The strong conical hull intersection property and bounded linear regularity are properties of a collection of finitely many closed convex intersecting sets in Euclidean space. These fundamental notions occur in various branches of convex optimization (constrained approximation, convex feasibility problems, linear inequalities, for instance). It is shown that the standard constraint qualificatio...

The cellular localization of the nerve growth factor-like immunoreactivity (NGF-LIR) has been studied in the intact adult rat brain at the level of the hippocampus and the septum. Immunolabelling for NGF combined with counterstaining with cresyl violet and double immunostaining technique, which allowed simultaneous localization of NGF-LIR and that of astroglial marker -GFAP, were used. The data...

Using Northern blotting with a human genomic DNA probe for the pro-opiomelanocortin (POMC) gene, we have shown specific mRNA in normal human peripheral mononuclear cells (PBMC); the presence of specific mRNA was also observed in a T lymphocyte cell line derived from a patient with lymphoma. We then demonstrated that PBMC translate the message into protein. Thus, using a radioimmunoassay with an...

New moderate-resolution mid-infrared spectroscopy at 10 μm of 27 infrared galaxies is presented. The galaxies have been chosen from three 60 μm selected and one 12 μm selected complete flux-limited catalogs of galaxies; 17 of these sources have LIR(8– 1000μm) ≥ 5 × 10 L⊙. A high-resolution spectrum of the source Arp 299B1 is also presented. Combining these new results with previously published ...

We consider conditions which allow the embedding of linear hypergraphs of fixed size. In particular, we prove that any k-uniform hypergraph H of positive uniform density contains all linear k-uniform hypergraphs of a given size. More precisely, we show that for all integers ` ≥ k ≥ 2 and every d > 0 there exists % > 0 for which the following holds: if H is a sufficiently large kuniform hypergra...

We survey existence and regularity results for semi-linear wave equations. In particular, we review the recent regularity results for the u5-Klein Gordon equation by Grillakis and this author and give a self-contained, slightly simplified proof.

Landslides triggered in mountainous areas can have catastrophic consequences, threaten human life, and cause billions of dollars economic losses. Hence, it is imperative to map the susceptible landslides minimize their risk. Around Abbottabad, a large city northern Pakistan, number be found. This study aimed landslide susceptibility over these regions Pakistan by using three Machine Learning (M...

Several primal and dual quantitative characterizations of regularity properties of collections of sets in normed linear spaces are discussed. Relationships between regularity properties of collections of sets and those of set-valued mappings are provided.

Using Northern blotting with a human genomic DNA probe for the pro-opiomelanocortin (POMC) gene, we have shown specific mRNA in normal human peripheral mononuclear cells (PBMC); the presence of specific mRNA was also observed in a T lymphocyte cell line derived from a patient with lymphoma. We then demonstrated that PBMC translate the message into protein. Thus, using a radioimmunoassay with an...

Macroautophagy/autophagy has been shown to mediate the selective lysosomal degradation of pathogenic bacteria and viruses (xenophagy), and to contribute to the activation of innate and adaptative immune responses. Autophagy can serve as an antiviral defense mechanism but also as a proviral process during infection. Atg8-family proteins play a central role in the autophagy process due to their a...