Visibility with One Reflection

Visibility with One Reeection

We extend the concept of the polygon visible from a source point S in a simple polygon by considering visibility with two types of reeection, specular and diiuse. In specular reeection a light ray reeects from an edge of the polygon according to the rule: the angle of incidence equals the angle of reeection. In diiuse reeection a light ray reeects from an edge of the polygon in all inward direc...

Basic Logic: Reflection, Symmetry, Visibility

We introduce a sequent calculus B for a new logic, named basic logic. The aim of basic logic is to find a structure in the space of logics. Classical, intuitionistic, quantum and non-modal linear logics, are all obtained as extensions in a uniform way and in a single framework. We isolate three properties, which characterize B positively: reflection, symmetry and visibility. A logical constant ...

One-Counter Automata with Counter Visibility

Visibility for analytic rank one

Let E be an optimal elliptic curve of conductor N , such that the L-function LE(s) of E vanishes to order one at s = 1. Let K be a quadratic imaginary field in which all the primes dividing N split. The Gross-Zagier theorem gives a formula that expresses the Birch and Swinnerton-Dyer conjectural order the Shafarevich-Tate group of E over K as a rational number. We extract an integer factor from...

Circular polarizers enhance visibility of endothelium in specular reflection biomicroscopy.

A simple and inexpensive technique for enhancing the visibility of corneal endothelial cells in specular reflection biomicroscopy involves the insertion of a circular polarizer in front of the patient's eye, intersecting both the incident and reflected light beams. This filter significantly reduces the glare from the epithelium and enables more comfortable and clearer viewing of the endothelial...