• Journal of applied mathematics & informatics
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• v.39 no.3_4
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• pp.381-403
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• 2021

Consider the three-dimensional system of difference equations $x_{n+1}=\frac{{\prod_{j=0}^{k}}z_n-3j}{{\prod_{j=1}^{k}}x_n-(3j-1)\;\(a_n+b_n{\prod_{j=0}^{k}}z_n-3j\)}$, $y_{n+1}=\frac{{\prod_{j=0}^{k}}x_n-3j}{{\prod_{j=1}^{k}}y_n-(3j-1)\;\(c_n+d_n{\prod_{j=0}^{k}}x_n-3j\)}$, $z_{n+1}=\frac{{\prod_{j=0}^{k}}y_n-3j}{{\prod_{j=1}^{k}}z_n-(3j-1)\;\(e_n+f_n{\prod_{j=0}^{k}}y_n-3j\)}$, n ∈ ℕ₀, where k ∈ ℕ₀, the sequences $(a_n)_{n{\in}{\mathbb{N}}_0$, $(b_n)_{n{\in}{\mathbb{N}}_0$, $(c_n)_{n{\in}{\mathbb{N}}_0$, $(d_n)_{n{\in}{\mathbb{N}}_0$, $(e_n)_{n{\in}{\mathbb{N}}_0$, $(f_n)_{n{\in}{\mathbb{N}}_0$ and the initial values x_-3k, x_-3k+1, …, x₀, y_-3k, y_-3k+1, …, y₀, z_-3k, z_-3k+1, …, z₀ are real numbers. In this work, we give explicit formulas for the well defined solutions of the above system. Also, the forbidden set of solution of the system is found. For the constant case, a result on the existence of periodic solutions is provided and the asymptotic behavior of the solutions is investigated in detail.

• The KIPS Transactions:PartA
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• v.12A no.6 s.96
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• pp.499-506
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• 2005

Recently, Hyper-Star network HS(m,k) which improves the network cost of hypercube has been proposed. In this paper, we show that the bisection width of regular Hyper-Star network HS(2n,n) is maximum (2n-2,n-1). Using the concept of container, we also show that k-wide diameter of HS(2n,n) is less than dist(u,v)+4, and the fault diameter is less than D(HS(2n,n))+2, where dist(u,v) is the shortest path length between any two nodes u and v in HS(2n,n), and D(HS(2n,n)) is its diameter.

• Solar Energy
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• v.11 no.3
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• pp.74-83
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• 1991

In this study, the (p)ZnTe/(n)Si solar cell and (n)CdS-(p)ZnTe/(n)Si poly-junction thin film are fabricated by vaccum deposition method at the substrate temperature of $200{\pm}1^{\circ}C$ and then their electrical properties are investigated and compared each other. The test results from the (p)ZnTe/(n)Si solar cell the (n)CdS-(p)ZnTe/(n)Si poly-junction thin fiim under the irradiation of solar energy $100[mW/cm^2]$ are as follows; Short circuit current$[mA/cm^2]$ (p)ZnTe/(n)Si:28 (n)CdS-(p)ZnTe/(n)Si:6.5 Open circuit voltage[mV] (p)ZnTe/(n)Si:450 (n)CdS-(p)ZnTe/(n)Si:250 Fill factor (p)ZnTe/(n)Si:0.65 (n)CdS-(p)ZnTe/(n)Si:0.27 Efficiency[%] (p)ZnTe/(n)Si:8.19 (n)CdS-(p)ZnTe/(n)Si:2.3 The thin film characteristics can be improved by annealing. But the (p)ZnTe/(n)Si solar cell are deteriorated at temperatures above $470^{\circ}C$ for annealing time longer than 15[min] and the (n)CdS-(p)ZnTe/(n)Si thin film are deteriorated at temperature about $580^{\circ}C$ for longer than 15[min]. It is found that the sheet resistance decreases with the increase of annealing temperature.

• School Mathematics
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• v.8 no.1
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• pp.27-43
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• 2006

The objective of this paper is to design teaching units to foster secondary pre-service teachers' mathematising abilities. In these teaching units we focus on generalizing area of a 2-dimensional triangle and volume of a 3-dimensional tetrahedron to n-volume of n-simplex In this process of generalizing, principle of the permanence of equivalent forms and Cavalieri's principle are applied. To find n-volume of n-simplex, we define n-orthogonal triangular prism, and inquire into n-volume of it. And we find n-volume of n-simplex by using vectors and determinants. Through these teaching units, secondary pre-service teachers can understand and inquire into n-simplex which is generalized from a triangle and a tetrahedron, and n-volume of n-simplex which is generalized from area of a triangle and volume of a tetrahedron. They can also promote natural connection between school mathematics and academic mathematics.

• Journal of the Korean Society for Heat Treatment
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• v.18 no.5
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• pp.281-287
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• 2005

Titanium aluminium nitride((TiAl)N) film is anticipated as an advanced coating film with wear resistance used for drills, bites etc. and with corrosion resistance at a high temperature. In this study, (TiAl)N thin films were deposited both at room temperature and at elevated substrate temperatures of 573 to 773 K by using a two-facing-targets type DC sputtering system in a mixture Ar and $N_2$ gases. Atomic compositions of the binary Ti-Al alloy target is Al-rich (25Ti-75Al (atm%)). Process parameters such as precursor volume %, substrate temperature and Ar/$N_2$ gas ratio were optimized. The crystallization processes and phase transformations of (TiAl)N thin films were investigated by X-ray diffraction, field-emission scanning electron microscopy. The microhardness of (TiAl)N thin films were measured by a dynamic hardness tester. The films obtained with Ar/$N_2$ gas ratio of 1:3 and at 673 K substrate temperature showed the highest microhardness of $H_v$ 810. The crystallized and phase transformations of (TiAl)N thin films were $Ti_2AlN+AlN{\rightarrow}TiN+AlN$ for Ar/$N_2$ gas ratio of 1:3, $Ti_2AlN+AlN{\rightarrow}TiN+AlN{\rightarrow}Ti_2AlN+TiN+AlN$ for Ar/$N_2$ gas ratio of 1:1 and $TiN+AlN{\rightarrow}Ti_2AlN+TiN+AlN{\rightarrow}Ti_2AlN+AlN{\rightarrow}Ti_2AlN+TiN+AlN$ for Ar/$N_2$ gas ratio of 3:1. The above results are discussed in terms of crystallized phases and microhardness.

• The KIPS Transactions:PartA
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• v.14A no.5
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• pp.263-268
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• 2007

In this paper, we analyze some topological properties of Folded Hyper-Star FHS(2n,n). First, we prove that FHS(2n,n) has maximal fault tolerance, and broadcasting time using double rooted spanning tree is 2n-1. Also we show that FHS(2n,n) can be embedded into Folded hypercube with dilation 1, and Folded hypercube can be embedded into FHS(2n,n) ith dilation 2 and congestion 1.

• Proceedings of the IEEK Conference
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• 2002.06c
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• pp.169-172
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• 2002

In this paper, we consider the problem of embedding Fibonacci linear array, Fibonacci mesh, Fibonacci tree into Fibonacci circulants and between Fibonacci cubes and Fibonacci circulants. We show that the Fibonacci linear array of order n , Ln is a subgraph of the Fibonacci circulants of order n , En with En◎ Ln,n≥0 , the Fibonacci mesh of order (nt,n2), M(n,.nT)with S2n.1 f( M(n.れ)닌 M(n.1.n.1)), 52れ 늰( M(n.n.1)띤 M(H.n-1)) and the Fibonacci tree-lof order n, FT/sub n/ with ∑/sub n+3/⊇ FTn , n≥0, the Fibonacci tree-ll of order n , Tれ with ∑/sub n/⊇ Tn Fu퍼hermore, 낀e show that the Fibonacci cubes of order n , rn is subgraph of the Fibonacci circulants of order n , En and inversely rn can be embedded into En with expansion 1, dilation n -2 and congestion.

• YAKHAK HOEJI
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• v.45 no.1
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• pp.7-15
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• 2001

For the purpose of defining the effects of N-acyl groups on the anticonvulsant activities of N-acyl-$\alpha$-amino-glutarimides, various (R)- and (S)-N-acyl-$\alpha$-aminoglutarimide were prepared from the corresponding N-Cbz-glutamic acid and were evaluated their anticonvulsant activities in the MES and PTZ test, including their neurotoxicities. Among the tested compounds, only (R) N-cinnamoyl-$\alpha$-amino-N-methylglutarimide showed anticonvulsant activity in the MES and PTZ test. And the other tested compounds was active in the only PTZ test. The order of anticonvulsant activities in the PTZ test was as followes; for the (R) series, N-4-methoxycinnamoyl = cinnamoyl > N-4-nitrobenzoyl > N-benzoyl > N-phenylacetyl; for the (S) series, N-4-methoxycinnamoyl = N-3-nitrobenzoyl > N-4-nitrobenzoyl = N-cinnamoyl = N-phenylacetyl. From the above results, it was conceivable that the substituted N-acyl group had important effects on the anticonvulsant activities of these compounds. However stereoisomeric deferences in the anticonvulsant activities were not exhibited clearly.

• Journal of the Korean Chemical Society
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• v.54 no.4
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• pp.387-394
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• 2010

The theoretical calculations for $B_nH_n$, $B_nH_{n+1}$, $B_nH_{n+2}$ (n = 3-6) have been considered at the B3LYP level of theory with the 6-311G$^*$ basis set. The optimized geometries, harmonic vibrational frequencies, and binding energies are evaluated to elucidate the thermodynamic stability and spectroscopic properties. The harmonic vibrational frequencies for the molecules considered in this study show all real numbers implying true minima and the binding energies are corrected using zero-point vibrational energies (ZPVE). The binding energies and average energies due to increasing of BH monomer are predicted.

• Journal of The Korean Society of Grassland and Forage Science
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• v.13 no.4
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• pp.278-285
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• 1993

This experiment was conducted to investigate the productivity in permanent orchardgrass grassland according to the urea fertilization levels of 0, 100, 200 kg N/ha and the animal excreta fertilization levels of 0. 40, 80, 160 kg N/ha on the basis of N contents respectively and NO$_3$-N content of the soil. The results were obtained as follows; 1. The productivity of grassland was significantly increased by the increase of the excreta fertilization levels until the urea-N level fertilization of 100 kg/ha but repressed and reduced by the increase to 160 kg/ha level of the animal excreta fertilization at urea-N fertilization level of 200 kg/ha. 2. Averaged seasonal productivity of the animal excreta N was decreased in first and third cutting time and was increased in second cutting time according to the increase of urea-N fertilization. 3. The increase of urea-N and animal excreta N increased the content of crude protein but the fertilization effect of urea-N was higher than that of animal excreta N. 4. The total yield of N was continuously increased at both of the urea-N and animal excreta N but the pure yield of N was decreased according to the increase of N fertilization and showed -63.1 kg/ha at the fertilization of the urea-N of 200 kg N/ha and animal excreta N of 160 kg/ha. 5. NO$_3$-N content of the soil of orchardgrass glassland established one year previously was no difference among the N variety and fertilization levels but was increased to the order of summer, autumn and winter. The highest content of NO$_3$-N was measured in winter with the value of 34.9 ppm.