Economy and safety are two important components in structural design process and stablishing a balance between them indeed results in improved structural performance specially in large-scale structures including space lattice domes. Topology optimization of geometrically nonlinear single-layer lamella, network, and geodesic lattice domes is implemented using enhanced colliding-bodies optimizati...

The coefficients of the chain polynomial a finite poset enumerate chains in by their number elements. polynomials partition lattices and standard type \(B\) analogues are shown to have only real roots. real-rootedness is conjectured for all geometric be preserved pyramid prism operations on Cohen-Macaulay posets. As result, new families convex polytopes whose barycentric subdivisions real-roote...

In this short note we give a construction of an infinite series of Delone simplices whose relative volume grows super-exponentially with their dimension. This dramatically improves the previous best lower bound, which was linear. BACKGROUND Consider the Euclidean space Rd with norm ‖ · ‖ and a discrete subset Λ ⊂ Rd. A d-dimensional polytope L = conv{v0, . . . ,vn} with v0, . . . ,vn ∈ Λ is cal...

in this article, we suggested a novel design of polarization splitter based on coupler waveguide on inp substrate at 1.55mm wavelength. photonic crystal structure is consisted of two dimensional (2d) air holes embedded in inp/ingaasp material with an effective refractive index of 3.2634 which is arranged in a hexagonal lattice. the photonic band gap (pbg) of this structure is determined using t...

This is a pedagogical review of the subject of linear polymers on deterministic finitely ramified fractals. For these, one can determine the critical properties exactly by real-space renormalization group technique. We show how this is used to determine the critical exponents of self-avoiding walks on different fractals. The behavior of critical exponents for the n-simplex lattice in the limit ...

We report RBC and RBC/UKQCD lattice QCD numerical calculations of nucleon electroweak matrix elements with dynamical domain-wall fermions (DWF) quarks. The first, RBC, set of dynamical DWF ensembles employs two degenerate flavors of DWF quarks and the DBW2 gauge action. Three sea quark mass values of 0.04, 0.03 and 0.02 in lattice units are used with about 200 gauge configurations each. The lat...

We investigate the mass of the parity partner N(1/2) of the nucleon N(1/2), in lattice QCD using a new lattice discretization scheme for fermions, domain wall fermions (DWF). DWF possess exact chiral symmetry and flavor symmetry, both of which are required for this problem, even at finite lattice spacing. Our calculation reproduces the large mass splitting between those two states, in good agre...