Given the set of square matrices M ⊂ Mn+m(C) that keep the subspace W = Cnx{0} ⊂ C invariant, we obtain the implicit form of a miniversal deformation of a matrix a ∈ M, and we compute it explicitely when this matrix is marked (this is, if there is a permutation matrix p ∈ Mn+m(C) such that p−1ap is a Jordan matrix). We derive some applications to tackle the classical Carlson problem.

Composed of square particles, the tetratic phase is characterized by a fourfold symmetry with quasi-long-range orientational order but no translational order. We construct the elastic free energy for tetratics and find a closed form solution for ±1/4 disclinations in planar geometry. Applying the same covariant formalism to a sphere, we show analytically that within the one elastic constant app...

Non-geometric string backgrounds were proposed to be related to a nonassociative deformation of the space-time geometry. In the flux formulation of double field theory (DFT), the structure of mathematically possible non-associative deformations is analyzed in detail. It is argued that on-shell there should not be any violation of associativity in the effective DFT action. For imposing either th...

Conventional wisdom dictates that synchronous context-free grammars (SCFGs) must be converted to Chomsky Normal Form (CNF) to ensure cubic time decoding. For arbitrary SCFGs, this is typically accomplished via the synchronous binarization technique of (Zhang et al., 2006). A drawback to this approach is that it inflates the constant factors associated with decoding, and thus the practical runni...

Beam models are widely applied in civil engineering, transport, and industry because the beams basic structural elements. When dealing with high-order modes of beam context applying modal analysis method, numerical instability issue affects numeric simulation accuracy many boundary conditions. There two solutions literature to overcome this shortcoming, namely refinement asymptotic form for hig...

aacel9a [β-1,4-endoglucanase, (e.c:3.2.1.4)], was immobilized onto glutaraldehyde activated chitosan macrosphere by covalent attachment. the properties of the immobilized aacel9a were investigated by determining the optimum ph and optimum temperature for activity, thermal stability, and kinetic parameters. the immobilization process shifted the enzyme’s optimum temperature from 65 °c for the fr...