• The Pure and Applied Mathematics
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• v.16 no.3
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• pp.255-258
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• 2009

It is well known that for a sequence a = ($a_0,\;a_1$,...) the general term of the dual sequence of a is $a_n\;=\;c_0\;^n_0\;+\;c_1\;^n_1\;+\;...\;+\;c_n\;^n_n$, where c = ($c_0,...c_n$ is the dual sequence of a. In this paper, we find the general term of the sequence ($c_0,\;c_1$,... ) and give another method for finding the inverse matrix of the Pascal matrix. And we find a simple proof of the fact that if the general term of a sequence a = ($a_0,\;a_1$,... ) is a polynomial of degree p in n, then ${\Delta}^{p+1}a\;=\;0$.

• Journal of the Korean Chemical Society
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• v.37 no.6
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• pp.618-625
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• 1993

Rate constants of hydrolysis of N-(benzoyl)-C-(N-methylanilino)imidoylchlorides were determined by UV spectrophotometry in 50% (v/v) aqueous methanol at 25$^{\circ}C$. On the basis of rate equation, substituent effect, solvent effect, salt effect, thermodynamic parameters and hydrolysis product analysis, it may be concluded that the hydrolysis of N-(benzoyl)-C-(N-methylanilino)imidoylchlorides proceed through $S_N$1 mechanism via azocarbonium ion intermediate in the range of from pH 3.0 to pH 10.0, while above pH 10.0 and below pH 3.0 the hydrolysis proceeds through nucleophilic addition-elimination (A$d_{N-E}$) mechanism.

• Membrane Journal
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• v.21 no.4
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• pp.336-344
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• 2011

Organophilic ZSM-5 membrane was synthesized on the inside of a porous stainless steel support by a hydrothermal secondary growth with seed crystals. They are used to separate n-butanol from its aqueous solution. Pervaporation characteristics such as a permeation flux and a separation factor are investigated as a function of the feed concentration and the operating temperature. The concentration of n-butanol was changed from 0.001 mole fraction to 0.015 mole fraction with an interval of 0.005 mole fraction; the operating temperature was controlled to be 25C, $35^{\circ}C$ and $45^{\circ}C$. When the operating temperature was $45^{\circ}C$, the flux of n-butanol significantly increased from 2 to $27g/m^2/hr$ as the mole fraction of n-butanol in the feed side increased from 0.001 to 0.015. Consequently, the concentration of n-butanol in the permeate substantially increased from 0.0016 to 0.052 mole fraction. When the feed concentration was 0.015, the flux of n-butanol significantly increased from 13 to $27g/m^2/hr$ as the operating temperature increased from $25^{\circ}C$ to $45^{\circ}C$. As a result, the concentration of n-butanol in the permeate also increased from 0.045 to 0.052 mole fraction.

• Current Research on Agriculture and Life Sciences
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• v.4
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• pp.87-94
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• 1986

This study was performed in order to contemplate their correlations between physical and mechanical properties of the marine clays which were collected from main harbors in Korea. The results obtained are as follows: 1. Most of the soils in experimental districts consist of CH. CL. and ML. and they are considered to be still proceeding. 2. The equations of the relationship between compression index and liquid limit are as, follows: CH : $C_c=0.0137$ (LL-22.60) CL : $C_c=0.0123$ (LL-14.64) 3. The relationship between compression index and initial void ratio appears that the higher the plasticity, the easier the slope of the regression line. The equations are as follows : CH : $C_c=0.431$ ($e_o-0.504$) CH : $C_c=0.471$ ($e_o-0.235$) ML : $C_c=0.641$ ($e_o-0.393$) 4. The equations of the relationship between compression index and natural water content are as follows: CH : $C_c=0.0133$ ($W_n-28.27$) CL : $C_c=0.0225$ ($W_n-23.56$) ML : $C_c=0.0106$ ($W_n-16.42$) 5. The relationship between initial void ratio and natural water content, and compression index is highly positive correlation and the equations are as follows : CH : $C_c=0.301$ ($e_o+0.017W_n-1.05$) CL : $C_c=0.141$ ($e_o+0.0567W_n-1.054$) ML : $C_c=0.421$ ($e_o+0.0214W_n-1.121$) 6. The equations of the relationship between initial void ratio and liquid limit, and compression index are as follows : CH : $C_c=0.36$ ($e_o+0.08LL-0.819$) CL : $C_c=0.269$ ($e_o+0.026LL-0.929$) 7. The cohesion of marine clays is no concerned with the increment of depth. The equations of relationship between cohesion and unconfined compression strength are as follows. CH : qu=1.896C+0.0107 CL : qu=1.849C+0.04.

• Journal of Environmental Health Sciences
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• v.32 no.6
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• pp.578-584
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• 2006

This research was conducted to estimate the effect of C/N ratio control on composting of TNT (2,4,6 trinitrotoluene)-contaminated soil. Glucose or acetone was selected to control C/N ratio of the contaminated soil. The C/N ratios of the controlled experiment and no controlled one were 26.0 and 6.6, respectively. During 45days, the degradation efficiency (96.0 or 91.8%) of acetone or glucose C/N ratio controlled soil was higher than that (78.4%) of no C/N ratio controlled case. The first order degradation rate constant of glucose or acetone C/N ratio control was 0.0641 or 0.0820/day. This constant was over twice 0.0356/day of no C/N ratio control. The C/N ratio control with glucose or acetone also showed a rather high $CO_2$ evolution than that without C/N ratio control. It was proven that C/N ratio control for composting of TNT-contaminated soil improved the treatment efficiency.

• Proceedings of the Korean Society for Food Science of Animal Resources Conference
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• 2006.05a
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• pp.107-111
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• 2006

본 연구는 돼지 품종에 따른 지방 함량, 지방산 조성 및 전자코에 의한 향기 패턴의 차이를 분석하고자 실시하였으며, 평균 생시체중이 111 kg인 멧돼지 5두, 64 kg인 재래흑돼지 5두 및 114 kg인 개량종 돼지($Landrace{\times}Yorkshire$) 5두의 등심(M. longissimus) 부위를 본 실험에 이용하였다. 근내 지방함량은 재래흑돼지가 멧돼지, 개량종 돼지보다 유의적으로 높았다(p<0.05). 지방산 조성에서 C14:0, C18:3n3, MUFA/SFA 비율은 재래흑돼지가 가장 유의적으로 높았으며(p<0.05), C18:1n9는 개량종 돼지가 멧돼지보다 높았다(p<0.05). C16:1n7, C18:1n7, UFA/SFA 비율은 멧돼지가 가장 높았으며(p<0.05), C18:0, C20:1n9는 멧돼지가 가장 낮았다(p<0.05). C20:4 n6은 멧돼지가 개량종 돼지보다 높았고(p<0.05), C22:4n6은 재래흑돼지가 가장 높았으며(p<0.05), C22:5n3은 멧돼지가 재래흑돼지보다 높았다(p<0.05). PUFA n6/n3 비율은 개량종 돼지가 가장 낮았으며(p<0.05), 멧돼지가 재래흑돼지보다 낮았다(p<0.05). 전자코의 PCA에 의한 향기패턴은 신선육에서 품종에 따른 차이가 명확히 나타났으며, 가열육에서는 멧돼지 및 재래흑돼지, 개량종 돼지간에 차이가 나타났다. 따라서 재래흑돼지가 가장 높은 근내 지방 함량 및 가장 낮은 MUFA/SFA 비율을 가졌고, 멧돼지가 가장 높은 UFA/SFA 비율을 가졌으며, 개량종 돼지가 가장 낮은 PUFA n6/n3 비율을 가졌다. 또한 전자코에 의해 돼지 품종에 따른 돈육의 향기 패턴 차이를 효과적으로 분별할 수 있었다.

• Journal of the Korean Mathematical Society
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• v.32 no.3
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• pp.471-482
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• 1995

A complex n-dimensional Kaehlerian manifold of constant holomorphic sectional curvature c is called a comples space form, which is denoted by $M_n(c)$. A complete and simply connected complex space form consists of a complex projective space $P_nC$, a complex Euclidean space $C^n$ or a complex hyperbolic space $H_nC$, according as c > 0, c = 0 or c < 0. The induced almost contact metric structure of a real hypersurface M of $M_n(c)$ is denoted by $(\phi, \zeta, \eta, g)$.

• Food Science of Animal Resources
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• v.27 no.4
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• pp.475-481
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• 2007

A total of 40 Korean native pigs (gilt 21, boar 19) were used to investigate the meat quality, nutritional and sensory properties by gender. Gilts had significantly lower moisture and ash contents (%) than boars, but protein contents were not significantly different between the gender (p<0.05). Gilts contained high intramuscular fat contents were significantly lower in Warner-Bratzler shear force (WBS) and Water holding capacity (WHC) when compared to those of boars. There was no significant difference in meat color L (lightness) and a (redness) values between the gender (p>0.05), but gilt had higher b (yellowiness) values than boar. Regarding amino acid compositions, there were glutamic acid (3.25%), aspartic acid (1.94%) lysine (1.83%), leucine (1.77%), alanine (1.17%) and arginine (1.15%) for gilts and boars. There were no significant differences in the contents of the minerals such as calcium, potassium, phosphorous, sodium, magnesium, iron, zinc and copper (p>0.05). The results of fatty acid composition showed that gilts had significantly higher C16:1n7, C18:1n9, in intramuscular fat., whereas they had significantly higher contents of C14:0, C16:0, C20:1n9, C20:5n3 in subcutaneous fat than boars (p<0.05). Boars had significantly higher contents of C18:0, C18:1n7, C18:2n6, C20:1n9, C20:4n6, C22:4n6 in intramuscular fat and they had significantly higher contents of C18:2n6, C22:4n6 than gilts in subcutaneous fat (p<0.05). In sensory evaluation, gilts had significantly higher scores in juiciness, tenderness and flavor when compared to boars (p<0.05).

• Proceedings of the Korean Powder Metallurgy Institute Conference
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• 2006.09a
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• pp.107-108
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• 2006

The effect of WC or NbC addition on various properties of Ti(C0.7N0.3)-Ni cermets was investigated. The microstructure oj Ti(C0.7N0.3)-xWC-20Ni showed a typical core/rim structure, irrespective of the WC content, whereas the structure oj Ti(C0.7N0.3)-xNbC-20Ni was different and was dependent on the NbC content. The hardness (HV) and the fracture toughness (KIC) had a tendency to increase marginally, while the coercive force (HC) and the magnetic saturation $(4{\pi}{\sigma})$ decreased gradually with an increase in WC or NbC content in the systems studied. In addition, increasing WC content in Ti(C0.7N0.3)-xWC-20Ni system, decarburization was retarded, while denitrification was accelerated

• Bulletin of the Korean Mathematical Society
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• v.58 no.4
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• pp.915-937
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• 2021

In this paper we deal with the open problem posed by Lü, Li and Yang [10]. In fact, we prove the following result: Let f(z) be a transcendental meromorphic function of finite order having finitely many poles, c₁, c₂, …, c_n ∈ ℂ\{0} and k, n ∈ ℕ. Suppose fⁿ(z), f(z+c₁)f(z+c₂) ⋯ f(z+c_n) share 0 CM and fⁿ(z)-Q₁(z), (f(z+c₁)f(z+c₂) ⋯ f(z+c_n))^(k) - Q₂(z) share (0, 1), where Q₁(z) and Q₂(z) are non-zero polynomials. If n ≥ k+1, then $(f(z+c_1)f(z+c_2)\;{\cdots}\;f(z+c_n))^{(k)}\;{\equiv}\;{\frac{Q_2(z)}{Q_1(z)}}f^n(z)$. Furthermore, if Q₁(z) ≡ Q₂(z), then $f(z)=c\;e^{\frac{\lambda}{n}z}$, where c, λ ∈ ℂ \ {0} such that e^{λ(c₁+c₂+⋯+c_n)} = 1 and λ^k = 1. Also we exhibit some examples to show that the conditions of our result are the best possible.