In the paper, the Fenchel problem of level sets in the smooth case is solved by deducing a new and “nice” geometric necessary and sufficient condition for the existence of a smooth convex function with the level sets of a given smooth pseudoconvex function. The main theorem is based on a general differential geometric tool, the space of paths defined on smooth manifolds. This approach provides ...

Nanofluids are kinds of fluids engineered by dispersing nanoparticles in base fluids, a new challenge for thermal sciences provided by nanotechnology. Due to their excellent characteristics, nanofluids find wide applications in enhancing heat transfer. This paper presents synthesis and characterization of TiO2-CNTs nanocomposites by sonochemical method and investigation of some properties...

Several high-resolution imaging techniques such as FESEM, TEM and AFM are compared with respect to their application on alginate hydrogels, a widely used polysaccharide biomaterial. A new AFM method applicable to RGD peptides covalently conjugated to alginate hydrogels is described. High-resolution images of RGD adhesion ligand distribution were obtained by labeling biotinylated RGD peptides wi...

Background Myocarditis can present with acute coronary syndromelike (ACS) symptoms, new-onset heart failure (NOHF) or life threatening arrhythmias (LTA) with various ECG and laboratory test abnormalities. Cardiac magnetic resonance (CMR) tissue characterization using Late Gadolinium Enhancement (LGE) and T2 weighted (T2W) imaging is the non-invasive diagnostic tool of choice. The relationship b...

Background Myocardial T1 mapping is emerging as powerful tool for tissue characterization, however the presence of intramyocardial or epicardial fat can contaminate T1 values through partial voluming, or preclude analysis, particularly in areas of infarct or thin walled myocardium, such as the right ventricle. We propose and evaluate a new combined fat-water separated saturation-recovery imagin...

Nanocasting, the 3D-transformation of self-assembled organic nanostructures into hollow inorganic replicas under preservation of fine structural details has recently turned out to be a versatile tool, both for the synthesis of porous media with new pore topology as well as for the characterization of the assembled structures themselves. This review gives a review on recent work describing the p...

In this paper, we use the Walsh Hadamard transform (WHT) as a fundamental tool for analysis of some properties of generalized ternary functions. Some existing binary results obtained for cryptographic functions are generalized to the ternary case, and hence obtain some new characterization of ternary functions based on their spectral analysis. The WHT of ternary functions is expressed in terms ...

Abstract Metal cutting is characterized by high temperatures at the tool-workpiece interface. Although valuable information could be provided temperature values, their direct measurement still presents a challenge due to contact pressure and inaccessibility of process kinematic. In this research work, current state thin-film sensors for measuring on chip-tool interface has been analyzed with fo...

We investigate distality and existence of distal expansions in valued fields related structures. In particular, we characterize a large class ordered abelian groups, provide an Ax-Kochen-Eršov-style characterization for henselian fields, demonstrate that certain e.g., the differential field logarithmic-exponential transseries, are distal. As new tool analyzing employ relative quantifier elimina...