Visual attention prioritizes information presented at particular spatial locations. These locations can be defined in reference frames centered on the environment or on the viewer. This study investigates whether incidentally learned attention uses a viewer-centered or environment-centered reference frame. Participants conducted visual search on a monitor laid flat on a tabletop. During trainin...

In this work, we establish two types of double inequalities for g-frames in Hilbert [Formula: see text]-modules, which involve scalars [Formula: see text] and [Formula: see text] respectively. It is shown that the results we obtained can immediately lead to the existing corresponding results when taking [Formula: see text].

The Banach frame for a Banach space  can reconstruct each vector in  by the pre-frame operator or the reconstruction operator. The Banach Λ-frame for operator spaces was introduced by Kaushik, Vashisht and Khattar [Reconstruction Property and Frames in Banach Spaces, Palestine Journal of Mathematics, 3(1), 2014, 11-26]. In this paper we give necessary and sufficient conditions for the existen...

In this expository paper we present various general extensions of the celebrated Wiener’s Tauberian Lemma, outline several ingredients that are often used in proofs and discuss a few applications to localization of frames.

An interferometric synthetic aperture microscopy (ISAM) system design with real-time 2D cross-sectional processing is described in detail. The system can acquire, process, and display the ISAM reconstructed images at frame rates of 2.25 frames per second for 512 X 1024 pixel images. This system provides quantitatively meaningful structural information from previously indistinguishable scatterin...

The effect of positive versus negative frames on risky choice was examined for a variety of scenarios and risks. Preferences in the positive domain were strong and mainly risk averse, with notable exceptions. Preferences in the negative domain, however, were marked by their inconsistency, shown both by an overwhelming lack of significant majority preferences and a surprisingly strong tendency o...

OBJECTIVES Recent literature indicates that there is an inconsistent use of theory to guide clinical actions by occupational therapists, including those working in pediatrics. The purpose of this study was to describe school-based therapists' theory application by collecting information about what frames of reference they used and why. METHOD Of the 72 school-based therapists in the mid-Atlan...

It has been documented that when memorizing a physical space, the person's mental representation of that space is biased with distortion and segmentation. Two experiments reported here suggest that distortion and segmentation arise due to a hierarchical organization of the spatial representation. The spatial relations associated with salient landmarks are more strongly encoded and easier to rec...

We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential invariant. The proof is based on the equivariant method of moving frames.

The authors analysed almost 260 000 measurement points from surveys of radiofrequency (RF) field strengths near radio base stations in seven African countries over two time frames from 2001 to 2003 and 2006 to 2012. The results of the national surveys were compared, chronological trends investigated and potential exposures compared by technology and with frequency modulation (FM) radio. The key...