• 대한수학회지
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• 제54권2호
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• pp.697-711
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• 2017

Let X, Y be real normed vector spaces. We exhibit all the solutions $f:X{\rightarrow}Y$ of the functional equation f(rx + sy) + rsf(x - y) = rf(x) + sf(y) for all $x,y{\in}X$, where r, s are nonzero real numbers satisfying r + s = 1. In particular, if Y is a Banach space, we investigate the Hyers-Ulam stability problem of the equation. We also investigate the Hyers-Ulam stability problem on a restricted domain of the following form ${\Omega}{\cap}\{(x,y){\in}X^2:{\parallel}x{\parallel}+{\parallel}y{\parallel}{\geq}d\}$, where ${\Omega}$ is a rotation of $H{\times}H{\subset}X^2$ and $H^c$ is of the first category. As a consequence, we obtain a measure zero Hyers-Ulam stability of the above equation when $f:\mathbb{R}{\rightarrow}Y$.

• 대한수학회논문집
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• 제22권1호
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• pp.65-74
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• 2007

Suppose that $\mu$ is a finite positive Borel measure on bounded symmetric domain $\Omega{\subset}\mathbb{C}^n\;and\;\nu$ is the Euclidean volume measure such that $\nu(\Omega)=1$. Suppose 1 < p < $\infty$ and r > 0. In this paper, we will show that the norms $sup\{\int_\Omega{\mid}k_z(w)\mid^2d\mu(w)\;:\;z\in\Omega\}$, $sup\{\int_\Omega{\mid}h(w)\mid^pd\mu(w)/\int_\Omega{\mid}h(w)^pd\nu(w)\;:\;h{\in}L_a^p(\Omega,d\nu),\;h\neq0\}$ and $$sup\{\frac{\mu(E(z,r))}{\nu(E(z,r))}\;:\;z\in\Omega\}$$ are are all equivalent. We will also show that the inclusion mapping $ip\;:\;L_a^p(\Omega,d\nu){\rightarrow}L^p(\Omega,d\mu)$ is compact if and only if lim $w\rightarrow\partial\Omega\frac{\mu(E(w,r))}{\nu(E(w,r))}=0$.

• 말소리와 음성과학
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• 제4권4호
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• pp.71-77
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• 2012

Sasang constitution experts utilize voice characteristics as an auxiliary measure for deciding a person's constitutional group. This study aims at establishing a relationship between speech features and the constitutional groups by subjective listening evaluation of voice characteristics. A speech database of 841 speakers whose constitutional groups have been already diagnosed by Sasang constitution experts was constructed. Speech features related to speech source and vocal tract filter were extracted from five vowels and one sentence. Statistically significant speech features for classifying the groups were analyzed using SPSS. The features contributed to constitution classification were speaking rate, Energy, A1, A2, A3, H1, H2, H4, CPP for males in their 20s, F0_mean, CPP, SPI, HNR, Shimmer, Energy, A1, A2, A3, H1, H2, H4 for females in their 20s, Energy, A1, A2, A3, H1, H2, H4, CPP for male in the 60s, and Jitter, HNR, CPP, SPI for females in their 60s. Experimental results show that speech technology is useful in classifying constitutional groups.

• Journal of applied mathematics & informatics
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• 제13권1_2호
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• pp.365-372
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• 2003

We show that if ${\gamma}$ $\leq$ 2, the average error of the composite Trapezoidal rule on two consecutive intervals is proportional to h$\^$2h+3/ where h is the length of each subinterval of the interval [0, 1]. As a result, we show that the Trapezoidal rule with equally spaced points is optimal in the average case setting when ${\gamma}$ $\leq$ 2.

• 한국식품영양과학회지
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• 제25권5호
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• pp.810-816
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• 1996

침지온도 $20^{\circ}C$에서 침지 후 30분에서 35분 사이에 대부분의 품종이 평형에 도달했으며, 평형수분 함량은 0.3247~0.3577(g $H_2O/g$ dry matter)로 나타났다. 초기 수분흡수 속도에서는 품종간에 차이를 나타내었으며, 특히 낙동벼의 경우 0.123g $H_2O$/$min^{1/2}$로 가장 높은 값을 나타냈다. 취반 후 밥의 수분 함량은 가수율에 따라 증가하였으며, 가수율이 1.3에서 1.6(v/w)으로 증가함에 따라서 밥의 수분 함량은 품종에 따라 약 6.0~7.0%증가하였다 가수율에 따른 취반 후 밥의 경도는 가수율이 증가할수록 감소하는 경향이었으며 끈기와 끈기대 경도의 비는 대체적으로 증가하였다.

• 전기전자학회논문지
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• 제18권4호
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• pp.447-455
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• 2014

본 연구에서는 4H-SiC MOSFET의 주요 문제점인 $SiC/SiO_2$ 계면의 특성을 향상시키기 위해 PECVD (plasma enhanced chemical vapor deposition) 공정을 이용하여 n-based 4H-SiC MOS Capacitor를 제작하였다. 건식 산화 공정의 낮은 성장속도, 높은 계면포획 밀도와 $SiO_2$의 낮은 항복전계 등의 문제를 극복하기 위하여 PECVD와 NO어닐링 공정을 사용하여 MOS Capacitor를 제작하였다. 제작이 끝난 후, MOS Capacitor의 계면특성을 hi-lo C-V 측정, I-V 측정 및 SIMS를 이용해 측정하고 평가하였다. 계면의 특성을 건식 산화의 경우와 비교한 결과 20% 감소한 평탄대 전압 변화, 25% 감소한 $SiO_2$ 유효 전하 밀도, 8MV/cm의 증가한 $SiO_2$ 항복전계 및 1.57eV의 유효 에너지 장벽 높이, 전도대 아래로 0.375~0.495eV만큼 떨어져 있는 에너지 영역에서 69.05% 감소한 계면 포획 농도를 확인함으로써 향상된 계면 및 산화막 특성을 얻을 수 있었다.

• Journal of Preventive Medicine and Public Health
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• 제18권1호
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• pp.51-57
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• 1985

To attempt to measure the effect of domestic product P.H.A. kit 'Hepa-S' after completion of 'Hepa-Vax' vaccination schedule, P.H.A. test and R.I.A. test on the 330 healthy adults were carried out. The results obtained were as follow ; 1. The positive anti HBs rate after completion of 'Hepa-Vax' vaccination were; in P.H.A. test with domestic product P.H.A. kit 81.2%, in P.H.A. test with foreign product P.H.A. kit 82.7%, and in R.I.A. test 95.8% 2. Using the result of R.I.A. test as the standard, sensitivity of P.H.A. test with domestic product P.H.A. kit was 84.8% and specificity was 100.0% 3. Using the result of R.I.A. test as standard, sensitivity of P.H.A. test with foreign P.H.A. kit was 86.4% and specificity was 100.0%. 4. The concordance rate of P.H.A. test with domestic product and foreign product kit was 98.5%. On the result of this study, there was no significant difference in the validity between the domestic product P.H.A. kit 'Hepa-S' and the foreign P.H.A. kit $'Hebsgencell^{TM}'$. So that it is recommendable to use domestic product P.H.A. kit instead of foreign product P.H.A. kit.

• 대한화학회지
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• 제9권4호
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• pp.153-160
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• 1965

벤젠과 요오드, 브롬, 염소 또는 일브롬화요오드와의 각 系를 사염화탄소 용액에서 分光光度法에 의하여 연구한 결과 $C_6H_6{\cdot}X_2$ 또는 $C_6H_6{\cdot}IX$형의 錯物이 형성됨을 알았다(X는 할로겐 原子를 표시함). 이들 錯物의 생성에 대한 $25^{\circ}$에서의 평형상수는 다음과 같다. $C_6H_6{\cdot}I_2\;0.173lmole^{-1},\;C_6H_6{\cdot}Br_2\;0,137lmole^{-1},\;C_6H_6{\cdot}Cl_2\;0.0643lmole^{-1},\;C_6H_6IBr\;0.341lmole^{-1}.$ 이 결과와 다른 사람들의 결과를 종합하면 벤젠과의 錯物의 상대적 안정도가 다음 순서로 감소함을 알 수 있다. $ICI>IBr>I_2>Br_2>Cl_2$ 이 순서는 그들의 상대적 산도를 의미하며 할로겐 분자의 편극을 및 할로겐 원자의 전기음성도의 차이에 의하여 설명할 수 있다.

• 대한수학회지
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• 제33권3호
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• pp.541-555
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• 1996

The Fourier transform plays a central role in the theory of distribution on Euclidean spaces. Although Lebesgue measure does not exist in infinite dimensional spaces, the Fourier transform can be introduced in the space $(S)^*$ of generalized white noise functionals. This has been done in the series of paper by H.-H. Kuo [1, 2, 3], [4] and [5]. The Fourier transform $F$ has many properties similar to the finite dimensional case; e.g., the Fourier transform carries coordinate differentiation into multiplication and vice versa. It plays an essential role in the theory of differential equations in infinite dimensional spaces.

• Structural Engineering and Mechanics
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• 제56권4호
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• pp.507-534
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• 2015

The present work investigates the behavior of the embankment models resting on soft soil reinforced with ordinary and stone columns encased with geogrid. Model tests were performed with different spacing distances between stone columns and two lengths to diameter ratios (L/d) of the stone columns, in addition to different embankment heights. A total number of 42 model tests were carried out on a soil with undrianed shear strength $${\sim_\sim}10kPa$$. The models consist of stone columns embankment at s/d equal to 2.5, 3 and 4 with L/d ratio equal 5 and 8. Three embankment heights; 200 mm, 250 mm and 300 mm were tested for both tests of ordinary (OSC) and geogrid encased stone columns (ESC). Three earth pressure cells were used to measure directly the vertical effective stress on column at the top of the middle stone column under the center line of embankment and on the edge stone column for all models while the third cell was placed at the base of embankment between two columns to measure the vertical effective stress in soft soil directly. The performance of stone columns embankments relies upon the ability of the granular embankment material to arch over the 'gaps' between the stone columns spacing. The results showed that the ratio of the embankment height to the clear spacing between columns (h/s-d) is a key parameter. It is found that (h/s-d)<1.2 and 1.4 for OSC and ESC, respectively; (h is the embankment height, s is the spacing between columns and d is the diameter of stone columns), no effect of arching is pronounced, the settlement at the surface of the embankment is very large, and the stress acting on the subsoil is virtually unmodified from the nominal overburden stress. When $(h/s-d){\geq}2.2$ for OSC and ESC respectively, full arching will occur and minimum stress on subsoil between stone columns will act, so the range of critical embankment height will be 1.2 (h/sd) to 2.2 (h/s-d) for both OSC and ESC models.