Introduction: One of the major causes of image non-uniformity in MRI is due to the existence of  non-homogeneity in RF receive and transmit. This can be the most effective source of error in  quantitative  studies  in  MRI  imaging.  Part  of  this  non-homogeneity  demonstrates  the  characteristics of RF coil and part of it is due to the interaction of RF field with the material being  imaged...

It is proved that no region of a homogeneous locally compact, locally connected metric space can be cut by an Fσ-subset of a “smaller” dimension. The result applies to different finite or infinite topological dimensions of metrizable spaces. The classical Hurewicz-Menger-Tumarkin theorem in dimension theory says that connected topological n-manifolds (with or without boundary) are Cantor manifo...

We present a consistent, geometric notion of homogeneity, for vector elds (diierential equations and control systems), functions, diierential forms and endomorphisms. The fundamental observation is that homogeneity is an intrinsic, geometric property. Accordingly, a coordinate-free characterization is given, and shown to yield the desired/expected results. This also addresses: \When do there ex...

The notion of geometric homogeneity is extended for differential inclusions. This kind of homogeneity provides the most advanced coordinate-free framework for analysis and synthesis of nonlinear discontinuous systems. The main qualitative properties of continuous homogeneous systems are extended to the discontinuous setting: the equivalence of the global asymptotic stability and the existence o...

Sufficient as well as necessary conditions are studied for a dendrite or a dendroid to be homogeneous with respect to monotone mappings. The obtained results extend ones due to H. Kato and the first named author. A number of open problems are asked.

The layout of functional cortical maps exhibits a high degree of interindividual variability that may account for individual differences in sensory and cognitive abilities. By quantitatively assessing the interindividual variability of orientation preference columns in the primary visual cortex, we demonstrate that column sizes and shapes as well as a measure of the homogeneity of column sizes ...

Introduction: The improved SNR at 7T provides significant advantages for both H and lower gyromagnetic nuclei such as P, Na and C (X nuclei). Double resonant volume head coils, based on both birdcage (1-3) and TEM (4) designs have been previously used at lower magnetic fields. However at 7T, transceiver phased arrays provide significant advantages for both B1 homogeneity and transmit efficiency...

We discuss noise-induced pattern formation in different two-dimensional networks of nonlinear oscillators, namely a sequence of biochemical reactions and the Lorenz system. The main focus of the work is on the dependence of these patterns on the correlation time (i.e., the color) of exponentially correlated Gaussian noise. It is seen that in the nonchaotic case, the homogeneity (or average clus...

The relative intelligibility of the revised CID W-1 spondaic word list, as developed and recommended for clinical use by ASHA, was evaluated in two experiments. In Experiment 1, the revised W-1s were presented via monitored live voice to 25 subjects with normal hearing. Mean minimum recognition levels for each of the 36 spondees varied between 16.8 and 25.2 dB SPL, a range of 8.4 dB. In Experim...

We examined different model specifications to detect the presence of preference heterogeneity in a mode choice context. The specification that worked best allows for both systematic and random variations in tastes, with parameters obtained at the individual level using Bayesian methods. Subjective values of travel time (SVT) and expected individual compensated variation were derived and aggrega...