In this paper, we introduce and study the localization of stability and p-frame properties of a finitely generated shiftinvariant system in the Fourier domain, and then provide more information to that shift invariant system. Especially for a shiftinvariant system generated by finitely many compactly supported functions, we show that it has p-frame property at almost all frequencies, and that i...

The descendant set desc(α) of a vertex α in a digraph D is the set of vertices which can be reached by a directed path from α. A subdigraph of D is finitely generated if it is the union of finitely many descendant sets and D is descendant-homogeneous if it is vertex transitive and any isomorphism between finitely generated subdigraphs extends to an automorphism. We consider connected descendant...

Abstract We provide an algorithm to approximate a finitely supported discrete measure μ by ν N corresponding set of points so that the total variation between and has upper bound. As consequence if is (finite or infinitely supported) probability on [0, 1] d with sufficient decay rate weights each point, then can be approximated variation, hence star-discrepancy, bounded above (log ) − 1 . Our r...

Proton Exchange Membrane (PEM) water electrolysis (WE) produces H2 with a high degree of purity, requiring only and energy. If the energy is provided from renewable sources, it releases “Green H2”, CO2-free H2. PEMWE uses expensive rare noble metal catalysts, which hinder their use at large industrial scale. In this work, electrocatalytic properties Transition Metal Phosphides (TMP) catalysts s...

the supercapacitive behavior of polyaniline/mno2-carbon black (pani/mno2-cb), mno2-cb nanocompositesand cb was studied. mno2-cb made by the in situ direct coating method to deposit mno2 onto cb; then pani coating was coated on it. morphology of the nanocomposite was studied by x-ray diffraction (xrd), fourier transform infrared (ft-ir) spectroscopy and scanning electron microscopy (sem). the el...

In this paper, we completely describe those recurrence sequences which have infinitely many terms in the solution sets of generalized Pell equations. Further, give an upper bound for number such when there are only finitely them.

The increasing use of digital technologies has significantly reshaped marketing and consumer behavior (CB) as online communities cutting-edge innovations such artificial intelligence (AI) disrupt advance attitudes on specific products services. As such, that are supported by AI creating new knowledge from interactions through platforms like social media consumers share experiences or Since is d...

We construct a fundamental domain omega for an arbitrary lattice [unk] in a real rank one, real simple Lie group, where omega has finitely many cusps (i.e., is a finite union of Siegel sets) and has the Siegel property (i.e., the set {gamma [unk] [unk]|omegagamma [unk] omega [unk] varphi} is finite). From the existence of omega we derive a number of consequences. In particular, we show that [un...

This paper is a note on how Information Theory and Codification Theory are helpful in the computational design both of communication protocols and strategy sets in the framework of finitely repeated games played by boundedly rational agents. More precisely, we show the usefulness of both theories to improve the existing automata bounds of Neyman’s (1998) work on finitely repeated games played b...

In this paper the inverse resonance problem for the Hermite operator is investigated. The Hermite operator H = a + a∗ + b with the creation operator a, the annihilation operator a∗, and a finitely supported multiplication operator b, is an unbounded operator on `(N0) having finitely many eigenvalues and infinitely many resonances (except for b = 0 when there are no eigenvalues or resonances). I...