• Bulletin of the Korean Mathematical Society
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• 제36권3호
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• pp.589-597
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• 1999

Let G be a closed subspace of a Banach space X and let (S,$\Omega$,$\mu$) be a $\sigma$-finite measure space. It was known that $L_1$(S,G) is proximinal in $L_1$(S,X) if and only if $L_p$(S,G) is proximinal in $L_p$(S,X) for 1$\infty$. In this article we show that this result remains true when "proximinal" is replaced by "Chebyshev". In addition, it is shown that if G is a proximinal subspace of X such that either G or the kernel of the metric projection $P_G$ is separable then, for 0 < p $\leq$ $\infty$. $L_p$(S,G) is proximinal in $L_p$(S,X)

• Bulletin of the Korean Mathematical Society
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• 제52권5호
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• pp.1737-1751
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• 2015

For every doubling gauge g, we prove that there is a Cantor set of positive finite $H^g$-measure, $P^g$-measure, and $P^g_0$-premeasure. Also, we show that every compact metric space of infinite $P^g_0$-premeasure has a compact countable subset of infinite $P^g_0$-premeasure. In addition, we obtain a class of uniform Cantor sets and prove that, for every set E in this class, there exists a countable set F, with $\bar{F}=E{\cup}F$, and a doubling gauge g such that $E{\cup}F$ has different positive finite $P^g$-measure and $P^g_0$-premeasure.

• Bulletin of the Korean Mathematical Society
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• 제34권1호
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• pp.1-8
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• 1997

Let G be a finiteg oroup. We denote BG a classifying space of G, which a contractible universal principal G bundle EG. The stable type of BG does not determine G up to isomorphism. A simple example [due to N. Minami]is given by $Q_{4p} \times Z/2$ and $D_{2p} \times Z/4$ where ps is an odd prime, $Q_{4p} is the generalized quarternion group of order 4p and $D_{2p}$ is the dihedral group of order 2p. However the paper [6] gives us a necessary and sufficient condition for $BG_1$ and $BG_2$ to be stably equivalent localized et pp. The local stable type of BG depends on the conjegacy classes of homomorphisms from the p-groups Q into G. This classification theorem simplifies if G has a normal sylow p-subgroup. Then the stable homotopy type depends on the Weyl group of the sylow p-subgroup.

• The Korean Journal of Food And Nutrition
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• 제19권4호
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• pp.473-481
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• 2006

This study was carried out to investigate the properties of cucumber kimchi prepared with different minor ingredients(potato, puchu). Acidity, pH, color value, hardness, and lactic acid bacteria were measured under the condition of $10^{\circ}C$ for 25 days. Five conditions of making cucumber kimchi included: cucumber kimchi with puchu 300g(treatment 1, control), cucumber kimchi with potato 90g, puchu 210 g(treatment 2, 5-1), cucumber kimchi with potato 150g, puchu 150 g(treatment 3, S-2), cucumber kimchi with potato 210g, puchu 90 g(treatment 4, S-3), cucumber kimchi with potato 270g, puchu 30g(treatment 5, S-4). Hardness of cucumber kimchi appeared higher values as the potatoe's volume increased(S-1, S-2, S-3, S-4), during all fermentation days. The results showed very significant values in pH(p<0.001), acidity(p<0.001), 'L' of lightness(p<0.05), hardness(p<0.001), lactic acid bacteria(p<0.001) according to fermentation. And the results showed very significant values in 'a' of redness(p<0.01), hardness(p<0.001) according to cucumber kimchi samples. These results showed that fermentation patterns of cucumber kimchi were influenced by the different minor ingredients used.

• Food Science of Animal Resources
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• 제43권1호
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• pp.101-112
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• 2023

This study aimed to assess whether genomic DNA (gDNA) extracted from Pediococcus acidilactici inhibits Porphyromonas gingivalis lipopolysaccharide (LPS)-induced inflammatory responses in RAW 264.7 cells. Pretreatment with gDNA of P. acidilactici K10 or P. acidilactici HW01 for 15 h effectively inhibited P. gingivalis LPS-induced mRNA expression of interleukin (IL)-1β, IL-6, and monocyte chemoattractant protein (MCP)-1. Although both gDNAs did not dose-dependently inhibit P. gingivalis LPS-induced mRNA expression of IL-6 and MCP-1, they inhibited IL-1β mRNA expression in a dose-dependent manner. Moreover, pretreatment with both gDNAs inhibited the secretion of IL-1β, IL-6, and MCP-1. When RAW 264.7 cells were stimulated with P. gingivalis LPS alone, the phosphorylation of mitogen-activated protein kinases (MAPKs) was increased. However, the phosphorylation of MAPKs was reduced in the presence of gDNAs. Furthermore, both gDNAs restored IκBα degradation induced by P. gingivalis LPS, indicating that both gDNAs suppressed the activation of nuclear factor-κB (NF-κB). In summary, P. acidilactici gDNA could inhibit P. gingivalis LPS-induced inflammatory responses through the suppression of MAPKs and NF-κB, suggesting that P. acidilactici gDNA could be effective in preventing periodontitis.

• Journal of Animal Science and Technology
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• 제53권5호
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• pp.489-496
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• 2011

This study was carried out to investigate the effects of stocking density on the eating and ruminating behavior of growing Hanwoo steer (Bos taurus coreanae). A total of thirty growing Hanwoo steers were divided into four stocking density groups (G1: 1 head/32 $m^2$, G2: 2 heads/32 $m^2$, G3: 3 heads /32 $m^2$, G4: 4 heads/32 $m^2$) with 3 replicates (12 pens). The results of eating behaviors for 48 hours are summarized as follows: Total intake was higher in 2G, 3G and 4G than in 1G, but not significantly different among thetreatments. Intake of roughage was the highest in 2G (3.32 kg), while 1G (2.85 kg) was the lowest (P<0.05). Eating time of concentrate was highly in the order of 1G > 2G > 3G > 4G (P<0.05). But eating time (concentrate + roughage) and ruminating time were not significantly difference among the treatments. Resting time (standing + lying) was the highest in 4G (P<0.01), and lying time was the highest in 2G. Chewing time (Eating + ruminating) was higher in 3G than in 1G, 2G, and 4G (P<0.05). Number of bolus, number of total chews, ruminating time per bolus and number of bolus per minute were not significantly difference among the treatments. But number of chews per bolus was significantly lower in 1G than those of the other treatments (p<(0.05). Number of urinating was in the order of 1G > 4G > 2G > 3G (P<0.05). However, stocking density had no effect on drinking and defecating. Eating rate and chewing efficiency were the highest in 4G (P<0.01, 0.05), but ruminating efficiency was not significantly difference among the treatments.

• The korean journal of orthodontics
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• 제26권5호
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• pp.509-522
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• 1996

By studying the relationship between the morphology of mandibular symphysis and craniofacial morphology in classIII malocclusion, this study aims at deciding whether the morphogy of mandibular symphysis can be used as a predictor on the growth of mandible. The materials used for this study were the cephalometric radiographs of male class III malocclusion. The subjected age groups were 10-12(G1 group) and 20 and above(G2 group): 50 were selected from each group. Each group was again divided, according to the ratio of symphysis, into Large(L), Average(A), and Small(S). The results of this study were summarized as follows: 1. In average the ratio of symphysis, G2 group showed significantly bigger than G1 group(p<0.05) 2. In both G1 and G2 groups, the ratio of symphysis had no relationship with the measurements on the cranial base and the maxilla(p>0.05). 3. In both G1 and G2 groups, there was not distinct difference in the antero-posterior positions among L, A, S subgroups. 4. L and A subgroups showed significantly larger than S subgroup in lower gonial angle and chin angle in G1 group (p<0.05). 5. In the measurements on the vortical relation of the face, anterior total face height(ATFH) and anterior lower face height(ALFH) of L subgroup were significantly larger than that of S subgroup in G1 group(p<0.05) and also mandible showed a tendency to grow downward vertically. 6. In the measurements on the tooth position and inclination, L subgroup showed as compared with S subgroup a tendency of extrusion of maxillary and mandibular teeth in G1 group, but G2 group showed such tendency only in mandibular teeth. 7. In the measurements on the abnormal growth prediction by Schulhof, in G1, there was no significant difference among L, A, S sugroups. 8. In the correlative analysis of the ratio of symphysis and other measurements, G1 group showed significant correlationships in chin angle, PP/MP angie, ANS-Me and other, while G2 group showed the same only in MP-LIT and MP-LMMC(p<0.05, p<0.01). In summarizing the above, in the G1 group, consisting of young males, no difference was noted in horizontal relation between L and S subgroups; in vertical relation, L subgroup showed a stronger tendency of downward growth of mandible than S subgroup. In adult male G2 group, however, no distinct morphological difference of craniofacial complex by the ratio of symphysis.

• Kyungpook Mathematical Journal
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• 제63권2호
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• pp.167-173
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• 2023

Let G be a finite group and let ν(G) be the probability that two randomly selected elements of G produce a nilpotent group. In this article we show that for every positive integer n > 0, there is a finite group G such that ${\nu}(G)={\frac{1}{n}}$. We also classify all groups G with ${\nu}(G)={\frac{1}{2}}$. Further, we prove that if G is a solvable nonnilpotent group of even order, then ${\nu}(G){\leq}{\frac{p+3}{4p}}$, where p is the smallest odd prime divisor of |G|, and that equality exists if and only if $\frac{G}{Z_{\infty}(G)}$ is isomorphic to the dihedral group of order 2p where Z_∞(G) is the hypercenter of G. Finally we find an upper bound for ν(G) in terms of |G| where G ranges over all groups of odd square-free order.

• Honam Mathematical Journal
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• 제39권2호
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• pp.247-258
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• 2017

For a quadrilateral P, we consider the centroid $G_0$ of the vertices of P, the perimeter centroid $G_1$ of the edges of P and the centroid $G_2$ of the interior of P, respectively. It is well known that P satisfies $G_0=G_1$ or $G_0=G_2$ if and only if it is a parallelogram. In this note, we investigate various quadrilaterals satisfying $G_1=G_2$. As a result, for example, we show that among circumscribed quadrilaterals kites are the only ones satisfying $G_1=G_2$. Furthermore, such kites are completely classified.

• Korean Journal of English Language and Linguistics
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• 제3권3호
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• pp.427-452
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• 2003

Korean is famous for having all voiceless stop sounds. Korean does have voiced stops but they are considered to exist only as the allophones of word initial /p, t, k/. My experiment shows the English word initial stop sounds [b, d, g] and the Korean lax stop series /p, t, k/ in word initial position are similar in the range of voice onset time. If English word initial[b, d, g] sounds are posited as voiced, then Korean word initial /p, t, k/ should be classified as voiced also. Phonetically English /b, d, g/ phonemes and Korean /p, t, k/ phonemes are very similar except the word initial [p, t, k] are devoiced slightly more, but not significant enough to be classified as voiceless than English word initial [b, d, g]. If we posit /b, d, g/ as Korean phonemes, it explains why Korean /p, t, k/ series has the allophones [b, d, g] instead of fortis stops /p', t', k'/ in Korean even though /p', t', k'/ has less positive VOT value than /p, t, k/. If we posit /b, d, g/ as Korean phonemes, then it does not cause spelling or pronunciation confusion either when Koreans learn English or English speakers learn Korean.