• Title/Summary/Keyword: P/U

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MULTIPLE SOLUTIONS TO DISCRETE BOUNDARY VALUE PROBLEMS FOR THE p-LAPLACIAN WITH POTENTIAL TERMS ON FINITE GRAPHS

  • CHUNG, SOON-YEONG;PARK, JEA-HYUN
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.5
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    • pp.1517-1533
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    • 2015
  • In this paper, we prove the existence of at least three nontrivial solutions to nonlinear discrete boundary value problems $$\{^{-{\Delta}_{p,{\omega}}u(x)+V(x){\mid}u(x){\mid}^{q-2}u(x)=f(x,u(x)),x{\in}S,}_{u(x)=0,\;x{\in}{\partial}S}$$, involving the discrete p-Laplacian on simple, nite and connected graphs $\bar{S}(S{\cup}{\partial}S,E)$ with weight ${\omega}$, where 1 < q < p < ${\infty}$. The approach is based on a suitable combine of variational and truncations methods.

Evaluating anchorage loss in upper incisors during distalization of maxillary posterior teeth using clear aligners in adult patients: A prospective randomized study

  • Zehra Yurdakul;Nurver Karsli
    • The korean journal of orthodontics
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    • v.54 no.2
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    • pp.117-127
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    • 2024
  • Objective: To evaluate the effect of clear aligner treatment and differential sequence distalization of maxillary posterior teeth on anchorage loss in the upper incisors (U1s). Methods: This study used lateral cephalometries and digital models of 12 patients treated with 33% sequential distalization (group 1, mean age: 22.9 ± 0.7 years, five males, seven females) and 12 treated with 50% sequential distalization (group 2, mean age: 25.83 ± 0.5 years, three males, nine females) acquired before and after distalization of upper second premolars (U5) and upper first molars (U6) and upper second molars (U7). The amount of distalization was determined as 2.5 mm in both the groups. Independent Samples t test was used to compare normally distributed parameters. Mann-Whitney U and Wilcoxon tests were used to compare parameters that were not normally distributed. Results: In both groups, the posterior teeth significantly moved by tipping distally and the U1s were displaced anteriorly. Increase in maxillary posterior transverse width (P < 0.001) and distopalatal rotation were observed in U5, U6, and U7 after distalization. It was also observed that U1 was significantly more proclined (1.82°; P < 0.001) and protruded (0.62 mm; P < 0.001), and the overjet (0.45 mm; P < 0.001) increased more in group 1 than in group 2. Conclusions: After sequential distalization of maxillary posterior teeth, more anchorage loss was observed in the anterior region in group 1 than in group 2.

EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR KIRCHHOFF-SCHRÖDINGER-POISSON SYSTEM WITH CONCAVE AND CONVEX NONLINEARITIES

  • Che, Guofeng;Chen, Haibo
    • Journal of the Korean Mathematical Society
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    • v.57 no.6
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    • pp.1551-1571
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    • 2020
  • This paper is concerned with the following Kirchhoff-Schrödinger-Poisson system $$\begin{cases} -(a+b{\displaystyle\smashmargin{2}\int\nolimits_{\mathbb{R}^3}}{\mid}{\nabla}u{\mid}^2dx){\Delta}u+V(x)u+{\mu}{\phi}u={\lambda}f(x){\mid}u{\mid}^{p-2}u+g(x){\mid}u{\mid}^{p-2}u,&{\text{ in }}{\mathbb{R}}^3,\\-{\Delta}{\phi}={\mu}{\mid}u{\mid}^2,&{\text{ in }}{\mathbb{R}}^3, \end{cases}$$ where a > 0, b, µ ≥ 0, p ∈ (1, 2), q ∈ [4, 6) and λ > 0 is a parameter. Under some suitable assumptions on V (x), f(x) and g(x), we prove that the above system has at least two different nontrivial solutions via the Ekeland's variational principle and the Mountain Pass Theorem in critical point theory. Some recent results from the literature are improved and extended.

Effect of Thiol Compounds and Antioxidants on In Vitro Development and Intracellular Glutathione Concentrations of Bovine Embryos Derived from In Vitro Matured and In Vitro Fertilized II. Effect of Antioxidants with Somatic Cells on Development and Intracellular Glutathione Concentrations of Bovine IVM/IVF Embryos (Thiol 화합물과 항산화제 첨가배양이 소 체외수정란의 체외발육과 세포내 Glutathione 농도 변화에 미치는 효과 II. 항산화제 첨가와 체세포 공동배양이 소 체외수정란의 체외발육과 세포내 Glutathione 농도 변화에 미치는 영향)

  • 양부근;박동헌;우문수;정희태;박춘근;김종복;김정익
    • Korean Journal of Animal Reproduction
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    • v.21 no.4
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    • pp.345-353
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    • 1997
  • Antioxidants and antioxidants with somatic cell co-culture, bovine oviduct epithelial cells(BOEC) and buffalo rat liver cells(BRLC), were studied as a mean of increasing the development and intracellular glutathione(GSH) concnetrations of bovine embryos derived from in vitro matured(IVM) and in vitro fertilized(IVF) oocytes. Cell numbers and intracellular GSH concentrations of blastocysts were also counted. The developmental rate beyond morula stages in CRlaa containing taurine(2.5mM), superoxide dismutase(SOD, 600U) and catalase(250U) were 1%, 75.0%, 64.8% and 62.3%, respectively. The developmental rate in antioxidant groups was significantly higher than in control(P<0.05). The intracellular GSH concentrations of blastocysts cultured in 0, 2.5mM taurine, 600U SOD and 250U catalase were 33.8pM, 39.3pM, 42.3pM and 54.8pM, respectively. This result indicated that the developmental rates and intracellular GSH concentrations of catalase group was significantly higher than any other groups(P<0.05). The developmental capacity in CRlaa plus various antioxidants co-cultured with BOEC were 55.3%(control), 74.1%(2.5mM taurine), 66.7%(600U SOD) and 70.7%(250U catalase) and in CRlaa plus various antioxidants co-cultured with BRLC in control, 2.5mM taurine, 600U SOD and 250U catalase were 63.8%, 75.5%, 71.0% and 73.5%, respectveily, the intracellular GSH concentrations of blastocyst embryos co-cultured with BOEC and BRLC in CRlaa with 0.25mM taurine, 600U SOD and 250U catalase were 73.4pM and 64.4pM, 79.9pM and 67.5pM, 82.3pM and 71.7pM, and 83.0pM and 80.0pM, respectively. Cell numbers of blastocysts were not difference in all experimental groups. These studies indicate that andtioxidants and antioxidant with somatic cell co-culture can increase the proportion of embryo that developed into morula and blastocysts, and the intracellular GSH concentrations of blastocyst embryos.

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A Study on Sexual Attitude, Autonomy and Harassment Experience of College Students (대학생의 성 태도, 성적 자율성 및 성희롱 경험에 관한 연구)

  • Kim, Soon-Gu
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.3
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    • pp.223-231
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    • 2017
  • The purpose of this study was to determine the relationships among sexual attitudes, autonomy, and harassment experience and to find out how each factor affects the sexual attitudes of college students. The subjects were 236 college students in D city. The data were collected from September 3 - 8, in 2015 using a structured questionnaire. The data were analyzed using the SPSS WIN 18.0 program. For data analysis, a Mann-Whitney U-test, Kruskal-Wallis test, Pearson's correlation coefficients, and multiple regression analysis were carried out. The results are as follows. First, the average scores of sexual attitude, sexual autonomy, and sexual harassment experience were 4.01, 1.95, and 0.95 points, respectively. Second, the individual characteristics in sexual attitude were significantly different in gender (U=2124.50, p=0.000) and department (U=5741.00, p=0.026), sexual autonomy were considerably different in gender (U=2529.50, p=0.001) and satisfaction with personal relationships ($X^2=9.46$, p=0.009), and sexual harassment experience were significantly different in the department (U=5604.00, p=0.007). Third, a positive relationship was observed between the sexual attitudes and sexual autonomy (r=0.517, p<0.01). Sexual autonomy was found to influence the sexual attitudes (${\beta}=0.46$, p<.001). These results highlight the need to develop sex education programs in various situations for college students and that sex education should be implemented constantly.

A VERY SINGULAR SOLUTION OF A DOUBLY DEGENERATE PARABOLIC EQUATION WITH NONLINEAR CONVECTION

  • Fang, Zhong Bo
    • Journal of the Korean Mathematical Society
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    • v.47 no.4
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    • pp.789-804
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    • 2010
  • We here investigate an existence and uniqueness of the nontrivial, nonnegative solution of a nonlinear ordinary differential equation: $$[\mid(w^m)]'\mid^{p-2}(w^m)']'\;+\;{\beta}rw'\;+\;{\alpha}w\;+\;(w^q)'\;=\;0$$ satisfying a specific decay rate: $lim_{r\rightarrow\infty}\;r^{\alpha/\beta}w(r)$ = 0 with $\alpha$ := (p - 1)/[pd-(m+1)(p-1)] and $\beta$:= [q-m(p-1)]/[pd-(m+1)(p-1)]. Here m(p-1) > 1 and m(p - 1) < q < (m+1)(p-1). Such a solution arises naturally when we study a very singular solution for a doubly degenerate equation with nonlinear convection: $$u_t\;=\;[\mid(u^m)_x\mid^{p-2}(u^m)_x]_x\;+\;(u^q)x$$ defined on the half line.

Efficient Recovery of Lignocellulolytic Enzymes of Spent Mushroom Compost from Oyster Mushrooms, Pleurotus spp., and Potential Use in Dye Decolorization

  • Lim, Seon-Hwa;Lee, Yun-Hae;Kang, Hee-Wan
    • Mycobiology
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    • v.41 no.4
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    • pp.214-220
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    • 2013
  • This study was conducted in order to perform efficient extraction of lignocellulolytic enzymes amylase (EC 3.2.1.1), cellulase (EC 3.2.1.4), laccase (EC 1.10.3.2), and xylanase (EC 3.2.1.8) from spent mushroom compost (SMC) of Pleurotus ostreatus, P. eryngii, and P. cornucopiae. Optimal enzyme recovery was achieved when SMCs were extracted with 50 mM sodium citrate (pH 4.5) buffer at $4^{\circ}C$ for 2 hr. Amylase, cellulase, and xylanase activities showed high values in extracts from P. ostreatus SMC, with 2.97 U/g, 1.67 U/g, and 91.56 U/g, respectively, whereas laccase activity and filter paper degradation ability were highest in extracts from P. eryngii SMC, with values of 9.01 U/g and 0.21 U/g, respectively. Enzymatic activities varied according to the SMCs released from different mushroom farms. The synthetic dyes remazol brilliant blue R and Congo red were decolorized completely by the SMC extract of P. eryngii within 120 min, and the decolorization ability of the extract was comparable to that of 0.3 U of commercial laccase. In addition, laccase activity of the SMC extract from P. eryngii was compared to that of commercial enzymes or its industrial application in decolorization.

REGULARITY OF NONLINEAR VECTOR VALUED VARIATIONAL INEQUALITIES

  • Kim, Do-Wan
    • Journal of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.565-577
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    • 2000
  • We consider regularity questions arising in the degenerate elliptic vector valued variational inequalities -div(|▽u|p-2∇u)$\geq$b(x, u, ∇u) with p$\in$(1, $\infty$). It is a generalization of the scalar valued inequalities, i.e., the obstacle problem. We obtain the C1,$\alpha$loc regularity for the solution u under a controllable growth condition of b(x, u, ∇u).

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THE DIMENSION OF THE CONVOLUTION OF BIPARTITE ORDERED SETS

  • Bae, Deok-Rak
    • Journal of the Korean Mathematical Society
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    • v.36 no.3
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    • pp.633-648
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    • 1999
  • In this paper, for any two bipartite ordered sets P and Q, we define the convolution P * Q of P and Q. For dim(P)=s and dim(Q)=t, we prove that s+t-(U+V)-2 dim(P*Q) s+t-(U+V)+2, where U+V is the max-mn integer of the certain realizers. In particular, we also prove that dim(P)=n+k- {{{{ { n+k} over {3 } }}}} for 2 k n<2k and dim(Pn ,k)=n for n 2k, where Pn,k=Sn*Sk is the convolution of two standard ordered sets Sn and Sk.

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Association of Neutrophil Gelatinase associated Lipocalin and Leukocyte Differential Count in Children with Febrile Urinary Tract Infections

  • Jang, Ji Won;Yim, Hyung Eun;Yoo, Kee Hwan
    • Childhood Kidney Diseases
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    • v.24 no.2
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    • pp.83-90
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    • 2020
  • Purpose: To investigate the association between urinary neutrophil gelatinase-associated lipocalin (uNGAL) and leukocyte differential count in children with urinary tract infections (UTIs). Methods: A retrospective chart review was performed in children undergoing uNGAL measurements between June 2018 and September 2019. Patients with suspected or diagnosed UTIs were included. The relationship between uNGAL and blood leukocyte differential count was investigated in children. Results: A total of 197 children were included in this study, 119 of whom (60%) had UTIs. The non-UTI patients (n=78) were diagnosed with pneumonia, acute gastroenteritis, viral upper respiratory infection, and others. After adjusting for age, gender, and fever duration, the leukocyte count, monocyte count, and uNGAL levels were higher in the UTI group than in the non-UTI group (P<0.05). uNGAL showed positive correlations with neutrophil counts, monocyte counts, the neutrophil-to-lymphocyte ratio, and the monocyte-to-lymphocyte ratio in the UTI group (P<0.05). uNGAL levels were only associated with the neutrophil-to-lymphocyte ratio in the non-UTI group (P<0.05). In a multivariable logistic regression analysis, only uNGAL was associated with the presence of UTI (P<0.05). The area under the receiver operating characteristic curves for uNGAL and monocyte counts to identify UTI were 0.89 (95% confidence interval (CI): 0.824-0.939; P=0.025) and 0.7 (95% CI: 0.627-0.774; P=0.038), respectively. Conclusions: In children with UTIs, uNGAL levels may be associated with blood leukocyte differential counts. uNGAL measurements and monocyte counts can be helpful in children with suspected UTIs.