Can one walk to infinity on Gaussian primes taking steps of bounded length?” We adopted computational techniques to probe into this open problem. We propose an efficient method to search for the farthest point reachable from the origin, which can be parallelized easily, and have confirmed the existence of a moat of width k = √ 36, whereas the best previous result was k = √ 26 due to Gethner et ...

In this paper, we first present some sufficient conditions for the upper semicontinuity and/or the continuity of the Bregman farthest-point map QgC and the relative farthest-point map S g C for a nonempty D-maximally approximately compact subset C of a Banach space X. We next present certain sufficient conditions as well as equivalent conditions for a Klee set to be singleton in a Banach space ...

Understanding women’s presence in ICT: intersecting issues throughout the lifecycle Cecilia Castaño and Juliet Webster A great deal of research and practical effort has been devoted to trying to achieve some kind of gender balance in ICT professions, apparently to little effect. Women still make up less than 20% of ICT professionals in most OECD countries, and there is little sign of any substa...

The mean distance between the apices of the maxillary posterior teeth and the floor of the maxillary sinus was measured from computed tomographic display data from 12 autopsy specimens and 38 human subjects. The distance from these apices to the adjacent lateral bony surfaces was also measured. The apex of the mesiobuccal root of the maxillary second molar was closest to the sinus floor (mean 1...

Unsupervised machine learning (ML) is examined for the result of molecular dynamics (MD) simulation to extract characteristics catalytic reaction. O–H bond dissociation ethanol on Fe–Co nanoparticle in ab initio MD [S. Fukuhara et al., Chem. Phys. Lett. 731 (2019) 136619] employed as an example. Hierarchical clustering radial distribution function successfully classifies coordinates reaction de...