A note on spectral approximation of linear operations

AbstractThis work deals on sufficient conditions for the spectral convergence of a sequence of linear operators. The general context is a complex separable Banach space and the pointwise limit of the sequence is a continuous linear operator which is not supposed to be compact. By spectral convergence is meant the self-range-uniform convergence of the approximate spectral projections. This implies the gap convergence of the approximate maximal invariant subspaces to those of the limit operator corresponding to a nonzero isolated eigenvalue (or a subset of close nonzero isolated eigenvalues) with finite algebraic multiplicity. Neither the exact nor the approximate eigenvalues are supposed to be semisimple

On Dunkl-Bose-Einstein Condensation in Harmonic Traps

The use of the Dunkl derivative, which is defined by a combination of the difference-differential and reflection operator, allows the classification of the solutions according to even and odd solutions. Recently, we considered the Dunkl formalism to investigate the Bose-Einstein condensation of an ideal Bose gas confined in a gravitational field. In this work, we address a similar problem and examine an ideal Bose gas trapped by a three-dimensional harmonic oscillator within the Dunkl formalism. To this end, we derive an analytic expression for the critical temperature of the N particle system, discuss its value at large-N limit and finally derive and compare the ground state population with the usual case result. In addition, we explore two thermal quantities, namely the Dunkl-internal energy and the Dunkl-heat capacity functions. The Wigner parameter of the Dunkl formalism can be successfully used to obtain a better agreement between experimental and theoretical results.Comment: 11 pages, 5 figure

Valorization of fine bran of Algerian durum wheat varieties in the diet of ruminants

The feed value of the fine bran of durum wheat varieties cultivated in Algeria have as characteristics an average content of total nitrogen of 13.2% of dry matter (DM), a fat content of 2.4% of DM and minerals content of 2.8% of DM. These various chemical compounds values confer less fodder units and digestible proteins than those of durum wheat fine bran from Europeans varieties

Valorization of fine bran of Algerian durum wheat varieties in the diet of ruminants

La valeur nutritive des sons fins des variétés de blé dur cultivées en Algérie a pour caractéristiques une teneur moyenne en matières azotées totales de 13,2 % de matière sèche (MS), un taux de matière grasse de 2,4 % de MS et une teneur en matière minérale de 2,8 % de MS. Ces différents composés chimiques leurs confèrent des valeurs en unités fourragères et en protéines digestibles moins importantes que celles des sons fins des blés durs européens. Mots-clés: Alimentation des ruminants, son fin de blé dur algérien, valeur nutritive.The feed value of the fine bran of durum wheat varieties cultivated in Algeria have as characteristics an average content of total nitrogen of 13.2% of dry matter (DM), a fat content of 2.4% of DM and minerals content of 2.8% of DM. These various chemical compounds values confer less fodder units and digestible proteins than those of durum wheat fine bran from Europeans varieties.Keywords: Food of the ruminants, Fine bran of Algerian durum wheat, Feed value

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

Acute Treatment Effects on GFR in Randomized Clinical Trials of Kidney Disease Progression

Background: Acute changes in GFR can occur after initiation of interventions targeting progression of CKD. These acute changes complicate the interpretation of long-term treatment effects. Methods: To assess the magnitude and consistency of acute effects in randomized clinical trials and explore factors that might affect them, we performed a meta-analysis of 53 randomized clinical trials for CKD progression, enrolling 56,413 participants with at least one estimated GFR measurement by 6 months after randomization. We defined acute treatment effects as the mean difference in GFR slope from baseline to 3 months between randomized groups. We performed univariable and multivariable metaregression to assess the effect of intervention type, disease state, baseline GFR, and albuminuria on the magnitude of acute effects. Results: The mean acute effect across all studies was 20.21 ml/min per 1.73 m2 (95% confidence interval, 20.63 to 0.22) over 3 months, with substantial heterogeneity across interventions (95% coverage interval across studies, 22.50 to 12.08 ml/min per 1.73 m2). We observed negative average acute effects in renin angiotensin system blockade, BP lowering, and sodium-glucose cotransporter 2 inhibitor trials, and positive acute effects in trials of immunosuppressive agents. Larger negative acute effects were observed in trials with a higher mean baseline GFR. Conclusion: The magnitude and consistency of acute GFR effects vary across different interventions, and are larger at higher baseline GFR. Understanding the nature and magnitude of acute effects can help inform the optimal design of randomized clinical trials evaluating disease progression in CKD

Genetic Risk Factors for Hepatopulmonary Syndrome in Patients With Advanced Liver Disease

Hepatopulmonary syndrome (HPS) affects 10%–30% of patients with cirrhosis and portal hypertension and significantly increases mortality. Studies in experimental models indicate that pulmonary angiogenesis contributes to the development of HPS, but pathogenesis in humans is poorly understood. We investigated genetic risk factors for HPS in patients with advanced liver disease

Developing reproducible bioinformatics analysis workflows for heterogeneous computing environments to support African genomics

Background: The Pan-African bioinformatics network, H3ABioNet, comprises 27 research institutions in 17 African countries. H3ABioNet is part of the Human Health and Heredity in Africa program (H3Africa), an African-led research consortium funded by the US National Institutes of Health and the UK Wellcome Trust, aimed at using genomics to study and improve the health of Africans. A key role of H3ABioNet is to support H3Africa projects by building bioinformatics infrastructure such as portable and reproducible bioinformatics workflows for use on heterogeneous African computing environments. Processing and analysis of genomic data is an example of a big data application requiring complex interdependent data analysis workflows. Such bioinformatics workflows take the primary and secondary input data through several computationally-intensive processing steps using different software packages, where some of the outputs form inputs for other steps. Implementing scalable, reproducible, portable and easy-to-use workflows is particularly challenging. Results: H3ABioNet has built four workflows to support (1) the calling of variants from high-throughput sequencing data; (2) the analysis of microbial populations from 16S rDNA sequence data; (3) genotyping and genome-wide association studies; and (4) single nucleotide polymorphism imputation. A week-long hackathon was organized in August 2016 with participants from six African bioinformatics groups, and US and European collaborators. Two of the workflows are built using the Common Workflow Language framework (CWL) and two using Nextflow. All the workflows are containerized for improved portability and reproducibility using Docker, and are publicly available for use by members of the H3Africa consortium and the international research community. Conclusion: The H3ABioNet workflows have been implemented in view of offering ease of use for the end user and high levels of reproducibility and portability, all while following modern state of the art bioinformatics data processing protocols. The H3ABioNet workflows will service the H3Africa consortium projects and are currently in use. All four workflows are also publicly available for research scientists worldwide to use and adapt for their respective needs. The H3ABioNet workflows will help develop bioinformatics capacity and assist genomics research within Africa and serve to increase the scientific output of H3Africa and its Pan-African Bioinformatics Network

A contribution to the assessement of control systems precision

Dependability is one of the control systems properties that characterizes their reliabilities and possesses in addition the following advantages: it characterizes sufficiently the reliability of the system, its variations with respect to time, it models the reliability of the system, its variations with respect to time, it determines the efficiency, the implementation and exploitation costs of the control systems. The nowadays methods applied to improve the control systems dependability ca be used during the conception and production phases. In this paper, we propose a theoretical approach for estimation that shows the contribution of an adaptive principle to improve the reliability of the control systems. Moreover we will prove how the certainty of the computed results of the good functioning probability of such control systems will depend on the fact that if we consider or not the adaptive control algorithms according to the state of the system and its prediction result