We study the effect of wave function orthogonality in the rela-tivistic treatment of the nucleon removal reactions (γ, p) and (e, e ′ p). The continuum wave function describing the outgoing nucleon is made orthogonal to the relevant bound states using the Gram-Schmidt procedure. This procedure has the advantage of preserving the asymp-totic character of the continuum wave function and hence the...

Network traffic matrix estimation is an ill-posed linear inverse problem: it requires to estimate the unobservable origin destination flows, X, given observable link Y, and a binary routing matrix, A, which are such that Y=AX. This challenging but vital problem as accurate of OD flows required for several network management tasks. In this paper, we propose novel model maps high-dimension low-di...

We present a short proof for the fact that if smooth real Banach spaces of dimension three or higher have isomorphic Birkhoff–James orthogonality structures, then they are (linearly) isometric to each other. This generalizes results Koldobsky and Wójcik. Moreover, in an arbitrary dimension, we construct examples non-isometric pairs non-smooth admit norm preserving homogeneous bicontinuous prese...

Quantum computers are important examples of processes whose evolution can be described in terms of iterations of single step operators or their adjoints. Based on this, Hamiltonian evolution of processes with associated step operators T is investigated here. The main limitation of this paper is to processes which evolve quantum ballistically, i.e. motion restricted to a collection of noninterse...

In this article, a multiuser single carrier frequency division multiple access (SC-FDMA) system is considered, based on which an adaptive subcarrier and bit allocation algorithm is investigated. The algorithm has been used to achieve a subcarrier mapping mode in this system, which combines the advantages of singleand multi-carrier transmissions, such as, low peak to average power ratio, orthogo...

We present some improvements of a previous environment mapping work. Firstly, we relax a previous restriction about the environment orthogonality. And secondly, we increase the environment coverage by extending occupancy information in the map. Finally, some results show how that extension process yields to safer paths when extended maps are used for planning.

In this article, we introduce the notion of two-sided quaternion wave-packet transform which inherits advantages both windowed Fourier and wavelet transforms with some additional promising features. The preliminary analysis encompasses derivation fundamental properties including, orthogonality relation, energy preserving inversion formula range theorem by utilizing machinery transforms. Besides...

A b s t r a c t . We consider transformations (performed by general recursive operators) mapping recursive functions into recursive functions. These transformations can be considered as mapping sets of recursive functions into sets of recursive functions. A transformation is said to be preserving the identification type I, if the transformation always maps/-identifiable sets into/-identifiable ...