• Journal of applied mathematics & informatics
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• v.3 no.2
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• pp.279-290
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• 1996

In the present paper we study the Cauchy problem in a Banach space E for an abstract nonlinear differential equation of form $$\frac{d^2u}{dt^2}=-A{\frac{du}{dt}}+B(t)u+f(t, W)$$ where W=($A_1$(t)u, A_2(t)u)..., A_{\nu}(t)u), A_{i}(t),\;i=1,2,...{\nu}$,(B(t), t{\in}I$=[0, b]) are families of closed operators defined on dense sets in E into E, f is a given abstract nonlinear function on $I{\times}E^{\nu}$ into E and -A is a closed linar operator defined on dense set in e into E which generates a semi-group. Further the existence and uniqueness of the solution of the considered Cauchy problem is studied for a wide class of the families ($A_{i}$(t), i =1.2...${\nu}$), (B(t), $t{\in}I$) An application and some properties are also given for the theory of partial diferential equations.

• Journal of the Chungcheong Mathematical Society
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• v.32 no.3
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• pp.349-363
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• 2019

Let ${\mathbb{H}}^5$ be the 5-dimensional Heisenberg group equipped with a left-invariant metric. In this paper we calculate the volumes of geodesic balls in ${\mathbb{H}}^5$. Let $B_e(R)$ be the geodesic ball with center e (the identity of ${\mathbb{H}}^5$) and radius R in ${\mathbb{H}}^5$. Then, the volume of $B_e(R)$ is given by $${\hfill{12}}Vol(B_e(R))\\{={\frac{4{\pi}^2}{6!}}{\left(p_1(R)+p_4(R){\sin}\;R+p_5(R){\cos}\;R+p_6(R){\displaystyle\smashmargin{2}{\int\nolimits_0}^R}{\frac{{\sin}\;t}{t}}dt\right.}\\{\left.{\hfill{65}}{+q_4(R){\sin}(2R)+q_5(R){\cos}(2R)+q_6(R){\displaystyle\smashmargin{2}{\int\nolimits_0}^{2R}}{\frac{{\sin}\;t}{t}}dt}\right)}$$ where $p_n$ and $q_n$ are polynomials with degree n.

• Honam Mathematical Journal
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• v.15 no.1
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• pp.75-85
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• 1993

For A and B, $-1{\leq}B<A{\leq}1$, let P[A, B] be the class of functions p analytic in the unit disk E with P(0) = 1 and subordinate to $\frac{1+Az}{1+Bz}$. We introduce the class $T_{\alpha}[A,B]$ of functions $f:f(z)=z+\sum\limits_{n=2}^{{\infty}}a_nz^n$ which are analytic in E and for $z{\in}E$, ${\alpha}{\geq}0$, $[(1-{\alpha}){\frac{f(z)}{z}}+{\alpha}f^{\prime}(z)]{\in}P[A,B]$. It is shown that, for ${\alpha}{\geq}1$, $T_{\alpha}[A,B]$ consists entirely of univalent functions and the radius of univalence for $f{\in}T_{\alpha}[A,B]$, $0<{\alpha}<1$ is obtained. Coefficient bounds and some other properties of this class are studied. Some radii problems are also solved.

• Journal of the Korean Magnetics Society
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• v.17 no.1
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• pp.30-33
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• 2007

The $FeIn_2S_4$ exhibits an inverse spinel which Fe ions are occupied to the octahedral(B) site, while In ions are occupied to both the tetrahedral(A) and the octahedral(B) site. The $N\'{e}el$ temperature($T_N$) is determined to be 13 K. The effective moment of $FeIn_2S_4$ found to be $5.094{\mu}_B$ from the fit of Curie-Weiss inverse susceptibility for the temperature range over $T_N$, implying angular momentum contribution. The angular momentum contribution is shown in $M\"{o}ssbauer$ spectra for the antiferromagnetic ordering region($T{\leq}\;13K$), too. A weak $Fe^{2+}(B)-S^2-Fe^{2+}(B)$ interaction is responsible for a low $N\'{e}el$ temperature($T_N$) in $FeIn_2S_4$ system. The temperature dependence of electric quadrupole interaction is explained by z-axial crystalline field energy.

• Korean Business Review
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• v.5
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• pp.241-274
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• 1992

General American English(=A.E.) has conservative elements as well as progressive elements. A.E. and B.E. are languages which have more similarities than differances. In this paper. I studied the process of English progress before the A.E. had come into being, and the historical background and the cahristics of A.E. coming into being. Considering the differences between A.E. and B.E. from spelling, pronunciation, vocabulary and grammar, I can give the outline as follows. A spelling 1. B.E. : au, ou $${\rightarrow}$$A.E. : a, o 2. B.E. : e $${\rightarrow}$$A.E. : i 3. B.E. : $${\ae}$$ oe $${\rightarrow}$$A.E. : e 4. B.E. : our $${\rightarrow}$$A.E. : or 5. B.E. : re $${\rightarrow}$$A.E. : er B. pronunciation 1. B.E. : [e] $${\rightarrow}$$A.E. : [i], [e], $$[\partial]$$ 2. B.E. : [a] $${\rightarrow}$$A.E. : 3. B.E. : [i(:)] $${\rightarrow}$$A.E. : [ai], $$[\partial]$$, $$[{\varepsilon}]$$ 4. B.E. : $$[{\ae}]$$ $${\rightarrow}$$A.E. : [e], [c] 5. B.E. : [ai] $${\rightarrow}$$A.E. : $$[{\ae}]$$, [e] 6. B.E. : [c] $${\rightarrow}$$A.E. : [e], [a], [o] 7. In case of "Vowel+[t]+Vowel", [t] is pronounced into [d] or [r] 8. In case of "-nt", [t] becomes a mute. 9. [t]+[j, l, m, n, r, u, or, w] $${\rightarrow}$$A.E. : [?] (=glottal stop) 10. B.E. : [w] $${\rightarrow}$$A.E. : [hw] 11. B.E. : [Voiceless consonants], [Voiced consonants] $${\leftarrow}$$A.E. : [Voiced consonants], [Voiceless consonants] C. Vocabulary The historical background and geographical conditions of those days caused lots of new compounds and neologies. D. Grammar Though we use "of" to indicate the possessive case of inanimate object, -s genitive is used in A.E. In the perfect tense, "have" is often omitted and also auxiliary verb "will" is used in any case

• Bulletin of the Korean Mathematical Society
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• v.22 no.2
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• pp.95-98
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• 1985

In [1], E.B. Lee and L. Markus described a sufficient condition for which the domain of null-controllability of a linear autonomous system is all of R$^{n}$ . The purpose of this note is to extend the result to a certain linear nonautonomous system. Thus we consider a linear control system dx/dt = A(t)x+B(t)u in the Eculidean n-space R$^{n}$ where A(t) and B(t) are n*n and n*m matrices, respectively, which are continuous on 0.leq.t<.inf. and A(t) is a periodic matrix of period .omega.. Admissible controls are bounded measurable functions defined on some finite subintervals of [0, .inf.) having values in a certain convex set .ohm. in R$^{m}$ with the origin in its interior. And we present a sufficient condition for which the domain of null-controllability is all of R$^{n}$ .

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2008.05a
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• pp.693-697
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• 2008

Generally, the rate of reuse should be increased within the certain area for efficient operation of radio resources in a CDMA mobile communication system, and then signal interference between the sane radio channels should be minimized. for this reason, this study conducted a simulation of cell secterization methods(3 and 4 sectors) as a practical and immediately applicable method to the field to minimize signal interference, to construct an economical network, and to increase the efficiency of frequency use. Also, by analyzing RSSi, $E_c/I_o$, $E_b/N_t$ and 3-way handoff which were simulation results, their possibility of use was identified.

• YAKHAK HOEJI
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• v.49 no.4
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• pp.299-305
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• 2005

Structure-activity relationship studies of allylamine type of antimycotics were carried out to evaluate the effect of naphthyl and methyl portion of naftifine. Compounds with 3,4-difluorophenyl (2a-5a), 4-hydroxyphenyl (2b-5b), 3-nitro­phenyl (2c-5c), 4-chlorobenzothiazoly (2d-5d) and 5-methylfurfural (2e-5e) instead of naphthyl group, and with hydrogen (3a-3e), methyl (4a-4e) and ethyl (5a-5e) in the place of methyl in naftifine were synthesized and tested for their in vitro anti-fungal activities against five different fungi. Fourteen compounds (3a, 4a, 5a, 3b, 4b, 5b, 3c, 4c, 5c, 3d, 4d, 3e, 4e and 5e) showed significant anti-fungal activities against T. mentagrophytes. (E)-N-(3-Phenyl-2-propenyl)-3,4-difluoro-ben­zenemethaneamine(3a), (E)_N_(3_phenyl_2_propenyl)_4_hydroxy_benzenemethaneamine(3b) and (E)-N-ethyl-N-(3-phenyl­2-propenyl)-3-nitro-benzenemethaneamine (5c) displayed moderate anti-fungal activities against all five different fungi.

• The Journal of Internal Korean Medicine
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• v.14 no.1
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• pp.129-138
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• 1993

This report on the $T{\acute{o}}u\;f{\bar{e}}ng$ and Migraine comes to conclude, through the study of the Oriental- Western medical references, as follow; 1. First, $T{\acute{o}}u\;f{\bar{e}}ng$ and Migraine had some concurrencies that both the two symptoms have appeared severe and recurrent headache and more often to the female. 2 Many of them e.g. Sensory disturbance, Vertigo, Nausea, Vomiting, Tinnitus etc. in the prodrome and main symptom of $T{\acute{o}}u\;f{\bar{e}}ng$ and Migraine were identical, especially the symptom of the $f{\bar{e}}ng\;t{\acute{a}}n\;t{\acute{o}}u\;t{\grave{o}}ng$ was similar to the prodrome of the Migraine. We could find out the semilarity of the symptoms through that Migraine is proximately set in unilateral, and $Pi{\bar{a}}nT{\acute{o}}u\;f{\bar{e}}ng$ is so called alias $B{\grave{a}}n\;bi{\bar{a}}n\;t{\acute{o}}u\;t{\grave{o}}ng$. 3. The pathogeny of $T{\acute{o}}u\;f{\bar{e}}ng$ include the case of ‘$f{\bar{e}}ng\;xi{\acute{e}}\;r{\grave{u}}\;n{\bar{a}}o$’, the patient feeling weak condition, $T{\acute{a}}n,\;T{\acute{a}}nshi,\;T{\acute{a}}nhu{\breve{o}},\;Y{\grave{u}}q{\grave{i}}$, etc. and, ‘$t{\acute{a}}n\;zhu{\grave{o}}\;sh{\grave{a}}ng\;y{\acute{a}}o$’, ‘$G{\bar{a}}n\;y{\acute{a}}ng\;hu{\grave{a}}\;f{\bar{e}}ng$’. There were variable that $F{\bar{e}}ng,\;Xu{\grave{e}},\;F{\bar{e}}ngr{\grave{a}},\;F{\bar{e}}ngx{\bar{u}},\;Xu{\grave{e}}x{\bar{u}},\;Hu{\check{o}}$ in the left, and $t{\acute{a}}n,\;R{\grave{e}},\;t{\acute{a}}nr{\grave{e}},\;Qir{\acute{a}}$ in the right partial pathogeny. It was referred $Sh{\grave{a}}o\;y{\acute{a}}ng\;j{\bar{i}}ng$, $Ju{\acute{e}}\;y{\bar{i}}n\;j{\bar{i}}ng$, $Y{\acute{a}}ng\;m{\acute{i}}ng\;j{\bar{i}}ng$, $T{\grave{a}}i\;y{\acute{a}}ng\;j{\bar{i}}ng$ in connection with the Meridian system. And otherwise the primary cause of Migraine is still unknown to us. Heredity is probably important, but the mode of transmission is uncertain. Recently, the important assumption is the vasomotor change caused by vasoconstrictors like that norepinephrine, epinephrine, and serotonin etc.

• Korean Journal of Microbiology
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• v.25 no.1
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• pp.52-56
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• 1987

The evidences that Lam B protein of E. coli is used as a receptor for infections of bacteriophage N4 as well as bacteriophage lambda were obtained from the following experimental results. First, all of the isolated lambda resistant dlones possessing foreign DNA fragments in the plasmids were also resistant to bacteriophage N4, but not to bacteriophage $\phi$ 80, T4 and T7. Second, when the plasmid DNA was treated with various restriction enzymes and ligated to delete the total or a portion of the foreign DNA fragments, the deleted plasmids lost the resistant activities to lambda and N4, simultaneously. Third, after amplification of Lam B protein about 200 times by inducing the protein using maltose as a sole carbon source, the host E. coli became sensitive to both lambda and N4.