PROCJENA SEIZMIČKOGA RIZIKA NA SJEVEROZAPADU ALŽIRA TEMELJENA NA MARKOVLJEVU MODELU

The main aim of this paper is to develop a markovienne model for the evaluation of seismic hazard in the north-western part of Algeria. A region that accommodates from moderate to strong seismic activity (ML ≥ 2.5). This work is an attempt to conceive a stochastic model of the earthquake occurrences in order to assess the seismic hazard based on the use of a discrete time Markov chain with a finite state model. The presented model is applied on a complete data sample comprising most of the earthquakes that occurred in the Algerian northwestern area located between latitudes (34°N, 37°N) and longitudes (2°W, 3°E) since 1928 up to now (2018). The Markov chain is built over a homogeneous and completed catalogue, then the transition probability matrix of the chain is used to simulate the occurrences of the earthquakes in the coming decades. The results are compared to a classic Poisson model.Glavni je cilj bio razviti Markovljev model kojim se procjenjuje seizmički rizik na sjeverozapadu Alžira. To je područje već klasificirano u zonu umjerene do jake seizmičke aktivnosti (ML ≥ 2.5). U radu su potresni događaji stohastički modeli rani, uporabom diskretnoga, vremenskoga, Markovljeva lanca s modelom konačnoga stanja. Takav model primijenjen je na skupu podataka koji je obuhvatio sve potrese zabilježene na sjeverozapadu Alžira, na 34°N, 37°N sjeverne širine te dužinama 2°W zapadno do 3°E istočno. Podatci su prikupljeni za razdoblje 1928. – 2018. Model je izgrađen preko homogenoga kataloga, a izračunana matrica vjerojatnosti može se koristiti za predviđanje potresa u narednim desetljećima. Kao kontrolni model korišten je Poissonov

Quelques contributions en logique mathématique et en théorie des automates

This work deals mainly with automata theory, mathematical logic and their applications. In the first part, we use finite automata to prove the automaticity of several logical structures over finite words written in a countable infinite alphabet. These structures involve predicates like ≺, "clone" and "diff", where x ≺ y holds if x is a strict prefix of y, clone(x) holds when the two last letters of x are equal, and diff(x) holds when all letters of x are pairwise distinct. The automaticity results allow to deduce the decidability of logical theories associated with these structures. Other related decidability/undecidability results are obtained by logical interpretation. In the second part, we generalize the concept of Common Follow Sets of a regular expression to homogeneous finite automata. Based on this concept and a particular class of binary trees, we devise an efficient algorithm to reduce/minimize the number of transitions of triangular automata. On the one hand, we prove that the produced reduced automaton is asymptotically minimal, in the sense that for an automaton with n states, the number of transitions in the reduced automaton is equivalent to n(log₂ n)², which corresponds at the same time to the upper and the lower known bounds. On the other hand, experiments reveal that for small values of n, all minimal automata are exactly those obtained by our reduction, which lead us to conjecture that our construction is not only a reduction but a minimization. In the last part, we present an experimental study on the use of special automata on partial words for the approximate pattern matching problem in dictionaries. Despite exponential theoretical time and space upper bounds, our experiments show that, in many practical cases, these automata have a linear size and allow a linear search timeLes problèmes traités et les résultats obtenus dans ce travail s'inscrivent essentiellement dans le domaine de la théorie des automates, la logique mathématique et leurs applications. Dans un premier temps on utilise les automates finis pour démontrer l'automaticité de plusieurs structures logiques sur des mots finis écrits dans un alphabet infini dénombrable. Ceci nous permet de déduire la décidabilité des théories logiques associées à ces structures. On a considéré par exemple la structure S=(Σ∗;≺,clone) où Σ∗ désigne l'ensemble des mots finis sur l'alphabet infini dénombrable Σ, ≺ désigne la relation de préfixe et "clone" désigne le prédicat qui est vrai pour un mot se terminant par deux lettres identiques. On a démontré l'automaticité de la structure S et la décidabilité de sa théorie du premier ordre et de sa théorie monadique du second ordre. On a aussi considéré des extensions de la structure S obtenues en ajoutant des prédicats comme ∼ qui est vrai pour deux mots de même longueur. Nous avons en particulier démontré la M-automaticité de la structure (Σ∗;≺,clone,∼), d'où la décidabilité de sa théorie du premier ordre. On a par ailleurs étudié des structures qui comportent le prédicat "diff" qui est vrai pour un mot dont les lettres sont toutes distinctes. En particulier on a démontré l'automaticité de la structure D=(Σ∗;≺,clone,diff) et la décidabilité de sa théorie du premier ordre et de sa théorie monadique du second ordre. On a également obtenu, par interprétation logique, des résultats de décidabilité et des résultats d'indécidabilité pour plusieurs variantes des structures S et D, ainsi que pour des familles de structures appelées structure d'applications exclusives et structure de décomposition. Dans un deuxième temps on s'est intéressé au problème de la réduction du nombre de transitions dans les automates finis. On a commencé par étendre le concept de Common Follow Sets d'une expression régulière aux automates finis homogènes. On a montré comment établir une liaison assez directe entre des systèmes de CFS spécifiques et les arbres binaires complets. Ce lien est prouvé en utilisant un objet combinatoire appelé triangle d'Ératosthène - Pascal. Cette correspondance permet de transformer la valeur qui nous intéresse (le nombre de transitions) en une valeur assez naturelle associée aux arbres (le poids d'un arbre). En effet, construire un automate ayant un minimum de transitions revient à trouver un arbre de poids minimal. On a montré, d'une part, que ce nombre de transitions est asymptotiquement équivalent à n(log₂ n)² (la borne inférieure). D'autre part, les tests expérimentaux montrent que pour les petites valeurs de n, les automates minimaux en nombre de transitions coïncident (en nombre et en taille) avec ceux obtenus par notre construction. Cela nous mène à suggérer que notre réduction est finalement une minimisation pour les automates triangulaires. Dans un dernier temps on a présenté une étude expérimentale concernant l'application des automates à trous dans le domaine de la recherche approchée de motif dans les dictionnaires de mots. Contrairement aux complexités théoriques, temps de recherche et espace de stockage exponentiels, nos expérimentations montrent la linéarité de l'automate à trou

Kinetic Modeling of Convective and Microwave Drying of Potato Peels and Their Effects on Antioxidant Content and Capacity

This study deals with drying properties and focuses on the drying kinetics of potato peels (PP) by two processes, namely convection drying (CD) at various temperatures (40, 60, 80, 100, and 120 °C) and microwave drying (MD) at different powers (200, 400, 600, and 800 W). In addition, the effectiveness of the adopted processes was evaluated in terms of antioxidant contents and antioxidant capacity. A total of 22 mathematical models were undertaken to predict the drying kinetics, and the best model was selected based on the highest R2 values and the lowest χ2 and RMSE values. The Sledz model was the more appropriate for both methods with values of 0.9995 ≤ R2 ≤ 0.9999, χ2 = 0.0000, and 0.0054 ≤ RMSE ≤ 0.0030 for CD, and the results of MD were 0.9829 ≤ R2 ≤ 0.9997, 0.0000 ≤ χ2 ≤ 0.0010, and 0.0304 ≤ RMSE ≤ 0.0053. The best drying rates (DR) of PP were assigned to a temperature of 120 °C and a power of 600 W with values of 0.05 and 0.20 kg water/kg dw min, respectively. A potential explanation is that as PP’s moisture content decreased during the drying process, there was a drop in absorption, which led to a reduction in the DR. The energy consumption of both processes was assessed, and it rose with increasing temperature or power. The microwave process reduced the drying time, consumed lower energy, and presented a higher drying efficiency at a moderate power level compared to the convection process. Furthermore, MD preserved antioxidants better compared to CD and improved the antioxidant capacity. Therefore, the proposed microwave process for drying PP is suggested for its expected use in various fields, including the food processing industries.Depto. de Producción AnimalFac. de VeterinariaTRUEpu

Ziziphus lotus (L.) Lam. plant treatment by ultrasounds and microwaves to improve antioxidants yield and quality: An overview

The purpose of this review is to compile the literature published about different aspects of microwave-assisted extraction (MAE) use and ultrasound-assisted extraction (UAE) applied on jujube worldwide and to compare the results on the antioxidant activity obtained for each extraction method. As a result of the increased consumers demand for natural products, as well as for those of agro-food, nutraceutical, cosmetic industries, and green extraction techniques are nowadays trending to be potential alternatives that can improve antioxidant yield and its quality from an economical and environmental point of view by reducing time, energy, and solvent consumption. Ultrasounds and microwaves are widely used methods in the extraction of active principles due to their cavitation and dipolar rotation effect, respectively. These two techniques provide efficiency of extraction while minimizing the time and preserving the quality of the food matrix, overcoming the disadvantages of conventional techniques characterized by their consumption of large quantities of solvents and providing a sparse quantity of extraction. Jujube, a shrub with a high antioxidant potential, which can be affected by various extraction conditions can be the target of UAE and MAE to increase the antioxidant extraction yield. Exploiting the beneficial properties such as the antioxidant activity can lead to an industrialization process, replacing therefor synthetic antioxidants with natural compounds. These can also help in the development of new nutraceuticals and can be used, for instance, in agro-food industries as preservatives

RECENT ADVANCES ON STABILITY OF ANTHOCYANINS

Since Neolithic era, natural pigments have been added to foods and colour of food products is still one of the major concerns of food industry. Anthocyanins are the most noticeable group among coloured flavonoids, widely existing in the roots, stems and leaves as well as flowers and fruits of the vascular plants. They have a high potential for use as natural colorants instead of synthetic pigments because of their attractive colour and pharmacological properties. Stable and attractive colours are a highly valued attribute in competitive food industry. Considerable studies have been done on the effects of the most important chemical and physical factors involved in the stability of anthocyanins (temperature, light, pH, SO2, metal, sugar, ascorbic acid and oxygen), their concentrations, chemical structures, and matrix food compositions. Furthermore, the effects of separation technologies including microwave/ultrasound assisted extraction (MAE, UAE), and Colloidal Gaz Aphron (CGA) fractionation on the stability of anthocyanins are reviewed

Analysis of isoquinoline alkaloids using chitosanâ assisted liquidâ solid extraction followed by microemulsion liquid chromatography employing a subâ 2â micron particle stationary phase

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135437/1/elps5986.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/135437/2/elps5986_am.pd

Optimization of microwave-assisted extraction of ergosterol from Agaricus bisporus L. by-products using response surface methodology

This work intends to valorise by-products of the industrial processing of mushrooms to obtain ergosterol as a value-added compound. Agaricus bisporus L. is the world’s most consumed mushroom and one of the richest sources of ergosterol. Microwave-assisted extraction was used to replace conventional techniques that are time-consuming and need large amounts of solvent. Time (3-20 min), temperature (60-210 ºC) and solid-liquid ratio (1-20 g/L) were found the relevant variables to analyze the extraction process. To maximize the ergosterol extraction yield, response surface methodology was used to optimize the process. The global optimal extraction conditions were determined and comprise: 19.4±2.9 min, 132.8±12.4 ºC and 1.6±0.5 g/L, yielding 556.1±26.2 mg of ergosterol per 100 g of mushroom by-products. In the MAE optimal conditions, it was possible to obtain ergosterol in a similar value to the one obtained in other works when using the Soxhlet extraction method with a significant decrease in the time of extraction. The results show the potential of using the by-products of an agroindustry, mushrooms processing industry, as productive sources of ergosterol.The authors acknowledge FCT (Portugal) for financial support to CIMO (PEst-OE/AGUI/0690/2014), Sandrina A. Heleno (SFRH/BPD/101413/2014) and L. Barros (SFRH/BPD/107855/2015), to FCT/MEC and FEDER under Programme PT2020 for financial support to LSRE (Project UID/EQU/50020/2013), and to QREN, ON2 and FEDER (Projects NORTE-07-0124-FEDER-000014 and NORTE-07-0162-FEDER-000050). The authors also acknowledge Xunta de Galicia for financial support of the post-doctoral researcher M.A. Prieto, and to Patrícia Diz for some support in MAE experiments

Determination of antioxidant compounds in foodstuff

© 2017 Scrivener Publishing LLC. Phenolic compounds, vitamins and carotenoids are naturally found in different foodstuff. These antioxidant compounds play an important role in human health and are of interest for the food, pharmaceutical and cosmeceutical industries. Modern chromatographic and spectrometric techniques have made analysis easier than ever before, but their success depends on the extraction method used. In fact, the different antioxidants are identifified using chromatographic techniques coupled to diff erent specififi c detectors according to the characteristics of each molecule. Beyond their well-known health-promoting effects, antioxidant molecules can also be used to functionalize or preserve the freshness, nutritive value, flflavor and color of foodstuff s, which justify their incorporation into several matrices. In this chapter, the most common antioxidant compounds in foodstuff will be described, as well as the methodologies involved in their extraction, separation, identifification and quantifification. The bioactive properties and industrial applications of these compounds through innovative techniques will also be taken into account.info:eu-repo/semantics/publishedVersio