We consider Gabor systems generated by a Gaussian function and prove certain classical results of Paley and Wiener on nonharmonic Fourier series of complex exponentials for the Gabor expansion‎. ‎In particular, we prove a version of Plancherel-Po ́lya theorem for entire functions with finite order of growth and use the Hadamard factorization theorem to study regularity‎, ‎exactness and deficienc...

The current paper is dedicated to the problem of finding the number of mutually non isomorphic bipartite graphs of the type g = 〈Rg, Cg, Eg〉 at given n = |Rg | and m = |Cg |, where Rg and Cg are the two disjoint parts of the vertices of the graphs g, and Eg is the set of edges, Eg ⊆ Rg ×Cg. For this purpose, the concept of canonical binary matrix is introduced. The different canonical matrices ...

We investigate the system of a particle moving on a half line x ≥ 0 under the general walls at x = 0 that are permitted quantum mechanically. These quantum walls, characterized by a parameter L, are shown to be realized as a limit of regularized potentials. We then study the classical aspects of the quantum walls, by seeking a classical counterpart which admits the same time delay in scattering...

Gillespie’s Stochastic Simulation Algorithm (SSA) is an exact procedure for simulating the evolution of a collection of discrete, interacting entities, such as coalescing aerosol particles or reacting chemical species. The high computational cost of SSA has motivated the development of more efficient variants, such as Tau-Leaping, which sacrifices the exactness of SSA. For models whose interact...

In this work we have analyzed changes in the heart rate variability (HRV) during exercise test comparing them with the ST deviation criteria to improve the diagnostic value of the exercise test. Coronary angiography was considered as gold standard to establish the classification of patients in two groups (ischemic and non-ischemic). ST deviations and HRV indexes were automatically measured and ...

In the current scenario, diabetes is considered as a widely spread disease globally. This issue matter of great concern and spreading at an alarming rate across country. We can analyse, visualize data appropriately forecast chances having for person, with highest level accuracy exactness. indefatigable investigation papers aim to analyze, compare different neural networks, machine learning algo...

The structure of the isometric representations of unital discrete semi-groups with the left cancellation property and no divisors of the identity is studied. We obtain Wold decompositions and prove that the left regular representation of such semigroups is irreducible.