1. Which of the followiing sets of natural numbers is inductive? (In each case, say whether the set S is inductive or not, and explain why.) (a) S = {x ∈ IN : x 2 ≤ 1000}.

Introduction Following the World Health Organisation declaration of COVID-19 as a global pandemic, routine dental care in UK ceased, and Urgent Dental Care centres (UDCs) were established to offer remote face-to-face urgent treatment for those need. Aim To explore perceptions psychosocial experiences frontline staff providing at UDCs England during COVID-19. Method A qualitative research study ...

In this paper, we present a new idea for robust project scheduling combined with a cost-oriented uncertainty investigation. The result of the new approach is a makespan minimal robust proactive schedule, which is immune against the uncertainties in the activity durations and which can be evaluated from a cost-oriented point of view on the set of the uncertain-but-bounded duration and cost param...

We present a probabilistic extension of logic programs under the stable model semantics, inspired by the concept of Markov Logic Networks. The proposed language takes advantage of both formalisms in a single framework, allowing us to represent commonsense reasoning problems that require both logical and probabilistic reasoning in an intuitive and elaboration tolerant way.

Wake steering, the intentional yaw misalignment of certain turbines in an array, has demonstrated potential as a wind farm control approach to increase collective power. Existing algorithms optimize angle set-points using steady-state wake models and either deterministic frameworks or optimizers that account for direction variability uncertainty. rely on parameterizations physical phenomena mea...

We present a principle for introducing new types in type theory which generalises strictly positive indexed inductive data types. In this new principle a set A is defined inductively simultaneously with an A-indexed set B, which is also defined inductively. Compared to indexed inductive definitions, the novelty is that the index set A is generated inductively simultaneously with B. In other wor...