I analyze the hierarchies of the bounded and the weak bounded forcing axioms, with a focus on their versions for the class of subcomplete forcings, in terms of implications and consistency strengths. For the weak hierarchy, I provide level-by-level equiconsistencies with an appropriate hierarchy of partially remarkable cardinals. I also show that the subcomplete forcing axiom implies Larson’s o...

The view lines associated with a family of proole curves of the projection of a surface onto the retina of a moving camera deenes a multi-valued vector eld on the surface. The integral curves of this eld are called epipolar curves and together with a parametrization of the prooles provide a parametrization of regions of the surface. This parametrization has been used in the systematic reconstru...

We describe the present status of the Unitarity Triangle and we give an outlook for its future determinations. We discuss new sets of fundamental flavour parameters and comment briefly on new physics beyond the Standard Model. Many parametrizations of the CKM matrix have been proposed in the literature. The classification of different parametrizations can be found in 3. While the so called stan...

A recently proposed parametrization for the deep inelastic diffractive cross section is used to describe the H1 94 data. We find two possible solutions, and we discuss them is some detail. 1. Diffractive events at HERA [1, 2] are generally attributed to the exchange of the Pomeron between the virtual photon and the proton. After the first observation of these events, attempts of a theoretical d...

We briefly review the recent progresses in the new unitarization approach being developed by us. Especially we discuss the large Nc ππ scatterings by making use of the partial wave S matrix parametrization form. We find that the σ pole may move to the negative real axis on the second sheet of the complex s plane, therefore it raises the interesting question that this ‘σ ’ pole may be related to...

A general q-state nonintersecting string model for q Z 2 is studied, and solved, using a graphical approach. This model, of which special cases were first introduced by Stroganov and Schultz, has recently drawn further attention because of its relation to Potts models. In its simplest version, a uniform, separable nonintersecting string model on a quadratic lattice, it corresponds to a q*-state...

In this paper we introduce the notion of rational Hausdorff divisor, we analyze the dimension and irreducibility of its associated linear system of curves, and we prove that all irreducible real curves belonging to the linear system are rational and are at finite Hausdorff distance among them. As a consequence, we provide a projective linear subspace where all (irreducible) elements are solutio...

It is becoming to be well-known that an internally stabilizable transfer matrix does not necessarily admit doubly coprime factorizations. The equivalence between these two concepts is still open for important classes of plants. Hence, we may wonder whether or not it is possible to parametrize all stabilizing controllers of an internally stabilizable plant which does not necessarily admit doubly...

We study the parametrization of the moduli space Bun2(C)L of rank 2 bundles over a curve C with fixed determinant, provided by Hecke modifications at fixed points of the trivial bundle. This parametrization is closely related to the Tyurin parametrization of vector bundles over curves. We use it to parametrize the Hitchin and KZB systems, as well as lifts of the Beilinson-Drinfeld D-modules. We...

We complete the introduction of Yano-Koonin-Podgoretskĭı (YKP) parametrization of the correlation function by deriving the corrections to the correlation radii which arise from releasing the popular smoothness approximation and approximation of setting the pair momentum on-shell. We investigate the definition range of this parametrization and find kinematic regions in which the YKP parametrizat...