On the Inverse Problem Relative to Dynamics of the w Function

In this paper we shall study the inverse problem relative to dynamics of the w function which is a special arithmetic function and shall get some results.Comment: 11 page

Assessing Learning-Centered Leadership: Connections to Research, Professional Standards, and Current Practices

Describes an assessment model designed to evaluate school leaders' performance. Unlike existing tools, this new system will assess both individuals and teams, and focuses specifically on instructional leadership and behaviors that improve learning

Benchmark calculations for elastic fermion-dimer scattering

We present continuum and lattice calculations for elastic scattering between a fermion and a bound dimer in the shallow binding limit. For the continuum calculation we use the Skorniakov-Ter-Martirosian (STM) integral equation to determine the scattering length and effective range parameter to high precision. For the lattice calculation we use the finite-volume method of L\"uscher. We take into account topological finite-volume corrections to the dimer binding energy which depend on the momentum of the dimer. After subtracting these effects, we find from the lattice calculation kappa a_fd = 1.174(9) and kappa r_fd = -0.029(13). These results agree well with the continuum values kappa a_fd = 1.17907(1) and kappa r_fd = -0.0383(3) obtained from the STM equation. We discuss applications to cold atomic Fermi gases, deuteron-neutron scattering in the spin-quartet channel, and lattice calculations of scattering for nuclei and hadronic molecules at finite volume.Comment: 16 pages, 5 figure

Can sulforaphane prevent the onset or slow the progression of osteoarthritis?

Osteoarthritis (OA) is a degenerative joint disease characterised in part by destruction of articular cartilage. There are currently no disease-modifying drugs to treat OA, with joint replacement the only treatment offered to patients at end-stage disease. With age the major risk factor for OA, the number of patients is predicted to double by 2030. An understanding of the role of bioactive molecules from the habitual diet on joint health offers a novel way in which to prevent the onset or slow the progression of OA. Our research has indicated that sulforaphane (SFN), gained from the consumption of cruciferous vegetables, particularly broccoli, could impact upon articular cartilage in laboratory models of OA because (1) it decreased the cytokine-induced expression of cartilage-degrading proteinases from chondrocytes (cartilage cells); (2) it prevented the cytokine-induced degradation of cartilage explants; and (3) it attenuated cartilage destruction in a murine model of OA. The major mechanism of action for SFN in human articular chondrocytes was inhibition of NFB, not activation of Nrf2 nor inhibition of histone deacetylases. A proof-of-principle human trial was performed to measure uptake of SFN, or its metabolites, in the human knee joint following a broccoli-rich diet, and the expression or levels of several genes and proteins in cartilage, fat and synovial fluid were also measured. Data from this trial are about to be published. Overall, these findings support the utility of SFN in the prevention or treatment of OA. The proof of this requires an appropriately designed clinical trial of pain and function which we are currently pursuing