• Journal of applied mathematics & informatics
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• v.7 no.1
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• pp.347-355
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• 2000

In this paper we define linearly independent, basis, free, torsion-free and torsion-free completely on an automation. We prove a theorem describing a relationship between free and torsion-free completely on automata. Also we prove some important properties of them. Furthermore, we discuss some theorems associated with free.

• Proceedings of the Korean Geotechical Society Conference
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• 2009.09a
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• pp.1415-1424
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• 2009

Measuring dynamic properties of gravel-sized materials demands large specimens. Due to the difficulties in experiment as well as equipment, the dynamic properties of gravel-sized material has rarely been investigated. To realize free-free end condition more properly and stabilize specimen during testing with new specimen support system, a free-free resonant column testing device, which is capable of testing gravel-sized materials and constraining a specimen in free-free boundaries, is developed. We report the calibration of the equipment and preliminary testing results on Jumunjin sand. The testing data are compared with the previous data obtained from the existing fixed-free resonant column test.

• Journal of information and communication convergence engineering
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• v.19 no.4
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• pp.205-213
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• 2021

The properties of a scale-free network are little known; its node degree following a power-law distribution is among its few known properties. By selecting real-field scale-free networks from a network dataset and comparing them to other networks, such as random and non-scale-free networks, the topology characteristics of scale-free networks are identified. The assortative coefficient is identified as a key metric of a scale-free network. It is also identified that most scale-free networks have negative assortative coefficients. Traditional generation models of scale-free networks are evaluated based on the identified topology characteristics. Most representative models, such as BA and Holme&Kim, are not effective in generating real-field scale-free networks. A link-rewiring method is suggested that can control the assortative coefficient while preserving the node degree sequence. Our analysis reveals that it is possible to effectively reproduce the assortative coefficients of real-field scale-free networks through link-rewiring.

• Archives of Plastic Surgery
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• v.43 no.1
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• pp.128-129
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• 2016

• Bulletin of the Korean Mathematical Society
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• v.47 no.5
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• pp.997-1000
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• 2010

We prove that the reduced free product of $k\;{\times}\;k$ matrix algebras over abelian $C^*$-algebras is not the minimal tensor product of reduced free products of $k\;{\times}\;k$ matrix algebras over abelian $C^*$-algebras. It is shown that the reduced group $C^*$-algebra associated with a group having the property T of Kazhdan is not isomorphic to a reduced free product of abelian $C^*$-algebras or the minimal tensor product of such reduced free products. The infinite tensor product of reduced free products of abelian $C^*$-algebras is not isomorphic to the tensor product of a nuclear $C^*$-algebra and a reduced free product of abelian $C^*$-algebra. We discuss the freeness of free product $II_1$-factors and solidity of free product $II_1$-factors weaker than that of Ozawa. We show that the freeness in a free product is related to the existence of Cartan subalgebras in free product $II_1$-factors. Finally, we give a free product factor which is not solid in the weak sense.

• Journal of the Korean Society of Earth Science Education
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• v.8 no.1
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• pp.12-24
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• 2015

This study aimed to investigate how middle school teachers perceived major features of the 'Free Learning Semester'. In 2013, the Free Learning Semester has been proposed by Korean government to provide students with the educational programs which deals with various activities in classroom in order to increase student's learning ability. The Free Learning Semester helps students to figure out their dreams and develops their talents. The government plans to expand the Free Learning Semester to all middle schools by 2016. Since teacher's perception is an important matter in the application of the Free Learning Semester, this study seeks to document the changes in curriculum by observing the perception of teachers in the school that implemented the Free Learning Semesters and those that did not implemented the Free Learning Semesters. 172 teachers from nine middle schools in Busan that their school schedules allowed were surveyed. Two school which operated the Free Learning Semester were compared to seven schools which did not operate the Free Learning Semester. The results are summarized as follows: First, almost all (97.7%) teachers in the Free Learning Semester schools have completed a training whereas 74.6% of the teachers in the non-Free Learning Semester schools have not. The usefulness of the training was satisfactory, but the teachers in the Free Learning Semester Schools wanted more practical help with the curriculum. Second, the result, which was statistically significant(p<.05), revealed that the first grade second semester of middle school was the best time to implement the Free Learning Semester. In order for its successful establishment in schools, there needs to be a reliable and effective evaluation system. However, the results regarding the introduction and management of the new system were not statistically significant. Lastly, in the Free Learning Semester Schools, the changes in teachers' perception were statistically significant (p<.05). The results show that the teachers need the training and the teacher's community to implement the curriculum and set a basis for valuation.

• Asian-Australasian Journal of Animal Sciences
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• v.32 no.2
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• pp.233-240
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• 2019

Objective: This study was to investigate the effects of dietary cotton stalk on nitrogen and free gossypol in sheep. Methods: Treatments included 25% cotton stalk (Treat 1), 50% cotton stalk (Treat 2), and a control (no cotton stalk). Six Xinjiang daolang wethers were cannulated at the rumen and duodenum and fed one of these diets. The effects of these diets on nitrogen and free gossypol absorption and metabolism were determined. Fifteen healthy Xinjiang daolang wethers were assessed for daily gain, tissue lesions, and free gossypol accumulation. Results: Dry matter intake decreased with increasing dietary cotton stalk. Total tract dry matter digestibility did not significantly differ among treatments. Dietary cotton stalk significantly decreased volatile fatty acids and increased ammonium nitrogen in the rumen. Nitrogen intake was significantly higher in Treat 2 than in the control or Treat 1. Nitrogen retention and free gossypol intake increased with dietary cotton stalk. Duodenal free gossypol flow did not increase, and free gossypol almost disappeared from the rumen. The free gossypol content of plasma and tissue was increased with dietary cotton stalk with liver free gossypol>muscle free gossypol>kidney free gossypol. Elevated dietary free gossypol decreased platelets, hemoglobin, and serum iron. Aspartate aminotransferase and ${\gamma}$-glutamyltransferase increased in Treat 2. With high long-term dietary cotton stalk intake, liver cells were swollen, and their nuclei dissolved. Renal cells were necrotic and the interstitia were enlarged. Conclusion: With short-term cotton stalk administration, only a small amount of free gossypol is retained in the body. In response to long-term or high free gossypol cotton stalk feeding, however, free gossypol accumulates in, and damages the liver and kidneys.

• Proceedings of the International Microelectronics And Packaging Society Conference
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• 2001.07a
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• pp.63-92
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• 2001

·EC's/Japanese environmental regulation drive the Pb-free/Halogen-free application ·Most Japanese electronics companies are preparing the green products. ·All items concerning to Pb-free/halogen-free technology should be coparallely designed and developed. ·More works need to clear the unknowns on Pb-free materials ·Need of consensus on materials and standards ·EBM (Environmental Benign Manufacturing)

• Communications of the Korean Mathematical Society
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• v.19 no.3
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• pp.519-529
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• 2004

M. Brown [2] posed an open question on the class of free homeomorphisms as follows: if f is a free homeomorphism of two manifold and k is a positive integer then is $f^{k}$ free\ulcorner In this paper we show that the answer of the open question is true.

• Annual Conference of KIPS
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• 2017.04a
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• pp.9-12
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• 2017

FreeType is a rasterizer which is commonly used in different operating systems like Linux, android etc. Although FreeType is open source but it is not easy to add/remove modules and services etc. for developers. This paper proposes a new module for FreeType named as FreeType Outlet adapter (FOA). It enables to add/remove modules, services, functionality etc. inside FreeType. It acts as the bridge to add functions from outside FreeType to the inner core of FreeType. New font formats like METAFONT, animated fonts and customized fonts which currently are not supported by FreeType can be added with this FOA module.