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...

Finding a vacant parking space in a congested area, such as shopping mall, airport, etc., is always time-consuming and frustrating for drivers. Real-time parking information can avoid vehicles being cruising on the roads. However, when the drivers are acquiring parking information, their privacy is inevitable to be disclosed. In this paper, to minimize drivers’ hassle and preserve drivers’ priv...

Proof-of-retrievability schemes have been a topic of considerable recent interest. In these schemes, a client C gives a file M to a server S with the understanding that S will securely store M . A suitable challenge-response protocol is invoked by C in order for C to gain confidence that M is indeed being correctly stored by S. The definition of proof-of-retrievability schemes is based on the n...

In this paper, we study continuous frames from projective representations of locally compact abelian groups type $$\widehat{G}\times G$$ . particular, using the Fourier transform on groups, obtain a characterization maximal spanning vectors. As an application, for G, compactly generated Euclidean group or local field with odd residue characteristic, prove existence vectors, hence phase retrieva...

This retrospective study investigated the outcome of 73 telescopic implant-supported fixed prostheses. Fifty-four prostheses were entirely cement-retained, and 19 incorporated a screw-clamping unit. The rate of complications was low and in most cases minor in nature. Cement-retained prostheses involving a distal cantilevered extension required the greatest postoperative maintenance. Despite the...

Screw-retained implant restorations have an advantage of predictable retention as well as retrievability, and obviate the risk of excessive sub-gingival cement commonly associated with cement retained implant restorations. Screw-retained restorations generally have screw access holes, which can compromise esthetics and weaken the porcelain around the holes. The purpose of this study is to descr...

Proofs of Retrievability (POR) and Data Possession (PDP) are cryptographic protocols that enable a cloud provider to prove that data is correctly stored in the cloud. PDP have been recently extended to enable users to check in a single protocol that additional file replicas are stored as well. To conduct multi-replica PDP, users are however required to process, construct, and upload their data ...

Making judgments about the retrievability of information is a critical part of the metamemory processes engaged during remembering. A recent study of patients with frontal lesions suggests that ventral medial prefrontal cortex (VMPC) plays a critical role in such judgments [Schnyer, D. M., Verfaellie, M., Alexander, M. P., Lafleche, G., Nicholls, L., & Kaszniak, A. W. A role for right medial pr...