A compact Riemann surface of genus g, g > 1, can be decomposed into pairs of pants, i.e., into three hole spheres, by cutting the surface along 3g 3 simple closed non{intersecting geodesic curves. These curves can always be chosen in such a way that their hyperbolic lengths are bounded by 21g ([7]). First length controlled decompositions of Riemann surfaces into pairs of pants were found by Lip...

We report on the non-destructive measurement of Young's modulus thin-film single crystal beta gallium oxide (beta-Ga2O3) out its nanoscale mechanical structures by measuring their fundamental mode resonance frequencies. From measurements, we extract in (100) plane, EY,(100) = 261.4+/-20.6 GPa, for beta-Ga2O3 nanoflakes synthesized low-pressure chemical vapor deposition (LPCVD), and [010] direct...

Introduction 2 • PTIME decidable uniform word problems for quasi-varieties • CS applications: type inference systems, program analysis, decision procedures in ATP • fundamental effective methods for establishing PTIME upper bounds • local theories (Givan, McAllester 92) capture PTIME • algebraic criteria by Skolem (1920), Evans (1951), and Burris (1995) • relation between these criteria Introdu...

A novel feature of the ${\mathbb Z}_2\times {\mathbb Z}_2$-graded supersymmetry which finds no counterpart in ordinary is presence $11$-graded exotic bosons (implied by existence two classes parafermions). Their interpretation, both physical and mathematical, presents a challenge. The role "exotic bosonic coordinate" was not considered previous works on one-dimensional superspace (which restric...

We consider a specific random graph which serves as disordered medium for particle performing biased walk. Take two-sided infinite horizontal ladder and pick spanning tree with certain edge weight $c$ the (vertical) rungs. Now take walk on that bias $\beta>1$ to right. In contrast other graphs considered in literature (random percolation clusters, Galton-Watson trees) this one allows an explici...

Background: Sickle cell anemia is relatively common in Khuzestan province located in Southwest Iran. The characteristics of sickle cell disease in Iran are apparently different from other regions some of these characteristics might be related to β-chain haplotypes. The purpose of this study was to determine the frequency of β-chain haplotypes in 50 patients with homozygous sickle cell anemia in...