Symbolic parametrization of curves

If algebraic varieties like curves or surfaces are to be manipulated by computers, it is essential to be able to represent these geometric objects in an appropriate way. For some applications an implicit representation by algebraic equations is desirable, whereas for others an explicit or parametric representation is more suitable. Therefore, transformation algorithms from one representation to the other are of utmost importance.We investigate the transformation of an implicit representation of a plane algebraic curve into a parametric representation. Various methods for computing a rational parametrization, if one exists, are described. As a new idea we introduce the concept of working with classes of conjugate (singular or simple) points on curves. All the necessary operations, like determining the multiplicity and the character of the singular points or passing a linear system of curves through these points, can be applied to such classes of conjugate points. Using this idea one can parametrize a curve if one knows only one simple point on it. We do not propose any new method for finding such a simple point. By classical methods a rational point on a rational curve can be computed, if such a point exists. Otherwise, one can express the coordinates of such a point in an algebraic extension of degree 2 over the ground field.     

Changes in carbohydrates during germination of lentils

Summary The effect of germination on soluble carbohydrates, total and digestible starch, and components of dietary fiber (neutral detergent fiber, cellulose and hemicellulose) in two varieties of lentils (Lens culinaris medicus var. vulgaris and variabilis) were investigated. In germinated lentils the amount of total soluble sugars decreased (from 4.3% to 2.0% and from 5.3% to 2.2%, respectively); glucose, not present in raw seeds, was relatively high (0.6% and 0.7%), fructose increased slightly, and sucrose decreased slightly. The oligosaccharides of the raffinose family disappeared from germinated seeds. Total starch decreased considerably in germinated lentils (from 60.3% to 41.4% and from 57.4% to 36.4%), but the digestibility of the starch was greatly improved. In germinated lentils, the content of neutral detergent fiber and hemicellulose were lower but that of cellulose and lignin were higher than in raw lentils. Thus, the nutritive value of both varieties of lentils may increase with germination processes.

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Veränderungen im Kohlenhydratgehalt in keimenden Linsen

Zusammenfassung In der vorliegenden Arbeit wurde der Einfluß der Keimung auf die Gehalte an löslichen Kohlenhydraten, Gesamt- und verdaulicher Stärke und Komponenten der Rohfaser (neutral detergent fiber, Cellulose und Hemicellulose), in zwei Linsensorten (Lens culinaris medicus var. vulgaris und variabilis) untersucht. Der Gesamtzuckergehalt nimmt durch die Keimung bei beiden Sorten ab (von 4,3% bis 2,0% und von 5,3% bis 2,2%). Glucose, die sich in rohen Samen nicht findet, lag bei 0,6% und 0,7% in den gekeimten Linsen. Fructose und Sucrose änderten sich nur wenig. Die Raffinose-Oligosaccharide sind bei den gekeimten Linsen nicht vorhanden. Die Gesamt-Stärke nimmt deutlich während der Keimung ab (von 60,27% bis 41,39% und von 57,41% bis 36,39%), aber die Verdaulichkeit der Stärke wurde signifikant verbessert. Die Gehalte an neutral detergent fiber und Hemicellulose bei gekeimten Linsen waren niedriger als bei rohen Linsen, aber die Cellulose- und Ligningehalte waren nach der Keimung größer. Der Proteinnährwert bei beiden Linsensorten kann durch die Keimung verbessert werden.

     

Providing security and fault tolerance in P2P connections between clouds for mHealth services

The mobile health (mHealth) and electronic health (eHealth) systems are useful to maintain a correct administration of health information and services. However, it is mandatory to ensure a secure data transmission and in case of a node failure, the system should not fall down. This fact is important because several vital systems could depend on this infrastructure. On the other hand, a cloud does not have infinite computational and storage resources in its infrastructure or would not provide all type of services. For this reason, it is important to establish an interrelation between clouds using communication protocols in order to provide scalability, efficiency, higher service availability and flexibility which allow the use of services, computing and storage resources of other clouds. In this paper, we propose the architecture and its secure protocol that allows exchanging information, data, services, computing and storage resources between all interconnected mHealth clouds. The system is based on a hierarchic architecture of two layers composed by nodes with different roles. The routing algorithm used to establish the connectivity between the nodes is the shortest path first (SPF), but it can be easily changed by any other one. Our architecture is highly scalable and allows adding new nodes and mHealth clouds easily, while it tries to maintain the load of the cloud balanced. Our protocol design includes node discovery, authentication and fault tolerance. We show the protocol operation and the secure system design. Finally we provide the performance results in a controlled test bench.     

Metabolic role of glutamine and its importance in nutritional therapy

The advances in the field of nutritional support have made certain nutrients very relevant, which, although they have been known for a long time, at present represent an important chapter in nutrition, entering into what is known as "nutritional pharmacology". Among these nutrients is glutamine, an amino acid classified as non-essential, but which in certain circumstances may become to be considered as an "essential nutrient". In the present review, a review is made of its metabolic role, synthesis and degradation, metabolic routes and functions under normal conditions as well as under critical conditions. It is known that glutamine stimulates the synthesis and inhibits the degradation of proteins, it is an important vehicle for the transport of nitrogen and carbon within the tissues, it stimulates the synthesis of hepatic glycogen, it is an energy source for cell division, for the growth of different cells of rapid replication, such as enterocytes, colonocytes, and fibroblasts, as well as for other cells of the immune system, such as lymphocytes and macrophages. Thus its role in the maintenance of structure, in metabolism and function of the intestinal mucosa, and in dysfunctions of the immune system. In parenteral nutrition, at present there are no preparations which include it, given the stability problems which it presents, although attempts have been made to resolve this, using different possibilities, such as di-peptides. However, in enteral nutrition, the diets tend to include it, although in a small proportion. Nevertheless, having recognized its beneficial role in a certain type of patients, at present there are diets which contain glutamine in higher doses, with the object of attempting to cover the increased demands of glutamine which shall arise in these situations. The inclusion of glutamine in nutritional therapy is supported by multiple studies which reflect the beneficial effect of this nutrient, both in enteral nutrition as in parenteral nutrition.     

Linear complete differential resultants and the implicitization of linear DPPEs

The linear complete differential resultant of a finite set of linear ordinary differential polynomials is defined. We study the computation by linear complete differential resultants of the implicit equation of a system of n$n$ linear differential polynomial parametric equations in n−1$n-1$ differential parameters. We give necessary conditions to ensure properness of the system of differential polynomial parametric equations.     

Radical parametrizations of algebraic curves by adjoint curves

We present algorithms for parametrizing by radicals an irreducible curve, not necessarily plane, when the genus is less than or equal to 4 and the curve is defined over an algebraically closed field of characteristic zero. In addition, we also present an algorithm for parametrizing by radicals any irreducible plane curve of degree d having at least a point of multiplicity d−r, with 1≤r≤4 and, as a consequence, every irreducible plane curve of degree d≤5 and every irreducible singular plane curve of degree 6.