In this paper, we use resource-bounded dimension theory to investigate polynomial size circuits. We show that for every i 0, P/poly has ith-order scaled p3 -strong dimension 0. W...
ms, to use abstraction mappings to prove probabilistic properties, and to apply random walk theory in a distributed computational setting. We apply all of these techniques to analy...
Resolutions of cusp singularities are crucial to many techniques in computational number theory, and therefore finding explicit resolutions of these singularities has been the focu...
Scenario analysis is often used to identify possible chance events. However, no formal, computational theory yet exists for scenario analysis. In this paper, we commence developme...
“Bayesian probability” here means the concept of probability used in Bayesian decision theory. It is usually identified with the agent’s degrees of belief but that interpret...