• 한국재료학회지
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• 제11권8호
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• pp.679-684
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• 2001

천연흑연은 단위구조가 탄소육각망평면이 평행하게 배열된 층상으로 전기전도도 및 윤활성이 우수하나 소수성이 매우 강하며, 표면화학적 목성이 거의 없기 때문에 다른 물질과 흡착이 쉽게 일어나지 않아 분산이 매우 어려운 물질이다. 따라서 본 연구에서는 제타전위를 이용하여 흑연에 ABDM을 흡착시켜 표면특성을 소수성에서 친수성으로 변화시키고 수중현탁액 중에서 흑연입자의 분산 메커니즘을 DLVO이론을 이용하여 설명하였다. 흑연의 제타전위가 22.5mV가 되도록 ABDM의 흡착량 (20mg/g) 및 조건 (PH 10에서 12시간 흡착)을 만족시키면 분산안정성 (T$_{1/2}$) 이 44.5시간인 고분산성 흑연 현탁액을 제조할 수 있다.

• 대한수학회보
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• 제45권2호
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• pp.277-283
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• 2008

The paper deals with the values at the negative integers of a certain Dirichlet series related to the Riemann zeta function and with the expression of these values in terms of Bernoulli numbers.

• 대한수학회지
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• 제32권2호
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• pp.321-328
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• 1995

Ibragimov(1975) showed the central limit theorem and the invariance principle for $\rho$-mixing random variables satisfying $\sigma^2(n) = nh(n) \longrightarrow \infty$ and $E$\mid$\zeta_0$\mid$^{2+\delta} < \infty$ for some $\delta > 0$ where $\sigma^2(n)$ denotes the variance of the partial sum $S_n$ and h(n) is a slowly varying function.

• 대한수학회논문집
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• 제9권4호
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• pp.853-855
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• 1994

The object of present note is to give a very short proof of Stirling's formula which uses only a formula for the generalized zeta function. There are several proofs for this formula. For example, Dr. E. J. Routh gave an elementary proof using Wallis' theorem in lectures at Cambridge ([5, pp.66-68]). We can find another proof which used the Maclaurin summation formula ([5, pp.116-120]). In [1], they used the Central Limit Theorem or the inversion theorem for characteristic functions. In [2], pp. Diaconis and D. Freeman provided another proof similarly as in [1]. J. M. Patin [7] used the Lebesgue dominated convergence theorem.

• 대한수학회논문집
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• 제18권4호
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• pp.781-789
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• 2003

Formal manipulations of double series are useful in getting some other identities from given ones and evaluating certain summations, involving double series. The main object of this note is to summarize rather useful double series manipulations scattered in the literature and give their generalized formulas, for convenience and easier reference in their future use. An application of such manipulations to an evaluation for Euler sums (in itself, interesting), among other things, will also be presented to show usefulness of such manipulative techniques.

• 대한수학회지
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• 제56권2호
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• pp.475-484
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• 2019

We study the set of critical exponents of discrete groups acting on regular trees. We prove that for every real number ${\delta}$ between 0 and ${\frac{1}{2}}\;{\log}\;q$, there is a discrete subgroup ${\Gamma}$ acting without inversion on a (q+1)-regular tree whose critical exponent is equal to ${\delta}$. Explicit construction of edge-indexed graphs corresponding to a quotient graph of groups are given.

• Journal of applied mathematics & informatics
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• 제37권3_4호
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• pp.317-328
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• 2019

This paper defines Carlitz's type (p, q)-Genocchi polynomials and Carlitz's type (h, p, q)-Genocchi polynomials, and explains fourteen properties which can be complemented by Carlitz's type (p, q)-Genocchi polynomials and Carlitz's type (h, p, q)-Genocchi polynomials, including distribution relation, symmetric property, and property of complement. Also, it explores alternating powers sums by proving symmetric property related to Carlitz's type (p, q)-Genocchi polynomials.

• 한국신재생에너지학회:학술대회논문집
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• 한국신재생에너지학회 2007년도 춘계학술대회
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• pp.200-203
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• 2007

Parametric investigation of the polyol process for the preparation of carbon supported Pt nano particles as catalysts for fuel cells was carried out. It was found that the concentration of glycolate anion, which is a function of pH, plays an important role in controlling Pt particle size and loading on carbon. It was observed that Pt loading decreased with increasing alkalinity of the solution. As evidenced by zeta potential measurement, this was mainly due to poor adsorption or repulsive forces between the metal colloids and the supports. In order to modify the conventional polyol process, the effect of the gas purging conditions on the characteristics of Pt/C was examined. By the optimization of the gas environment during the reaction, it was possible to obtain high loading of 39.5wt% with a 2.8 nm size of Pt particle. From the single cell test, it was found that operating in ambient $O_{2}$ at 70oC can deliver high performance of more than 0.6 V at 1.44 A $cm^{-2}$.

• Environmental Analysis Health and Toxicology
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• 제28권
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• pp.6.1-6.7
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• 2013

Objectives In this study, we investigated the influence of ionic strength and natural organic matter (NOM) on aggregation and soil adsorption of citrate-coated silver nanoparticles (AgNPs). Methods Time-resolved dynamic light scattering measurements and batch adsorption experiments were used to study their aggregation and soil adsorption behaviors, respectively. Results The aggregation rate of AgNPs increased with increasing ionic strength and decreasing NOM concentration. At higher ionic strength, the AgNPs were unstable, and thus tended to be adsorbed to the soil, while increased NOM concentration hindered soil adsorption. To understand the varying behaviors of AgNPs depending on the environmental factors, particle zeta potentials were also measured as a function of ionic strength and NOM concentration. The magnitude of particle zeta potential became more negative with decreasing ionic strength and increasing NOM concentration. These results imply that the aggregation and soil adsorption behavior of AgNPs were mainly controlled by electrical double-layer repulsion consistent with the Derjaguin-Landau-Verwey-Overbeek theory. Conclusions This study found that the aggregation and soil adsorption behavior of AgNPs are closely associated with environmental factors such as ionic strength and NOM and suggested that assessing the environmental fate and transport of nanoparticles requires a thorough understanding of particle-particle interaction mechanisms.

• 한국정보통신학회논문지
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• 제7권3호
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• pp.395-402
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• 2003

CDMA 셀룰라 시스템의 용량은 간섭의 양에 따라 좌우되는 특성을 갖고 있으므로 이 간섭량을 정확히 계산해야 시스템 성능 평가를 정확히 할 수 있다. 본 논문은 CDMA 셀룰라 시스템의 역방향 타셀 간섭량을 계산하기 위한 근사식을 제시하였다. 이 근사식은 Riemann-Zeta 함수를 이용하여 임의의 전파 감쇄 지수에도 적용할 수 있는 특징이 있다. 그 효용을 살펴보기 위해 계산 결과와 시뮬레이션 결과와 비교하였다. 제안된 근사식을 이용해 계산한 시스템 용량은 시뮬레이션을 통해 얻은 용량과 근사한 결과를 얻을 수 있었다. 제안된 타셀 간섭 근사식은 복합적인 전파 환경이 고려되어야 할 계층셀 시스템에서의 간섭 및 용량 계산과 알고리즘 검증에 유용하게 사용될 수 있을 것으로 생각된다.