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.

Here we propose a novel method to compute surface hyperbolic parameterization for studying brain morphology with the Ricci flow method. Two surfaces are conformally equivalent if there exists a bijective angle-preserving map between them. The Teichmüller space for surfaces with the same topology is a finite-dimensional manifold, where each point represents a conformal equivalence class, and the...

processing map for hot working of ti-if steel has been developed in the temperature range of 750 to 1100 °cand strain rate of 0.01 to 100 s-1. this map in the austenite region exhibits a single domain with a peak efficiencyof 45% occurring at 1025 °c and strain rate of 0.02 s-1. the domain extends over the temperature range of 1000to 1100 °c and strain rate range of 0.01 to 1 s-1. the true stre...

Historical maps often suffer significant deformations of their supporting material of any type. These deformations make it difficult to make an accurate reading of maps in its geometric and semantic context. As invaluable materials of cultural heritage, historical maps, in very many cases (rolled parchments, maps in old books and atlases etc.) cannot be put through a scanning process requiring ...

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...

Settlement is one of the most important deformation characteristics of high concrete faced rockfill dams (CFRDs, >100 m). High CFRDs safety would pose a great threat to the security of people’s lives and property downstream if this kind of deformation were not to be measured correctly, as traditional monitoring approaches have limitations in terms of durability, coverage, and efficiency. It has...