ADVERTISING MECHANISM FOR PREDICTIVE CONSUMPTION OF CONTENT AT A VARIABLE ENTRY POINT

A mechanism that quantifies future traffic associated with respective segments of content items. A content item may be received from a content provider and segments of the received content item may be identified. Subsequently, the identified segments may be classified based on the type of content present in the content item during the segments. The future consumption of the segments of the content item may be predicted based on the type of content present and the segments may be ranked and priced accordingly. The content item may then be presented including advertisements during the segments of the content item

Electrons and Photons: Fact not Fiction

The particle Fock space of the matter fields in QED can be constructed using the free creation and annihilation operators. However, these particle operators are not, even at asymptotically large times, the modes of the matter fields that enter the QED Lagrangian. In this letter we construct the fields which do recover such particle modes at large times. We are thus able to demonstrate for the first time that, contrary to statements found in the literature, a relativistic description of charged particles in QED exists.Comment: 8 pages, LaTe

Flux-Across-Surfaces Theorem for a Dirac Particle

We consider the asymptotic evolution of a relativistic spin-1/2-particle. i.e. a particle whose wavefunction satisfies the Dirac equation with external static potential. We prove that the probability for the particle crossing a (detector) surface converges to the probability, that the direction of the momentum of the particle lies within the solid angle defined by the (detector) surface, as the distance of the surface goes to infinity. This generalizes earlier non relativistic results, known as flux across surfaces theorems, to the relativistic regime

Floridas Hidden Voucher Expansion: Over $1 Billion from Public Schools to fund Private Education

Analyzes impact of the adoption of a universal private education voucher program in Florida