• Korean Journal of Mathematics
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• v.28 no.3
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• pp.405-419
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• 2020

The zeroth-order general Randić index ⁰R_α(G) of the graph G is defined as ∑_u∈V(G)d(u)^α, where d(u) is the degree of vertex u and α is an arbitrary real number. In this paper, the maximum value of zeroth-order general Randić index on the graphs of order n with a given clique number is presented for any α ≠ 0, 1 and α ∉ (2, 2n-1], where n = |V (G)|. The minimum value of zeroth-order general Randić index on the graphs with a given clique number is also obtained for any α ≠ 0, 1. Furthermore, the corresponding extremal graphs are characterized.

• Communications of the Korean Mathematical Society
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• v.31 no.3
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• pp.447-450
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• 2016

Let $F_n$ and $L_n$ be the nth Fibonacci number and Lucas number, respectively. The order of appearance of m in the Fibonacci sequence, denoted by z(m), is the smallest positive integer k such that m divides $F_k$. Marques obtained the formula of $z(L^k_n)$ in some cases. In this article, we obtain the formula of $z(L^k_n)$ for all $n,k{\geq}1$.

• Journal of the East Asian Society of Dietary Life
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• v.16 no.5
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• pp.497-505
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• 2006

This questionnaire study was conducted to investigate the levels of recognition and attitude for Korean traditional food among Japanese tourists. The aim was to provide basic data for making a detailed marketing direction alignment of globalization and commercialization of Korean traditional food. The results can be summarized as follows. The 'Korean wave(Hanliu)' was 'the number of known Korean star performers'(3.77 points), 'the number of watched Korean dramas'(3.67 points), 'the number of watched Korean movies'(3.44 points), 'the number of owned Korean singer's tapes or CDs'(3.04 points), 'the number of read books'(2.83 points), and 'the number of viewed cartoons'(2.49 points), in order. The high-intake frequency of Korean traditional foods was 'Bibimbap', 'Galbigui', 'Baechookimchi', 'Bulgogi', 'Kkakdugi', 'Tteokbokki', 'Japchae', 'Galbitang', 'fajeon', and 'Namullyu' in order. On the other hand, the intake frequency of 'Songpyeon', 'Inielmi', 'Sikhye' and 'Sujeonggwa' was very low. The most effective 'Hanliu' item for raising the recognition of Korean traditional food was 'the number of read books'. The most effective 'Hanliu' item for raising the experience of Korean cooking was 'the number of read books', followed by 'the number of watched Korean movies', 'the number of watched Korean dramas', and 'the number of viewed cartoons' in order. The most effective 'Hanliu' item for raising the intake frequency of Korean traditional food was' the number of watched Korean dramas', followed by 'the number of watched Korean movies' and 'the number of read books' in order.

• Bulletin of the Korean Mathematical Society
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• v.55 no.6
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• pp.1667-1690
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• 2018

We consider the minimum order of a graph G with a given lazy cop number $c_L(G)$. Sullivan, Townsend and Werzanski [7] showed that the minimum order of a connected graph with lazy cop number 3 is 9 and $k_3{\square}k_3$ is the unique graph on nine vertices which requires three lazy cops. They conjectured that for a graph G on n vertices with ${\Delta}(G){\geq}n-k^2$, $c_L(G){\leq}k$. We proved that the conjecture is true for k = 4. Furthermore, we showed that the Petersen graph is the unique connected graph G on 10 vertices with ${\Delta}(G){\leq}3$ having lazy cop number 3 and the minimum order of a connected graph with lazy cop number 4 is 16.

• Journal of the Korean Society for Library and Information Science
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• v.12
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• pp.7-37
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• 1985

In most of the modern libraries throughout the world, it is popular to adopt the author number which arranges the books or entries in alphabetical order of their author's names within the same ultimate class. However, viewed historically, that was the Western practice never used in the East before. Traditionally chronological order was followed in the East. Book number not only individualizes the books within the same class but also makes it easy for the user to choose and find out the relevant materials. In this respect, chronological book number is decidedly superior to all kinds of book number systems ever have been existed. Especially in these days of rapid obsolescence of documents and with serious problems of storage of documents, the chronological order seems to be the most modern and future-oriented of all other book number systems because it distinguishes clearly new materials from aged materials by the date of publication and controls the stack spaces mechanically and effectively. This writer devised New Chronological Book Numbers adaptable to both the Eastern and Western materials, and the system has been adopted at Yonsei University Library. The features of the system are as follows: (1) It is easy to type the call number in cataloging the Eastern and Western materials. That is because the structure of the chronological number is pure numerical notation by taking the last two figures of the year within twentieth century(e.g. 85 for AD 1985), that is 1900s, and the last three figures of the year from twenty-first century to thirtieth century, that is 2000s. (2) It does not make all classes have chronological number uniformly. Within the classes for individual biographies, genealogies and collections of biography of specific family, books about individual organization, individual literary and artistic works, philosophical works of the famous philosophers, books and its facsmile editions published before 1900, new editions, translations, commentaries, serials, chronological number is assigned to the author number as in the past. (3) It separates the Eastern materials from the Western materials and makes the typing easy in cataloging. That is because the subarrangement within the same chronological book number is made by the accession order which uses 'panjol-ponmun' or the characters of basic syllabic table of Korean alphabet in case of the Eastern materials and Roman alphabet in case of the Western materials.

• International Journal of Aeronautical and Space Sciences
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• v.11 no.4
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• pp.319-325
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• 2010

For decades, researchers have rigorously studied the characteristics of flow traveling around blunt objects in order to gain greater understanding of the flow around aircraft, vehicles or vessels. Many different types of flow exist, such as boundary layer flow, flow separation, laminar and turbulent flow, vortex and vortex shedding; such types are especially observed around circular cylinders. Vortex shedding around a circular cylinder exhibits a two-dimensional flow structure possessing a Reynolds number within the range of 47 and 180. As the Reynolds number increases, the Karman vortex changes into a three-dimensional flow structure. In this paper, a numerical analysis was performed examining the flow and aero-acoustic field characteristics around a circular cylinder using an optimized high-order compact scheme, which is a high order scheme. The analysis was conducted with a Reynolds number ranging between 300 and 1,000, which belongs to B-mode flow around a circular cylinder. For a B-mode Reynolds number, a proper spanwise length is analyzed in order to obtain the characteristics of three-dimensional flow. The numerical results of the Strouhal number as well as the lift and drag coefficients according to Reynolds numbers are coincident with the other experimental results. Basic research has been conducted studying the effects an unstable three-dimensional wake flow on an aero-acoustic field.

• Solar Energy
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• v.5 no.2
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• pp.11-19
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• 1985

In this paper, the interface stability not to occur mixing and entrainment between the adjacent layers has been studied in the case of the selective withdrawal of a stratum and the injection in stratified fluid formed by the density difference in a small solar pond. There are stability parameter, Richardson number, Rayleigh number and Froude number as the parameters governing stability in order to measure the interface stability on the stratified fluid. The model which could measure the interface stability on the stratified fluid was the small solar pond composed by 1 meters wide, 2 meters high, and 5 meters long. In order to measure the interface stability on the stratified fluid at the inlet port, the middle section and the outlet port, Richardson number, Rayleigh number, and Froude number involved in the parameters governing the stability were calculated by means of the data resulted from the test of the study on hydrodynamic stability between the convective and nonconvective layers in that solar pond. Richardson number written by the ratio of inertia force to buoyancy force can be used in order to measure the stability on the stratified fluid related to the buoyancy force generated from the injection of fluid. Rayleigh number written by the product of Grashof number by Prandtl number can be used in order to measure the stability of the fluid related to the heat flux and diffusivity of viscosity. Froude number written by the ratio of gravity force to inertia force can be used in order to measure the stability of the nonhomogeneous fluid related to the density difference. As the result of calculating the parameters governing stability, the interface stability on the stratified fluid couldn't be identified below the 70cm height from the bottom of the solar pond, but it could be identified above the 70cm height from it at the inlet port, the middle section and the outlet port. When compared with such the three parameters as Richardson number, Rayleigh number, Froude number, the calculated result was in accord with them at inlet port, the middle section and the outlet port. Henceforth, it is learned that even though any of the three parameters is used for the purpose of measuring the interface stability on the stratified fluid, the result will be the same with them. It is concluded that all the use of Richardson number, Rayleigh number, and Froude number, is desirable and infallible to measure the interface stability on the stratified fluid in the case of considering the exist of the fluid flow and the heat flux like the model of the solar pond.

• IEMEK Journal of Embedded Systems and Applications
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• v.13 no.1
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• pp.45-51
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• 2018

In this paper, a tentative Kth order Newton-Raphson's floating point number Nth root algorithm for K order convergence rate in one iteration is proposed by applying Taylor series to the Newton-Raphson root algorithm. Using the proposed algorithm, $F^{-1/N}$ and $F^{-(N-1)/N}$ can be computed from iterative multiplications without division. It also predicts the error of the algorithm iteration and iterates only until the predicted error becomes smaller than the specified value. Since the proposed algorithm only performs the multiplications until the error gets smaller than a given value, it can be used to improve the performance of a floating point number Nth root unit.

• IE interfaces
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• v.11 no.2
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• pp.199-209
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• 1998

In manufacturing industries, one of the critical issues is to synchronize the sequence of production operations with materials needed at each operation to improve productivity. In order to solve this synchronization problem. We develop a code system entitled 'Work-Order-Number' for automated storage/retrieval systems(AS/RS) in this paper. The Work-Order-Number is designed for the purpose of integrating the engineering information. material handling, production and operations scheduling, point of production, and AS/RS systems. This paper implemented the Work-Order-Number in the electric motor manufacturing. The results of the implementation showed the reduction of the number of workers in material handling and cost-loss due lo a late delivery.

• Journal of Korea Multimedia Society
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• v.22 no.9
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• pp.1029-1035
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• 2019

In this paper, a tentative Kth order Goldschmidt floating point number Nth root algorithm for K order convergence rate in one iteration is proposed by applying Taylor series to the Goldschmidt square root algorithm. Using the proposed algorithm, Nth root and Nth inverse root can be computed from iterative multiplications without division. It also predicts the error of the algorithm iteration. It iterates until the predicted error becomes smaller than the specified value. Since the proposed algorithm only performs the multiplications until the error gets smaller than a given value, it can be used to improve the performance of a floating point number Nth root unit.