Here, PA is the first-order theory in the language with 0, 1,+, ·, < containing finitely many basic axioms true in N together with the first-order induction axiom scheme. Any model of PA has an initial segment isomorphic to N, and we will always identify N with this initial segment. The theory PA is well-known not to be complete, and has 2א0 complete extensions. ‘True arithmetic’—the theory Th(...

Often evidence from a single case does not reveal any suspicious patterns to aid investigations in forensic accounting and other forensic fields. In contrast, correlation of sets of evidence from several cases with suitable background knowledge may reveal suspicious patterns. Link Discovery (LD) has recently emerged as a promising new area for such tasks. Currently LD mostly relies on determini...

hemangiopericytoma is a rare vascular tumor observed mostly in adults. it usually presents with a painless slowly enlarging mass. the infantile type with much rarer occurrence has a different course compared to adults. very few case reports have been described in the literature with disease onset in the infancy. the first reported case of infantile hemangiopericytoma of limbs from the middle ea...

[1] We investigate the behavior of simulated slow slip events using a rate and state friction model that is steady state velocity weakening at low slip speeds but velocity strengthening at high slip speeds. Our simulations are on a one-dimensional (line) fault, but we modify the elastic interactions to mimic the elongate geometry frequently observed in slow slip events. Simulations exhibit a nu...