• 대한수학회지
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• 제52권5호
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• pp.945-954
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• 2015

Let ${\lambda}_f(n)$ denote the n-th normalized Fourier coefficient of a primitive holomorphic form f for the full modular group ${\Gamma}=SL_2({\mathbb{Z}})$. In this paper, we are concerned with ${\Omega}$-result on the summatory function ${\sum}_{n{\leqslant}x}{\lambda}^2_f(n^2)$, and establish the following result ${\sum}_{\leqslant}{\lambda}^2_f(n^2)=c_1x+{\Omega}(x^{\frac{4}{9}})$, where $c_1$ is a suitable constant.

• 대한수학회보
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• 제51권1호
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• pp.237-252
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• 2014

In this paper, we give a necessary and sufficient condition for the hyponormality of the block Toeplitz operators $T_{\Phi}$, where ${\Phi}$ = $F+G^*$, F(z), G(z) are some matrix valued polynomials on the vector valued Bergman space $L^2_a(\mathbb{D},\mathbb{C}^n)$. We also show some necessary conditions for the hyponormality of $T_{F+G^*}$ with $F+G^*{\in}h^{\infty}{\otimes}M_{n{\times}n}$ on $L^2_a(\mathbb{D},\mathbb{C}^n)$.

• Bulletin of the Korean Chemical Society
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• 제8권4호
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• pp.318-324
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• 1987

Experimental results for viscous flow of poly (${\gamma}$ -methyl L-glutamate) solutions have been published elsewhere. The data of $[{\eta}]^f / [{\eta}]^0$ are expressed by the following equation, $\frac{[{\eta}^f]}{[{\eta}^{\circ}]}=1-\frac{A}{\eta^\circ}{1-\frac{sin^{-1}[{\beta}_2(f/{\eta}_0)\;{e}xp\;(-c_2f^2/{\eta}_0^2kT)]}{{\beta}_2f/{\eta}_0}$ (A1) where $[{\eta}]^f\; and\; [{\eta} ]^0$ are the intrinsic viscosity at shear stress f and zero, respectively, $ A{\equiv}lim\limits_{C{\rightarrow}0}[(1/C)(X_2/{\alpha}_2)({\beta}_2/{\eta}_0)],{\eta}_0$ viscosity of the solvent, ${\beta}_2$ is the relaxation time of flow unit 2, $c_2$ is a constant related to the elasticity of flow unit 2. The theoretical derivation of Eq.(A1) is given in the text. The experimental curves of $[{\eta}]^f / [{\eta}]^0$ vs. log f are compared with the theoretical curves calculated from Eq.(A1) with good results. Eq.(A1) is also applied to non-biopolymeric solutions, and it was found that in the latter case $c_2 = 0.$ The reason for this is explained in the text. The problems related to non-Newtonian flows are discussed.

• 방사선산업학회지
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• 제2권3호
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• pp.121-128
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• 2008

Flavanone-3-hydroxylase (F3H) is one of the key enzymes for the biosynthesis of flavonals, anthocyanins, catechins and proanthocyanins. F3H catalyzes the $3{\beta}$-hydroxylation of (2S)-flavonones to form (2R, 3R)-dihydroflavonols. In this report, we isolated a full-length cDNA of RocF3H from black raspberry (Rubus occidentalis L.) using a reverse transcriptase-PCR and rapid amplification of the cDNA ends (RACE)-PCR. The full-length cDNA of RocF3H contains a 1,098 bp open reading frame (ORF) encoding a 365 amino acid protein with a calculated molecular weight of about 41.1 kDa and isoelectric point (pI) of 5.45. The genomic DNA analysis revealed that the RocF3H gene had three exons and two introns. Comparison of the deduced amino acid sequence of the RocF3H with other F3Hs revealed that the protein is highly homologous with various plant species. The conserved amino acids ligating the ferrous iron and the residues participating in the 2-oxoglutarate binding (R-X-S) were found in RocF3H at the similar positions to other F3Hs. Southern blot analysis indicated that RocF3H exist a multi-gene family. The isolation of RocF3H gene will be helpful to further study the role of F3H gene in the biosynthesis of flavonoids in R. occidnetalis.

• 대한수학회보
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• 제26권2호
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• pp.119-126
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• 1989

Throughout this paper, X will always denote a Banach space over the complex numbers C, and L(X) will denote the Banach algebra of all continuous linear operators on X. Operator will always mean continuous linear operator. An n-tuple of operators T$_{1}$,..,T$_{n}$ on X will be denoted by over ^ T=(T$_{1}$,..,T$_{n}$ ). Let L$^{n}$ (X) be the set of all n-tuples of operators on X. X' will denote the dual space of X, S(X) its unit sphere and .PI.(X) the subset of X*X' defined by .PI.(X)={(x,f).mem.X*X': ∥x∥=∥f∥=f(x)=1}.

• Journal of applied mathematics & informatics
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• 제28권1_2호
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• pp.499-507
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• 2010

In this note, we study the local spectral properties of semi-shifts. If $T\;{\in}\;L(X)$ is a semi-shift on a complex Banach space X, then T is admissible. We also prove that if $T\;{\in}\;L(X)$ is subadmissible, then $X_T(F)\;=\;E_T(F)$ for all closed $F\;{\subseteq}\;\mathbb{C}$. In particular, every subscalar operator on a Banach space is admissible.

• 한국염색가공학회지
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• 제20권2호
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• pp.9-18
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• 2008

Wool has excellent properties, such as heat retention, absorbency, and elasticity, but it has a disadvantage in washability because the fabric will felt and shrink greatly. Felting causes the interlocking of the fiber surface scales with one another. Therefore, the studies on wool finishing have been focused on shrink proofing. Precedent researches on wool shrink proofing are mostly on eco-friendly method. using enzyme. The purpose of this study is to examine the effect of L-cysteine, EDTA in papain treatment of wool fabrics. The specific contents of study are as follows. Depending on pH, temperature, treatment time, enzyme concentration and L-cysteine, EDTA concentration, weight loss, tensile strength, whiteness, SEM were examined. Each papain treatment conditions depending on L-cysteine, EDTA were optimized from these properties. Papain had very low activation without activators. The optimum conditions of papain treatment were pH 7.5, temperature $75^{\circ}C$, time 30minutes(L-cysteine), 180minutes(EDTA) and papain concentration 5%(o.w.f.). In the use of papain 5%(o.w.f.), the activators optimum concentration was L-cysteine 2%(o.w.f.), EDTA 7%(o.w.f.)

• 한국연초학회지
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• 제20권1호
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• pp.33-39
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• 1998

Survival, growth and reproduction of the cigarette beetle, Lasiodema sewicome F., were studied on flue-cured (NC82), air-cured (Br.21), aromatic (Izmir) tobacco and artificial diet (wheat feed 95% + yeast 5%). Cigarette beetle adults occurred from first generation in the flue-cured and aromatic tobacco, but no adults emerged in air-cured tobacco after the 2nd generations. The head capsule widths of larvae of the cigarette beetles L sewicome F.1 reared on different diets at 2$0^{\circ}C$, $25^{\circ}C$ and 3$0^{\circ}C$ were measured. The head capsule development was slower at 2$0^{\circ}C$ on the same diets than $25^{\circ}C$ and 3$0^{\circ}C$, and slower in the flue-cured and aromatic tobacco than the artificial diet at 2$0^{\circ}C$ and 2S$^{\circ}C$, At $25^{\circ}C$ the larval head capsule developed more rapidly in the aromatic tobacco than the flue-cured tobacco. However, no larval head development was noticed in the air-cured tobacco. The correlation between population densities of cigarette beetle,1 sewicome F., and sugar content of tobacco leaves was positive, but negative in nicotine contents. The regression between densities and sugar content was Y : 22.79 X + 57.29 (r=0.891**), and between nicotine content was Y : -141.31X + 321.40(r=-0.917**).

• 원예과학기술지
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• 제33권6호
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• pp.829-838
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• 2015

본 연구는 마늘의 초기생장에 미치는 온도의 영향을 살펴보기 위하여 맹아가 출현된 마늘의 인편을 온도를 달리하여 재배하고, 마늘의 생육특성, 광계II 활성과 항산화효소의 발현 양상을 살펴보았다. 마늘의 생육은 $15-25^{\circ}C$ 조건에서 양호하여 지상부의 생장과 엽수가 빠르게 발달하였다. 특히, 지상부와 인경의 건중량과 전체 건중량이 $20^{\circ}C$에서 가장 높았으며, 그보다 높은 온도에서는 지상부, 인경과 뿌리의 건중량이, 그리고 낮은 온도에서는 지상부의 건중량이 크게 감소하였다. $F_v/F_o$와 $F_v/F_m$ 또한 $15-20^{\circ}C$에서 높았으며 그 이상의 온도에서 크게 감소하였다. OKJIP 곡선의 패턴에서도 $15-20^{\circ}C$에서 $F_i$, $F_p$가 다소 증가하고, $25^{\circ}C$ 이상의 온도에서는 점차 감소하였으며, $F_k$와 $W_k$는 $30^{\circ}C$에서 뚜렷하게 증가하였다. 그리고, 항산화효소들 중에 잎의 catalase와 superoxide dismutase, 그리고 뿌리의 peroxidase는 $20-25^{\circ}C$에서 높고 $30^{\circ}C$에서 크게 낮았다. 이러한 결과는 $30^{\circ}C$ 조건이 마늘의 초기생장에 있어 스트레스 요인으로 작용하고 있으며, $20^{\circ}C$ 전후에서 재배하는 것이 바람직함을 나타내 주고 있다. 그리고, $F_v/F_o$, $F_v/F_m$, $F_k$, $ET_o/CS_m$, $PI_{abs}$ 등의 엽록소형광 변수들은 마늘의 전체 건중량과 의미있는 상관을 보여, 마늘 생산성을 사전에 예측하는데 유용한 변수로 활용될 수 있을 것으로 보인다.

• 대한전자공학회논문지SD
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• 제39권1호
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• pp.31-38
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• 2002

0.35㎛-비아(via) 식각공정을 개선하기 위하여 C₂F/sub 6/가스의 식각특성을 분석하였다. 실험한 재료는 TEOS/SOG/TEOS 막을 올린 8인치 웨이퍼이며, 실험의 기법은 직교행열(Orthogonal array matrix) 실험 방식을 활용하였다. 산화막 식각에 이용된 장비는 transformer coupled plasma(TCP) source 방식이며 고밀도 플라즈마(HDP)장비이다. 실험의 결과는, 실험변수의 범위 내에서 C₂F/sub 6/는 0.8㎛/min-1.l㎛/min 범위의 식각속도를 보이며 균일도(Uniformity)는 ±6.9%미만으로 측정되었다. CD 변화(skew)는 식각 전과 후를 비교하여 10% 미만이었고 그 결과 비등방성(anisotropic) 식각의 특성이 우수하였다. C₂F/sub 6/를.20sccm 공급할 때 문제점이 발견되지 않았지만 14sccm을 공급하면 SOG 막의 내벽이 침식당하는 문제점이 있었다. 결과적으로 C₂F/sub 6/는 HDP TCP에서 빠른 식각비와 넓은 공정창(process window)을 가진 식각특성을 나타내었다.