• Journal of the Korean Chemical Society
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• v.18 no.3
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• pp.157-170
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• 1974

The effects of ionic strength on the polynucleation reaction of tungstate ions and the protonized reaction of polytungstate ions have been investigated in the range of ionic strength from 1 M to 4 M KCl.The hexatungstate ions and the protonized forms of hexatungstate ions are formed in the tungstate solutions whose ionic strengths are 1 M to 4 M KCl. The equilibrium constants for the formation of hexatungstate ions and the protonized forms of hexatungstate ions are calculated in the range of ionic strength from 1 M to 4M KCl. The enthalpy changes for the formation of hexatungstate ions and the protonized forms of hexatungstate ions are as follows; $7H^++{6WO_4}^{2-}={HW_6O_{21}}^{5-}+3H_2O\;\;{\Delta}H^{\circ}=-62.4{\pm}0.6$$H^++{HW_6O_{21}}^{5-}={H_2W_6O_{21}}^{4-}\;\;{\Delta}H+_1^{\circ}=-4.12{\pm}0.10$$H^++{H_2W_6O_{21}}^{4-}={ H_3W_6O_{21}}^{3-}\;\;{\Delta}H_2^{\circ}=-4.36{\pm}0.30$ The free energy and entropy changes for the above reactions have been also calculated. A linear relation is formed between $log k_{6,7}$ and ionic strength, and $log k_1\;or\;log k_2\;vs{\cdot}{\mu}.$ $log k_{6,7}\;=\;D{\mu}+I,\;\;where\;D\;=\;1.66{\pm}0.02$$log k_1\;=\;D_1{\mu}+I_1,\;\;where\;D_1\;=\;-8.065{\pm}0.001$$log k_2\;=\;D_2{\mu}+I_2,\;\;where\;D_2\;=\;-0.376{\pm}0.006$

• Journal of applied mathematics & informatics
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• v.25 no.1_2
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• pp.1-15
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• 2007

Consider a Rayleigh distribution with $$pdf\;p(x/{\theta})\;=\;2x{\theta}^{-1}\;{\exp}\;({-x^2}/{\theta})$$ and mean lifetime ${\mu}\;=\;\sqrt{\pi\theta}/2$. We study the two-action problem of testing the hypotheses $H_{0}\;:\;{\mu}{\leq}{\mu}_{0}$ against $H_{1}\;:\;{\mu}\;>\;{\mu}_{0}$ using a linear error loss of ${\mid}{\mu}\;-\;{\mu}_{0}{\mid}$ via the empirical Bayes approach. We construct a monotone empirical Bayes test ${\delta}^{*}_{n}$ and study its associated asymptotic optimality. It is shown that the regret of ${\delta}^{*}_{n}$ converges to zero at a rate $\frac{{\ln}^{2}n}{n}$, where n is the number of past data available when the present testing problem is considered.

• Korean Journal of Mathematics
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• v.16 no.2
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• pp.135-143
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• 2008

We investigate the existence of nontrivial solutions of the nonlinear biharmonic system with Dirichlet boundary condition $$(0.1)\;\begin{array}{lcr}{\Delta}^2{\xi}+c{\Delta}{\xi}={\mu}h({\xi}+{\eta})\;in{\Omega},\\{\Delta}^2{\eta}+c{\Delta}{\eta}={\nu}h({\xi}+{\eta})\;in{\Omega},\end{array}$$ where $c{\in}R$ and ${\Delta}^2$ denote the biharmonic operator.

• Bulletin of the Korean Mathematical Society
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• v.33 no.1
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• pp.107-110
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• 1996

Usng the Pochhammer symbol $(\lambda)_n$ given by $$ (1.1) (\lambda)_n = {1, if n = 0 {\lambda(\lambda + 1) \cdots (\lambda + n - 1), if n \in N = {1, 2, 3, \ldots}, $$ we define a general double hypergeometric series by [3, pp.27] $$ (1.2) F_{q:s;\upsilon}^{p:r;u} [\alpha_1, \ldots, \alpha_p : \gamma_1, \ldots, \gamma_r; \lambda_1, \ldots, \lambda_u;_{x,y}][\beta_1, \ldots, \beta_q : \delta_1, \ldots, \delta_s; \mu_1, \ldots, \mu_v; ] = \sum_{l,m = 0}^{\infty} \frac {\prod_{j=1}^{q} (\beta_j)_{l+m} \prod_{j=1}^{s} (\delta_j)_l \prod_{j=1}^{v} (\mu_j)_m)}{\prod_{j=1}^{p} (\alpha_j)_{l+m} \prod_{j=1}^{r} (\gamma_j)_l \prod_{j=1}^{u} (\lambda_j)_m} \frac{l!}{x^l} \frac{m!}{y^m} $$ provided that the double series converges.

• Journal of the Korean Institute of Telematics and Electronics A
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• v.32A no.2
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• pp.48-56
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• 1995

The operating characteristics, such as, the threshold gain, lasing frequency, and longitudinal intensity profile, etc., of 1.55$\mu$m DFB laser diode with index and/or gain grating structures and with one side AR-coated mirror have been analyzed. From this analysis, the optimum design parameters have been shown that ${\Delta}{\Omega}$ (the phase difference between index grating and gain grating) is 0 or ${\pi}$, (xL)$_{r}$=1~3 and (xL)$_{i}$=0.5~0.9. It has been also shown that the modal selectivity and intensity uniformity of the DFB lasers with .DELTA..OMEGA.=0 are ~1.2 times better thatn those of the DFB lasers with ${\Delta}{\Omega}$= ${\pi}$.

• Bulletin of the Korean Chemical Society
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• v.6 no.1
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• pp.37-40
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• 1985

The electrical conductance and UV absorbance of 4,N-dimethyl Pridinium Iodide (NDMPI) were measured in the ethanol volume percentage, 95, 90, 80 and 60 of an ethanol-water mixture at 15, 25, 35 and $45^{\circ}C$. Ionic association constants(K) of NDMPI were evaluated in accordance with a combined method of conductance UV absorbance. The ion size parameter (${\gamma}_{\pm}$) and dipole momemt (${\mu}_{A+D-}$) of NDMPI were obtained from the values of K and dielectric constant. The ${\mu}_{A+D-}$- values were in good agreement with the values of transition moment(${\mu}_{mn}$) which is calculated form the UV peak values. The large negative values of the electrical enthalpy (${\Delta}H_{el}^{\circ}$) and entropy (${\Delta}H_{el}^{\circ}$ ) have proved that NDMPI had a positive hydration. The positive values of entropy (${\Delta}S^{\circ}$) means the formation of NDMPI ion goes with dehydration.

• Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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• 2001.11a
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• pp.117-126
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• 2001

Tribological properties of high temperature fade were investigated by changing relative amounts of ingredients in the brake friction material. Based on a simple experimental formulation containing 10 ingredients, friction materials were tested using a pad-on-disk type friction tester. Twenty-five friction material specimens with different relative amounts of the ingredients were manufactured according to the constrained mixture design .The difference ($\Delta$${\mu}$=${\mu}$$\sub$max/. -${\mu}$$\sub$min/. ) of friction coefficients was measured to represent the high temperature fade. Results from elevated temperature tests showed that five ingredients including cashew, graphite, Sb$_2$S$_3$, ZrSiO$_4$, and Cu fibers played important roles on $\Delta$${\mu}$. In order to find relative importance on fade phenomena among these ingredients, ANOVA(analysis of variance) was performed in this investigation. Thirty-two friction material specimens by changing ${\pm}$50vol.％ of these five ingredients were tested to examine the relative importance. Results showed that cashew, graphite '||'&'||' Sb$_2$S$_3$, and cashew '||'&'||' graphite aggravated the fade behavior and Cu fibers improved on fade resistance.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.48 no.1
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• pp.50-55
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• 2011

In this paper, Intermediate frequency tunable 4th order Switched Capacitor(SC) bandpass Sigma-Delta(${\Sigma}-{\Delta}$) modulator using feedback integrator using feedback integrator coefficients is proposed. The center frequency of the modulator can be easily changed than conventional structure because of a number of integrator coefficients which is decided rate of capacitors in circuit is reduced. In addition additive clocks and additive clock generating circuit are not necessary. The purposed modulator was implemented in $0.18{\mu}m$ CMOS technology. The resolution of the modulator within 200 kHz bandwidth and 80 MHz sampling frequency under fin = 15 MHz, 20 MHz, 25 MHz are over 12 bit.

• Proceedings of the Ginseng society Conference
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• 2006.05a
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• pp.40-51
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• 2006

To investigate the association between Korean red ginseng (KRG) intake in HIV-1 infected patients and occurrence of grossly deleted nef genes ($g{\Delta}nef$), we characterized nef genes in 10 long-term slow progressors (LTSP) infected with HIV-1 subtype B and 34 control patients. LTSP was defined whose the annual decrease in CD4 T cells was less than $20/{\mu}l$ over 10 years in the absence of antiretroviral therapy. They were treated with KRG for a prolonged period. Nef genes were amplified from peripheral blood mononuclear cells (PBMC) using nested PCR and products were sequenced directly. Patient CD4 T cell counts decreased from $444{\pm}207/{\mu}l$ to $294{\pm}177/{\mu}l$ over $136{\pm}23$ months of KRG intake. This corresponds to an annual decrease in the level of CD4 T cells of $13.3/{\mu}l$. A total of 479 nef genes were amplified from 137 PBMC samples. Nine out of the 10 patients, 47 (34.3%) out of the 137 samples, and 92 out of the 479 genes revealed $g{\Delta}nef$. The deletion extended outside the nef gene in 25 $g{\Delta}nef$ obtained from 6 patients. The proportion of samples with $g{\Delta}nef$ (34.3%) was significantly higher than 4.8% in control patients (P<0.001). In addition, it significantly increased as the duration of KRG intake prolongs (P<0.01). These data suggest the possibility that occurrence of $g{\Delta}nef$ might be associated with long-term intake of KRG.

• Journal of the Institute of Electronics and Information Engineers
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• v.49 no.10
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• pp.148-158
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• 2012

This paper presents the design of the incremental delta-sigma ADC. The proposed circuit consists of pre-amplifier, S & H circuit, MUX, delta-sigma modulator, and decimation filter. Third-order discrete-time delta-sigma modulator with 1-bit quantization were fabricated by a $0.18{\mu}m$ CMOS technology. The designed circuit show that the modulator achieves 87.8 dB signal-to-noise and distortion ratio (SNDR) over a 5 kHz signal bandwidth and differential nonlinearity (DNL) of ${\pm}0.25$ LSB, integral nonlinearity (INL) of ${\pm}0.2$ LSB. Power consumption of delta-sigma modulator is $941.6{\mu}W$. It was decided that N cycles are 200 clock for 16-bits output.