This paper deals with the introduction of an approach for the electromagnetic characterization of homogeneous chiral layers. The proposed method is based on the state-space approach and properties of a 4×4 state transition matrix. Based on this, first, the forward problem analysis through the state-space method is reviewed and properties of the state transition matrix of a chiral layer are pres...

Recovery of the initial state of a high-dimensional system can require a large number of measurements. In this paper, we explain how this burden can be significantly reduced when randomized measurement operators are employed. Our work builds upon recent results from Compressive Sensing (CS). In particular, we make the connection to CS analysis for random block diagonal matrices. By deriving Con...

We propose a Dynamical Boolean Network (DBN), which is a Boolean network whose set of states is fixed but whose transition matrix can change from one discrete time step to another. At any time step, the transition matrix of our DBN is of the formQ−1TQ, where T is a transition matrix defined in the course of the construction of our DBN and Q is the matrix representation of some permutation P of ...

Transition rates, oscillator strengths, and line strengths are calculated for electric-dipole(E1) transitions between even-parity 3s3p, 3s3d, 3p3d, 3d3s and 3d states and odd-parity3s3p, 3p, 3s3p3d, and 3d3p states in Al-like ions with the nuclear charges ranging fromZ = 15 to 100. Relativistic many-body perturbation theory (MBPT), including the Breitinteraction, is used to eval...

Transition rates, oscillator strengths, and line strengths are calculated for the 49 possible electric-dipole transitions between the eight even-parity 2s2p states and the seven odd-parity 2s2p and 2p states in boronlike ions with nuclear charges ranging from Z56 to 100. Relativistic many-body perturbation theory ~MBPT!, including the Breit interaction, is used to evaluate retarded E1 matrix el...

Recurrent Neural Networks (RNNs) have been successfully used in many applications. However, the problem of learning long-term dependencies in sequences using these networks is still a major challenge. Recent methods have been suggested to solve this problem by constraining the transition matrix to be unitary during training, which ensures that its norm is exactly equal to one. These methods eit...

Transition matrices, containing credit risk information in the form of ratings based on discrete observations, are published annually by rating agencies. A substantial issue arises, as for higher rating classes practically no defaults are observed yielding default probabilities of zero. This does not always reflect reality. To circumvent this shortcoming, estimation techniques in continuous-tim...

The goal of the research described in this paper is to derive parameters necessary for the automatic generalization of land-cover maps. A digital land-cover map is often given as a partition of the plane into areas of different classes. Generalizing such maps is usually done by aggregating small areas into larger regions. This can be modeled using cost functions in an optimization process, wher...

ABSTRACT: Hamiltonian and Schrödinger evolution equations on finitedimensional projective space are analyzed in detail. Hartree-Fock (HF) manifold is introduced as a submanifold of many electron projective space of states. Evolution equations, exact and linearized, on this manifold are studied. Comparison of matrices of linearized Schrödinger equations on many electron projective space and on t...

drought is one of the most important weather-induced phenomena which may have severe impacts on different areas such as agriculture, economy, energy production, and society. a number of drought indices have been introduced and used in various countries to date. in the current study, four meteorological drought indices including percent of normal precipitation index (pnpi), standard index of ann...