• Communications of the Korean Mathematical Society
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• v.16 no.4
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• pp.621-626
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• 2001

Let { $A_{>o}$ t= exp(M log t)} $_{t}$ be a dilation group where M is a real n$\times$n matrix whose eigenvalues has strictly positive real part, and let $\rho$be an $A_{t}$ -homogeneous distance function defined on ( $R^{n}$ ). Suppose that K is a function defined on ( $R^{n}$ ) such that /K(x)/$\leq$ (No Abstract.see full/text) for a decreasing function defined on (t) on R+ satisfying where wo(x)=│log│log (x)ll. For f$\in$ $L_{1}$ ( $R^{n}$ ), define f(x)=sup t>0 Kt*f(x)=t-v K(Al/tx) and v is the trace of M. Then we show that \ulcorner is a bounded operator of $L_{-{1}( $R^{n}$ ) into $L^1$,$\infty$( $R^{n}$).

• Korean Journal of Food Science and Technology
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• v.25 no.1
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• pp.69-77
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• 1993

Substrate removal efficiency of industrial wastewater from dye plant was investigated with fluidized-bed biofilm reactor(FBBR). Wastewater was diluted by 2, 3 and 6 times for experiment. When F/M ratio was increased 0.2 to 0.3, substrate removal efficiency of wastewater was rapidly decreased in all dilution ratio. Substrate removal efficiency was increased with dilution ratio in same F/M ratio, with hydraulic retention time. In case of 6 times diluted wastewater, below 0.2 F/M ratio, removal efficiency of BOD was $90{\sim}97%$. For reactor design, the parameters such as Y, $k_d$ and r was obtained as follows: $Y=0.3365\;k_d=0.03782\;day^{-1}\;r=0.997$ in 2 times diluted $Y=0.3341\;k_d=0.02750\;day^{-1}\;r=0.996$ in 3 times diluted $Y=0.3365\;k_d=0.03434\;day^{-1}\;r=0.998$ in 6 times diluted

• Journal of Korean Academy of Nursing
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• v.30 no.3
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• pp.571-583
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• 2000

The purpose of this study was to identify the level of self-disclosure and clinical competency and the relationships between self-disclosure and clinical competency in nursing students. The subjects were consisted of 662 nursing students from six universities and five junior colleges. The data were collected conveniently by self reporting questionnaires given to the students from September 13 to October 23, 1999. The instruments for this study were JSDQ and clinical competency measurement tool. The data were analyzed by SAS/PC program using descriptive statistics, t-test, ANOVA, Pearson correlation coefficient. The results of this study are as follows : 1. The mean score for the level of self- disclosure was 3.29$\pm$0.98. 2. The mean score for the level of clinical competency was 3.93$\pm$1.00. The mean score for the dimension of skills, professional attitudes, teaching and coordinating, nursing process, interpersonal relationships were 4.09$\pm$0.77, 4.08$\pm$0.82, 3.97$\pm$ 0.90, 3.77$\pm$0.76 and 3.37$\pm$0.75 respectively. 3. The statistically significant difference in the score of the self-disclosure according to the educational background (F=9.42, p<.01), grade (F=5.59, p<.01), religion (F=2.68, p<.05), satisfaction of nursing major (F=14.20, p<.0001), and satisfaction of nursing practice (F=5.42, p<.01) was obtained. 4. The statistically significant difference in the score of the clinical competency according to the grade (F=32.44, p<.0001), achieved performance records (F=3.52, p<.05), satisfaction of nursing major (F=12.06, p<.0001), satisfaction of nursing practice (F=27.35, p<.0001) was obtained. 5. The data shows the positive correlations between self-disclosure and skill (r=.3231, p<.0001), between self- disclosure and teaching/coordinating (r=.1912, p<.0001), between self-disclosure and interpersonal relationship (r=.3064, p<.0001), between self-disclosure and professional attitude (r=.2789, p<.0001), between self-disclosure and nursing process (r=.2766, p<.0001).

• Journal of the Korean Mathematical Society
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• v.47 no.5
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• pp.879-897
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• 2010

Y. Hirano introduced the concept of a quasi-Armendariz ring which extends both Armendariz rings and semiprime rings. A ring R is called quasi-Armendariz if $a_iRb_j$ = 0 for each i, j whenever polynomials $f(x)\;=\;\sum_{i=0}^ma_ix^i$, $g(x)\;=\;\sum_{j=0}^mb_jx^j\;{\in}\;R[x]$ satisfy f(x)R[x]g(x) = 0. In this paper, we first extend the quasi-Armendariz property of semiprime rings to the skew polynomial rings, that is, we show that if R is a semiprime ring with an epimorphism $\sigma$, then f(x)R[x; $\sigma$]g(x) = 0 implies $a_iR{\sigma}^{i+k}(b_j)=0$ for any integer k $\geq$ 0 and i, j, where $f(x)\;=\;\sum_{i=0}^ma_ix^i$, $g(x)\;=\;\sum_{j=0}^mb_jx^j\;{\in}\;R[x,\;{\sigma}]$. Moreover, we extend this property to the skew monoid rings, the Ore extensions of several types, and skew power series ring, etc. Next we define $\sigma$-skew quasi-Armendariz rings for an endomorphism $\sigma$ of a ring R. Then we study several extensions of $\sigma$-skew quasi-Armendariz rings which extend known results for quasi-Armendariz rings and $\sigma$-skew Armendariz rings.

• Bulletin of the Korean Mathematical Society
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• v.58 no.3
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• pp.711-720
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• 2021

Let R denote a commutative noetherian ring, and let 𝐱 := x1, …, xd be an R-regular sequence. Suppose that 𝖆 denotes a monomial ideal with respect to 𝐱. The first purpose of this article is to show that 𝖆 is irreducible if and only if 𝖆 is a generalized-parametric ideal. Next, it is shown that, for any integer n ≥ 1, (x1, …, xd)n = ⋂P(f), where the intersection (irredundant) is taken over all monomials f = xe11 ⋯ xedd such that deg(f) = n - 1 and P(f) := (xe1+11, ⋯, xed+1d). The second main result of this paper shows that if 𝖖 := (𝐱) is a prime ideal of R which is contained in the Jacobson radical of R and R is 𝖖-adically complete, then 𝖆 is a parameter ideal if and only if 𝖆 is a monomial irreducible ideal and Rad(𝖆) = 𝖖. In addition, if a is generated by monomials m1, …, mr, then Rad(𝖆), the radical of a, is also monomial and Rad(𝖆) = (ω1, …, ωr), where ωi = rad(mi) for all i = 1, …, r.

• Journal of applied mathematics & informatics
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• v.42 no.2
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• pp.367-377
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• 2024

Let G = (V, E) be a graph with p-vertices and q-edges and let R^◦ be a finite zero ring of order n. An injective function f : V (G) → {r₁, r₂, _…, r_k}, where r_i ∈ R^◦ is called vertex pair sum k-zero ring labeling, if it is possible to label the vertices x ∈ V with distinct labels from R^◦ such that each edge e = uv is labeled with f(e = uv) = [f(u) + f(v)] (mod n) and the edge labels are distinct. A graph admits such labeling is called vertex pair sum k-zero ring graph. The minimum value of positive integer k for a graph G which admits a vertex pair sum k-zero ring labeling is called the vertex pair sum k-zero ring index denoted by 𝜓_pz(G). In this paper, we defined the vertex pair sum k-zero ring labeling and applied to some graphs.

• The Plant Pathology Journal
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• v.32 no.1
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• pp.53-57
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• 2016

Major diseases in grafted cacti have been reported and Fusarium oxysporum, Bipolaris cactivora, Phytophthora spp. and Collectotrichum spp. are known as causal pathogens. These pathogens can lead to plant death after infection. Therefore, some European countries have quarantined imported cacti that are infected with specific fungal pathogens. Consequently, we developed PCR detection methods to identify four quarantined fungal pathogens and reduce export rejection rates of Korean grafted cacti. The pathogen specific primer sets F.oF-F.oR, B.CF-B.CR, P.nF-P.nR, and P.cF-P.CR were tested for F. oxysporum, B.cactivora, P. nicotinae, and P. cactorum, respectively. The F.oF-F.oR primer set was designed from the Fusarium ITS region; the B.CF-B.CR and P.nF-P.nR primers respectively from Bipolaris and Phytophthora ITS1; and the P.cF-P.CR primer set from the Ypt1protein gene region. The quarantine fungal pathogen primer pairs were amplified to the specific number of base pairs in each of the following fungal pathogens: 210-bp (F. oxysporum), 510-bp (B. cactivora), 313-bp (P. nicotinae), and 447-bp (P. cactorum). The detection limit for the mono- and multiplex PCR primer sets was 0.1 ng of template DNA under in vitro conditions. Therefore, each primer set successfully diagnosed contamination of quarantine pathogens in export grafted cacti. Consequently, our methodology is a viable tool to screen contamination of the fungal pathogen in exported grafted cacti.

• Journal of Radiation Industry
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• v.2 no.3
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• pp.121-128
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• 2008

Flavanone-3-hydroxylase (F3H) is one of the key enzymes for the biosynthesis of flavonals, anthocyanins, catechins and proanthocyanins. F3H catalyzes the $3{\beta}$-hydroxylation of (2S)-flavonones to form (2R, 3R)-dihydroflavonols. In this report, we isolated a full-length cDNA of RocF3H from black raspberry (Rubus occidentalis L.) using a reverse transcriptase-PCR and rapid amplification of the cDNA ends (RACE)-PCR. The full-length cDNA of RocF3H contains a 1,098 bp open reading frame (ORF) encoding a 365 amino acid protein with a calculated molecular weight of about 41.1 kDa and isoelectric point (pI) of 5.45. The genomic DNA analysis revealed that the RocF3H gene had three exons and two introns. Comparison of the deduced amino acid sequence of the RocF3H with other F3Hs revealed that the protein is highly homologous with various plant species. The conserved amino acids ligating the ferrous iron and the residues participating in the 2-oxoglutarate binding (R-X-S) were found in RocF3H at the similar positions to other F3Hs. Southern blot analysis indicated that RocF3H exist a multi-gene family. The isolation of RocF3H gene will be helpful to further study the role of F3H gene in the biosynthesis of flavonoids in R. occidnetalis.

• Korean Journal of Mathematics
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• v.25 no.4
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• pp.483-494
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• 2017

In the current manuscript, we investigate the pointwise convergence of the singular integral operators involving power nonlinearity given in the following form: $$T_{\lambda}(f;x)={\int_a^b}{\sum^n_{m=1}}f^m(t)K_{{\lambda},m}(x,t)dt,\;{\lambda}{\in}{\Lambda},\;x{\in}(a,b)$$, where ${\Lambda}$ is an index set consisting of the non-negative real numbers, and $n{\geq}1$ is a finite natural number, at ${\mu}$-generalized Lebesgue points of integrable function $f{\in}L_1(a,b)$. Here, $f^m$ denotes m-th power of the function f and (a, b) stands for arbitrary bounded interval in ${\mathbb{R}}$ or ${\mathbb{R}}$ itself. We also handled the indicated problem under the assumption $f{\in}L_1({\mathbb{R}})$.

• Korean Journal of Mathematics
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• v.7 no.2
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• pp.151-158
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• 1999

Let (X, G) be a transformation group and ${\sigma}(X,x_0,G)$ the fundamental group of (X, G). In this paper, we prove that the Reidemeister number $R(f_G)$ for an endomorphism $f_G:(X,G){\rightarrow}(X,G)$ is a homotopy invariant. In particular, when any self-map $f:X{\rightarrow}X$ is homotopic to the identity map, we give some calculation of the lower bound of $R(f_G)$. Finally, we discuss commutativity and product formula for the Reidemeister number $R(f_G)$.