Hedgehog proteins are secreted morphogens that play critical roles in development and disease. During maturation of the proteins through the secretory pathway they are modified by the addition of N-terminal palmitic acid and C-terminal cholesterol moieties, both of which are critical for their correct function and localisation. Hedgehog acyltransferase (HHAT) is the enzyme in the endoplasmatic ...

Huth Topological analysis of refinement

This paper explores the new and growing field of topological data analysis (TDA). TDA is a data analysis method that provides information about the ’shape’ of data. The paper describes what types of shapes TDA detects and why these shapes having meaning. Additionally, concepts from algebraic topology, the mathematics behind TDA, will be discussed. Specifically, the concepts of persistent homolo...

This talk fits into the general topic of 'stratification learning,' wherein one tries to make inferences about data based on some assumption that it is sampled from a mixture of manifolds glued together in some nicely-structured way. The theoretical tool of persistent local homology (PLH), now more than five years old, provides a useful way to understand the local singularity structure of the i...

Scientific data is often in the form of a finite set of noisy points, sampled from an unknown space, and embedded in a high-dimensional space. Topological data analysis focuses on recovering the topology of the sampled space. In this chapter, we look at methods for constructing combinatorial representations of point sets, as well as theories and algorithms for effective computation of robust to...

the x-ray charge density analysis of a hydroxynaphthoquinnne derivative was obtained by multipolar hansen-coppens formalism refinement through high resolution x-ray diffraction data at 100(1) k. the molecularproperties of the title compound resulted from the combined experimental and the quantum theory of atoms inmolecules (qtaim) studies. the topological properties of the covalent bonds and of...

in this work, we introduce notion of connectedness on fuzzy soft topological spaces and present fundamentals properties. we also investigate effect to fuzzy soft connectedness. moreover, c_i-connectedness which plays an important role in fuzzy topological space extend to fuzzy soft topological spaces.

In this paper we introduce the concept of topological number for locally convex topological spaces and prove some of its properties. It gives some criterions to study locally convex topological spaces in a discrete approach.

In this paper, we study the separtion axioms $T_0,T_1,T_2$ and $T_{5/2}$ on topological and semitopological residuated lattices and we show that they are equivalent on topological residuated lattices. Then we prove that for every infinite cardinal number $alpha$, there exists at least one nontrivial Hausdorff topological residuated lattice of cardinality $alpha$. In the follows, we obtain some ...