• Journal of the Chungcheong Mathematical Society
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• v.34 no.2
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• pp.139-155
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• 2021

Using a modular transformation formula for a class of functions related to generalized non-holomorphic Eisenstein series, we find a new class of infinite series about identities, some of which include generalized formulae of several Berndt's results.

• Journal of the Chungcheong Mathematical Society
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• v.35 no.4
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• pp.277-295
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• 2022

The author proved a modular transformation formula for a function related to generalized non-holomorphic Eisenstein series and, using this formula, established a lot of infinite series identities. In this paper, we find more generalized series relations which contain the author's previous work.

• The Journal of the Petrological Society of Korea
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• v.11 no.3_4
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• pp.271-277
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• 2002

Pyeonghae Series, Giseong Series. Wonnam Series, Pyeonghae Unite gneiss, Hada leuco-granite gneiss are the Precambrian gneisses distributed in the north-eastern part of the Yeongnam massif. Even though there are no difference in lithologies between Pyeonghae and Wonnam Serieses. they have been regarded as different Serieses because of the presence of Giseong Series which has been considered meta-volcanics. However, field investigations reveal that the Giseong Series represents ductile shear zone having meta-volcanics-like appearances in some outcrops. The fact that both Pyeonghae and Wonnam Serieses experienced high grade metamorphism reaching upper amphibolite facies implies that any volcanics between these two Serieses should also occur as high-grade metamorphic rocks at present. The absence of Giseong Series as a low-grade meta-volcanics indicates the absence of logical base to distinguish Pyeonghae and Wonnam Serieses. Therefore, these two Serieses should be regarded as identical Series.

• The Journal of the Korea Contents Association
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• v.14 no.3
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• pp.69-79
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• 2014

In recent years, the number of love stories in Japanese TV series are decreasing. Comparing this with Korean popular TV series in Japan, it was found that Korean TV series have the following differences. In the Japanese series, the main characters were mostly from common origin. The conflicts within each relationship stage illustrated the conflicts between characters and their surroundings, as well as the conflicts which commonly arise in real life, that with the self. Confessions of love in the Japanese series used simpler expressions. Some couples did not even say "I love you". Further, when love was threatened, rarely was deep attachment shown. There were even cases where the main characters did not end up as a couple. On the other hand, there often existed a class difference between the male and female main characters in the Korean series and conflicts mostly arose from differences of environment, illness, love rivals, and etc. Every couple verbally confessed their love and they used more passionate expressions of love than in the Japanese series, and when love was threatened no man backed down and each showed his deep attachment. Finally, there were happy endings for everyone even after the many complications.

• Journal of Internet Computing and Services
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• v.25 no.2
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• pp.39-47
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• 2024

Time series analysis is widely employed by many organizations to solve business problems, as it extracts various information and insights from chronologically ordered data. Among its applications, measuring time series similarity is a step to identify time series with similar patterns, which is very important in time series analysis applications such as time series search and clustering. In this study, we propose an efficient method for measuring time series similarity that focuses on anomalies rather than the entire series. In this regard, we validate the proposed method by measuring and analyzing the rank correlation between the similarity measure for the set of subsets extracted by anomaly detection and the similarity measure for the whole time series. Experimental results, especially with stock time series data and an anomaly proportion of 10%, demonstrate a Spearman's rank correlation coefficient of up to 0.9. In conclusion, the proposed method can significantly reduce computation cost of measuring time series similarity, while providing reliable time series search and clustering results.

• Proceedings of the Korean Statistical Society Conference
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• 2002.05a
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• pp.49-54
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• 2002

For arbitrary random variables {$X_{n},n{\geq}1$}, the order of growth of the series. $S_{n}\;=\;{\sum}_{j=1}^n\;X_{j}$ is studied in this paper. More specifically, when the series S_{n}$ diverges almost surely, the strong law of large numbers $S_{n}/g_{n}^{-1}$($A_{n}{\psi}(A_{n}))\;{\rightarrow}\;0$ a.s. is constructed by extending the results of Petrov (1973). On the other hand, if the series $S_{n}$ converges almost surely to a random variable S, then the tail series $T_{n}\;=\;S\;-\;S_{n-1}\;=\;{\sum}_{j=n}^{\infty}\;X_{j}$ is a well-defined sequence of random variables and converges to 0 almost surely. For the almost surely convergent series $S_{n}$, a tail series strong law of large numbers $T_{n}/g_{n}^{-1}(B_{n}{\psi}^{\ast}(B_{n}^{-1}))\;{\rightarrow}\;0$ a.s., which generalizes the result of Klesov (1984), is also established by investigating the duality between the limiting behavior of partial sums and that of tail series. In particular, an example is provided showing that the current work can prevail despite the fact that previous tail series strong law of large numbers does not work.

• Elastomers and Composites
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• v.29 no.1
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• pp.18-29
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• 1994

The purpose of this study is to investigate reinforced effect between silica treated by coupling agents and rubber matrix under the configuration chemical bonds, and the effect of silica particles coated by organic polymers using aluminum chloride as the catalyst. In vulcanization characteristies were tested by Curastometer. The M-series vulcanizates were reached to the fastest optimum cure $time(t_{90})$ and R-series vulcanizates with the same formula had the shorted optimum cure times. Tensile characteristics measuring with a tensile tester revealed that the M-series vulcanizate was the best in the physical properties, such as tensile strength. In 100% modulus, however, the S-series vulcanizates appeared to be better than the other vulcanizates. Also, hardness showed the following order : S-series>R-series>M-series with the order of elongation R-series>M-series>S-series. In SEM test, shapes of chemical treated silicas were observed. The dispersion of filler in the SBR composite appeard uniformly. In RDS test for the dynamic characteristics, G' indicates that S-3 shows the highest value with the next order M-3>R-3, and the order of damping values are as followe: M-3>M-3>R-3.

• The Transactions of the Korean Institute of Electrical Engineers C
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• v.48 no.9
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• pp.641-647
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• 1999

The paper provides the results of microstructure analysis and dielectricproperties of porcelain suspension insulators. The evaluation of characteristics was also made as a function of the manufacturers and fabricated years for the experimental specimens which had been used in real distribution lines. Even though the series A contained higher alumina contents than the series B, the densification of series A was lower than that of series B, resulting from much porosity. The microstructure investigation confirmed that series A had much porosity than series B. The series A contained quartz $(SiO_2),\; mullite\; (Al_6Si_2O_{13}),\; corundum(Al_2O_3),\; and cristobalite\; (SiO_2)$ phases. However, the series B had no cristobalite phase which had very high thermal expansion coefficient. Also, the tan$\delta$of series A was more abruptly increased than that of series B as increasing temperature. The elevated temperature may make much expansion of cristobalite crystal than other crystals, resulting in crack and puncture inside cap during the summer days.

• Proceedings of the Korean Society of Propulsion Engineers Conference
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• 2017.05a
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• pp.418-422
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• 2017

Based on published materials, we compared specifications of mating electrical connectors for the NASA Standard Initiators NSI-1,2,3 with each other after the initiator specifications summary. The mating connector specifications for NSI-1,2 are MSFC-40M38298 and MIL-DTL-26482, series1 while for NSI-3 is MIL-DTL-38999, series3. The MIL-DTL-38999, series3 has the highest overall environmental resistance performance. MSFC-40M38298 is the next and MIL-DTL-26482, series1 follows. In particular, if initiators be used under severe shock and vibration environments, the MIL-DTL-38999, series3 should be applied.

• Journal of Information Processing Systems
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• v.14 no.4
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• pp.851-876
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• 2018

Dynamic time warping (DTW) is the main algorithms for time series alignment. However, it is unsuitable for quasi-periodic time series. In the current situation, except the recently published the shape exchange algorithm (SEA) method and its derivatives, no other technique is able to handle alignment of this type of very complex time series. In this work, we propose a novel algorithm that combines the advantages of the SEA and the DTW methods. Our main contribution consists in the elevation of the DTW power of alignment from the lowest level (Class A, non-periodic time series) to the highest level (Class C, multiple-periods time series containing different number of periods each), according to the recent classification of time series alignment methods proposed by Boucheham (Int J Mach Learn Cybern, vol. 4, no. 5, pp. 537-550, 2013). The new method (quasi-periodic dynamic time warping [QP-DTW]) was compared to both SEA and DTW methods on electrocardiogram (ECG) time series, selected from the Massachusetts Institute of Technology - Beth Israel Hospital (MIT-BIH) public database and from the PTB Diagnostic ECG Database. Results show that the proposed algorithm is more effective than DTW and SEA in terms of alignment accuracy on both qualitative and quantitative levels. Therefore, QP-DTW would potentially be more suitable for many applications related to time series (e.g., data mining, pattern recognition, search/retrieval, motif discovery, classification, etc.).