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ON STEIN TRANSFORMATION IN SEMIDEFINITE LINEAR COMPLEMENTARITY PROBLEMS

  • Song, Yoon J.;Shin, Seon Ho
    • Journal of applied mathematics & informatics
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    • v.32 no.1_2
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    • pp.285-295
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    • 2014
  • In the setting of semidenite linear complementarity problems on $S^n$, we focus on the Stein Transformation $S_A(X)\;:=X-AXA^T$, and show that $S_A$ is (strictly) monotone if and only if ${\nu}_r(UAU^T{\circ}\;UAU^T)$(<)${\leq}1$, for all orthogonal matrices U where ${\circ}$ is the Hadamard product and ${\nu}_r$ is the real numerical radius. In particular, we show that if ${\rho}(A)$ < 1 and ${\nu}_r(UAU^T{\circ}\;UAU^T){\leq}1$, then SDLCP($S_A$, Q) has a unique solution for all $Q{\in}S^n$. In an attempt to characterize the GUS-property of a nonmonotone $S_A$, we give an instance of a nonnormal $2{\times}2$ matrix A such that SDLCP($S_A$, Q) has a unique solution for Q either a diagonal or a symmetric positive or negative semidenite matrix. We show that this particular $S_A$ has the $P^{\prime}_2$-property.

Current Status of Nuclear Waste Management (and Disposal) in the United States

  • McMahon, K.;Swift, P.;Nutt, M.;Birkholzer, J.;Boyle, W.;Gunter, T.;Larson, N.;MacKinnon, R.;Sorenson, K.
    • Journal of Nuclear Fuel Cycle and Waste Technology
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    • v.1 no.1
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    • pp.29-35
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    • 2013
  • The United States Department of Energy (US DOE) is conducting research and development (R&D) activities under the Used Fuel Disposition Campaign (UFDC) to support storage, transportation, and disposal of used nuclear fuel (UNF) and wastes generated by existing and future nuclear fuel cycles. R&D activities are ongoing at nine national laboratories, and are divided into storage, transportation and disposal. Storage R&D focuses on closing technical gaps related to extended storage of UNF. Transportation R&D focuses on ensuring transportability of UNF following extended storage, and addressing data gaps regarding nuclear fuel integrity, retrievability, and demonstration of subcriticality. Disposal R&D focuses on identifying geologic disposal options and addressing technical challenges for generic disposal concepts in mined repositories in salt, clay/shale, and granitic rocks, and deep borehole disposal. UFDC R&D goals include increasing confidence in the robustness of generic disposal concepts, reducing generic sources of uncertainty that may impact the viability of disposal concepts, and developing science and engineering tools to support the selection, characterization, and licensing of a repository. The US DOE has also initiated activities in the Nuclear Fuel Storage and Transportation (NFST) Planning Project to facilitate the development of an interim storage facility and to support transportation infrastructure in the near term.

STABILITY IN THE α-NORM FOR SOME STOCHASTIC PARTIAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS

  • Diop, Mamadou Abdoul;Ezzinbi, Khalil;Lo, Modou
    • Journal of the Korean Mathematical Society
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    • v.56 no.1
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    • pp.149-167
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    • 2019
  • In this work, we study the existence, uniqueness and stability in the ${\alpha}$-norm of solutions for some stochastic partial functional integrodifferential equations. We suppose that the linear part has an analytic resolvent operator in the sense given in Grimmer [8] and the nonlinear part satisfies a $H{\ddot{o}}lder$ type condition with respect to the ${\alpha}$-norm associated to the linear part. Firstly, we study the existence of the mild solutions. Secondly, we study the exponential stability in pth moment (p > 2). Our results are illustrated by an example. This work extends many previous results on stochastic partial functional differential equations.

Effects of Feeding Different Protein Supplements on Digestibility, Nitrogen Balance and Calcium and Phosphorus Utilization in Sheep

  • Viswanathan, T.V.;Fontenot, J.P.
    • Asian-Australasian Journal of Animal Sciences
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    • v.22 no.5
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    • pp.643-650
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    • 2009
  • Two metabolism trials were conducted with 24 wether lambs to investigate the effects of feeding crab meal and other protein supplements on N utilization, digestibility and Ca and P balance in sheep. The lambs (avg. BW, 25 kg) were randomly allotted to eight diets in each of two trials. The supplements were: i) none, negative control (NC); ii) soybean meal (SBM), control; iii) supplement based on industrial byproducts of both plant and animal origin (IPA); iv) experimental supplement based on byproducts of animal origin (ESA); v) hydrolyzed supplement No 4. (HESA); vi) commercial supplement based on animal protein (CS), $Pro-Lak^{(R)}$ vii) crab meal (CM); and viii) urea (U). The supplements supplied 33% of the total dietary N (CP, 9.8%; DM basis). Lambs fed the NC diet had lower (p<0.05) DM and OM digestibility. Lower (p<0.05) apparent absorption of N was recorded for the lambs fed the HESA and NC diets. Sheep fed CM had lower Ca absorption compared to SBM. Highest (p<0.05) P absorption was observed for lambs fed CS and CM and lowest for U and NC diets. Sheep fed CM had higher (p<0.05) total VFA concentration (65.7 ${\mu}mol/ml$), compared to those fed ESA, CS, and NC diets (47.3, 49.8, and 49.5 ${\mu}mol/ml$, respectively). Highest (p<0.05) ruminal $NH_3$ N (29.6 mg/dl) was observed in lambs fed the U diet, while those fed the NC diet had the lowest (p<0.05) average value (7.66 mg/dl). Lambs fed the U diet had the highest (p<0.05) blood urea N (10.67 mg/dl). The present study showed that N utilization of diets supplemented with experimental supplements based on feather meal and blood meal; commercial supplement based on animal protein, $Prolak^{(R)}$ supplement based on plant protein and blood meal; and crab meal are comparable with that of soybean meal.

Association between immunoglobulin G1 against Tannerella forsythia and reduction in the loss of attachment tissue

  • Ardila, Carlos Martin;Olarte-Sossa, Mariana;Guzman, Isabel Cristina
    • Journal of Periodontal and Implant Science
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    • v.44 no.6
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    • pp.274-279
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    • 2014
  • Purpose: To evaluate whether the levels of immunoglobulin G (IgG) antibody to Tanerella forsythia are associated with periodontal status. Methods: Patients with a diagnosis of chronic periodontitis were considered candidates for the study; thus 80 chronic periodontitis patients and 28 healthy persons (control group) were invited to participate in this investigation. The presence of T. forsythia was detected by polymerase chain reaction (PCR) analysis using primers designed to target the respective 16S rRNA gene sequences. Peripheral blood was collected from each subject to identify the IgG1 and IgG2 serum antibodies against T. forsythia. All microbiological and immunological laboratory processes were completed blindly, without awareness of the clinical status of the study patients or of the periodontal sites tested. Results: The bivariate analysis showed that lower mean levels of clinical attachment level (CAL) and probing depth were found in the presence of the IgG1 antibody titers against whole-cell T. forsythia; however, only the difference in CAL was statistically significant. In the presence of the IgG2 antibody titers against whole-cell T. forsythia, the periodontal parameters evaluated were higher but they did not show statistical differences, except for plaque. The unadjusted linear regression model showed that the IgG1 antibody against whole-cell T. forsythia in periodontitis patients was associated with a lower mean CAL (${\beta}=-0.654$; 95% confidence interval [CI], -1.27 to -0.28; P<0.05). This statistically significant association remained after adjusting for possible confounders (${\beta}=-0.655$; 95% CI, -1.28 to -0.29; P<0.05). On the other hand, smoking was a statistically significant risk factor in the model (${\beta}=0.704$; 95% CI, 0.24 to 1.38; P<0.05). Conclusions: Significantly lower mean levels of CAL were shown in the presence of the IgG1 antibody titers against whole-cell T. forsythia in periodontitis patients. Thus, the results of this study suggest that IgG1 antibody to T. forsythia may have been a protective factor from periodontitis in this sample.

Regulation of the plasminogen activator activity and inflammatory environment via transforming growth factor-beta regulation of sperm in porcine uterine epithelial cells

  • Kim, Su-jin;Cheong, Hee-Tae;Park, Choon-keun
    • Journal of Animal Reproduction and Biotechnology
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    • v.35 no.4
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    • pp.297-306
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    • 2020
  • The aims of the present study were to confirm that regulation of the PA and environment via TGF-β regulation of sperm by Percoll-separated in porcine uterine epithelial cells. And, it was performed to identify the cytokines (TGF-β1, 2 and 3, TGF-β receptor1 and 2; interleukin, IL-6, IL-8) and PA-related genes (urokinase-PA, uPA; tissue-PA, tPA; PA inhibitor, PAI; uPA-receptor, uPAR) by spermatozoa. The experiment used porcine uterus epithelial cells (pUECs) and uterine tissue epithelial cells, Boar sperm were separated by discontinuous Percoll density gradient (45/90%), and tissues were co-incubated with spermatozoa, followed by real-time PCR. PA activity was measured of sperm by discontinuous Percoll density gradient (45/90%) for 24 hours. To measure viability and acrosome damage of sperm double stained propidium iodide (PI) and SYBR-14 or FITC-PNA were used. In results, binding ratio of Percoll-separated sperm was found no differences, but sperms isolated from 90% Percoll layer reduced PA activity (p < 0.05). when co-cultured sperm selected Percoll in porcine uterus tissues epithelial cells, 90% layer sperm increased TGF-β R1, contrastively tPA and PAI-1 in comparison with control (p < 0.05). 45% sperm was decreased the expression of uPA (p < 0.05). TGF-β decreased PA activity in the supernatant collected from pUECs (p < 0.05). Especially, The group including uPA, PAI-1 were induce sperm intact, while it was reduced in sperm damage when compared to control (p < 0.05). Also, there was no significant difference group of tPA and tPA+I in the dead sperm and acrosome damage compared to control. The expression of tPA and PAI showed a common response. Percoll-separated spermatozoa in 90% layer reduced tPA and IL-related gene mRNA expression. Thus, Percoll-sparated sperm in 90% layer show that it can suppress inflammation through increased expression of TGF-β and downregulation of PA and IL in epithelial cells compared to 45% layer Percoll.

The Anxiety, Diabetes-Related Distress and Posttraumatic Growth of Parents Who Have Child with Type 1 Diabetes (1형 당뇨병 자녀를 둔 부모의 불안, 당뇨관련 스트레스 및 외상 후 성장)

  • Kim, Mi Young;Kang, Hyun-Ju
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.7
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    • pp.257-268
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    • 2017
  • The purpose of this study was to examine the anxiety, levels of diabetes-related distress, and post-traumatic growth of parents who have children with type 1 diabetes and determine the correlation between the differences and variables based on the general characteristics and disease-related characteristics. This is a descriptive survey research and data collection was conducted from January 4th-29th of 2016 with an online survey in an internet community for type 1 diabetes. Seventy seven individuals were included in the final analysis. Statistical analysis was carried out with a t-test, Mann-Whitney U test, Kruskal-Wallis test, and Pearson correlation coefficient. The study results showed that posttraumatic growth was significantly high (p<.05) under parents with a religion, and that parental anxiety and stress were high with children under 6 years of age (p<.05), with cases of hypoglycemia (p<.05), and with high levels of glycated hemoglobin (p<.05). Anxiety and stress had a positive correlation (r=.684, p<.001), and anxiety and stress exhibited a negative correlation with posttraumatic growth (r=-.401, p<.001; r=-.327, p<.05). This suggests that posttraumatic growth can reduce the negative emotions sufficiently, and that a mediating mechanism is needed that promotes posttraumatic growth while decreasing the level of anxiety and stress.

MEAN CONVERGENCE THEOREMS AND WEAK LAWS OF LARGE NUMBERS FOR DOUBLE ARRAYS OF RANDOM ELEMENTS IN BANACH SPACES

  • Dung, Le Van;Tien, Nguyen Duy
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.3
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    • pp.467-482
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    • 2010
  • For a double array of random elements {$V_{mn};m{\geq}1,\;n{\geq}1$} in a real separable Banach space, some mean convergence theorems and weak laws of large numbers are established. For the mean convergence results, conditions are provided under which $k_{mn}^{-\frac{1}{r}}\sum{{u_m}\atop{i=1}}\sum{{u_n}\atop{i=1}}(V_{ij}-E(V_{ij}|F_{ij})){\rightarrow}0$ in $L_r$ (0 < r < 2). The weak law results provide conditions for $k_{mn}^{-\frac{1}{r}}\sum{{T_m}\atop{i=1}}\sum{{\tau}_n\atop{j=1}}(V_{ij}-E(V_{ij}|F_{ij})){\rightarrow}0$ in probability where {$T_m;m\;{\geq}1$} and {${\tau}_n;n\;{\geq}1$} are sequences of positive integer-valued random variables, {$k_{mn};m{{\geq}}1,\;n{\geq}1$} is an array of positive integers. The sharpness of the results is illustrated by examples.

Microstructure and Superconducting Properties of (Bi,Pb)-Sr-Ca-Cu-O-(Ag, Au, Mg) Composites ((Bi,Pb)-Sr-Ca-Cu-O-(Ag, Au, Mg) 복합체의 미세구조와 초전도 특성)

  • 이민수
    • Journal of the Korean Ceramic Society
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    • v.40 no.5
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    • pp.447-454
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    • 2003
  • Samples were prepared by the solid-state reaction method. The nominal composition of the samples was B $i_{1.84}$P $b_{0.34}$S $r_{1.91}$C $a_{2.03}$C $u_{3.06}$ $O_{10+{delta}$ prepared from powder of B $i_2$ $O_3$, PbO, SrC $O_3$, CaC $O_3$, and CuO. They were pulverized, mixed with AgO, A $u_2$ $O_3$and MgO of 50 wt%. Finally, they were sintered at 820 to 85$0^{\circ}C$ in air. The structural characteristics, the microstructure of surface and the critical temperature with respect to the each samples were analyzed by XRD, $T_{c}$, SEM and EDS respectively. It was found that the the critical temperature of the silver oxide additive samples (99.58 K) is higher than those of gold or magnesium oxides additive samples, but all those values are lower than that of pure Bi-2223 phase. The microstructure of surface showed the tendency which the AgO additive samples become more minuteness than A $u_2$ $O_3$ and MgO additive samples.s.samples.s.

A Study on the Relationship Between Perceived Social Support and Nursing Students' Satisfaction of Clinical Practice (간호학생의 지각된 사회적 지지와 임상실습만족도와의 관계연구)

  • Kim Myoung-Sook
    • Journal of Korean Public Health Nursing
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    • v.7 no.2
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    • pp.77-88
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    • 1993
  • The purpose of this study is to identify the relationship between perceived social support and nursing students. satisfaction of clinical practice. The subject consisted of 216 students of department of nursing in D. Junior College. The students were surveyed by means of a questionnaire during the period of Oct. 26 to Sep. 30, 1992. The data are analyzed by descriptive statistics. t-test, ANOVA, Pearson Correlation Coefficient, using the SPSS program. The results were summarized as follows: 1. Generally perceived social support level of nursing student was to high score 176 from low score 69. mean score was 137.005. 2. The total average mark satisfaction of clinical practice of nursing students is 2.944, which is unsatisfactory mark. According to each item rank, content (3. 162), time (2.983). environment (2.979). instruction (2.801), evaluation (2.758). 3. The result which was not correlated with the relation between generally perceived social support and satisfaction of clinical practice of nursing students. 4. The variables which is influenced generally perceived social support level were grade (t=­2.181. p<.05). order of entrance (t= 2.04, p<.05) and the variables which is satisfaction of clinical practice level was condition of health (r=-0.282. p<.05). satisfaction of school life (r=-0.232. p<.05).

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