• Bulletin of the Korean Chemical Society
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• v.18 no.8
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• pp.896-898
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• 1997

• Bulletin of the Korean Chemical Society
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• v.17 no.10
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• pp.946-948
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• 1996

• Bulletin of the Korean Chemical Society
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• v.17 no.10
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• pp.944-945
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• 1996

• Bulletin of the Korean Chemical Society
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• v.19 no.3
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• pp.386-390
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• 1998

• Bulletin of the Korean Chemical Society
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• v.22 no.5
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• pp.451-452
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• 2001

• Bulletin of the Korean Chemical Society
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• v.20 no.12
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• pp.1517-1520
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• 1999

• Bulletin of the Korean Mathematical Society
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• v.37 no.4
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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.

• Korean Journal of Fisheries and Aquatic Sciences
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• v.41 no.4
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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.

• Journal of the Korean Chemical Society
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• v.39 no.7
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• pp.572-577
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• 1995

The reaction rates of aryl substituted(Z)-benzoates with amines were determined by a spectro-photometric method in acetonitrile at various temperatures. Hammett $\rho$, Bronsted ${\beta}$ values, and activation parameters were evaluated from the kinetic data. Linear free energy relationships, activation parameters, and the interpretation of M-O-F-J diagram suggested that these reactions were probably enforced an $S_AN$ mechanism.

• Bulletin of the Korean Mathematical Society
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• v.50 no.1
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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.