This paper describes the application of a first order regularization technique to the problem of reconstruction of visible surfaces. Our approach is a computationally efficient first order method that simultaneously achieves approximate in\ nriance and preservation of discontinuities. Our reconstruction method is also robust with respect to the smoothing parameter The robustness property to I a...

A translation surface is a compact surface with a geometric structure. Translation surfaces arise in complex analysis, the classification of surface diffeomorphisms and the study of polygonal billiards. This structure can be defined via complex analytic methods (where it is called an abelian differential). It can also be described as a pair of measured foliations but for our purposes the follow...

a common method to determine the order of minimal realization of a continuous linear time invariant descriptor system is to decompose it into slow and fast subsystems using the weierstrass canonical form. the weierstrass decomposition should be avoided because it is generally an ill-conditioned problem that requires many complex calculations especially for high-dimensional systems. the present ...

The goal of this paper is to present a modified version (GML) of ML invariant which should take into account rulings over a projective base and allow further stratification of smooth affine rational surfaces. We provide a non-trivial example where GML invariant is computed for a smooth affine rational surface admitting no C-actions. We apply GML invariant to computing ML invariant of some three...

I T IS an established fact that class II molecules play a crucial role in the initial recognition of foreign antigens.1.2 Exogenous antigen peptide and these class II molecule a-, /3-chain complexes are recognized by the T-cell receptor. On the other hand, in cytoplasm, the invariant chain, which is a nonpolymorphic peptide, binds the class II molecules and prevents the binding of endogenous pe...

Condensed matter realization of a single Dirac cone fermions in two dimensions is long-standing issue. Here we report the discovery gapless half-quantized Hall conductance magnetically doped topological insulator heterostructure. It demonstrates that unit ${e}^{2}/h$ when parity symmetry preserved near Fermi surface. The point stable and protected by local topologically nontrivial band structur...