• Honam Mathematical Journal
• /
• v.41 no.2
• /
• pp.381-390
• /
• 2019

In this paper, we introduce interesting subclasses ${\mathcal{H}}^{p,q,{\beta},{\alpha}}_{{\sigma}B}$ and ${\mathcal{H}}^{p,q,{\beta}}_{{\sigma}B}({\gamma})$ of bi-univalent functions by (p, q)-derivative operator. Furthermore, we find upper bounds for the second and third coefficients for functions in these subclasses. The results presented in this paper would generalize and improve some recent works of several earlier authors.

• Journal of the Korean Statistical Society
• /
• v.19 no.2
• /
• pp.182-185
• /
• 1990

Let a p-component vector y have a p-variate normal distribution $N(b\theta, \Sigma), \Sigma$ unknown, b specified, then for testing $\theta = 0$ against general $\theta$, Khatri and Rao (1987) derive a certain t test and obtain its power function. This paper presents a direct derivation of this power function in terms of the original variates unlike Khatri and Rao (1987) who resort to the canonical transformations of the original variates and the conditional distributions.

• Journal of the Korean Statistical Society
• /
• v.4 no.1
• /
• pp.9-17
• /
• 1975

A, B 두 요인의 영향을 받고 있다고 생각되는 rc개 측정치가 있고 이것이 다음과 같이 $r\timesc$ 이차분류표로 정리되었다고 하자. 여기에서 $$y_{ij} = \mu + \alpha_i + \beta_j + \epsilon_{ij}$$ 와 같은 가법모형을 생각한다. 그리고 $\epsilon_{ij}$는 잔여항으로써 평균이 0, 분산이 $\sigma^2$인 정규분포를 한다고 가정하는 것이 보통이다. 또 이것은 모수모형인 경우 $E(y_{ij}) = \mu + \alpha_i + \beta_i, v(y_{ij}) = \sigma^2$임을 의미하는 것으로 생각된다. 그러나 자료에 따라서는 위에서와 같은 가법적 모형을 적용한다는 것이 적당하지 못한 경우가 있다.

• ETRI Journal
• /
• v.31 no.4
• /
• pp.393-398
• /
• 2009

The operation of a first-order 2-bit adaptive sigma-delta modulation system is described and discussed in this paper. The system operation is based on the combination of both "memory" and "look-ahead" estimation in the employed step-size adaptation algorithm of the basic quantizer. In comparison to simple systems and other adaptive sigma-delta systems, computer simulation results show that these features of the described system are responsible for the high SNR values and the extended dynamic range achieved for AC signals as well as the noise power reduction of almost 10 dB and the complete elimination of the idle tones for DC signals. However, such an advantageous performance requires the least possible multiplicative error accumulation, and this cannot be achieved without analog circuits of the highest possible accuracy.

• ETRI Journal
• /
• v.30 no.4
• /
• pp.535-545
• /
• 2008

This paper introduces a systematic top-down and bottom-up design methodology to assist the designer in the implementation of continuous-time (CT) cascade sigma-delta (${\Sigma}{\Delta}$) modulators. The salient features of this methodology are (a) flexible behavioral modeling for optimum accuracy-efficiency trade-offs at different stages of the top-down synthesis process, (b) direct synthesis in the continuous-time domain for minimum circuit complexity and sensitivity, (c) mixed knowledge-based and optimization-based architectural exploration and specification transmission for enhanced circuit performance, and (d) use of Pareto-optimal fronts of building blocks to reduce re-design iterations. The applicability of this methodology will be illustrated via the design of a 12-bit 20 MHz CT ${\Sigma}{\Delta}$ modulator in a 1.2 V 130 nm CMOS technology.

• Bulletin of the Korean Chemical Society
• /
• v.3 no.1
• /
• pp.13-18
• /
• 1982

The new substituent constants $({\sigma}^{\ast})$ are calculated from the acidity constants $(pK^{\ast})$ of phenol derivatives in the excited state ($^1L_b$). These substituent constant are applied to the Hammett equations and found good correlation with $pK^{\ast}$ of 2,6-di-tert-butyl phenol, benzamide, nitroaniline, thiophenol, azobenzene, and benzoic acid derivatives. The correlation was much better than that of ground state substituent constants such as ${\sigma},\;{\sigma}^+$, and ${\sigma}^-$. From these results, the new substituent constants $({\sigma}^{\ast})$are proposed to be used for the linear free energy relationship in the $^1({\pi},{\pi}^{\ast})$ excited states of phenyl compounds.

• Communications of the Korean Mathematical Society
• /
• v.28 no.3
• /
• pp.487-500
• /
• 2013

In this paper we provide a brief introduction to the continuity of approximate point spectrum on the algebra B(X), using basic properties of Fredholm operators and the SVEP condition. Also, we give an example showing that in general it not holds that if the spectrum is continuous an operator T, then for each ${\lambda}{\in}{\sigma}_{s-F}(T){\setminus}\overline{{\rho}^{\pm}_{s-F}(T)}$ and ${\in}$ > 0, the ball $B({\lambda},{\in})$ contains a component of ${\sigma}_{s-F}(T)$, contrary to what has been announced in [J. B. Conway and B. B. Morrel, Operators that are points of spectral continuity II, Integral Equations Operator Theory 4 (1981), 459-503] page 462.

• Proceedings of the Korea Association of Crystal Growth Conference
• /
• 1999.06a
• /
• pp.45-49
• /
• 1999

When concentration of vacancies in a CZ silicon crystal is defined by molar fraction XB, the degree of super-saturation $\sigma$ is given by [XB-XBS]/XBS=XB/XBS-1=ln (XB/XBS) because XB/XBS is nearly equal to unity. Here, XBS is the saturated concentration of vacancies in a silicon crystal and XB is a little larger than XBS. According to Bragg-Williams approximation, the chemical potential of the vacancies in the crystal is given by ${\mu}$B=${\mu}$0+RT ln XB+RT ln ${\gamma}$, where R is the gas constant, T is temperature, ${\mu}$0 is an ideal chemical potential of the vacancies and ${\gamma}$ is an adjustable parameter similar to the activity of solute in a solution. Thus, $\sigma$(T) is equal to (${\mu}$B-${\mu}$BS)/RT. Driving force of nucleation of the vacancy agglomeration will be proportional to the chemical potential difference (${\mu}$B-${\mu}$BS) or $\sigma$(T), while growth of the vacancy agglomeration is proportional to diffusion of the vacancies and grad ${\mu}$B.

• Journal of the Institute of Electronics Engineers of Korea SD
• /
• v.44 no.2
• /
• pp.25-33
• /
• 2007

In this paper, a fourth-order single-bit delta-sigma modulator is presented and implemented. The loop-filter is composed of both feedback and feedforward paths. Measurement results show that maximum 99dB dynamic range is achievable at a clock rate of 3.2MHz for 20kHz baseband. The proposed modulator has been fabricated in a $0.18{\mu}m$ standard CMOS process.

• Korean Journal of Microbiology
• /
• v.32 no.4
• /
• pp.264-270
• /
• 1994

A gene coding for a novel putative $\sigma$ factor of RNA polymerase has been identified from Streptomyces coelicolor A3(2) using Escherichia coli rpoS gene fragment as a probe. The 486 bp rpoS gene fragment was amplified from E. coli genomic DNA by PCR with two synthetic oligonucleotides, the sequences of which were deduced from the amino acid sequences in the regions 2.3 and 4.2 conserved among various bacterial factors. When E. coli genomic DNA fragments were hybridized with cloned rpoS probe, only one band corresponding to rpoS gene (3.2 kb PvuII fragment or 2.3 kb KpnI fragment) was detected. In S. coelicolor, however, two bands were detected both in PvuII digested DNA and SalI digested DNA. 3.5 kb PvuII fragment which binds the rpoS gene probe was cloned (pMS1) from the sublibrary, and the nucleotide sequences of 1.0 kb BamH'/HincII subclone (pBH2) was partially determined. The nucleotide sequences revealed extensive similarity to other $\sigma$ factor genes of S. coelicolor (hrdA, hrdB, hrdC, hrdD), S. aureofaciens (hrdA, hrdB, hrdC, hrdD), Synechococcus species, Pseudomonas aeruginosa, Stigmatella aurantiaca, and Anabaena species. The nucleotide sequences in regions 1.2 and 4 were compared with the corresponding regions of 5 known ${\sigma}$ factor genes of S. coelicolor by multiple alignment. It turned out that the cloned gene is most closely related to hrdA showing 88% amino acid similarity in region 1.2 and 75% in region 4.