Non-Hermitian theory is a theoretical framework used to describe open systems. It offers powerful tool in the characterization of both intrinsic degrees freedom system and interactions with external environment. The non-Hermitian consists mathematical structures that are fundamentally different from those Hermitian theories. These not only underpin novel approaches for precisely tailoring syste...

We calculate the Chern classes and Chern numbers for the natural almost Hermitian structures of the partial flag manifolds Fn = SU(n + 2)/S(U(n) × U(1) × U(1)). For all n > 1 there are two invariant complex algebraic structures, which arise from the projectivizations of the holomorphic tangent and cotangent bundles of CP. The projectivization of the cotangent bundle is the twistor space of a Gr...

The second order sequential best rotation (SBR2) algorithm was originally developed for achieving the strong decorrelation of convolutively mixed sensor array signals. It was observed that the algorithm always seems to produce spectrally majorized output signals, but this property has not previously been proven. In this work, we have taken a fresh look at the SBR2 algorithm in terms of its pote...

BACKGROUND The cavernous sinus communicates with several para-cavernous sinus venous structures, receiving blood flow from the superficial middle cerebral vein (SMCV), the sphenoparietal sinus (SPS), and the superior ophthalmic vein, and draining into the superior and inferior petrosal sinuses and pterygoid and basilar plexuses. Anatomic variations of these veins have been previously reported; ...

1. Para-f -structures. The notion of a para-f -structure on a differentiable manifold was introduced and studied in [2]. Let M be an n-dimensional differentiable manifold of class C∞. The set of all vector fields on M will be denoted by χ(M) and the tangent space of M at a point m∈M by TmM . Definition 1.1. Let M be an n-dimensional differentiable manifold. If φ is an endomorphism field of cons...

In the band theory for non-Hermitian systems, energy eigenvalues, which are complex, can exhibit non-trivial topology is not present in Hermitian systems. one dimension, it was recently noted theoretically and demonstrated experimentally that eigenvalue classified by braid group. The classification of higher dimensions, however, remained an open question. Here, we give a complete description tw...