• Kyungpook Mathematical Journal
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• v.54 no.4
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• pp.521-529
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• 2014

In this paper we derive some optimal convex combination bounds related to arithmetic mean. We find the greatest values ${\alpha}_1$ and ${\alpha}_2$ and the least values ${\beta}_1$ and ${\beta}_2$ such that the double inequalities $${\alpha}_1T(a,b)+(1-{\alpha}_1)H(a,b)<A(a,b)<{\beta}_1T(a,b)+(1-{\beta}_1)H(a,b)$$ and $${\alpha}_2T(a,b)+(1-{\alpha}_2)G(a,b)<A(a,b)<{\beta}_2T(a,b)+(1-{\beta}_2)G(a,b)$$ holds for all a,b > 0 with $a{\neq}b$. Here T(a,b), H(a,b), A(a,b) and G(a,b) denote the second Seiffert, harmonic, arithmetic and geometric means of two positive numbers a and b, respectively.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.11 no.4
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• pp.157-164
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• 2011

It is very difficult problem to factorize composite number. Integer factorization algorithms, for the most part, find ($a,b$) that is congruence of squares ($a^2{\equiv}b^2$(mode $n$)) with using factoring(factor base, B) and get the result, $p=GCD(a-b,n)$, $q=GCD(a+b,n)$ with taking the greatest common divisor of Euclid based on the formula $a^2-b^2=(a-b)(a+b)$. The efficiency of these algorithms hangs on finding ($a,b$). Fermat's algorithm that is base of congruence of squares finds $a^2-b^2=n$. This paper proposes the method to find $a^2-b^2=kn$, ($k=1,2,{\cdots}$). It is supposed $b_1$=0 or 5 to be surely, and b is a double number. First, the proposed method decides $k$ by getting kn that satisfies $b_1=0$ and $b_1=5$ about $n_2n_1$. Second, it decides $a_2a_1$ that satisfies $a^2-b^2=kn$. Third, it figures out ($a,b$) from $a^2-b^2=kn$ about $a_2a_1$ as deciding $\sqrt{kn}$ < $a$ < $\sqrt{(k+1)n}$ that is in $kn$ < $a^2$ < $(k+1)n$. The proposed algorithm is much more effective in comparison with the conventional Fermat algorithm.

• Journal of Nutrition and Health
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• v.22 no.3
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• pp.167-174
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• 1989

The purpose of this study was to determine if vitamin B-2 and vitamin B-6 deficiency affects hematologic profile in vivo. Rats were fed a vitamin B-2 deficient (-B2) diet or a vitamin B-6 deficient (- B6) diet or a combined vitamin B-2 and vitamin B-6 deficient (-B2-B6) diet or a control diet for 6 weeks. Hematocrit (Ht), hemoglobin (Hb), plasma iron (PI), transferrin saturation (TS) and liver iron concentration (LI) were compared. In -B2 rats vs. control rats, PI, TS and LI were significantly lower but Ht and Hb were not. In - B6 rats vs. control, Ht and Hb were significanty lower but LI was higher. The -B2-B6 rats had intermediate effects in Hb, PI, TS and LI and a decrease in Ht. The repletion with a contro diet for 2 weeks resulted in significant improvements in hematologic indices and LI in both - B2 rats and - B6 rats. This study suggests that the intakes of vitamin B-2 and vitamin B-6 are important for preventive and therap\ulcornereutic approaches to improve the hematologic status in nutritionally anemic groups.

• Bulletin of the Korean Mathematical Society
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• v.60 no.6
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• pp.1555-1566
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• 2023

A Hilbert space operator A ∈ B(H) is a generalised n-projection, denoted A ∈ (G-n-P), if A^*n = A. (G-n-P)-operators A are normal operators with finitely countable spectra σ(A), subsets of the set $\{0\}\,{\cup}\,\{\sqrt[n+1]{1}\}.$ The Aluthge transform à of A ∈ B(H) may be (G - n - P) without A being (G - n - P). For doubly commuting operators A, B ∈ B(H) such that σ(AB) = σ(A)σ(B) and ${\parallel}A{\parallel}\,{\parallel}B{\parallel}\;{\leq}\;{\parallel}{\tilde{AB}}{\parallel},$ ${\tilde{AB}}\;{\in}\;(G\,-\,n\,-\,P)$ if and only if $A\;=\;{\parallel}{\tilde{A}}{\parallel}\,(A_{00}\,{\oplus}\,(A_0\,{\oplus}\,A_u))$ and $B\;=\;{\parallel}{\tilde{B}}{\parallel}\,(B_0\,{\oplus}\,B_u),$ where A₀₀ and B₀, and A₀ ⊕ A_u and B_u, doubly commute, A₀₀B₀ and A₀ are 2 nilpotent, A_u and B_u are unitaries, A^*n_u = A_u and B^*n_u = B_u. Furthermore, a necessary and sufficient condition for the operators αA, βB, αà and ${\beta}{\tilde{B}},\;{\alpha}\,=\,\frac{1}{{\parallel}{\tilde{A}}{\parallel}}$ and ${\beta}\,=\,\frac{1}{{\parallel}{\tilde{B}}{\parallel}},$ to be (G - n - P) is that A and B are spectrally normaloid at 0.

• Journal of applied mathematics & informatics
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• v.28 no.1_2
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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 $\delta(G)$ > $\frac{(a-2)n+2{\alpha}(G)-1)}{a+b-4}$.

• Journal of the Chungcheong Mathematical Society
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• v.23 no.2
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• pp.231-236
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• 2010

Using the properties of the concave function, we show that the Hausdorff dimension of the product $C_{\frac{a+b}{2},\frac{a+b}{2}}{\times}C_{\frac{a+b}{2},\frac{a+b}{2}}$ of the same symmetric Cantor sets is greater than that of the product $C_{a,b}{\times}C_{a,b}$ of the same anti-symmetric Cantor sets. Further, for $1/e^2$ < a, b < 1/2, we also show that the dimension of the product $C_{a,a}{\times}C_{b,b}$ of the different symmetric Cantor sets is greater than that of the product $C_{\frac{a+b}{2},\frac{a+b}{2}}{\times}C_{\frac{a+b}{2},\frac{a+b}{2}}$ of the same symmetric Cantor sets using the concavity. Finally we give a concrete example showing that the latter argument does not hold for all 0 < a, b < 1/2.

• Journal of the Korean Magnetics Society
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• v.16 no.6
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• pp.287-292
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• 2006

Al substituted $CoAl_{0.5}Fe_{1.5}O_{4}$ has been studied with x-ray and neutron diffraction, $M\"{o}ssbauer$ spectroscopy and magnetization measurements. $CoAl_{0.5}Fe_{1.5}O_{4}$ revealed a cubic spinel structure of ferrinmagnetic long range ordering at room temperature, with magnetic moments of $Fe^{3+}(A)(-2.29{\mu}_{B}),\;Fe^{3+}(B)(3.81\;{\mu}_{B}),\;Co^{2+}(B)(2.66{\mu}_{B})$, respectively. The temperature dependence of the magnetic hyperfine field in $^{57}Fe$ nuclei at the tetrahedral (A) and octahedral (B) sites was analyzed based on the $N\'{e}el$ theory of magnetism. In the sample of $CoAl_{0.5}Fe_{1.5}O_{4}$, the interaction A-B interaction and intrasublattice A-A superexchange interaction were antiferromagnetic with strengths of $J_{A-B}=-19.3{\pm}0.2k_{B}\;and\;J_{A-A}=-21.6{\pm}0.2k_{B}$, respectively, while the intrasublattice B-B superexchange interaction was found to be ferromagnetic with a strength of $J_{B-B}=3.8{\pm}0.2k_{B}$.

• Journal of Physiology & Pathology in Korean Medicine
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• v.16 no.4
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• pp.680-683
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• 2002

Bovine aortic endothelial cells(BAEC) produce two variant forms of laminin with a subunit composition of AB1B2 and A'B1B2. Analyses of the intracellular assembly of these subunits revealed that the B1B2 dimer formed first, and that A or A' joined to form the AB1B2 or A'B1B2 trimer. Angiostatic steroids shifted the relative size of the A and A' monomer pool in BAEC, and competition between the A and A' subunits in joining the B1B2 dimer produced AB1B2 and A'B1B2 in different ratios. This result suggests that subunit replacement is the general mechanism for producing laminin variants by various cells for tissue morphogenesis. When laminin subunits in BAEC were cross-linked with dithio-bis-succinimidylpropionate(DSP) and immunoprecipitated with anti-Iaminin antiserum, monomeric A,A',B1 and B2 monomers and the B1B2 dimer migrated as extremely large molecules in sodium dodecyl sulfate gel electrophoresis under nonreducing conditions. When the crosslinking disulfide bonds were cleaved under reducing conditions, they migrated as the usual subunits. This result suggests that molecular chaperones were involved in the process of the assembly and replacement of laminin subunits.

• International Commerce and Information Review
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• v.5 no.2
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• pp.91-112
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• 2003

Nowadays, the spreading of electronic commerce using internet demands a lot of change in business environments, as it is called B2B. Especially, the B2B based EC have a majority rates over the 10% of whole EC markets. As the approach way and the core axis of e-Marketplace in B2B markets are changed more by the business section and industry section than by each company sections, all of the world leading company including Korea are trying to take a prior occupation in e-Marketplace market. In korea, B2B e-Marketplace are mainly leaded by ministry of commerce, industry and energy which choice the company, run a trial managed company. Above MOCIE efforts are now having a lot of trial and error. Accordingly, this thesis are focused on researching the construction trends of B2B e-Marketplace, the future prospects, and promotion plans.

• Journal of Life Science
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• v.15 no.1 s.68
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• pp.80-86
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• 2005

To achieve the purpose of this study, forty-eight male Sprague-Dawley rats were assigned to control and three endurance exercise group. 36 rats were forced to exercise according to exercise intensity for 8 weeks and 12 rats were untrained for control group. Cardiac cytosol was extracted from cardiac tissue and cardiac mitochondria was purified from the cytosol. Purified mitochondria were separated into four fraction: inner membrane, outer membrane inter membrane space and matrix. The changes of cytosolic and mitochondrial LDH isozymes activity were measure. Relative activity $(\%)$ of cytosol for low and control group showed the following order of prevalence $AB_3>A_2B_2>B_4>A_3B>A_4$ for moderate and high group : $AB_3>B_4>A_2B_2>A_3B>A_4$. Outer membrane for low group showed $AB_3>B_4>A_2B_2$, for moderate group:$ B_4>AB_3>A_2B_2$, for high and control group: $B_4>A_3B$. Inter membrane space for low, moderate and high group showed $B_4>AB_3>A_2B_2>A_3B>A_4$, for control group: $B_4>A_3B>AB_3>A_2B_2>A_4$. Inner membrane for all group showed $B_4>AB_3>A_2B_2>A_3B>A_4$. Matrix for control, low, moderate and high group showed $B_4>AB_3>A_2B_2>A_3B>A_4$. These results suggest that long term exercise intensity effect on cardiac tissue cytosolic and mitochondrial activity and $A_4,\;A_3B,\;A_2B_2,\;AB_3\;and\;B_4$ isozymes were found entirely in mitochondrial fraction.