• 한국수학사학회지
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• 제21권4호
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• pp.87-104
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• 2008

본 연구에서는 유명한 피보나치 수열을 일반화하는 g-피보나치 수열 $\{g_n\}$={a, b, a+b, a+2b, 2a+3b, 3a+5b,...}의 여러 가지 성질과 특성을 조사한다. 특히, g-피보나치 수열의 합에 관한 항등식과 제 n항 $g_n$(비네의 공식의 일반화)을 구체적으로 구한다. 또한 피보나치 수열에 관한 카타란의 항등식의 일반화된 항등식과 A. Tagiuri의 항등식을 구하고 $g_n$과 파스칼 삼각형과의 관계식과 g-피보나치 수 $g_n$이 얼마나 빨리 커지는가를 조사한다. 아울러 g-피보나치 수열의 초항과 둘째 항이 서로 소일 때 연속하는 두 항은 서로 소이며, 연속하는 두 항의 비율 $\{\frac{g_{n+1}}{g_n}\}$은 황금비 $\frac{1+\sqrt5}2$ 수렴함을 밝히고자한다.

• Journal of applied mathematics & informatics
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• 제28권1_2호
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• pp.325-331
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• 2010

Let a and b be nonnegative integers with 2 $\leq$ a < b, and let G be a Hamiltonian graph of order n with n > $\frac{(a+b-5)(a+b-3)}{b-2}$. An [a, b]-factor F of G is called a Hamiltonian [a, b]-factor if F contains a Hamiltonian cycle. In this paper, it is proved that G has a Hamiltonian [a, b]-factor if $\delta(G)\;\geq\;\frac{(a-1)n+a+b-3)}{a+b-3}$ and $\delta(G)$ > $\frac{(a-2)n+2{\alpha}(G)-1)}{a+b-4}$.

• 한국식품영양과학회지
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• 제8권1호
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• pp.9-14
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• 1979

The consumption of catchup is increasing due to the raising of income level and food industry and westernization of dietary life followed by economic growth. In this paper I picked up three kinds of food produced by two foreign food companies and three kinds of food by two domestic companies. The average results by experimentation on the nutritive ingredients and the standard quality was as follows; A. Nutritve ingredients; 1) Water content a) Domestic 68.3% b) Foreign 69.1% 2) Protein content a) Domestic 2.2 g b) Foreign 2.1 g 3) Fat content a) Domestic 0.1 g b) Foreign 0.1 g 4) Carbohydrate content a) Domestic 25.1 g b) Foreign 24.6 g 5) Mineral content (Ash) a) Domestic 4.4 g b) Foreign 3.9 g 6) Calcium content a) Domestic 33.5 mg b) Foreign 24.2 mg 7) Phosphorus content a) Domestic 16.1 mg b) Foreign 24.2 mg 8) Vitamin C content a) Domestic 14.6mg b) Foreign 16.0 mg B. Standard quality 1) Remains after evaporation a) Domestic 41.7% b) Foreign 38.4% 2) Free mineral acid content a) Domestic none b) Foreign none 3) Tar chromatophore a) Domestic $trace(Acid)^+$ b) Foreign none 4) Heavy metalic $elements^*$ 5) Sodium chloride content a) Domestic 3.3% b) Foreign 3.3% 6) pH level a) Domestic 3.83 b) Foreign 3.76 + The tar chromatophore elements could not be accurately measured by chromatography. * The heavy metalic elements were both under safety levels in the domestic and foreign products.

• Journal of applied mathematics & informatics
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• 제25권1_2호
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• pp.383-388
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• 2007

A (g, f)-factor F of a graph G is Called a Hamiltonian (g, f)-factor if F contains a Hamiltonian cycle. The binding number of G is defined by $bind(G)\;=\;{min}\;\{\;{\frac{{\mid}N_GX{\mid}}{{\mid}X{\mid}}}\;{\mid}\;{\emptyset}\;{\neq}\;X\;{\subset}\;V(G)},\;{N_G(X)\;{\neq}\;V(G)}\;\}$. Let G be a connected graph, and let a and b be integers such that $4\;{\leq}\;a\;<\;b$. Let g, f be positive integer-valued functions defined on V(G) such that $a\;{\leq}\;g(x)\;<\;f(x)\;{\leq}\;b$ for every $x\;{\in}\;V(G)$. In this paper, it is proved that if $bind(G)\;{\geq}\;{\frac{(a+b-5)(n-1)}{(a-2)n-3(a+b-5)},}\;{\nu}(G)\;{\geq}\;{\frac{(a+b-5)^2}{a-2}}$ and for any nonempty independent subset X of V(G), ${\mid}\;N_{G}(X)\;{\mid}\;{\geq}\;{\frac{(b-3)n+(2a+2b-9){\mid}X{\mid}}{a+b-5}}$, then G has a Hamiltonian (g, f)-factor.

• Journal of applied mathematics & informatics
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• 제28권3_4호
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• pp.909-912
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• 2010

In this note we present a short proof of the following result by Zhou, Liu and Xu. Let G be a graph of order n, and let a and b be two integers with 1 $\leq$ a < b and b $\geq$ 3, and let g and f be two integer-valued functions defined on V(G) such that a $\leq$ g(x) < f(x) $\leq$ b for each $x\;{\in}\;V(G)$ and f(V(G)) - V(G) even. If $n\;{\geq}\;\frac{(a+b-1)^2+1}{a}$ and $\delta(G)\;{\geq}\;\frac{(b-1)n}{a+b-1}$,then G has a connected (g, f)-factor.

• 한국식품저장유통학회지
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• 제20권3호
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• pp.379-385
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• 2013

곰팡이 및 세균을 이용한 콩 코오지의 최적 제조조건을 설정하기 위하여 재래식 메주로부터 분리한 A. oryzae 6-M-1과 B. subtilis 3-B-1을 이용하여 콩 코오지를 제조하였다. 콩 코오지를 7일간 제조하면서 아미노태질소 함량은 A. oryzae 6-M-1로 제조한 코오지의 경우 686.16 mg%(w/w), B. subtilis 3-B-1로 제조한 코오지는 643.46 mg%(w/w)를 생성하고 있었다. ${\alpha}$-Amylase activity는 제국 7일째에 A. oryzae 6-M-1로 제조한 코오지에서는 1472.54 unit/g이었고 B. subtilis 3-B-1로 제조한 코오지에서는 791.00 unit/g이었다. ${\beta}$-Amylase activity는 제국 7일째에 A. oryzae 6-M-1로 제조한 코오지에서는 598.98 unit/g이었고B. subtilis 3-B-1로 제조한 코오지에서는 503.26 unit/g이었다. 산성 protease activity는 제국 7일째에 A. oryzae 6-M-1로 제조한 코오지에서는 309.00 unit/g이었고 B. subtilis 3-B-1로 제조한 코오지에서는 135.88 unit/g이었다. 콩 코오지의 아미노태질소 및 효소 역가는 공장에서 생산되는 밀가루 코오지보다 높았으며 제국 기간은 4일이면 충분하였다. 콩 코오지로 만든 된장과 시판된장의 맛, 향, 색 및 전체적인 기호도에서는 5% 수준에서 유의성이 인정되지 않아 콩 코오지를 이용하여 된장을 제조하는 것이 가능한 것으로 나타났다.

• 한국식품위생안전성학회지
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• 제13권1호
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• pp.41-46
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• 1998

HPLCdp 의한 주요 afltoxins(aflatoxins $B_1,\;B_2,\;G_1\;및\;G_2$)의 동시 분석에서 postcolumn 유도체화법을 시도하였다. Electrochemical cell (Kobra-cell)을 사용한 postcolumn 유도체화법은 기존의 precolumn 유도체화법보다 분석시간을 단축하였으며 (약 1/2 단축), 더 안전하고 , 향상된 분석능을 보였다. Aflatoxin $B_1과\;G_1의$ 경우 10~100ppb에서, 그리고 B_2와\;G_2의$ 경우 3~30 ppb에서 직선성을 나타내었다. Aflatoxin $B_1과\;G_1은$ 각각 88.9% 및 100.5%로 양호한 회수율을 보였다. Aflatoxin $B_2와\;G_2의$ 경우 분리도는 우수하였으나 회수율에있어서 변이가 크게 나타났다.

• 대한수학회지
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• 제39권3호
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• pp.331-349
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• 2002

Let G be a reductive algebraic group and let B, F be G-modules. We denote by $VEC_{G}$ (B, F) the set of isomorphism classes in algebraic G-vector bundles over B with F as the fiber over the origin of B. Schwarz (or Karft-Schwarz) shows that $VEC_{G}$ (B, F) admits an abelian group structure when dim B∥G = 1. In this paper, we introduce a stable functor $VEC_{G}$ (B, $F^{\chi}$) and prove that it is an abelian group for any G-module B. We also show that this stable functor will have nice properties.

• 대한수학회지
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• 제45권1호
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• pp.137-150
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• 2008

In this paper we will prove that the simple groups $B_p(3)\;and\;G_p(3)$, p an odd prime number, are 2-recognizable by the set of their order components. More precisely we will prove that if G is a finite group and OC(G) denotes the set of order components of G, then OC(G) = $OC(B_p(3))$ if and only if $G{\cong}B_p(3)\;or\;C_p(3)$.

• Asian Pacific Journal of Cancer Prevention
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• 제16권3호
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• pp.947-952
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• 2015

The aim of this study was to evaluate the effects of grape juice on colon carcinogenesis induced by azoxymethane (AOM) and expression of NF-kB, iNOS and TNF-${\alpha}$. Methods: Forty male Wistar rats were divided into 7 groups: G1, control; G2, 15 mg/kg AOM; G3, 1% grape juice 2 weeks before AOM; G4, 2% grape juice 2 weeks before AOM; G5, 1% grape juice 4 weeks after AOM; G6, 2% grape juice 4 weeks after AOM; G7, 2% grape juice without AOM. Histological changes and aberrant crypt foci (ACF) were studied, while RNA expression of NF-kB, TNF- and iNOS was evaluated by qPCR. Results: The number of ACF was higher in G2, and G4 presented a smaller number of crypts per focus than G5 (p=0.009) and G6. Small ACF (1-3) were more frequent in G4 compared to G2, G5 and G6 (p=0.009, p=0.009 and p=0.041, respectively). RNA expression of NF-kB was lower in G3 and G4 compared to G2 (p=0.004 and p=0.002, respectively). A positive correlation was observed between TNF-${\alpha}$ and NF-kB gene expression (p=0.002). In conclusion, the administration of 2% grape juice before AOM reduced the crypt multiplicity, attenuating carcinogenesis. Lower expression of NF-kB was observed in animals exposed to grape juice for a longer period of time, regardless of concentration.