An infinite first-order structure is minimal if its each definable subset is either finite or co-finite. We formulate three questions concerning order properties of minimal structures which are motivated by Pillay’s Conjecture (stating that a countable first-order structure must have infinitely many countable, pairwise non-isomorphic elementary extensions). In this article a connection between ...

In this extended abstract we present our early work on structure from motion data compression for image geocoding. We address the advantages of image geocoding over standard trillateration solutions and identify desired characteristics for an image geocoding system such as accuracy, speed and scalability. We hypothesize that scalability impacts both speed and accuracy and should be further rese...

We provide a new topological obstruction for complete stable minimal hypersurfaces in IRn+1. For n ≥ 3, we prove that a complete orientable stable minimal hypersurface in IRn+1 cannot have more than one end by showing the existence of a bounded harmonic function based on the Sobolev inequality for minimal submanifolds [MS] and by applying the Liouville theorem for harmonic functions due to Scho...

H2 relaxin is a peptide hormone associated with a number of therapeutically relevant physiological effects, including regulation of collagen metabolism and multiple vascular control pathways. It is currently in phase III clinical trials for the treatment of acute heart failure due to its ability to induce vasodilation and influence renal function. It comprises 53 amino acids and is characterize...

An infinite sequence of commuting nonpolynomial contact symmetries of the two-dimensional minimal surface equation is constructed. Local and nonlocal conservation laws for n-dimensional minimal area surface equation are obtained by using the Noether identity. Introduction. In this paper, we analyze the symmetry properties of the Euler equation

We deal with abstract elementary classes K which has amalgamation in λ, categorical in λ and in λ. Our main result is that if (iω ≤ 2 < 2 + and) the minimal types on members of Kλ are not dense (among non algebraic (complete) types over models in Kλ, extending our given model), then the number of models in K of cardinality λ is maximal. For this we deal with some claims in pcf. This improves a ...

The Leishmania tarentolae mitochondrial ribosome (Lmr) is a minimal ribosomal RNA (rRNA)-containing ribosome. We have obtained a cryo-EM map of the Lmr. The map reveals several features that have not been seen in previously-determined structures of eubacterial or eukaryotic (cytoplasmic or organellar) ribosomes to our knowledge. Comparisons of the Lmr map with X-ray crystallographic and cryo-EM...

We present a method for estimating the minimal periodic orbit structure, the topological entropy and a fat representative of the homeomorphism associated to the existence of a finite collection of periodic orbits of an orientation preserving homeomorphism of the disk D. The method focuses on the concept of fold and recurrent bogus transition and is more direct than existing techniques. In parti...

The endoplasmic reticulum (ER) in live cells is a highly mobile network whose structure dynamically changes on a number of timescales. The role of such drastic changes in any system is unclear, although there are correlations with ER function. A better understanding of the fundamental biophysical constraints on the system will allow biologists to determine the effects of molecular factors on ER...

In this chapter we review automated methods of protein NMR data analysis and expand on the assignment-independent CLOUDS approach. As presented, given a set of reliable NOEs it is feasible to derive a spatial H-atom distribution that provides a low-resolution image of the protein structure. In order to generate such a list of unambiguous NOEs, a probabilistic assessment of the NOE identities (i...