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APPROXIMATE CONVEXITY WITH RESPECT TO INTEGRAL ARITHMETIC MEAN

  • Zoldak, Marek
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.6
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    • pp.1829-1839
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    • 2014
  • Let (${\Omega}$, $\mathcal{S}$, ${\mu}$) be a probabilistic measure space, ${\varepsilon}{\in}\mathbb{R}$, ${\delta}{\geq}0$, p > 0 be given numbers and let $P{\subset}\mathbb{R}$ be an open interval. We consider a class of functions $f:P{\rightarrow}\mathbb{R}$, satisfying the inequality $$f(EX){\leq}E(f{\circ}X)+{\varepsilon}E({\mid}X-EX{\mid}^p)+{\delta}$$ for each $\mathcal{S}$-measurable simple function $X:{\Omega}{\rightarrow}P$. We show that if additionally the set of values of ${\mu}$ is equal to [0, 1] then $f:P{\rightarrow}\mathbb{R}$ satisfies the above condition if and only if $$f(tx+(1-t)y){\leq}tf(x)+(1-t)f(y)+{\varepsilon}[(1-t)^pt+t^p(1-t)]{\mid}x-y{\mid}^p+{\delta}$$ for $x,y{\in}P$, $t{\in}[0,1]$. We also prove some basic properties of such functions, e.g. the existence of subdifferentials, Hermite-Hadamard inequality.

p53, Cyclin D1, p21 (WAF1) and Ki-67 (MIB1) Expression at Invasive Tumour Fronts of Oral Squamous Cell Carcinomas and Development of Local Recurrence

  • Sawair, F;Hassona, Y;Irwin, C;Stephenson, M;Hamilton, P;Maxwell, P;Gordon, D;Leonard, A;Napier, S
    • Asian Pacific Journal of Cancer Prevention
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    • v.17 no.3
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    • pp.1243-1249
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    • 2016
  • Background: Expression of p53, cyclin D1, p21 (WAF1) and Ki-67 (MIB1) was evaluated in oral squamous cell carcinoma (OSCC) to test whether levels of these markers at invasive tumour fronts (ITFs) could predict the development of local recurrence. Materials and Methods: Archived paraffin-embedded specimens from 51 patients with T1/T2 tumours were stained immunohistochemically and analysed quantitatively. Local recurrence-free survival was tested with Kaplan-Meier survival plots (log-rank test) using median values to define low and high expression groups and with a Cox's proportional hazards model in which the expression scores were entered as continuous variables. Results: The assessment of expression of all markers was highly reliable, univariate analysis showing that patients with clear surgical margins, with low cyclin D1 and high p21 expression at the ITF had the best local recurrence-free survival. Multivariate analysis showed that these three parameters were independent prognostic factors but that neither p53 nor MIB1 expression were of prognostic value. Conclusions: Assessment of p53, cyclin D1, p21 (WAF1), and Ki-67 (MIB1) at the ITF could help to predict local recurrence in early stage oral squamous cell carcinoma cases.

The Line n-sigraph of a Symmetric n-sigraph-V

  • Reddy, P. Siva Kota;Nagaraja, K.M.;Geetha, M.C.
    • Kyungpook Mathematical Journal
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    • v.54 no.1
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    • pp.95-101
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    • 2014
  • An n-tuple ($a_1,a_2,{\ldots},a_n$) is symmetric, if $a_k$ = $a_{n-k+1}$, $1{\leq}k{\leq}n$. Let $H_n$ = {$(a_1,a_2,{\ldots},a_n)$ ; $a_k$ ${\in}$ {+,-}, $a_k$ = $a_{n-k+1}$, $1{\leq}k{\leq}n$} be the set of all symmetric n-tuples. A symmetric n-sigraph (symmetric n-marked graph) is an ordered pair $S_n$ = (G,${\sigma}$) ($S_n$ = (G,${\mu}$)), where G = (V,E) is a graph called the underlying graph of $S_n$ and ${\sigma}$:E ${\rightarrow}H_n({\mu}:V{\rightarrow}H_n)$ is a function. The restricted super line graph of index r of a graph G, denoted by $\mathcal{R}\mathcal{L}_r$(G). The vertices of $\mathcal{R}\mathcal{L}_r$(G) are the r-subsets of E(G) and two vertices P = ${p_1,p_2,{\ldots},p_r}$ and Q = ${q_1,q_2,{\ldots},q_r}$ are adjacent if there exists exactly one pair of edges, say $p_i$ and $q_j$, where $1{\leq}i$, $j{\leq}r$, that are adjacent edges in G. Analogously, one can define the restricted super line symmetric n-sigraph of index r of a symmetric n-sigraph $S_n$ = (G,${\sigma}$) as a symmetric n-sigraph $\mathcal{R}\mathcal{L}_r$($S_n$) = ($\mathcal{R}\mathcal{L}_r(G)$, ${\sigma}$'), where $\mathcal{R}\mathcal{L}_r(G)$ is the underlying graph of $\mathcal{R}\mathcal{L}_r(S_n)$, where for any edge PQ in $\mathcal{R}\mathcal{L}_r(S_n)$, ${\sigma}^{\prime}(PQ)$=${\sigma}(P){\sigma}(Q)$. It is shown that for any symmetric n-sigraph $S_n$, its $\mathcal{R}\mathcal{L}_r(S_n)$ is i-balanced and we offer a structural characterization of super line symmetric n-sigraphs of index r. Further, we characterize symmetric n-sigraphs $S_n$ for which $\mathcal{R}\mathcal{L}_r(S_n)$~$\mathcal{L}_r(S_n)$ and $$\mathcal{R}\mathcal{L}_r(S_n){\sim_=}\mathcal{L}_r(S_n)$$, where ~ and $$\sim_=$$ denotes switching equivalence and isomorphism and $\mathcal{R}\mathcal{L}_r(S_n)$ and $\mathcal{L}_r(S_n)$ are denotes the restricted super line symmetric n-sigraph of index r and super line symmetric n-sigraph of index r of $S_n$ respectively.

Using Varying Levels of Formic Acid to Limit Growth of Salmonella gallinarum in Contaminated Broiler Feed

  • Al-Natour, Mohammad Q.;Alshawabkeh, Khalil M.
    • Asian-Australasian Journal of Animal Sciences
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    • v.18 no.3
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    • pp.390-395
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    • 2005
  • Reported here are the effects of added formic acid on inhibitory effect of Salmonella gallinarum in poultry feed. Two experiments were conducted to investigate the viability of S. gallinarum and pH of poultry feed using different dietary formic acid levels (0.0, 0.5, 1.0 and 1.5%) on inhibitory effect of S. gallinarum in broiler feed. Experiment one was conducted to investigate the viability of S. gallinarum and pH of artificially contaminated diet at 0, 1, 3, 5 and 7 days after treatment in vitro. Formic acid showed a significant (p<0.05) reduction in the viability for all treatments with time after treatment. Various formic acid levels in vitro showed a reduction in the pH of the diet depending upon the concentration of treated acid, and the diet remained acidic below the growth range of S. gallinarum. This meant that the bacterial cells were exposed to stressful conditions that made them unable to grow. Experiment two was conducted to find out the effect of dietary formic acid levels on S. gallinarum colonization and pH in the contents of crop, small intestine, large intestine and ceca and mortality rate of broiler chicks at 7, 14 and 21 days of age when fed artificially contaminated diet with S. gallinarum. The numbers of S. gallinarum re-isolated from all treated groups except in groups treated with 0.5% formic acid, decreased significantly (p<0.05) compared with the control group. The treatment significantly (p<0.05) lowered the pH of the crop, small intestine, large intestine and ceca contents in all groups except the groups treated with 0.5% formic acid compared with the control. All treated groups showed a significant (p<0.05) reduction in overall mortality rate during the experimental period (3 to 21 days) compared with the control. The results indicate that addition of formic acid in a total concentration of 1.5% to the diet of newly hatched broiler chicks significantly decreases the contamination of diet with S. gallinarum.

In Vitro Expression and Antibody Preparation of Rice black-streaked dwarf virus Coat Protein Gene (벼검은줄오갈병바이러스 외피단백질 유전자 단백질 발현과 항혈청 제작)

  • Lee, Bong Choon;Cho, Sang-Yun;Bae, Ju Young;Kim, Sang Min;Shin, Dong Bum;Kim, Sun Lim
    • Research in Plant Disease
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    • v.22 no.1
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    • pp.32-37
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    • 2016
  • In this work, major outer capsid protein (P10) encoded by genome segment S10 of Rice black-streaked dwarf virus (RBSDV) was expressed in Escherichia coli. Genomic dsRNA was extracted from RBSDV-miryang isolate infected rice plants. Based on the sequence of S10 (RBSDV-miryang, GenBank JX994211), a pair of S10 specific primers were designed and used to amplify the fragment encoding the N-part of P10. We amplified the partial gene (S10 1-834 nt) of RBSDV P10 (1-278 aa) by RT-PCR. Amplified RBSDV S10 (1-834 nt) was cloned into the expression vector pET32a (+). Recombinant RBSDV S10 (1-834 nt) was expressed in E. coli BL21(DE3) and purified by nickel-nitrilotriacetic acid (Ni-NTA) affinity column. We successfully obtained P10 partial protein of RBSDV and the purified protein was used to immunize rabbits. The resulting polyclonal antiserum specifically recognized RBSDV from infected plant in both Western blotting and enzyme-linked immunosorbent assay. In this study, we provide purified RBSDV P10 (1-278 aa), which would be good material for the serological study of RBSDV-miryang isolates.

Experimental Evaluation of pNFS Protocol for Mass Storage System (대용량 스토리지 시스템을 위한 pNFS 프로토콜의 성능 평가)

  • Kim, Tae-Jin;Kim, Han-Gyoo;Noh, Sam-H.
    • Proceedings of the Korean Information Science Society Conference
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    • 2012.06a
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    • pp.221-223
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    • 2012
  • 많은 대학과 스토리지 업체에서 고성능 병렬 파일시스템 관련 연구를 활발히 진행하고 있다. 그러나 대학이나 업체에서 연구된 병렬 파일시스템 기술은 상호 호환성에 제약이 있다. 네트워크 파일시스템 관련해서 유일한 표준 기술인 NFS은 최근 pNFS 기능을 포함한 NFSv4.1로 확장되었다. pNFS은 NFS 서버를 거치지 않고 데이터를 병렬적으로 접근함으로써 고성능 입출력을 보장해 주고 있으며 기존 스토리지 기술과의 호환성을 제공하고 있다. 본 연구에서는 pNFS의 성능 평가를 위해서 pNFS을 사용하는 대용량 스토리지 시스템을 구현하고 NFSv4와 NFSv4.1간 성능을 비교한다. 성능 비교는 파일 사이즈와 동시 수행 프로세스 수 별로 수행되며 읽기 및 쓰기 연산에 대한 pNFS의 성능 향상을 확인한다.

lsolation of A Moderately Alkaline Pullulanase-Producing Bacillus sp. S-1 and Enzyme Characterization (알칼리성 플루라나제를 생산하는 세균 Bacillus sp. S-1의 분리와 효소특성에 관한 연구)

  • Lee, Moon-Jo;Shim, Jae-Kyoung;Park, Jin-Woo;Kim, Dong-Soo;Kim, Cheorl-Ho
    • Journal of Life Science
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    • v.7 no.2
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    • pp.95-106
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    • 1997
  • The moderately alkalophilic bacterium, identified as Bacillus sp. S-1 , was isolated from soils and effectively secrete extracellular pullulanase. The isolate was moderately alkalophilic since enzyme production occurred at pHs from 6.0 to 10.0. Extracellular crude enzymes of the isolate gave maltotriose as the major product from soluble starch and pullulan hydrolysis. Compared to other alkalophilic microbes, this isolate secreted extremely high concentration(7.0 units/ml) of pullulanase. The purified pullulanase was moderately alkalophilic and thermoactive; optimal activity was detected at pH 8.0-10.0 and between 50-60$^{\circ}$C. Even at pH 12.0, 10% of S-1 pulluanase activity remained and the strain had broad pH ranges and moderate thermo-stability for their enzyme activities. These results indicate that the new isolate have potential as producer of pullulanase for use in the starch industry.

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Effect of Nutrient Solution Strength on pH of Drainage Solution and Root Activity of Strawberry 'Sulhyang' in Hydroponics (배양액의 농도가 배액의 pH와 딸기 '설향' 뿌리의 활성에 미치는 영향)

  • Jun, Ha-Joon;Byun, Mi-Soon;Liu, Shi Sheng;Jang, Mi-Soon
    • Horticultural Science & Technology
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    • v.29 no.1
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    • pp.23-28
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    • 2011
  • Experiments were conducted to investigate the optimum concentration of the nutrient solution in strawberry 'Sulhyang' with hydroponics in relationship between root activity and nutrient concentrations. Nutrient solutions for strawberry, made by Yamazaki, were supplied EC 0.5, 1.0, 2.0 $dS{\cdot}m^{-1}$ during experiment period. Growth of shoot and root of strawberries grown in visible plastic pot was observed during experiment. Petiole length was longest in plants grown in EC 1.0 $dS{\cdot}m^{-1}$, followed by 2.0 and 0.5 $dS{\cdot}m^{-1}$. Leaf width was longest in plants grown in EC 1.0 $dS{\cdot}m^{-1}$, followed by 0.5 and 2.0 $dS{\cdot}m^{-1}$. Fruit length, fruit diameter, fruit weight and yield were higher in EC 0.5 and 1.0 $dS{\cdot}m^{-1}$ than 2.0 $dS{\cdot}m^{-1}$ treatment but, soluble solids of the fruit did not show statistical differences among treatments. Shoot dry weight was heaviest in EC 1.0 $dS{\cdot}m^{-1}$, followed by 0.5 and 2.0 $dS{\cdot}m^{-1}$. Root dry weight was heavier in EC 0.5 and 1.0 $dS{\cdot}m^{-1}$ but significantly light in 2.0 $dS{\cdot}m^{-1}$. pH of the drainage solution was elevated in low nutrient concentration and lowered in high concentration. Also root activity was high in low nutrient concentration and low in high concentration. As a result, the optimum EC for strawberry 'Sulhyang' was EC 1.0 $dS{\cdot}m^{-1}$ in this experiment. It was confirmed that there was high relationship between root activity and pH of drainage solution. This result will be utilized as an indicator for strawberry hydroponics.

Identification of 1p36 deletion syndrome in patients with facial dysmorphism and developmental delay

  • Seo, Go Hun;Kim, Ja Hye;Cho, Ja Hyang;Kim, Gu-Hwan;Seo, Eul-Ju;Lee, Beom Hee;Choi, Jin-Ho;Yoo, Han-Wook
    • Clinical and Experimental Pediatrics
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    • v.59 no.1
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    • pp.16-23
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    • 2016
  • Purpose: The 1p36 deletion syndrome is a microdeletion syndrome characterized by developmental delays/intellectual disability, craniofacial dysmorphism, and other congenital anomalies. To date, many cases of this syndrome have been reported worldwide. However, cases with this syndrome have not been reported in Korean populations anywhere. This study was performed to report the clinical and molecular characteristics of five Korean patients with the 1p36 deletion syndrome. Methods: The clinical characteristics of the 5 patients were reviewed. Karyotyping and multiplex ligation-dependent probe amplification (MLPA) analyses were performed for genetic diagnoses. Results: All 5 patients had typical dysmorphic features including frontal bossing, flat right parietal bone, low-set ears, straight eyebrows, down-slanting palpebral fissure, hypotelorism, flat nasal roots, midface hypoplasia, pointed chins, small lips, and variable degrees of developmental delay. Each patient had multiple and variable anomalies such as a congenital heart defect including ventricular septal defect, atrial septal defect, and patent duct arteriosus, ventriculomegaly, cryptorchism, or hearing loss. Karyotyping revealed the 1p36 deletion in only 1 patient, although it was confirmed in all 5 patients by MLPA analyses. Conclusion: All the patients had the typical features of 1p36 deletion. These hallmarks can be used to identify other patients with this condition in their early years in order to provide more appropriate care.