We give a brief account of the numerical radius of a linear bounded operator on a Hilbert space and some of its better-known properties. Both finiteand infinitedimensional aspects are discussed, as well as applications to stability theory of finite-difference approximations for hyperbolic initial-value problems. 1. DEFINITION, BOUNDS, AND EVALUATION Let H be a Hilbert space over the complex fie...

– The (21̄1̄)〈111〉 twinning energy landscape of BCC Mo is determined using the density functional theory for embryos containing 2 to 7 layers. The 2-layer embryo is metastable, whereas the 3and 4-layer ones are unstable. Layer-by-layer growth starts at 5 layers. The twin boundary formation and migration energies are found to be 607mJ/m and 40mJ/m, respectively, indicating that twin partial disloc...

The psychophysical task of discriminating changes in the slopes of the amplitude spectra of complex images has been used in the past to test whether the human visual system might be optimised for coding the spatial structure in natural images (e.g. Knill et al., 1990; Tadmor & Tolhurst, 1994). We have reported that the dependency of these discrimination thresholds on the reference slope has the...

We present a preliminary study of a new phenomena associated with the Euler-Poisson equations — the so called critical threshold phenomena, where the answer to questions of global smoothness vs. finite time breakdown depends on whether the initial configuration crosses an intrinsic, O(1) critical threshold. We investigate a class of Euler-Poisson equations, ranging from one-dimensional problems...

Images consist of structures of varying scales: large scale structures such as flat regions, and small scale structures such as noise, textures, and rapidly oscillatory patterns. In the hierarchical (BV, L(2)) image decomposition, Tadmor, et al. (2004) start with extracting coarse scale structures from a given image, and successively extract finer structures from the residuals in each step of t...

We are concerned with the approximation of undercompressive, regularizationsensitive, nonclassical solutions of hyperbolic systems of conservation laws by high-order accurate, conservative, and semidiscrete finite difference schemes. Nonclassical shock waves can be generated by diffusive and dispersive terms kept in balance. Particular attention is given here to a class of systems of conservati...

We consider a family of constrained `p minimizations: min x∈Rn {||x||`p ∣∣ Ax = Ax∗}, where only A, Ax∗ and ||x∗||`0 are known. Such family of problems has been extensively studied in the Compressed Sensing Community and are used to recover sparse signals. We then go through the reasoning on why p = 1 would be the most suitable choice. Due to the possible ill-posedness of the constrained `1 min...

Epididymal semen was obtained from rams with a fistula present in the vas deferens (Tadmor & Schindler, 1966). It was deproteinized immediately, and the protein-free clear supernatant evaporated to dryness in vacuo at a temperature not exceeding 55\s=deg\C. The residue was taken up with about 10 ml water, and the solution thus obtained used for determination of both amines and amino acids. For ...

Response to a high salinity treatment of 300 mM NaCl was studied in a cultivated barley Hordeum vulgare Syrian cultivar Tadmor and in a halophytic wild barley H. marinum. Differential salinity tolerance of H. marinum and H. vulgare is underlied by qualitative and quantitative differences in proteins involved in a variety of biological processes. The major aim was to identify proteins underlying...