• Journal of applied mathematics & informatics
• /
• v.10 no.1_2
• /
• pp.27-40
• /
• 2002

For two integers m, n with m $\leq$ n, an [m,n]-factor F in a graph G is a spanning subgraph of G with m $\leq$ d$\_$F/(v) $\leq$ n for all v ∈ V(F). In 1996, H. Enomoto et al. proved that every 3-connected Planar graph G with d$\_$G/(v) $\geq$ 4 for all v ∈ V(G) contains a [2,3]-factor. In this paper. we extend their result to all 3-connected locally finite infinite planar graphs containing no unbounded faces.

• Korean Journal of Food Science and Technology
• /
• v.25 no.1
• /
• pp.69-77
• /
• 1993

Substrate removal efficiency of industrial wastewater from dye plant was investigated with fluidized-bed biofilm reactor(FBBR). Wastewater was diluted by 2, 3 and 6 times for experiment. When F/M ratio was increased 0.2 to 0.3, substrate removal efficiency of wastewater was rapidly decreased in all dilution ratio. Substrate removal efficiency was increased with dilution ratio in same F/M ratio, with hydraulic retention time. In case of 6 times diluted wastewater, below 0.2 F/M ratio, removal efficiency of BOD was $90{\sim}97%$. For reactor design, the parameters such as Y, $k_d$ and r was obtained as follows: $Y=0.3365\;k_d=0.03782\;day^{-1}\;r=0.997$ in 2 times diluted $Y=0.3341\;k_d=0.02750\;day^{-1}\;r=0.996$ in 3 times diluted $Y=0.3365\;k_d=0.03434\;day^{-1}\;r=0.998$ in 6 times diluted

• Journal of the Korean Magnetics Society
• /
• v.3 no.2
• /
• pp.115-120
• /
• 1993

The relationship between magnetic parameter and microwave absorbing performance evaluation factor of electomagnetic wave absorber such as matching frequency, matching thickness were investigated for Ni-Zn ferrite composites. It was identified that the maximum value of ${\mu}_{r}$" is shift to low frequency with decrese Ni/Zn ratio and the value of ${\mu}_{r}$" is maximum in the case of Ni/Zn=1. All Ni-Zn ferrite composites in this study have two matching frequencies in 1-12 GHz frequency. It can be suggested that $f_{m1}$ is proportional to resonance frequency and $f_{m2}$ is proportional to the saturation magnetization.

• Bulletin of the Korean Mathematical Society
• /
• v.52 no.5
• /
• pp.1559-1568
• /
• 2015

The relative class number $H_d(f)$ of a real quadratic field $K=\mathbb{Q}(\sqrt{m})$ of discriminant d is the ratio of class numbers of $O_f$ and $O_K$, where $O_K$ denotes the ring of integers of K and $O_f$ is the order of conductor f given by $\mathbb{Z}+fO_K$. In a recent paper of A. Furness and E. A. Parker the relative class number of $\mathbb{Q}(\sqrt{m})$ has been investigated using continued fraction in the special case when $(\sqrt{m})$ has a diagonal form. Here, we extend their result and show that there exists a conductor f of relative class number 1 when the continued fraction of $(\sqrt{m})$ is non-diagonal of period 4 or 5. We also show that there exist infinitely many real quadratic fields with any power of 2 as relative class number if there are infinitely many Mersenne primes.

• Journal of Korean Society of Environmental Engineers
• /
• v.28 no.1
• /
• pp.42-47
• /
• 2006

The biological nutrient treatment is formed with repetition and rearrangement of anaerobic, anoxic and oxic tank. In this case, VFAs is generated in the anaerobic tank and the anoxic tank. The VFAs is an important factor for removal of nitrogen and phosphate and SVI. So, in this study I investigated to find a relationship among the generation rate of the VFAs according to the change of F/M ratio and the characteristic which can eliminate organic matter and nitrogen according to the change of residual concentration of the VFAs and the efficiency of the process and also SVI in wastewater treatment. $A^2/O$ process was used for wastewater treatment. F/M ratio was under the control of the change of MLSS concentration. When the F/M ratio was changed from 0.16 to 0.08 kg-BOD/kg-MLSS/day, the VFAs's production volume increased based on the reduction of F/M ratio in batch reaction. And the residual concentration of the VFAs decreased at first and then increased later. SVI and SS were high when F/M ratio was $0.16kg/kg{\cdot}d$ and showed stable status when F/M ratio decreased $0.11{\sim}0.13kg/kg{\cdot}d$. However, SVI and SS continuously increased with decrease of F/M ratio and were high at $0.08kg/kg{\cdot}d$. In the result of comparison between residual concentration of the VFAs and denitrification rate in anoxic tank, the less residual volume of the VFAs was in anoxic tank, the higher denitrification ratio became. The optimal residual-concentration of the VFAs considering SVI and removal efficiency of nitrogenwas $1.4{\sim}2.2mg/L$. At that time F/M ratio was $0.11{\sim}0.13$ kg-BOD/kg-MLSS/day.

• Journal of the Korean Magnetics Society
• /
• v.6 no.4
• /
• pp.264-271
• /
• 1996

A magnetically shielded room has been constructed for biomagnetic applications. The room has internal dimensions of $2\;m(length){\times}2\;m(width){\times}2.5\;m(height)$ and it consists of high permeability Mumetal and high conductivity alummum, utilizing ferromagnetic shielding and eddy current shielding. The de shielding factor around the center of the room is above 60 dB, and the ac shielding factors at 1 and 10 Hz are larger than 60 and 80 dB, respectively. The internal magnetic field noise at 1 Hz is $500\;fT/{\sqrt}Hz$ and at 10 Hz is $100\;fT/{\sqrt}Hz$, and the field gradient noise at 1 Hz is below $7\;fT/cm{\sqrt}Hz$. Successful measurements of cardiomagnetic fields usmg SQUID magnetometer and neuromagnetic fields using SQUID gradiometer have been done.

• The Korean Journal of Pharmacology
• /
• v.23 no.2
• /
• pp.133-141
• /
• 1987

The effects of verapamil and tetracaine on acetylcholine-and oxytocin-induced contraction of uterus from estrogen-treated rat were examined. Isometric tensions were recorded on the Physiograph and stored in TriGem 20XT computer as digitized data for off-line analysis of the components, which described the contraction patterns: trought tension (T), peak tension (P), contraction frequency (F), and duration (D). In the acetylcholine-induced contraction, verapamil $(0.25\;{\mu}M)$ significantly decreased P and D. In contrast, tetracaine $(42{\mu}M)$ decreased F, but increased D. In the low oxytocin-induced contraction, verapamil $(0.25\;{\mu}M)$ decreased P and D, and tetracaine $(42{\mu}M)$ decreased F but increased D. In the high oxytocin-induced contraction, verapamil decreased P and D, but tetracaine decreased P without affecting on other components. These results suggest that the analysis of effects of a certain inhibitor on the components of contraction allow to postulate its specific inhibitory mechanism of the smooth muscle contraction.

• Bulletin of the Korean Mathematical Society
• /
• v.46 no.2
• /
• pp.235-243
• /
• 2009

In this paper we will investigate the superstability of the generalized d'Alembert type functional equations ${\sum}^m_{i=1}f(x+{{\sigma}^i}(y))$ = kg(x)f(y) and ${\sum}^m_{i=1}f(x+{{\sigma}^i}(y))$ = kf(x)g(y).

• The Transactions of the Korea Information Processing Society
• /
• v.6 no.8
• /
• pp.2124-2132
• /
• 1999

Given a graph G=(V,E), Ld(2,1)-labeling of G is a function f : V(G)$\longrightarrow$[0,$\infty$) such that, if v1,v2$\in$V are adjacent, $\mid$ f(x)-f(y) $\mid$$\geq$2d, and, if the distance between and is two, $\mid$ f(x)-f(y) $\mid$$\geq$d, where dG(,v2) is shortest distance between v1 and in G. The L(2,1)-labeling number (G) is the smallest number m such that G has an L(2,1)-labeling f with maximum m of f(v) for v$\in$V. This problem has been studied by Griggs, Yeh and Sakai for the various classes of graphs. In this paper, we discuss the upper-bound of ${\lambda}$ (G) for a chordal graph G and that of ${\lambda}$(G') for a permutation graph G'.

• The Journal of the Korean dental association
• /
• v.16 no.8 s.111
• /
• pp.619-624
• /
• 1978

The use of mouth-rinses containing sodium fluoride after tooth brushing has been proposed as a potentially useful measure for the prevention of dental caries in the practice of public health. About 700 middle school girls rinsed their mouths in the school once a week with sodium fluoride sodution after tooth-brushing. Tooth brushing was practiced everyday after meals and the rinses were carried out under the supervision of the teachers. The procedure consisted of gargling 10cc of fluoride solution for one minute and immediately followed by a second rinse with tap water. The rinsing was started in May 1976 and continued for one year. The results were as follows: 1) The inhibition of the 'D' Person rate was 76.04%, 'M' person rate was 80.79%, 'F' person rate was 4.06% and, 'D.M.F.' person rate was 76.86%. 2) the reduction of the 'D.T.' Index was 81.94%, 'M.T.' Index was 85.71%, 'F.T.' Index was 7.69% and, 'D.M.F.T.' Index was 76.83%. 3) Mouth rinsing with 0.3% NaF solution and tooth brushing are of value in the mass control of dental caries.