0031-9007= The low-energy reaction 14C n; 15C provides a rare opportunity to test indirect methods for the determination of neutron capture cross sections by radioactive isotopes versus direct measurements. It is also important for various astrophysical scenarios. Currently, puzzling disagreements exist between the 14C n; 15C cross sections measured directly, determined indirectly, and calculat...

Efforts to unify group-theoretically the standard-model gauge interactions with the generation structure of fermions and their mirror partners should be accompanied with the unification of the corresponding gauge couplings. In this paper the possibility of such a unification is studied and conclusions on possible symmetry-breaking channels and scales, as well as on the fermion content of the th...

Ron Oliver is a Senior Lecture( in the Deparlnent of Library and lnfomatton Sctence at Edith Cowan Univercity, He teaches in the prc.setvice teacher education program at the Univercity. He cootdtnates the secondary teachet computet education Wogram. He is actively tnvolved in school-based research and has a paqiculat nterest in the outcones of lT programs n schools. He $ curcntly nvalved in a p...

This note discusses proofs for convergence of first-order methods based on simple potentialfunction arguments. We cover methods like gradient descent (for both smooth and non-smooth settings), mirror descent, and some accelerated variants.

This paper discusses optical beam control using adaptive optics for imaging spacecraft with large aperture telescopes. The segmented mirror alignment and active mirror surface control are achieved by novel wavefront sensing and control techniques. The experimental testbed and test results are also presented to demonstrate the adaptive optics techniques for large-aperture segmented mirrors.

This paper considers the p-Laplacian PDE for p = 1,∞ and some interesting new game theoretic interpretations, due to Kohn–Serfaty [K-S] and to Peres–Schramm–Sheffield–Wilson [P-S-S-W].

We define the thin fundamental categorical group P2(M, ∗) of a based smooth manifold (M, ∗) as the categorical group whose objects are rank-1 homotopy classes of based loops on M , and whose morphisms are rank2 homotopy classes of homotopies between based loops on M . Here two maps are rank-n homotopic, when the rank of the differential of the homotopy between them equals n. Let C(G) be a Lie c...

Mirror descent with an entropic regularizer is known to achieve shifting regretbounds that are logarithmic in the dimension. This is done using either a carefullydesigned projection or by a weight sharing technique. Via a novel unified analysis,we show that these two approaches deliver essentially equivalent bounds on a no-tion of regret generalizing shifting, adaptive, discount...

Infinitely many Casoratian identities are derived for the Wilson and Askey-Wilson polynomials in parallel to the Wronskian identities for the Hermite, Laguerre and Jacobi polynomials, which were reported recently by the present authors. These identities form the basis of the equivalence between eigenstate adding and deleting Darboux transformations for solvable (discrete) quantum mechanical sys...