Function Theory Applied

Applied Chiral Perturbation Theory

I consider some selected topics in chiral perturbation theory (CHPT) as probed at colliders such as DAΦNE. Emphasis is put on processes involving pions in the isospin zero S-wave which require multi-loop calculations. These include the scalar form factor of the pion, two–photon fusion into pion pairs and Kl4–decays. The physics of the chiral anomaly is briefly touched upon INVITED LECTURE SUMME...

Applied String Theory

2 String theory 3 2.1 Theoretical aspects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Experimental constraints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2.1 Extra dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2.2 Constraints on the dilaton mass . . . . . . . . . . . . . . . . . . . . . . 8 2.2.3 Moduli . . . . . . . ...

Applied Conformal Field Theory

Applied Number Theory

A prime number is an integer bigger than l that has no factor except l and itself . A number that is not prime is called composite. The primality testing problem is to decide whether a given integer is prime or composite. It is considered to be well solved, in contrast to ine factoring problem, which asks for the factorization of a given integer into prime factors. As an example of what can be ...

Rough set theory applied to lattice theory

In this paper, we intend to study a connection between rough sets and lattice theory. We introduce the concepts of upper and lower rough ideals (filters) in a lattice. Then, we offer some of their properties with regard to prime ideals (filters), the set of all fixed points, compact elements, and homomorphisms. 2012 Elsevier Inc. All rights reserved.