Persistent homology is a powerful tool in topological data analysis (TDA) to compute, study, and encode efficiently multi-scale features being increasingly used digital image classification. The represent number of connected components, cycles, voids that describe the shape data. extracts birth death these through filtration process. lifespan can be represented using persistent diagrams (topolo...

in the crystal structure of the title polymeric compound, [c42h38n6o33sr5.2(h2o)]n, five independent metal atoms (sr1-sr5) have different coordination environments. the sr1 and sr5 atoms are nine coordinated and feature distorted tricapped trigonal-prismatic and capped square-antiprismatic geometries, respectively. the rest srii atoms have eight coordination numbers. these units are connected v...

A wide variety of models for concurrent programs has been proposed during the past decades, each one focusing on various aspects of computations: trace equivalence, causality between events, conflicts and schedules due to resource accesses, etc. More recently, models with a geometrical flavor have been introduced, based on the notion of cubical set. These models are very rich and expressive sin...

We associate to a Hausdorff space, X, a double groupoid, ρ 2 (X), the homotopy double groupoid of X. The construction is based on the geometric notion of thin square. Under the equivalence of categories between small 2-categories and double categories with connection given in [BM] the homotopy double groupoid corresponds to the homotopy 2-groupoid, G2(X), constructed in [HKK]. The cubical natur...

Crystal morphology is a critical determinant of the physical properties of crystalline materials. Face-specific growth rates can be used to compute dynamic and steady-state morphologies of crystals growing in a specific environment. The synthesis of crystals with desired morphologies requires a framework to guide the selection of environmental conditions. The framework developed here utilizes c...

The crystal structure of antimonian asbecasite in an ejectum of hypabyssal origin occurring at Tre Croci near Vetralla, Vico volcanic complex, Roman potassic province, Latium, Italy, has been refined to R = 0.042, and is compared to the original crystal structure determination carried out on the Sb-free asbecasite of hydrothermal metamorphic origin from the type-locality, Cherbandung in Binna v...

Recently, photonic crystals doped with liquid crystal (LC) material havegained much research interest. In this article new ternary one-dimensional photoniccrystal introduced and studied. The liquid crystal layer of 5CB and 5PCH is sandwichedby two dielectric layers. For the first time, we use four structures SiO2/UCF35/CaF2,SiO2/5CB/CaF2, NFK51/UCF35/NPSK53 and NFK51/5CB/NPSK53. The effect ofte...

In this paper we combined an optical mixer via photonic crystal ringresonator to propose an all optical 1 to 2 decoder. The main idea used in this paper isbased on controlling the optical behavior of the resonant ring via optical powerintensity. We know that resonant wavelength of the photonic crystal ring resonator isvery sensitive upon the refractive index of dielectric rods, on the other had...