• 대한수학회지
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• 제44권3호
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• pp.525-539
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• 2007

Consider the regression model $Y_i=g(x_i)+e_i\;for\;i=1,\;2,\;{\ldots},\;n$, where: (1) $x_i$ are fixed design points, (2) $e_i$ are independent random errors with mean zero, (3) g($\cdot$) is unknown regression function defined on [0, 1]. Under $Y_i$ are censored randomly, we discuss the asymptotic normality of the weighted kernel estimators of g when the censored distribution function is known or unknown.

• Journal of applied mathematics & informatics
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• 제30권1_2호
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• pp.253-264
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• 2012

In the present article, we construct the exact traveling wave solutions of nonlinear PDEs in the mathematical physics via the (1+1)-dimensional Boussinesq equation by using the following two methods: (i) A further improved ($\frac{G}{G}$) - expansion method, where $G=G({\xi})$ satisfies the auxiliary ordinary differential equation $[G^{\prime}({\xi})]^2=aG^2({\xi})+bG^4({\xi})+cG^6({\xi})$, where ${\xi}=x-Vt$ while $a$, $b$, $c$ and $V$ are constants. (ii) The well known extended tanh-function method. We show that some of the exact solutions obtained by these two methods are equivalent. Note that the first method (i) has not been used by anyone before which gives more exact solutions than the second method (ii).

• Journal of applied mathematics & informatics
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• 제41권2호
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• pp.321-330
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• 2023

Let G = (V, E) be a graph. Consider the group S₃. Let g : V (G) → S₃ be a function. For each edge xy assign the label 1 if ${\lceil}{\frac{o(g(x))+o(g(y))}{2}}{\rceil}$ is odd or 0 otherwise. g is a group S₃ mean cordial labeling if |v_g(i) - v_g(j)| ≤ 1 and |e_g(0) - e_g(1)| ≤ 1, where vg(i) and e_g(y)denote the number of vertices labeled with an element i and number of edges labeled with y (y = 0, 1). The graph G with group S₃ mean cordial labeling is called group S₃ mean cordial graph. In this paper, we discuss group S3 mean cordial labeling for star related graphs.

• Journal of applied mathematics & informatics
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• 제27권5_6호
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• pp.1157-1163
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• 2009

Let G be a graph with vertex set V(G) and let f be a nonnegative integer-valued function defined on V(G). A spanning subgraph F of G is called a fractional f-factor if $d^h_G$(x)=f(x) for all x $\in$ for all x $\in$ V (G), where $d^h_G$ (x) = ${\Sigma}_{e{\in}E_x}$ h(e) is the fractional degree of x $\in$ V(F) with $E_x$ = {e : e = xy $\in$ E|G|}. In this paper it is proved that if ${\delta}(G){\geq}{\frac{b^2(k-1)}{a}},\;n>\frac{(a+b)(k(a+b)-2)}{a}$ and $|N_G(x_1){\cup}N_G(x_2){\cup}{\cdots}{\cup}N_G(x_k)|{\geq}\frac{bn}{a+b}$ for any independent subset ${x_1,x_2,...,x_k}$ of V(G), then G has a fractional f-factor. Where k $\geq$ 2 be a positive integer not larger than the independence number of G, a and b are integers such that 1 $\leq$ a $\leq$ f(x) $\leq$ b for every x $\in$ V(G). Furthermore, we show that the result is best possible in some sense.

• 대한수학회논문집
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• 제9권2호
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• pp.361-367
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• 1994

An elliptic module is an analogue of an elliptic curve over a function field [D]. The dual of an elliptic curve E is represented by Ext(E, $G_{m}$) and the Cartier dual of an affine group scheme G is represented by Hom(G, G$G_{m}$). In the category of elliptic modules the Carlitz module C plays the role of $G_{m}$. Taguchi [T] showed that a notion of duality of a finite t-module can be represented by Hom(G, C) in a suitable category. Our computation shows that the Ext-group as it stands is rather too "big" to represent a dual of an elliptic module.(omitted)

• Kyungpook Mathematical Journal
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• 제61권4호
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• pp.745-763
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• 2021

For a value s ∈ ℂ∪ {∞}, two meromorphic functions f and g are said to share the value s, CM, (or IM), provided that f(z)-s and g(z)-s have the same set of zeros, counting multiplicities, (respectively, ignoring multiplicities). We say that a meromorphic function f shares s ∈ Ŝ partially with a meromorphic function g if E(s, f) ⊆ E(s, g). It is easy to see that "partially shared values CM" are more general than "shared values CM". With the help of partially shared values, in this paper, we prove some uniqueness results between a non-constant meromorphic function and its generalized differences or shifts. We exhibit some examples to show that the result of Charak et al. [8] is not true for k = 2 or k = 3. We find some gaps in proof of the result of Lin et al. [24]. We not only correct these resuts, but also generalize them in a more convenient way. We give a number of examples to validate certain claims of the main results of this paper and also to show that some of conditions are sharp. Finally, we pose some open questions for further investigation.

• 한국축산식품학회지
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• 제18권4호
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• pp.348-357
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• 1998

This study was conducted to investigate the effects of mugwort extracts on the blood ethanol concentration and liver function in rats. Sprague-Dawley rats were used, the rats administered with 25% ethanol (5g/kg$.$B.W.) were devided into three groups (CON-E ; 25% ethanol administered to the CON-E) according to the administered ethanol concentration and the levels of administered mugwonts. Mugwont roots extracts were administered via the caudal vein. Ethanol concentration was measured at the time of 0, 1, 2 and 3hr by gas chromatography. GOT(Glutamic Oxaloacetic Transaminase) and GPT(Glutamic Pyruvic Transaminase) were measured at the time of 0 and 5hr. Components of each extracts were analyzed by using high performance liquid chromatography. Cell number, GOT and GPT were investigated by using rat hepatocyte culture. Megwort extracts were added at the levels of 1% or 2%. Hepatocyte culture were into five groups according to the addition levels. The results were summarized as follows ; 1. Catechin contents of 8∼10mg/100g and the contents of (-)-epigallocatechin was high in the water extracts. 2. Ethanol degradation efficiency declines in the following order : MDW-E＞MOH-E＞CON-E. 3. The numbers of rat hepatocytes declines in the following order : 2% MDW-L＞1%MDW-L＞1%MOH-L＞CON-L＞2%MOH-L. These results suggest that crude catechin of mugwort extracts may play important roles to degrade ethanol and recover liver function in rats.

• 대한수학회논문집
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• 제38권1호
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• pp.163-178
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• 2023

We use the theory of differential subordination to explore various inequalities that are satisfied by an analytic function p defined on the unit disc so that the function p is subordinate to the function e^z. These results are applied to find sufficient conditions for the normalised analytic functions f defined on the unit disc to satisfy the subordination zf'(z)/f(z) ≺ e^z.

• Food Quality and Culture
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• 제2권2호
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• pp.85-88
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• 2008

We have investigated the effects of cottonseed extract on the proliferation, differentiation and lipopolysaccharide (LPS)-induced production of local factors in murine clonal osteoblastic MC3T3-E1 cells. Ethanol extract of cotton seed ($4{\sim}63{\mu}g/mL$) significantly increased the proliferatin of MC3T3-E1 cells (p<0.05). Moreover, cottonseed extract ($10{\sim}50{\mu}g/mL$) caused a significant elevation of alkaline phosphatase (ALP) activity and collagen content in the cells. Lipopolysaccharide (LPS) is a potent stimulator of bone resorption in inflammatory diseases. We examined the effect of cottonseed extract on the LPS-induced production of tumor necrosis factor a (TNF-$\alpha$) and nitric oxide (NO) in MC3T3-E1 cells. Treatment with cottonseed extract ($10{\sim}50{\mu}g/mL$) decreased the $5{\mu}g/mL$ LPS-induced production of TNF-$\alpha$ and NO in osteoblasts, suggesting that the antiresorptive action of cottonseed extract may be mediated by decrease in these local factors. This study suggests that cottenseed may contribute to antiresorptive action against osteoblastic cells, resulting in a beneficial effect in promoting the function of osteoblastic cells.

• 한국수산과학회지
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• 제55권2호
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• pp.129-136
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• 2022

The nutrient composition of the muscle of the hybrid grouper (Epinephelus fuscoguttatus×E. lanceolatus, HG) and the hybrid longtooth grouper (E. moara×E. lanceolatus, HLG) was measured as a function of body weight in this study. The crude protein and lipid levels in HG were 21.0-21.2 g/100 g and 1.9-3.4 g/100 g, respectively. HLG contained 20.6-20.7 g/100 g protein, and 3.9-5.5 g/100 g crude lipid. The total amino acid contents of HG were 18,829.7-18,980.2 mg/100 g and that of HLG was 17,793.7-19,293.7 mg/100 g. The mean saturated fatty acid content was 0.61-1.09 g/100 g for HG and 1.27-1.77 g/100 g for HLG. Monounsaturated and polyunsaturated fatty acid levels were 0.59-1.02 g/100 g (Monoene), 0.67-1.11 g/100 g (Polyene) in HG, which were lower than the 1.21-1.78 (Monoene), 1.22-1.69 g/100 g (Polyene) found in HLG. The highest mineral content (K and P) of HG was 510.13-517.05 mg/100g and 231.59-247.67 mg/100 g, while that of HLG was 518.81-523.59 mg/100 g and 257.51-248.84 mg/100 g, respectively. In conclusion, there is potential for expanding the commercial utilization of HG and HLG as food resources as they are both nutrient-rich.