Viscosity solutions to parabolic complex Monge-Amp\`ere equations

In this paper, we study the Cauchy-Dirichlet problem for Parabolic complex Monge-Amp\`ere equations on a strongly pseudoconvex domain by the viscosity method. We extend the results in [EGZ15b] on the existence of solution and the convergence at infinity. We also establish the H\"older regularity of the solutions when the Cauchy-Dirichlet data are H\"older continuous.Comment: 35 pages. arXiv admin note: text overlap with arXiv:1407.2494 by other author

Quantum Gauss Jordan Elimination

In this paper we construct the Quantum Gau\ss Jordan Elimination (QGJE) Algorithm and estimate the complexity time of computation of Reduced Row Echelon Form (RREF) of an $N\times N$ matrix using QGJE procedure. The main theorem asserts that QGJE has computation time of order $2^{N/2}$

On Data Depth and the Application of Nonparametric Multivariate Statistical Process Control Charts

The purpose of this article is to summarize recent research results for constructing nonparametric multivariate control charts with main focus on data depth based control charts. Data depth provides data reduction to large-variable problems in a completely nonparametric way. Several depth measures including Tukey depth are shown to be particularly effective for purposes of statistical process control in case that the data deviates normality assumption. For detecting slow or moderate shifts in the process target mean, the multivariate version of the EWMA is generally robust to non-normal data, so that nonparametric alternatives may be less often required

Smoking and Periodontal Disease in Vietnamese Middle-Aged Population

Current understanding of periodontal disease derives from studies mostly conducted in developed countries. However, the disease process among those studied populations may be confounded by the professional dental care. There have been few attempts to investigate factors related to the disease among populations of developing countries where the natural history of the disease is minimally confounded by care. This imbalance is evident in risk assessment research on the associations between periodontal disease and smoking-one of the most significant risk factors for the disease. Also, most studies on smoking used convenience or purposive samples, which may bias the findings. Therefore, there is a need for research conducted among a representative sample of a developing country. The present study aimed to describe the prevalence, extent and severity of chronic adult periodontitis among representative Vietnamese middle-aged adults. Also, it aimed to investigate smoking, which is highly prevalent in Vietnam, as a risk indicator for periodontal disease in a population with minimal access to dental care. The study was designed as a cross-sectional population-based study with a multistage, stratified random sample with probability of selection proportional to population size. The US National Institute of Dental Research (NIDR) protocol was used to assess loss of periodontal attachment among 575 dentate subjects in two randomly selected provinces. Assessment was made at mesial and buccal sites of every present tooth, excluding third molars. A parallel social survey collected socio-demographic information and smoking history, which were assessed for possible association with the disease status. Periodontal disease was highly prevalent among the sample. The patterns of the disease were similar to those reported from other populations. Virtually all subjects expressed some levels of disease, whereas only a few subjects or sites had severe disease. Bivariate analyses revealed significant associations between smoking and lower socio-economic status with more severe expression of the disease. Smoking was consistently associated with poorer periodontal status irrespective of outcome measure investigated. Multivariate models showed that smoking was the most predictive factor for the disease. The Odds Ratio of having severe periodontitis (that is, having 2+sites with loss of attachment more than or equal to 5 mm and 1+sites with pocket depth more than or equal to 4 mm) was 7.93 for heavy smokers compared to non-smokers. A dose-response effect of the association between smoking and the outcomes of the disease was also evident. The study provided a picture of the periodontal status of the representative sample from Vietnamese middle-aged adult population where the disease was less confounded by dental care. Furthermore, the study contributes consistency, strength and dose-response effect to the association of smoking as a risk indicator for periodontal destruction. The study should be used to assist the public health agencies in planning appropriate policies for Vietnam to address smoking and periodontal disease.Thesis (M.Sc.)--Dental School, 2001

Détection des points d'intersection de rues dans les cartes géographiques

Modèle de Morrone -- Caractéristiques d'un bon détecteur d'arêtes -- Description des phénomènes biologiques -- Propriétés mathématiques des détecteurs du modèle de Morrone -- Interprétation du signal d'énergie -- Performance du détecteur de contours de Morrone -- La transformée de Hough -- Caractéristiques et améliorations -- Les méthodes d'implantation conventionnelles et leur limites -- Une nouvelle méthode d'implantation -- Résultats d'application -- Algorithmes et implantations -- Les entrées initiales -- Formules de conversion entre coordonnées géographiques et coordonnées graphiques -- Algorithme de convultion utilisant les filtres de Morrone dans le domaine 2D -- Algorithme de transposition d'images -- Interprétation finale sur le signal d'énergie et emmagasinage des points d'arrêtes -- Construction de l'accumulateur de Hough -- Regroupement des éléments de Hough -- Détermination des points de croisements entre les éléments de Hough -- Interprétation finale sur les points de croisements -- Analyse de performance -- La structure générale du programme -- Les interfaces supplémentaires -- Résultats de détection des quatre coins extrêmes de carte -- Résultat de détection des intersections de rues -- Discussion de la performance générale de nos algorithmes

Expression of flagellin FLjB derived from Salmonella enterica serovar typhimurium in Escherichia coli BL21

Flagellin FljB composes flagellar antigen (H:1,2) of S. Typhimurium. This kind of antigen increases immunogenicity of any conjugated antigen upon administration. Thus, it is supposed to have an enormous potentiality for vaccine development against bacterial infections and cancer diseases. fljB gene (1515 nucleotides) coding for mature FljB was amplified by PCR from genomic DNA of S. Typhimurium and inserted into pET32a(+) for expression in E. coli BL21. The protein FljB was well expressed under the fusion form with Trx, S-tag at N terminal and hexa-histidine at C terminal, thus the recombinant protein was abbreviated to TrxFljB. Study on the impact of temperature on the gene expression showed that TrxFljB was synthesized at lower level at 37oC comparing to the levels at 22oC and 25oC. 13% of the protein synthesized at 37oC was inclusion body. Lower temperatures used during induction phase increased the solubility of the recombinant protein. About 97% of TrxFljB synthesized at 25oC was soluble. IPTG concentration had a strong effect on the growth of freshly transformed cells but did not affect on the growth of stored and re-cultivated cells. The increase of IPTG concentration resulted in the decrease of the growth of freshly transformed cells and the TrxFljB productivity. However, 0.05 mM IPTG concentration was found to gain the full TrxFljB expression. TrxFljB productivity declined during storage of cells at 4oC and re-cultivation. At optimal condition, volumetric productivity of TrxFljB was about 300 mg/ l broth.