• Bulletin of the Korean Mathematical Society
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• v.22 no.1
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• pp.7-10
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• 1985

For each a.mem.S and f.mem.m(S), denote by $l_{a}$ f(s)=f(as) for all s.mem.S. If A is a norm closed left translation invariant subalgebra of m(S) (i.e. $l_{a}$ f.mem.A whenever f.mem.A and a.mem.S) containing 1, the constant ont function on S and .phi..mem. $A^{*}$, the dual of A, then .phi. is a mean on A if .phi.(f).geq.0 for f.geq.0 and .phi.(1) = 1, .phi. is multiplicative if .phi. (fg)=.phi.(f).phi.(g) for all f, g.mem.A; .phi. is left invariant if .phi.(1sf)=.phi.(f) for all s.mem.S and f.mem.A. It is well known that the set of multiplicative means on m(S) is precisely .betha.S, the Stone-Cech compactification of S[7]. A subalgebra of m(S) is (extremely) left amenable, denoted by (ELA)LA if it is nom closed, left translation invariant containing contants and has a multiplicative left invariant mean (LIM). A semigroup S is (ELA) LA, if m(S) is (ELA)LA. A subset E.contnd.S is left thick (T. Mitchell, [4]) if for any finite subser F.contnd.S, there exists s.mem.S such that $F_{s}$ .contnd.E or equivalently, the family { $s^{-1}$ E : s.mem.S} has finite intersection property.y.

• Bulletin of the Korean Mathematical Society
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• v.44 no.2
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• pp.247-257
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• 2007

Consider the heteroscedastic regression model $Y_i=g(x_i)+{\sigma}_i\;{\epsilon}_i=(1{\leq}i{\leq}n)$, where ${\sigma}^2_i=f(u_i)$, the design points $(x_i,\;u_i)$ are known and nonrandom, and g and f are unknown functions defined on closed interval [0, 1]. Under the random errors $\epsilon_i$ form a sequence of NA random variables, we study the asymptotic normality of wavelet estimators of g when f is a known or unknown function.

• Journal of Ginseng Research
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• v.28 no.4
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• pp.191-195
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• 2004

An investigation was conducted to ascertain the basic information on characteristics of embryonic tissue development among Korean Ginseng, American ginseng, $F_{1}$ hybrids and $BC_{1}F_{1}(F_{1}$ pollen back cross to $BC_{1}=Korean\;Ginseng)seeds$. The specific activities of lipoxygenase (LOX) and the protein assays were made during the above embry­onic growth period at 5 or 25 degree C. The results are summarized as follows: The fresh weights(mg) of germinating seeds were significantly different among species. Ginseng seeds were stratified at $5^{\circ}C\;for\;60\;days$ the ratios of embryo/endosperms in $P.g.,\;P.q\;or\;F_{1}\;were\;about\;90{\%}$. The ratio was in $BC_{1}F_{1},\;79.2{\%}$ during the same period. The ratios of embryo/endosperms of seeds of P.g. or P.q. germinated at $5^{\circ}C$ showed rather higher values as compared to that at $25^{\circ}C$ LOX specific activity the highest in the $F_{1}$ and decreased in the order of P.g., P.q., and $BC_{1}F_{1}$. The highest LOX specific activity was shown at 80 days after sowing, followed by 70 days sowing, the least LOX activity was shown at 60 days.

• Journal of the Korean Mathematical Society
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• v.33 no.3
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• pp.601-607
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• 1996

For functions $f(z) = \sum_{n = 0}^{\infty}a_n z^n$ and $g(z) = \sum_{n = 0}^{\infty} b_n z^n$ analytic in the unit disk $\Delta = {z : $\mid$z$\mid$ < 1}$, the convolution $f * g$ is defined by $(f * g)(z) = \sum_{n = 0}^{\infty}a_n b_n z^n$. Let S denote the family of functions $f(z) = z + \cdots$ analytic and univalent in $\Delta$ and K, St, C the subfamilies that are respectively convex, starlike, and close-to-convex.

• Toxicological Research
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• v.15 no.1
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• pp.35-38
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• 1999

RNA synthesis rate was measured at different time points after UV irradiation in various xeroderma pigmentosum (XP) cells including complementation groups F and G. The RNA synthesis was assayed by measuring 3H-uridine incorporation. In normal cells, recovery of RNA synthesis was initiated at about 6 hr ager UV irradiation and reached to the same level as in unirradiated cells at 24hr after UV irradiation. By contrast, no such recovery was observed in group F,G XP cells.

• Bulletin of the Korean Mathematical Society
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• v.44 no.4
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• pp.817-823
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• 2007

In this paper, we develop a simple method for computing the stabilizer subgroup of a subgroup of $$D(g)={{\alpha}{\in}\mathbb{F}_q|there\;is\;a\;{\beta}{\in}{\mathbb{F}}^x_q\;such\;that\;{\beta}^n=g(\alpha)}$$ in $PSL_2(\mathbb{F}_q)$, where q is a large odd prime power, n is a positive integer dividing q-1, and $g(x){\in}\mathbb{F}_q[x]$. As an application, we construct new infinite families of 3-designs (cf. Examples 3.4 and 3.5).

• Communications of the Korean Mathematical Society
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• v.11 no.1
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• pp.235-244
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• 1996

For a self-map f of a CW-pair (X, A), we introduce the G(f)-sequence of (X, A) which consists of subgroups of homotopy groups in the homotopy sequence of (X, A) and show some properties of the relative homotopy Jian groups. We also show a condition for the G(f)-sequence to be exact.

• Journal of the korean academy of Pediatric Dentistry
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• v.11 no.1
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• pp.7-12
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• 1984

This study was undertaker to observe the longitudinal change by orthodontic treatment for early Class III malocclusion in primary and mixed dentition. Cephalometric roentgenograms of 8 children with Class III malocclusion obtained during activator therapy were measured and compared with those obtained before activator therapy. The following results were observed. During treatment with activator; 1. The maxilla became retrueded in A,C,E, and K and protruded in F, G, H, and J. 2. The mandible became retruded in A,C,E, and F and F and protruded in H and J. No difference was observed in G and K. 3. Gonial angle became reduced in A,C,E,F, and K and increased in H. No difference was observed in G and J. 4. The steepness of mandibular plane became reduced in C,E,F,G,H, and J and increased in A. No difference was observed in K. 5. The inclination of upper incisor became more labially in A,C,E,G,H,J, and K. No difference was observed in F. 6. The inclination of lower incisor became more lingually in all cases.

• Asian-Australasian Journal of Animal Sciences
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• v.16 no.6
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• pp.880-883
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• 2003

The objective of this study was to measure performance of young broiler chickens fed three varieties of high-oil corn (HOC 1, 2, and 3) compared with eight varieties of normal corn (NC). HOC varieties contained about 80% more oil than NC (average crude fat; 6.71% vs 3.72%) and about 29% more protein (average CP; 9.54% vs 7.38%). Each experimental diet was formulated with the same amount (55.205%) of each corn hybrid. Experiment 1 had by six dietary treatments (HOC1 and five NC varieties, 360 chickens) and Experiment 2 had five treatments (HOC2, HOC3, and three NC varieties, 250 chickens). In Exp. 1, for feed efficiency (F/G), the treatment contained HOC1 had better performance (p<0.05) than other NC varieties except NC5. As expected, there was no significant difference in average daily feed intake (p>0.05) among dietary treatments. The dietary treatment of HOC1 gave an improvement of 4.3% in F/G that came from 6% higher gross energy (GE) value of HOC1. Compared with Exp. 2, the dietary treatments contained HOC hybrids gave 4.4% higher F/G than NC dietary treatments, which came from a 5% increase in GE value. HOC varieties had superior nutrients content to NC for poultry, due to the fact that HOC contained higher concentrations of energy, protein, lysine, and methionine, thus improving growth and F/G.

• Bulletin of the Korean Mathematical Society
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• v.47 no.2
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• pp.319-339
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• 2010

In this paper, we prove that if $f^nf'\;-\;P$ and $g^ng'\;-\;P$ share 0 CM, where f and g are two distinct transcendental meromorphic functions, $n\;{\geq}\;11$ is a positive integer, and P is a nonzero polynomial such that its degree ${\gamma}p\;{\leq}\;11$, then either $f\;=\;c_1e^{cQ}$ and $g\;=\;c_2e^{-cQ}$, where $c_1$, $c_2$ and c are three nonzero complex numbers satisfying $(c_1c_2)^{n+1}c^2\;=\;-1$, Q is a polynomial such that $Q\;=\;\int_o^z\;P(\eta)d{\eta}$, or f = tg for a complex number t such that $t^{n+1}\;=\;1$. The results in this paper improve those given by M. L. Fang and H. L. Qiu, C. C. Yang and X. H. Hua, and other authors.