Halal certification for an industrial machine intended to come in contact with food

Halal Certification is a worldwide recognition that the products are permissible under Islamic law. These products are thus edible, drinkable or usable by Muslims. It can be extended to industrial machinery and tools. This Certification must be issued by a Notified Body under the supervision of an IMAM. Focus of the Certification are GMPs and Food Contact Materials and Articles. Four main phases to achieve Certification (the scheme is the same of ISO 14001, ISO 18001 and ISO 9001): Pre-Audit - The activity is to evaluate the documentation describing our internal system. Audit - The activity is to evaluate how the Organization works in coherence with the documentation. Issue of Certification - Released by an accredited Imam. System verifications - The Certification has to be revised and confirmed every year by the Notified Body and after three years a new complete audit has to be carried out

A logarithmic epiperimetric inequality for the obstacle problem

For the general obstacle problem, we prove by direct methods an epiperimetric inequality at regular and singular points, thus answering a question of Weiss (Invent. Math., 138 (1999), 23--50). In particular at singular points we introduce a new tool, which we call logarithmic epiperimetric inequality, which yields an explicit logarithmic modulus of continuity on the $C^1$ regularity of the singular set, thus improving previous results of Caffarelli and Monneau

Recommendations on complementary feeding for healthy, full-term infants

Weaning (or introduction of complementary feeding) is a special and important moment in the growth of a child, both for the family and the infant itself, and it can play a major role in the child's future health. Throughout the years, various weaning modes have come in succession, the latest being baby-led weaning; the timing for introducing foods and the requirements of which sort of nutrient for weaning have also changed over time. Furthermore, the role played by nutrition, especially in the early stages of life, for the onset of later non-communicable disorders, such as diabetes, obesity or coeliac disease has also been increasingly highlighted. Members of Italian Society of Gastroenterology, Hepathology and Pediatric Nutrition (SIGENP) and the Italian Society of Allergology and Pediatric Immunology (SIAIP) Emilia Romagna here propose a practical approach for pediatricians to deal with daily practice. The four main areas for discussion were weaning in relation with the onset of allergic diseases, coeliac disease, diabetes and metabolic syndrome, the nutrition requirements to take into account for assessing the diet of infants under one year of age and about the practice of baby-led weaning focusing on limits and benefits, respectively

Liouville type results for periodic and almost periodic linear operators

We are concerned with some extensions of the classical Liouville theorem for bounded harmonic functions to solutions of more general equations. We deal with entire solutions of periodic and almost periodic parabolic equations including the elliptic framework as a particular case. We derive a Liouville type result for periodic operators as a consequence of a result for operators periodic in just one variable, which is new even in the elliptic case. More precisely, we show that if $c\leq0$ and $a_{ij}, b_i, c, f$ are periodic in the same space/time direction, with the same period, then any bounded solution $u$ of $$\partial_t u-a_{ij}(x,t)\partial_{ij}u-b_i(x,t)\partial_iu-c(x,t)u=f(x,t),\quad x\in\R^N,\ t\in\R,$$ is periodic in that direction. We then derive the following Liouville type result: if $c\leq0, f\equiv0$ and $a_{ij}, b_i, c$ are periodic in all the space/time variables, with the same periods, then the space of bounded solutions of the above equation has at most dimension one. In the case of the equation $\partial_t u-Lu=f(x,t)$, with $L$ periodic elliptic operator independent of $t$, the hypothesis $c\leq0$ can be weaken by requiring that the periodic principal eigenvalue of $-L$ is nonnegative. Instead, the periodicity assumption cannot be relaxed, because we explicitly exhibit an almost periodic function $b$ such that the space of bounded solutions of $u''+b(x)u'=0$ in $\R$ has dimension 2, and it is generated by the constant solution and a non-almost periodic solution. Next, a sufficient condition for any bounded solution to be almost periodicis derived. We also treat the case of periodic domains under either Dirichlet or Robin boundary conditions.Comment: 27 pages, 1 figur

Error estimates in weighted Sobolev norms for finite element immersed interface methods

When solving elliptic partial differential equations in a region containing immersed interfaces (possibly evolving in time), it is often desirable to approximate the problem using an independent background discretisation, not aligned with the interface itself. Optimal convergence rates are possible if the discretisation scheme is enriched by allowing the discrete solution to have jumps aligned with the surface, at the cost of a higher complexity in the implementation. A much simpler way to reformulate immersed interface problems consists in replacing the interface by a singular force field that produces the desired interface conditions, as done in immersed boundary methods. These methods are known to have inferior convergence properties, depending on the global regularity of the solution across the interface, when compared to enriched methods. In this work we prove that this detrimental effect on the convergence properties of the approximate solution is only a local phenomenon, restricted to a small neighbourhood of the interface. In particular we show that optimal approximations can be constructed in a natural and inexpensive way, simply by reformulating the problem in a distributionally consistent way, and by resorting to weighted norms when computing the global error of the approximation

Inter-society consensus for the use of inhaled corticosteroids in infants, children and adolescents with airway diseases

Background: In 2019, a multidisciplinary panel of experts from eight Italian scientific paediatric societies developed a consensus document for the use of inhaled corticosteroids in the management and prevention of the most common paediatric airways disorders. The aim is to provide healthcare providers with a multidisciplinary document including indications useful in the clinical practice. The consensus document was intended to be addressed to paediatricians who work in the Paediatric Divisions, the Primary Care Services and the Emergency Departments, as well as to Residents or PhD students, paediatric nurses and specialists or consultants in paediatric pulmonology, allergy, infectious diseases, and ear, nose, and throat medicine. Methods: Clinical questions identifying Population, Intervention(s), Comparison and Outcome(s) were addressed by methodologists and a general agreement on the topics and the strength of the recommendations (according to the GRADE system) was obtained following the Delphi method. The literature selection included secondary sources such as evidence-based guidelines and systematic reviews and was integrated with primary studies subsequently published. Results: The expert panel provided a number of recommendations on the use of inhaled corticosteroids in preschool wheezing, bronchial asthma, allergic and non-allergic rhinitis, acute and chronic rhinosinusitis, adenoid hypertrophy, laryngitis and laryngospasm. Conclusions: We provided a multidisciplinary update on the current recommendations for the management and prevention of the most common paediatric airways disorders requiring inhaled corticosteroids, in order to share useful indications, identify gaps in knowledge and drive future research