• Bulletin of the Korean Chemical Society
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• v.26 no.1
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• pp.63-71
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• 2005

Equilibrium geometries, electronic structures, and energies of borocarbon clusters (binary compounds of carbon and boron), an unexplored class of molecules with highly unusual characteristics and potential for further development, have been investigated by means of B3LYP/6-311+G$^*$ density functional theory computations. A large number of B$_7$C${_1}^{1-}$, B$_6C_2$, and B$_5C_{3}\,^{1+}$ clusters with planar and non-planar monocyclic and polycyclic rings, as well as cage structures, have been systematically studied. Unexpectedly, planar forms are predicted not only to be the most stable structures, but also, in many cases, to have unprecedented planar heptacoordinate boron (p-heptaB) and planar heptacoordinate carbon (p-heptaC) arrangements. All these pheptaB and p-heptaC have 6π electrons and are aromatic according to the nucleus independent chemical shift (NICS). This novel bonding pattern is analyzed in terms of natural bond orbital (NBO) analysis. For virtually all possible B$_7$C${_1}^{1-}$, B$_6C_2$, and B$_5C_{3}\,^{1+}$ combinations, the p-heptaB arrangements are the more stable than other type structures.

• Advances in nano research
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• v.16 no.2
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• pp.111-125
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• 2024

Recently, a lot of research has been done on the analysis of axial vibrations of homogeneous and FG nanotubes (nanorods) with various aspects of vibrations that have been fully mentioned in history. However, there is a lack of investigation of the dynamic internal resonances of FG nanotubes (nanorods) between them. This is one of the essential or substantial characteristics of nonlinear vibration systems that have many applications in various fields of engineering (making actuators, sensors, etc.) and medicine (improving the course of diseases such as cancers, etc.). For this reason, in this study, for the first time, the dynamic internal resonances of FG nanorods in the simultaneous presence of large-amplitude size dependent behaviour, inertial and shear effects are investigated for general state in detail. Such theoretical patterns permit as to carry out various numerical experiments, which is the key point in the expansion of advanced nano-devices in different sciences. This research presents an AFG novel nano resonator model based on the axial vibration of the elastic nanorod system in terms of derivation from large-amplitude size dependent internal modals interactions. The Hamilton's Principle is applied to achieve the basic equations in movement and boundary conditions, and a harmonic deferential quadrature method, and a multiple scale solution technique are employed to determine a semi-analytical solution. The interest of the current solution is seen in its specific procedure that useful for deriving general relationships of internal resonances of FG nanorods. The numerical results predicted by the presented formulation are compared with results already published in the literature to indicate the precision and efficiency of the used theory and method. The influences of gradient index, aspect ratio of FG nanorod, mode number, nonlinear effects, and nonlocal effects variations on the mechanical behavior of FG nanorods are examined and discussed in detail. Also, the inertial and shear traces on the formations of internal resonances of FG nanorods are studied, simultaneously. The obtained valid results of this research can be useful and practical as input data of experimental works and construction of devices related to axial vibrations of FG nanorods.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.22 no.8
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• pp.1114-1122
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• 2018

In this paper, we propose a theoretical framework for provisioning marginal resources in wired and wireless computer networks which include Internet. In more detail, we propose a mathematical model for the upper bounds of marginal capacity in grid networks, where the resource is designed a priori by normal traffic estimation and marginal resource is prepared for unexpected events such as natural disasters and abrupt flash crowd in public affairs. To be specific, we propose a method to evaluate an upper bound for minimum marginal capacity for an arbitrary grid topology using the concept of a strong Roman domination number. To that purpose, we introduce a graph theory to model and analyze the characteristics of general grid structure networks. After that we propose a new tight upper bound for the strong Roman domination number. Via a numerical example, we show the validity of the proposition.

• Journal of Korean Academy of Nursing Administration
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• v.22 no.5
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• pp.437-447
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• 2016

Purpose: The purpose of this study was to conduct a grounded theoretical analysis on the hospital accreditation experience of head nurses in order to understand their behavior on the adaption of this new system. Methods: The participants were 8 head nurses with more than 3 years of experience. The data were collected through in-depth interviews using audiotape recording analyzed by the constant comparative method described in Strauss and Corbin's methodology. Results: There were 113 concepts, 26 subcategories and 12 categories identified through the open coding process. In the axial coding, the following paradigm model was proposed: 1) the causal conditions were 'hardware problem' and 'software problem', 2) the contextual conditions were 'vertical relationship', 'individual preference', and 'family support', 3) the intervening conditions were 'passive conditions' and 'active conditions', 4) the action/interaction strategies were 'leading role' and 'dependent role', 5) the consequences were 'positive acceptance' and 'negative acceptance', 6) the central phenomenon was 'difficult situation' and 7) the core category was 'leading in harmony'. Conclusion: The new system led head nurses having difficulties as the middleman between the hospital administration and general nurses, but they made a continuous effort to overcome and adapt to it through a number of strategies.

• Journal of the Korean Institute of Landscape Architecture
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• v.33 no.4 s.111
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• pp.97-107
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• 2005

This study was carried out to construct accurate and scientific system of assessment indicators in selection of National Trust conservation areas, which was new concept of domestic environment movement and offer the raw data of new analytic method by introducing the fuzzy theory and weight for overcoming the uncertainty of ranking decision. To transform the Likert's scale granted to assessment indicators into the type of triangular fuzzy number(a, b, c), there was conversion to each minimum(a), median(b), and maximum(c) in applying membership function, and in using the center of gravity and eigenvalue, there was to decide the ranking. The rankings of converted values applied a mean importance and weight were confirmed that they were generally changed. Therefore, the ranking decision was better to accomplish objective and rational ranking decision by applying weight that was calculated in grouping of indicator than to judge the singular concept and to be useful in assessment of diverse National Trust site. In the future, because AHP, which was general method of calculating weight, was lacked, there was to understand the critical point to fix a pertinent weight, and to carry out the study applying engineering concept like fuzzy integral using $\lambda-measure$.

• Journal of Gifted/Talented Education
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• v.5 no.2
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• pp.37-54
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• 1995

The radical development of modern mathematics is due to the appearance of Collection Theory by George Cantor. The Set Theory is independent as an area and also closely interrelated with other areas. So its content becomes a common sense and a basic part across the whole area of modern mathematics. Accordingly, the basic element of modern mathematics is helping young children get familiar with set as early as possible. The thinking of set by which children can categorize, make partial sets and correspondences, understand the general characteristic, and conceptualize the discovered relationships is very important for young children. At this point where the Math education for young children is emphasized under the influence of the modernization movement of Math education, the systematic education for building up the set concept as the basic background of number concept during the early childhood is required. On current mathematics education for young children, graphs, the foundation of geometry, time, and patterns have been included in the traditional and practical content related to numbers. However, the education on collection which is the foundation of number concept is insufficient. A study shows that the level of young children's understanding on set is quite high, but the set concept isn't reflected in current Math curriculum for young children. And basic activities neccesary on building up the set concept, such as categorization, comparison, etc. are conducted in kindergardens but unsatisfactory because of those kindergarden teachers' premature understanding on the set concept. In conclusion, the curriculum for young children should be reorganized based on the set concept as the kernel concept. Also, the reappraisal of the training curriculum and the supplementary efucation for kindergarden teachers are urgent for raising the teaching ability of those kindergarden teachers.

• MISULJARYO - National Museum of Korea Art Journal
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• v.100
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• pp.50-80
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• 2021

This paper critically examines the history of the theories connected to the Wongaksa Temple Pagoda that have developed over the last 100 years focusing on the original number of stories the pagoda would have reached. Part II of this paper retraces the dynamic process of the rediscovery of the Wongaksa Temple Pagoda by Westerners who traveled to Korea during the port-opening period. Koreans at the time viewed the Wongaksa Temple Pagoda as an object of no particular appeal or even as an eyesore. However, Westerners appreciated it as a wonder or magnificent sight. Since these Westerners had almost no prior knowledge of Buddhist pagodas, they were able to write objective travelogues. At the time, these visitors generally accepted the theory common among Joseon intellectuals that Wongaksa Temple Pagoda once had thirteen stories. Part III focuses on Japanese government-affiliated scholars' academic research on the Wongaksa Temple Pagoda after the proclamation of the Korean Empire and the Japanese Government-General of Korea's subsequent management of the pagoda as a cultural property during the colonial era. It also discusses issues with Japanese academic research and management. In particular, this portion sheds light on the shift in theories about the original number of stories of the Wongaksa Temple Pagoda from the ten-story theory supported by Sekino Tadashi (關野 貞), whose ideas have held a great influence on this issue over the last 100 years, to the thirteen-story theory and then to the idea that it had more than thirteen. Finally, Part IV addresses the change from the multi-story theory to the ten-story theory in the years after Korea's liberation from Japan until 1962. Moreover, it highlights how Korean intellectuals of the Japanese colonial era predominantly accepted the thirteen-story theory. Since 1962, a considerable quantity of significant research on the Wongaksa Temple Pagoda has been published. However, since most of these studies have applied the ten-story theory suggested in 1962, they are not individually discussed in this paper. This retracing of the history of theories about the Wongaksa Temple Pagoda has verified that although there are reasonable grounds for supporting the thirteen-story theory, it has not been proved in the last 100 years. Moreover, the number of pagoda stories has not been fully discussed in academia. The common theory that both Wongaksa Temple Pagoda and Gyeongcheonsa Temple Pagoda were ten-story pagodas was first formulated by Sekino Tadashi 100 years ago. Since the abrasion of the Wongaksa Temple Stele was so severe the inscriptions on the stele were almost illegible, Sekino argued that the Wongaksa Temple Pagoda was a ten-story pagoda based on an architectural analysis of the then-current condition of the pagoda. Immediately after Sekino presented his argument, a woodblock-printed version of the inscriptions on the Wongaksa Temple Stele was found. This version included a phrase that a thirteen-story pagoda had been erected. In a similar vein, the Dongguk yeoji seungnam (Geographic Encyclopedia of Korea) published by the orders of King Seongjong in the late fifteenth century documented that Gyeongcheonsa Temple Pagoda, the model for the Wongaksa Temple Pagoda, was also a thirteen-story pagoda. The Wongaksa Temple Stele erected on the orders of King Sejo after the establishment of the Wongaksa Temple Pagoda evidently shows that Sekino's ten-story premise is flawed. Sekino himself wrote that "as [the pagoda] consists of a three-story stereobate and a ten-story body, people call it a thirteen-story pagoda," although he viewed the number of stories of the pagoda body as that of the entire pagoda. The inscriptions on the Wongaksa Temple Stele also clearly indicate that the king ordered the construction of the Wongaksa Temple Pagoda as a thirteen-story pagoda. Although unprecedented, this thirteen-story pagoda comprised a ten-story pagoda body over a three-story stereobate. Why would King Sejo have built a thirteen-story pagoda in an unusual form consisting of a ten-story body on top of a three-story stereobate? In order to fully understand King Sejo's intention in building a thirteen-story pagoda, analyzing the Wongaksa Temple Pagoda is necessary. This begins with the restoration of its original name. I disprove Sekino's ten-story theory built upon flawed premises and an eclectic over-thirteen-story theory and urge applying the thirteen-story theory, as the inscriptions on the Wongaksa Temple Stele stated that the pagoda was originally built as a thirteen-story pagoda.

• School Mathematics
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• v.4 no.3
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• pp.463-481
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• 2002

In this paper, I review the historical background of "the principle of the permanence of equivalent forms" and sum- marize properties of "the principle of the permanence of equivalent forms" as a kind of heuristic. 1 think that "the principle of the permanence of equivalent forms" can be used effectively for student's discovery of the algebraic structure. There are three ways of using "the principle of the permanence of equivalent forms" in extending number system - an extension on the base of set theory(SMSC), the formal or axiomatic extrapolation and the inductive-extrapolatory method. All those three methods are mixed up and being used potentially at various levels in current Korean text books. "The principle of the permanence of equivalent forms" is used most effectively in the subject of the exponent. 1 try to present a situation that makes the students find more general definition and cultivate their desirable attitudes for the mathematics in the process of extending the exponent through summarizing the debate between Goel & Robillard(1997) and Tirosh S, Even(1997).

• Journal for History of Mathematics
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• v.27 no.1
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• pp.1-12
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• 2014

From the mid 17th century, Joseon mathematics had a new beginning and developed along two directions, namely the traditional mathematics and one influenced by western mathematics. A great Joseon mathematician if not the greatest, Hong JeongHa was able to complete the Song-Yuan mathematics in his book GuIlJib based on his studies of merely Suanxue Qimeng, YangHui Suanfa and Suanfa Tongzong. Although Hong JeongHa did not deal with the systems of equations of higher degrees and general systems of linear congruences, he had the more advanced theories of right triangles and equations together with the number theory. The purpose of this paper is to show that Hong was able to realize the completion through his perfect understanding of mathematical structures.

• Journal of the Korean Mathematical Society
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• v.57 no.6
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• pp.1407-1433
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• 2020

Parts I-IV showed that the number of ways to place q nonattacking queens or similar chess pieces on an n × n chessboard is a quasipolynomial function of n whose coefficients are essentially polynomials in q. For partial queens, which have a subset of the queen's moves, we proved complete formulas for these counting quasipolynomials for small numbers of pieces and other formulas for high-order coefficients of the general counting quasipolynomials. We found some upper and lower bounds for the periods of those quasipolynomials by calculating explicit denominators of vertices of the inside-out polytope. Here we discover more about the counting quasipolynomials for partial queens, both familiar and strange, and the nightrider and its subpieces, and we compare our results to the empirical formulas found by Kotššovec. We prove some of Kotššovec's formulas and conjectures about the quasipolynomials and their high-order coefficients, and in some instances go beyond them.