We construct a generator system of the annihilator of a generalized Verma module of a classical reductive Lie algebra induced from a character of a parabolic subalgebra as an analogue of the minimal polynomial of a matrix. In a classical limit it gives a generator system of the defining ideal of any semisimple co-adjoint orbit of the Lie algebra. We also give some applications to integral geome...

Given a d× d expansive dilation matrix D, a measurable set E ⊂ R d is called a Dt-dilation generator of Rd if Rd is tiled (modulo null sets) by the collection {(Dt)jE, j ∈ Z}. Our main goal in this paper is to prove certain results relating the support of the Fourier transform of functions generating a wavelet or orthonormal affine system associated with the dilation D to an arbitrary set E whi...

In this paper, we discuss Reed-Muller codes using a set-theoretic approach. We present a new basis of minimum weight codewords which correspond to subspaces of a fixed dimension of affine geometry over GF (2). A generator matrix in standard form is also given. Index Words: Reed-Muller codes, Basis of minimum weight codewords, Incidence matrix, Standard form MR Subject Classification: 94B05, 05B20

We present a computer code that analytically evaluates the matrix elements of the microscopic nuclear Hamiltonian and unity operator between Slater determinants of displaced gaussian single particle orbits. Such matrix elements appear in the generator coordinate model and the resonating group model versions of the microscopic multicluster calculations.

Compressed sensing (CS) is being widely used to compress and reconstruct data for processing electrocardiogram (ECG) signals obtained through Wireless Body Area Networks. However, the conventional measurement matrix generator compression computations CS are in parallel, resulting significant power consumption a large area. This paper proposes serial generator, which reduces clock frequencies by...

In this paper, we use the exact model (or dynamical system approach) to describe the standard evolutionary algorithm (EA) as a discrete dynamical system for dynamic optimization problems (DOPs). Based on this dynamical system model, we analyse the properties of the XOR DOP Generator, which has been widely used by researchers to create DOPs from any binary encoded problem. DOPs generated by this...