triples
Triples of Orthogonal Latin and Youden Rectangles For Small Orders
Journal of Combinatorial Designs, Volume 27, Issue 4, p. 229-250, doi.org/10.1002/jcd.21642 Abstract We have performed a complete enumeration of nonisotopic triples of mutually orthogonal Latin rectangle. Here we will present a census of such triples, classified by various properties, including the order of the autotopism group of the triple. As part of this, we have also achieved the first enumeration of pairwise orthogonal triples of Youden rectangles. We have also studied orthogonal triples of rectangles which are formed by extending mutually orthogonal triples with nontrivial autotopisms one row at a time, and requiring that the autotopism group is nontrivial in each step. This class includes a triple coming from the projective plane of order 8. Here we find a remarkably symmetrical pair of triples of rectangles, formed by juxtaposing two selected copies of complete sets of mutually orthogonal Latin squares of order 4.
Ethical machine decisions and the input-selection problem
Synthese 199 Abstract This article is about the role of factual uncertainty for moral decision-making as it concerns the ethics of machine decision-making (i.e., decisions by AI systems, such as autonomo
Ernst Fehr on the individual and society at seminar
Ernst Fehr On the 7th of December 2012 the tipped Nobel Prize-candidate and Professor of Economics Ernst Fehr came to visit the Institute for Futures Studies in order to hold the seminar "The Weave of
The importance of protecting religious buildings in war
It has been a long and violent conflict, but the parties have finally come to an agreement to put down their weapons – now it’s time for peace to settle in society. Unfortunately, there are a limited
