In this paper we study the property of phase retrievability by redundant sysems of vectors under perturbations of the frame set. Specifically we show that if a set F of m vectors in the complex Hilbert space of dimension n allows for vector reconstruction from magnitudes of its coefficients, then there is a perturbation bound ρ so that any frame set within ρ from F has the same property. In par...

BACKGROUND Retrievable filters are increasingly implanted for prophylaxis in patients without pulmonary embolism (PE) but who may be at transient risk. These devices are often not removed after the risk of PE has diminished. This study employs decision analysis to weigh the risks and benefits of retrievable filter use as a function of the filter's time in situ. METHODS Medical literature on p...

This study was undertaken to evaluate the safety and efficacy of retrievable inferior vena cava filters in high-risk orthopaedic patients. A total of 58 patients had a retrievable inferior vena cava filter placed as an adjunct to chemical and mechanical prophylaxis, most commonly for a history of previous deep-vein thrombosis or pulmonary embolism, polytrauma, or expected prolonged immobilisati...

Frame vectors in the tensor product of Hilbert spaces that accomplish phase retrieval can be characterized. In this article, we determine conditions under which may do retrieval. Given two frames always implies a frame spaces, particularly concentrate on finding for spaces.

the purpose of the present work is to introduce the concept of bifuzzy core of a fuzzy automaton, which induces a bifuzzy topology on the state-set of this fuzzy automaton. this is shown that this bifuzzy topology can be used to characterize the concepts such as bifuzzy family of submachines, bifuzzy separable family and bifuzzy retrievable family of a fuzzy automaton.

Syntactic structure is defined in its three components. A survey of prosodist's studies on the relationship between prosody and syntax brings out two major trends: those who think that syntactic structure is immaterial for intonation and those who argue for matching rules between syntax and prosody. The recent studies presented here lend weight to a syntactic-based approach to accounting for in...

1992 Use of inferior vena caval (IVC) filters has proliferated. In 1979, ≈2000 vena caval filters were inserted. In 1999, the number of IVC filters inserted annually had increased ≈25fold to 49 000. Retrievable IVC filters were first approved in 2003 and gained popularity rapidly. By 2006, retrievable IVC filters accounted for about half of all IVC filters that were inserted. The largest propor...

This paper provides a new generalization of fuzzy finite state machines, fuzzy transformation semigroups and their relationship. Consider a cubic structure, we introduce cubic finite state machines, cubic transformation semigroups, cubic successor, cubic exchange properties cubic subsystems, cubic submachines, cubic q-twins, cubic retrievable and study fundamental properties of them. We provide...