We define Almost Sure Productivity (ASP), a probabilistic generalization of the productivity condition for coinductively defined structures. Intuitively, a probabilistic coinductive stream or tree is ASP if it produces infinitely many outputs with probability 1. Formally, we define almost sure productivity using a final coalgebra semantics of programs inspired from Kerstan and König. Then, we i...

Partial search has been proposed recently for finding the target block containing a target element with fewer queries than the full Grover search algorithm which can locate the target precisely. Since such partial searches will likely be used as subroutines for larger algorithms their success rate is important. We propose a partial search algorithm which achieves success with unit probability.

Abstract In this article, we introduce two notions of interpolative F -contractions with shrink map and map. We also study the existence E -fixed points by using these notations on a metric space endowed binary relation. As an application consequence main results, get some other interesting results like common fixed point result, result equipped graph, theorem for solution integral equations.

Abstract Growing application of artificial intelligence in geotechnical engineering has been observed; however, its ability to predict the properties and nonlinear behaviour reactive soil is currently not well considered. Although previous studies provided linear correlations between shrink–swell index Atterberg limits, obtained model accuracy values were found unsatisfactory results. Artificia...

The Vicarious Learner project is investigating the roleof dialogue in learning and, more specifically, how learners benefit fromopportunities to ’overhear’ other learners. A direct challenge to thisconcept comes from a study by Schober and Clark which claims that only direct participants can learneffectively from dialogue. We dispute this claim both on grounds thattheir own data indicate otherw...

I welcome the chance to revisit my review of Making Things Happen and the book itself (Woodward 2003; Strevens 2007) in the light of Woodward’s response to the review (henceforth “Woodward’s reply”). In what follows I hope to provide a surer footing for some of the claims made in the original review, to address the new definition of unrelativized causation proposed in Woodward’s reply, and to e...

The color in the aleurone cells of maize early attracted the attention cf geneticists as affording ideal material for testing the segregation of characters in the second generation of hybrids. The first cases that were investigated led to the idea of only one unit o r factor being involved in the production of an aleurone color. With the progress of investigation, however, it became necessary t...

In a Letter to the Editor of mBio, Professor Ron Fouchier published a calculation (1) in which he finds a very low probability, P1, for a laboratory-acquired infection (LAI) for a single lab for a single year. Claiming numerous safety precautions in his biosafety level 3 (BSL3 ) laboratory, Fouchier calculates P1 1 10–7 per person per year, and since there are 10 workers with access to his labo...