One may think of many ways of combining modal logics representing various aspects of an application domain. Two ‘canonical’ constructions, supported by a well-developed mathematical theory, are fusions [17, 6, 7] and products [8, 7]. The fusion L1⊗ · · ·⊗Ln of n ≥ 2 normal propositional unimodal logics Li with the boxes 2i is the smallest multimodal logic in the language with n boxes 21, . . . ...

In this paper, two iterative methods are constructed to solve the operator equation Lu = f where L : H ? is a bounded, invertible and self-adjoint linear on separable Hilbert space H. By using concept of fusion frames, which generalization frame theory, we design some algorithms based Chebyshev polynomials adaptive one according conjugate gradient method, accordingly, then investigate their con...

In this paper, we will present several new results in finite and countable dimensional separable real Hilbert space phase retrieval norm by fusion frames. We characterize of for frames similar vectors show that only one direction holds vector case, every tight frame can do retrieval. Also the unitary operators preserve (norm) retrievability make a detailed study when hyperplanes general result ...

The purpose of this paper is to present a protocol for shoulder complex clinical evaluation using optoelectronic motion analysis device, palpation approach and medical imaging. Final report and patient-specific model visualization are obtained thanks to data fusion. The data of one subject is presented to explain the data fusion methodology. First, a CAST-like (i.e., the A-PALP method) techniqu...

The GCN4 gene encodes a positive regulator of unlinked amino acid biosynthetic genes in yeast. I present evidence that the GCN4 gene is itself regulated by amino acid availability and that the regulation occurs at the translational level. A GCN4-lacZ fusion was used as a measure of the expression of GCN4 gene product. Starvation for histidine leads to derepression of the fusion enzyme in the wi...

The problem of recovering complex signals from low quality sensing devices is analyzed via a combination of tools from signal processing and harmonic analysis. By using the rich structure offered by the recent development in fusion frames, we introduce a framework for splitting the complex information into local pieces. Each piece of information is measured by potentially very low quality senso...

In this note, we give a new one-sided inequality for fusion frames in Hilbert C*-modules, which corrects one corresponding result. We also present some double inequalities which, compared to previous ones on topic, possess different structures.