyperbolic knots coincide with the optimistic limits of theKashaev invariants modulo 4π2.
OPTIMISTIC LIMITS OF THE COLORED JONES POLYNOMIALS
Cho, Jinseok,Murakami, Jun Korean Mathematical Society 2013 대한수학회지 Vol.50 No.3
We show that the optimistic limits of the colored Jones polynomials of the hyperbolic knots coincide with the optimistic limits of the Kashaev invariants modulo $4{\pi}^2$.
플라즈마 용사법으로 제작된 4mol% Y<sub>2</sub>O<sub>3</sub>-ZrO<sub>2</sub> 열차폐코팅의 화산재에 의한 고온열화거동
Lee, Won-Jun,Jang, Byung-Koog,Lim, Dae-Soon,Oh, Yoon-Suk,Kim, Seong-Won,Kim, Hyung-Tae,Araki, Hiroshi,Murakami, Hideyuki,Kuroda, Seiji 한국세라믹학회 2013 한국세라믹학회지 Vol.50 No.6
The hot corrosion behavior of plasma sprayed 4 mol% $Y_2O_3-ZrO_2$ (YSZ) thermal barrier coatings (TBCs) with volcanic ash is investigated. Volcanic ash that deposited on the TBCs in gas-turbine engines can attack the surface of TBCs itself as a form of corrosive melt. YSZ coating specimens with a thickness of 430-440 ${\mu}m$ are prepared using a plasma spray method. These specimens are subjected to hot corrosion environment at $1200^{\circ}C$ with five different duration time, from 10 mins to 100 h in the presence of corrosive melt from volcanic ash. The microstructure, composition, and phase analysis are performed using Field emission scanning electron microscopy, including Energy dispersive spectroscopy and X-ray diffraction. After the heat treatment, hematite ($Fe_2O_3-TiO_2$) and monoclinic YSZ phases are found in TBCs. Furthermore the interface area between the molten volcanic ash layers and YSZ coatings becomes porous with increases in the heat treatment time as the YSZ coatings dissolved into molten volcanic ash. The maximum thickness of this a porous reaction zone is 25 ${\mu}m$ after 100 h of heat treatment.
Jeong, Yeon Jun,Cho, Baik Hwan,Kinugasa, Yusuke,Song, Chang Ho,Hirai, Ichiro,Kimura, Wataru,Fujimiya, Mineko,Murakami, Gen Wiley Subscription Services, Inc., A Wiley Company 2009 Clinical anatomy Vol.22 No.6
<P>The developing mesocolon transversum was investigated using hematoxylin and eosin-stained semiserial sections derived from 17 human fetuses between 12 and 30 weeks of gestation. The mesocolon was attached to the mesoduodenum and greater omentum until 12 weeks. However, the fetal duodenal attachment appeared not to correspond to the right colic flexure in adults. The greater omentum and mesocolon were likely to be irregularly folded at the attachment site possibly because the developing transverse colon “ran into” and pushed up the greater omentum and pancreatic head. Lymphatic vessels invaded the indistinct fusion plane to destroy the primary configuration. Moreover, the mesocolon seemed to “seize” or take-over some parts of the splenic side of the greater omentum, but the thick gastric side containing the right gastroepiploic artery and vein remained along the greater curvature. Until 20 weeks, the left colic flexure was fixed to the pancreatic tail, and near the flexure the mesocolon also fused with the renal fascia. The left splenic end of the greater omentum was folded and fused together to form a thick ligament-like structure, i.e., the gastrocolic ligament. In addition, near the duodenojejunal junction, a peritoneal bridge was often seen containing the inferior mesenteric artery or vein. Although surgeons generally believe that the mesocolon can be gently detached from the greater omentum, the fusion plane in adults appears to be the result of secondary modification and simplification by vascular development. Clin. Anat. 22:716–729, 2009. © 2009 Wiley-Liss, Inc.</P>
Reidemeister transformations of the potential function and the solution
Cho, Jinseok,Murakami, Jun World Scientific 2017 Journal of knot theory and its ramifications Vol.26 No.12
<P>The potential function of the optimistic limit of the colored Jones polynomial and the construction of the solution of the hyperbolicity equations were defined in the authors’ previous papers. In this paper, we define the Reidemeister transformations of the potential function and the solution by the changes of them under the Reidemeister moves of the link diagram and show the explicit formulas. These two formulas enable us to see the changes of the complex volume formula under the Reidemeister moves. As an application, we can simply specify the discrete faithful representation of the link group by showing a link diagram and one geometric solution.</P>
( Saya Tsuda ),( Reiko Kunisaki ),( Jun Kato ),( Mayu Murakami ),( Masafumi Nishio ),( Tsuyoshi Ogashiwa ),( Takeichi Yoshida ),( Hideaki Kimura ),( Masayuki Kitano ) 대한장연구학회 2018 Intestinal Research Vol.16 No.4
Background/Aims: In clinical practice, colonoscopy has been regarded as the gold standard for the evaluation of disease severity as well as mucosal healing in ulcerative colitis (UC). Some activity indices incorporating patient symptoms as parameters have been shown to reflect the endoscopic activity of UC. The aim of this study was to examine whether self-reported symptoms with visual analog scales (VAS) can predict endoscopic activity. Methods: A cross-sectional study of 150 UC patients who underwent colonoscopy with submission of VAS scores of 4 symptoms: general condition, bloody stools, stool form, and abdominal pain (0: no symptoms, 10: the most severe symptoms). Each VAS score was compared with colonoscopic activity assessed with the Mayo endoscopic subscore (MES). Results: All VAS scores were significantly correlated with the endoscopic severity (Spearman correlation coefficients of general condition, bloody stools, stool form, and abdominal pain: 0.63, 0.64, 0.58, and 0.43, respectively). Mucosal healing defined as MES 0 alone was predicted by VAS score <1.5 on general condition or 0 on bloody stools with sensitivity of 0.84 and 0.76 and specificity of 0.66 and 0.76, respectively. Additionally, VAS score <2.5 on stool form predicted active lesions in distal colorectum alone with sensitivity of 0.67 and specificity of 0.66, suggesting that this item could predict the indication of topical therapy. Conclusions: Self-reported VAS scores on symptoms were correlated with endoscopic activity of UC. To clarify the relationship between VAS and mucosal healing, further validation studies are needed. (Intest Res 2018;16:579-587)
Kim, Yun-Hae,Park, Jun-Mu,Yoon, Sung-Won,Lee, Jin-Woo,Jung, Min-Kyo,Murakami, Ri-Ichi Korean Society of Ocean Engineers 2011 International journal of ocean system engineering Vol.1 No.3
Generally, strength degradation is caused by the absorption of moisture in composites. For this reason, a fracture is generated in the composites and traces of glass fiber degrade human health and physical damage is generated. Therefore, in this research, we studied the mechanical properties change of composites by moistureabsorption. The composites were manufactured with and without the Gel-coating process and were immersed in a moisture absorption device at $80^{\circ}C$ for more than 100 days. The mechanical properties of the moistureabsorption composites and the composites which dry after moisture-absorption were compared. The mechanical properties degradation of basalt fiber composites according to the result of the measurement of moistureabsorption was smaller than that of glass fiber composites by about 20%. In addition, the coefficient of moisture absorption was lower for the case of Gel-coating processing than the composites without the Gel-coating process by about 2% and it was deduced that Gel-coating did not have a significant effect on the mechanical properties.