• Bulletin of the Korean Chemical Society
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• 제18권8호
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• pp.896-898
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• 1997

• Bulletin of the Korean Chemical Society
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• 제17권10호
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• pp.946-948
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• 1996

• Bulletin of the Korean Chemical Society
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• 제17권10호
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• pp.944-945
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• 1996

• Bulletin of the Korean Chemical Society
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• 제19권3호
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• pp.386-390
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• 1998

• Bulletin of the Korean Chemical Society
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• 제22권5호
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• pp.451-452
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• 2001

• Bulletin of the Korean Chemical Society
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• 제20권12호
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• pp.1517-1520
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• 1999

• 대한수학회보
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• 제37권4호
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• pp.729-741
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• 2000

In this paper, we study in Banach spaces the existence of fixed points of asymptotically regular mapping T satisfying: for each x, y in the domain and for n=1, 2,…, $$\parallelT^nx-T^ny\parallel\leq$\leq$a_n\parallelx-y\parallel+b_n (\parallelx-T^nx\parallel+\parallely-T^ny\parallely)$$ where $a_n,\; b_n,\; C_n$ are nonnegative constants satisfying certain conditions. We also establish some fixed point theorems for these mappings in a Hibert space, in L(sup)p spaces, in Hardy space H(sup)p, and in Soboleve space $H^{k,p} for 1<\rho<\infty \; and \; k\geq0$. We extend results from papers [10], [11], and others.

• 한국수산과학회지
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• 제41권4호
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• pp.301-304
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• 2008

For bioremediation of the benthic layer uptake kinetics of phosphate by microphytobenthos Nitzschia sp.(JFH200406) were investigated. A short-term phosphate uptake revealed that the maximum uptake rate(${\rho}_{max}$) and half-saturation constant($K_s$) were 0.132 pmol/cell/hr and 502.6 ${\mu}M$, respectively. The maximum specific uptake rate calculated between ${\rho}_{max}$ and the phosphorus cell quota($Q_p$), calculated from Strathmann equation, was 14.4/day. The values of these parameters indicate that Nitzschia sp. accommodates well to surroundings of high phosphate, and can uptake over 14-times more than the phosphorus cell quota. Thus, microphytobenthos Nitzschia sp. may be a useful species for bioremediation of the benthic layer.

• 대한화학회지
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• 제39권7호
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• pp.572-577
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• 1995

아세토니트릴 용매계에서 aryl 치환(Z)-benzoate류와 아민류의 반응속도를 15, 25, 및 35 $^{\circ}C$에서 분광학적 방법으로 구했다. 2차 반응속도 상수로부터 Hammett $\rho$값, Bronsted ${\beta}$값, 및 활성화 parameter를 구했으며 이들값과 M-O-F-J diagram 등의 해석으로부터 본 반응은 $S_AN$ 메카니즘으로 진행됨을 알 수 있었다.

• 대한수학회보
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• 제50권1호
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• pp.83-96
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• 2013

Let K be a number field and fix a prime number $p$. For any set S of primes of K, we here say that an elliptic curve E over K has S-reduction if E has bad reduction only at the primes of S. There exists the set $B_{K,p}$ of primes of K satisfying that any elliptic curve over K with $B_{K,p}$-reduction has no $p$-torsion points under certain conditions. The first aim of this paper is to construct elliptic curves over K with $B_{K,p}$-reduction and a $p$-torsion point. The action of the absolute Galois group on the $p$-torsion subgroup of E gives its associated Galois representation $\bar{\rho}_{E,p}$ modulo $p$. We also study the irreducibility and surjectivity of $\bar{\rho}_{E,p}$ for semistable elliptic curves with $B_{K,p}$-reduction.