• Kyungpook Mathematical Journal
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• 제62권2호
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• pp.243-256
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• 2022

In 1914, Bohr proved that there is an r₀ ∈ (0, 1) such that if a power series ∑^∞_m=0 c_mz^m is convergent in the open unit disc and |∑^∞_m=0 c_mz^m| < 1 then, ∑^∞_m=0 |c_mz^m| < 1 for |z| < r₀. The largest value of such r₀ is called the Bohr radius. In this article, we find Bohr radius for some univalent harmonic mappings having different dilatations. We also compute the Bohr radius for functions that are convex in one direction.

• 대한수학회논문집
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• 제36권3호
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• pp.465-483
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• 2021

Let 𝓗(𝔻) be the space of analytic functions on the unit disc 𝔻. Let 𝜓 = (𝜓_j)ⁿ_j=0 and 𝚽 = (𝚽_j)ⁿ_j=0 be such that 𝜓_j, 𝚽_j ∈ 𝓗(𝔻). The linear differential operator is defined by T_𝜓(f) = ∑ⁿ_j=0 𝜓_jf^(j), f ∈ 𝓗(𝔻). We characterize the boundedness and compactness of the difference operator (T_𝜓 - T_𝚽)(f) = ∑ⁿ_j=0 (𝜓_j - 𝚽_j) f^(j) between weighted-type spaces of analytic functions. As applications, we obtained boundedness and compactness of the difference of multiplication operators between weighted-type and Bloch-type spaces. Also, we give examples of unbounded (non compact) differential operators such that their difference is bounded (compact).

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권3호
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• pp.337-345
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• 2023

Different versions of the boundary Schwarz lemma for the 𝒩 (𝜌) class are discussed in this study. Also, for the function g(z) = z+b₂z²+b₃z³+... defined in the unit disc D such that g ∈ 𝒩 (𝜌), we estimate a modulus of the angular derivative of g(z) function at the boundary point 1 ∈ 𝜕D with g'(1) = 1 + 𝜎 (1 - 𝜌), where ${\rho}={\frac{1}{n}}{\sum\limits_{i=1}^{n}}g(c_i)={\frac{g^{\prime}(c_1)+g^{\prime}(c_2)+{\ldots}+g^{\prime}(c_n)}{n}}{\in}g^{\prime}(D)$ and 𝜌≠1, 𝜎 > 1 and c₁, c₂, ..., c_n ∈ 𝜕D. That is, we shall give an estimate below |g"(1)| according to the first nonzero Taylor coefficient of about two zeros, namely z = 0 and z ≠ 0. Estimating is made by using the arithmetic average of n different derivatives g'(c₁), g'(c₂), ..., g'(c_n).

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제31권2호
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• pp.201-216
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• 2024

The aim of this paper is to study a new and unified class 𝓡^α_Cosh of analytic functions associated with cosine hyperbolic function in the open unit disc E = {z ∈ ℂ : |z| < 1}. Some interesting properties of this class such as initial coefficient bounds, Fekete-Szegö inequality, second Hankel determinant, Zalcman inequality and third Hankel determinant have been established. Furthermore, these results have also been studied for two-fold and three-fold symmetric functions.

• Restorative Dentistry and Endodontics
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• 제38권1호
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• pp.36-42
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• 2013

Objectives: This study evaluated the antibacterial effect and mechanical properties of composite resins ($L_{CR}$, $M_{CR}$, $H_{CR}$) incorporating chitosan with three different molecular weights (L, Low; M, Medium; H, High). Materials and Methods: Streptococcus (S). mutans 100 mL and each chitosan powder were inoculated in sterilized 10 mL Brain-Heart Infusion (BHI) solution, and was centrifuged for 12 hr. Absorbance of the supernatent was measured at $OD_{660}$ to estimate the antibacterial activities of chitosan. After S. mutans was inoculated in the disc shaped chitosan-containing composite resins, the disc was cleansed with BHI and diluted with serial dilution method. S. mutans was spread on Mitis-salivarius bacitracin agar. After then, colony forming unit (CFU) was measured to verify the inhibitory effect on S. mutans biofilm. To ascertain the effect on the mechanical properties of composite resin, 3-point bending and Vickers hardness tests were done after 1 and 3 wk water storage, respectively. Using 2-way analysis of variance (ANOVA) and Scheffe test, statistical analysis was done with 95% significance level. Results: All chitosan powder showed inhibition effect against S. mutans. CFU number in chitosan-containing composite resins was smaller than that of control resin without chitosan. The chitosan containing composite resins did not show any significant difference in flexural strength and Vickers hardness in comparison with the control resin. However, the composite resin, $M_{CR}$ showed a slightly decreased flexural strength and the maximum load than those of control and the other composite resins $H_{CR}$ and $L_{CR}$. Conclusions: $L_{CR}$ and $H_{CR}$ would be recommended as a feasible antibacterial restorative due to its antibacterial nature and mechanical properties.

• 전자공학회논문지C
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• 제36C권3호
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• pp.8-16
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• 1999

본 논문에서는 변형된 유클리드(Modified Euclid) 알고리즘을 이용한 {{{{ { GF}_{ } }}}}(2\sup 8\)의 Reed-Solomon(RS) 복호기에 대하여 VLSI로 설계하였다. 면적의 관점에서 효율적인 설계를 위하여 레지스터와 유클리드 ALU를 최대로 공유하는 여러 가지의 새로운 구조를 제안하였다. 에러 위치 다양식 (σ(χ))과 에러 평가 다항식 (ω(χ))을 계산하기 위하여 16개의 ALU 대신에 1개의 ALU를 사용하였으며, 이들 다항식의 계수를 저장하기 위한 레지스터를 24개 대신에 18개를 사용하였다. VHDL을 이용하여 시뮬레이션을 행하고 FLEX\sup TM\ FPGAF를 이용하여 구현을 행함으로써 제안한 구조에 대한 정확성을 검증하였으며 DVD(Digital Versatile Disc)시스템을 위하여(208,192,17) RS 부호와 (182,172,11) RS 부호에 대한 복호 기능을 갖는 RS 복호기를 0.6㎛의 CMOS TLM Compass\sup TM 라이브러리를 사용하여 게이트 숫자가 약 17,000 이고, 코어 면적이 2.299×2.284(5.25㎟)인 VLSI로 설계함으로써 효용성을 검증하였다. 한편, 설계한 칩은20MHz로 동작함을 확인하여 DVD의 요구조건인 3.74MHz를 만족함을 확인하였다.

• 디지털콘텐츠학회 논문지
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• 제14권1호
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• pp.15-23
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• 2013

저전력과 새로운 응용의 대용량 데이터 처리 요구에 따라 저장장치로 하드디스크 대신 빠른 입출력 성능을 가진 SSD(Solid State Disk/Drive)를 활용한 저장 시스템이 등장하고 있으며 다양한 처리 데이터단위와 out-place-update, 제한된 지우기 횟수 등의 SSD 고유의 문제점을 극복하는 방안에 대한 연구가 활발하다. 그러나 빈번한 임의 쓰기를 발생하는 소규모 특정 데이터를 하드디스크나 SSD에 저장하는 경우 성능 및 안정성 저하 문제는 아직 완전히 해결하지 못하고 있다. 본 논문에서는 NVRAM의 바이트 단위의 빠른 읽기/쓰기와 비휘발성 그리고 인덱스 페이지 내 실제 데이터 변경 크기가 블록 크기보다 작다는 특성을 활용하여 빈번한 임의 쓰기를 요구하는 인덱스를 바이트 접근이 가능한 NVRAM에 저장하는 시스템의 구조를 제안한다.

• 한국식품영양과학회지
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• 제14권4호
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• pp.381-386
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• 1985

본 연구는 두부제조시 수침시간을 연장시킴에 따라 두부수율이 증가하는 원인을 규명하기 위하여 전자현미경(TEM)을 이용하여 대두 조직의 미세구조와 초원심침강법에 의한 두유, 두부단백질 fraction의 특성 및 이행을 조사한 것으로 그 결과는 다음과 같다. 1. 대두의 수침시간을 5, 10, 24시간으로 연장시킴에 따라 두부수율은 각각 45.93%, 50%, 55.4%로 증가하였고, 고형분추출율, 응고율 역시 증가하였다. 2. 두유, 두부의 disc-gel전기영동에서 수침시간을 연장시킴에 따라 band수는 증가했고, 주(主)band의 두께는 더 굵었다. 그리고 두유의 고분자의 band가 두부로 많이 이행 하였다. 3. 두유, 두부의 crude 7S protein과 crude 11S protein은 전기영동에서 두유의 7S는 5개, 11S는 9개의 band가 나타났고, 두부의 7S는 4개, 11S는 8개의 band가 나타났는데 두유의 band중 주로 11S 성분들이 두부로 많이 이행 하였다. 4. 대두조직의 미세구조에 관한 연구에서 수침시간이 증가함에 따라 protein body는 그 크기가 상당히 팽창했고 protein body사이에 산재해 있던 spherosomes의 수는 상대적으로 감소했다.

• 한국컴퓨터정보학회논문지
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• 제21권5호
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• pp.135-139
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• 2016

Scrophularia ningpoensis hemsl has been traditionally used in China and Vietnam for treatment of bacteria, atopy, pimple, tonsillitis, angina and encephalitis for a long time. The main objectives of this study were to evaluate the antibacterial activity of the Scrophularia ningpoensis hemsl extract on biofilm formation of Klebsiella pneumoniae. Antibacterial activity was conducted using disc diffusion assay and minimum inhibitory concentration (MIC), and minimum bactericidal concentration (MBC) were determined using the broth micro dilution method in accordance to Clinical and Laboratory Standards Institute guidelines(CLSI). Furthermore, cytotoxicity on L929 were assessed using animal cell culture for the proliferation test(MTT cell assay) and the biofilm forming capacity of the K. pneumoniae were determined using the colony forming unit (CFU) assay. The extract exhibited considerable antibacterial activity. K. pneumoniae was susceptible to the extract with the MIC and MBC of 0.1875 and $1.5mg/m{\ell}$ respectively. Cytoxicity test in L929 showed no sign of toxicity at the concentration of $0.75mg/m{\ell}$ and at the same concentration the extract caused inhibition of bacterial biofilm formation. The extract of Scrophularia ningpoensis hemsl possesses an in vitro antibacterial antibiofilm activities against K. pneumoniae, with no sign of cytoxicity on L929.

• 호남수학학술지
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• 제16권1호
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• pp.119-135
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• 1994

Let $Q_{n+p-1}(\alpha)$ denote the- dass of functions $$f(z)=z^{P}-\sum_{n=0}^\infty{a_{(p+k)}z^{p+k}$$ ($a_{p+k}{\geq}0$, $p{\in}N=\left{1,2,{\cdots}\right}$) which are analytic and p-valent in the unit disc $U=\left{z:{\mid}z:{\mid}<1\right}$ and satisfying $Re\left{\frac{D^{n+p-1}f(\approx))^{\prime}}{pz^{p-a}\right}>{\alpha},0{\leq}{\alpha}<1,n>-p,z{\in}U.$ In this paper we obtain sharp results concerning coefficient estimates, distortion theorem, closure theorems and radii of p-valent close-to- convexity, starlikeness and convexity for the class $Q_{n+p-1}$ ($\alpha$). We also obtain class preserving integral operators of the form $F(z)=\frac{c+p}{z^{c}}\int_{o}^{z}t^{c-1}f(t)dt.$ c>-p $F\left(z\right)=\frac{c+p}{z^{c}}\int_{0}^{z} t^{c-1}f\left(t \right)dt. \qquad c>-p$ for the class $Q_{n+p-1}$ ($\alpha$). Conversely when $F(z){\in}Q_{n+p-1}(\alpha)$, radius of p-valence of f(z) has been determined.