We propose a generalized method, called as the Matrix method, for computation of the coefficients of multivariate Bernstein polynomials. The proposed Matrix method involves only matrix operations such as multiplication, inverse, transpose and reshape. For a general box-like domain, the computational complexity of the proposed method is O(n) in contrast to O(n) for existing methods. We conduct n...

This paper proposes a connection weighting scheme of a complex-valued Hopfield neural network for associative memory constrained by given attractive domain. Both equilibrium conditions and stability analysis results are used in the synthesis procedure. We solve the equilibrium equation by singular value decomposition technique and obtain a general solution of the connection weight matrix with a...

We provide a description of virtual non-local matrix product operator (MPO) symmetries in projected entangled pair state (PEPS) representations string-net models. Given such PEPS representation, we show that the consistency conditions its MPO amount to set six coupled equations can be identified with pentagon bimodule category. This allows us classify all equivalent and build intertwiners betwe...

Describing a quantum impurity coupled to one or more non-interacting fermionic reservoirs is paradigmatic problem in many-body physics. While historically the focus has been on equilibrium properties of impurity-reservoir system, recent experiments with mesoscopic and cold-atomic systems enabled studies highly non-equilibrium models, which require novel theoretical techniques. We propose an app...

Collagen type XI is a quantitatively minor but developmentally essential component of the extracellular matrix and as a secreted protein is subject to a variety of posttranslational modifications. These modifications have been shown to influence the affinity of endogenous binding between collagen XI and various extracellular matrix components. The three dimensional structure of the amino termin...