• Kyungpook Mathematical Journal
• /
• v.48 no.3
• /
• pp.359-366
• /
• 2008

Let A(p) be the class of functions $f\;:\;z^p\;+\;\sum\limits_{j=1}^{\infty}a_jz^{p+j}$ analytic in the open unit disc E. Let, for any integer n > -p, $f_{n+p-1}(z)\;=\;z^p+\sum\limits_{j=1}^{\infty}(p+j)^{n+p-1}z^{p+j}$. We define $f_{n+p-1}^{(-1)}(z)$ by using convolution * as $f_{n+p-1}\;*\;f_{n+p-1}^{-1}=\frac{z^p}{(1-z)^{n+p}$. A function p, analytic in E with p(0) = 1, is in the class $P_k(\rho)$ if ${\int}_0^{2\pi}\|\frac{Re\;p(z)-\rho}{p-\rho}\|\;d\theta\;\leq\;k{\pi}$, where $z=re^{i\theta}$, $k\;\geq\;2$ and $0\;{\leq}\;\rho\;{\leq}\;p$. We use the class $P_k(\rho)$ to introduce a new class of multivalent analytic functions and define an integral operator $L_{n+p-1}(f)\;\;=\;f_{n+p-1}^{-1}\;*\;f$ for f(z) belonging to this class. We derive some interesting properties of this generalized integral operator which include inclusion results and radius problems.

• Journal of Oriental Neuropsychiatry
• /
• v.16 no.2
• /
• pp.181-188
• /
• 2005

The purpose of this study is to investigate how much acupuncture treatment and autogenic training can affect to physical, mental relaxation through neurofeedback(Alpha/Theta training). I measured the numerical value of Alpha/H-Beta on the patient with facial tremor due to anxiety during acupuncture treatment and autogenic training, and when that patient wasn't relaxed I gave her feedback. The result shows that autogenic training is always more effective than aucupuncture in making the patient relaxed. On this case, the symptom was not much improved after having the treatments 10 times, but the frequency and intensity of the tremor decresed little. In according to the number of treatments, relaxtion didn't ascend regularly. I think it depends on the patient's condition or surroundings. I am unsatisfied I had only one case in this study and the number of treatments wasn't enough. In the future, much more clinical and statistical studies on herbal, musical, aroma therapies should be needed.

• Ocean and Polar Research
• /
• v.28 no.2
• /
• pp.153-161
• /
• 2006

To investigate inflow path of the East Sea Intermediate Water (ESIW) into the Ulleung Basin, hydrographic data surveyed in July 2005 were analyzed. The ESIW was characterized by the Salinity Minimum Layer (SML) within a depth range of 100 to 360 meters. Averaged potential temperature and salinity of the SML were $1.835^{\circ}C$ and 34.049 psu, respectively. Mean potential density $({\sigma}_{\theta})$ of the SML was 27.221 with a standard deviation of 0.0393. On isopycnal surfaces of 27.14 and 27.18 $({\sigma}_{\theta})$ which correspond to upper layers of the ESIW, the coastal low salinity water was separated from the offshore low salinity water by the relatively warm and saline water which might be affected by the Tsushima Warm Current Water. Relatively cold and fresh water, however, intruded into the Ulleung Basin from the region of Korean coast on isopycnal surfaces of 27.22 and 27.26 which was lower layer of the ESIW. The salinity distribution in the isopycnal layer of $27.14{\sim}27.26$ with acceleration potential on 27.22 up surface also showed clearly that the low salinity water flowed from the coastal area and intruded into the Ulleung Basin. This implies that the ESIW flows ken the north to the south along the east coasts of Korea and spreads into the Ulleung Basin in summer.

• Journal of the Korean Crystal Growth and Crystal Technology
• /
• v.5 no.3
• /
• pp.269-277
• /
• 1995

Ultrafine TEX>$Al_2O_3$ powders were prepared from $AlCl_3$ and $Al_2(SO_4)_3$3 by using inductively coupled plasma (lCP) of ultrahigh temperature (above 5000 K) in heat source. The prepared $Al_2O_3$ powders had ${\alpha} - group ({\alpha}, {wdelta} ;and; {\theta})$ phase, a narrow size distribution and around 20 nm in meansize. It could be suggested that gas - solid reaction growth and interparticle sintering occured at the center of ICP tail flame (X = 500 mm) through the results of deposited aggregates - flock, whisker and platy on MgO polycrystal plate. And the formation mechanism of $Al_2O_3$ powders In spray - ICP reactor were described from upper results.

• Bulletin of the Korean Mathematical Society
• /
• v.52 no.1
• /
• pp.105-123
• /
• 2015

Let $f_{\beta}=h_{\beta}+\bar{g}_{\beta}$ and $F_a=H_a+\bar{G}_a$ be harmonic mappings obtained by shearing of analytic mappings $h_{\beta}+g_{\beta}=1/(2isin{\beta})log\((1+ze^{i{\beta}})/(1+ze^{-i{\beta}})\)$, 0 < ${\beta}$ < ${\pi}$ and $H_a+G_a=z/(1-z)$, respectively. Kumar et al. [7] conjectured that if ${\omega}(z)=e^{i{\theta}}z^n({\theta}{\in}\mathbb{R},n{\in}\mathbb{N})$ and ${\omega}_a(z)=(a-z)/(1-az)$, $a{\in}(-1,1)$ are dilatations of $f_{\beta}$ and $F_a$, respectively, then $F_a\tilde{\ast}f_{\beta}{\in}S^0_H$ and is convex in the direction of the real axis, provided $a{\in}[(n-2)/(n+2),1)$. They claimed to have verified the result for n = 1, 2, 3 and 4 only. In the present paper, we settle the above conjecture, in the affirmative, for ${\beta}={\pi}/2$ and for all $n{\in}\mathbb{N}$.

• Bulletin of the Korean Mathematical Society
• /
• v.48 no.3
• /
• pp.655-672
• /
• 2011

Let $C^r$[0,t] be the function space of the vector-valued continuous paths x : [0,t] ${\rightarrow}$ $R^r$ and define $X_t$ : $C^r$[0,t] ${\rightarrow}$ $R^{(n+1)r}$ and $Y_t$ : $C^r$[0,t] ${\rightarrow}$ $R^{nr}$ by $X_t(x)$ = (x($t_0$), x($t_1$), ..., x($t_{n-1}$), x($t_n$)) and $Y_t$(x) = (x($t_0$), x($t_1$), ..., x($t_{n-1}$)), respectively, where 0 = $t_0$ < $t_1$ < ... < $t_n$ = t. In the present paper, with the conditioning functions $X_t$ and $Y_t$, we introduce two simple formulas for the conditional expectations over $C^r$[0,t], an analogue of the r-dimensional Wiener space. We establish evaluation formulas for the analogues of the analytic Wiener and Feynman integrals for the function $G(x)=\exp{{\int}_0^t{\theta}(s,x(s))d{\eta}(s)}{\psi}(x(t))$, where ${\theta}(s,{\cdot})$ and are the Fourier-Stieltjes transforms of the complex Borel measures on ${\mathbb{R}}^r$. Using the simple formulas, we evaluate the analogues of the conditional analytic Wiener and Feynman integrals of the functional G.

• Journal of Electrical Engineering and Technology
• /
• v.8 no.5
• /
• pp.1169-1174
• /
• 2013

The objective of this work was to increase the efficiency of ultraviolet-light emitting diodes at 375 nm for sterilization. Since $TiO_2$ had antibacterial properties, which were attributed to the appearance of hydroxyl radicals and superoxide radical anions on the surface species under ultra violet radiation at about 387 nm, photo-reactive layers such as Ag-doped $TiO_2$ were coated on aluminum substrates by electrostatic spraying. Crystallinity and surface morphology of the coating layer were examined by X-ray diffraction ${\theta}-2{\theta}$ scan and field emission-scanning electron microscope, respectively. In an antibacterial test, we observed above 99% reduction of Escherichia coli populations on 3 or 5 mol% Ag-doped $TiO_2$ layers after irradiation for 2 hrs at 375 nm, while very low inactivation on bare aluminum substrates occurred after irradiation as the same condition.

• KOREAN JOURNAL OF CROP SCIENCE
• /
• v.56 no.4
• /
• pp.293-298
• /
• 2011

Physical and structural characteristics of four local barnyardgrass flour and starch were investigated. Amylose content ranged from 6.9 to 12.5%. The BP 3563 and BP 3606 were low amylose lines, and the BP 3592 and BP 3610 showed very low amylose lines. Peak viscosities of four barnyardgrass collections BP-3563, BP-3592, BP-3606, and BP-3610 ranged 264 to 2397. All barnyard grass lines displayed an A-type X-ray diffraction pattern showing the strong diffraction peak at around $2{\theta}$ values $15^{\circ}$, $17^{\circ}$, $18^{\circ}$ and $23^{\circ}$, and a small peak at $20^{\circ}$ $2{\theta}$. Scanning electron microscopy revealed that the starch granule sizes ranged $5.5-12.5{\mu}m$ in diameter showing polygonal and rarely spherical in shape with round edges and some pores at the surface. Starch crystallinity of BP 3563, BP 3592, BP 3606, and BP 3610 was 23.9, 25.0, 24.7, and 25.5%, respectively.

• Journal of the Korean Society of Safety
• /
• v.25 no.3
• /
• pp.123-130
• /
• 2010

Electroencephalogram(EEG) would be the most objective psychophysiological research technique on human errors though few research has been taken yet. This study aimed to get characteristics of human error while committing simple Odd-Ball tasks by utilizing the power spectrum technique of EEG data. Each experiment was composed of 3 tasks with different rules, and 8 young undergraduate students participated in this study as paid subjects. The result showed in the affirmative that subject and the interaction of subject and task factors were statistically significant on variation of $\alpha$ band power $P_{\alpha/(\alpha+\beta+\theta)}$ and $\beta$ band power $P_{\beta/(\alpha+\beta+\theta)}$, and that the former increasing in backward direction to Pz reflects compatibility whereas the latter increasing in forward direction to Fz reflects familiarity. Therefore it was coucluded that, since task 2 carried out in the present research requiring decoding process would be more difficult to human beings than the task merely requiring psychological recall process, task 1 and task 3 were classified into a homogenious group excluding task 2, and the ratio $\alpha$ band power to $\beta$ band power indicated enormous increase of $\alpha$ band power relative to $\beta$ band power in the cases of contra-lateral errors, especially in task 2.

• Journal of Korean Ophthalmic Optics Society
• /
• v.4 no.2
• /
• pp.51-55
• /
• 1999

The eye movement of the eyeball's center of a rotation can represent with the rotation matrix $R_x$, $R_y$, $R_z$ due to a coordinate axis rotation transformation of Cartesian coordinate, and describes of an abduction, an adduction, an elevation, a depression, an intorsion, an extorsion in principle rotation six forms of the eye. The eye movement from primary eye position to tertiary eye position could be composed with the rotation matrix combination, and by the primary rotation of six and the secondary rotation of eight, could be represented with the extrocular muscle of six. The position of the cornea vertex point or pupil point due to the eye movement can describe to transform the rotation matrix of the cartesian coordinate to spherical coordinate$(r,{\theta},{\phi})$.