Previous articleNext article No AccessConsensus versus Unanimity: Which Carries More Weight?Finnur DellsénFinnur Dellsén Search for more articles by this author PDFPDF PLUS Add to favoritesDownload CitationTrack CitationsPermissionsReprints Share onFacebookTwitterLinkedInRedditEmail SectionsMoreDetailsFiguresReferencesCited The British Journal the Philosophy of Science Just Accepted Society: So...

The portable computer or notebook has become an integral and even essential aspect of modern life. Year-in-year its price to the consumer falls while its performance grows, yet recent analysis suggest that pound-for-pound its environmental costs are amongst the highest of any product on the planet. In this paper we explore the market price of “sustainable” notebooks. Drawing on the framework of...

Background Dental caries also known as cavities are the most predominant disease today. Streptococcus mutans can form a biofilm on tooth surface, produce high levels of lactic acid following fermentation dietary sugars, and resistant to adverse effects low pH, properties which essential for oral micro biota. The aim this st...

We consider a carries process which is a generalization of that by Holte in the sense that (i) we take various digit sets, and (ii) we also consider negative base. Our results are : (i) eigenvalues and eigenvectors of the transition probability matrices, and their connection to combinatorics and representation theory, (ii) an application to the computation of the distribution of the sum of i.i....

A multiple-input multiple-output (MIMO) communication system combined with the orthogonal frequency division multiplexing (OFDM) modulation technique can achieve reliable high data rate transmission over broadband wireless channels. Channel state information for both single-input single-output (SISO) and MIMO systems based on pilot aided arrangement is investigated in this paper. The estimation...

When numbers are added in the usual way carries occur along the route. These carries cause a mess and it is natural to seek ways to minimize them. This paper proves that balanced arithmetic minimizes the proportion of carries. It also positions carries as cocycles in group theory and shows that if coset representatives for a finite-index normal subgroup H in a group G can be chosen so that the ...

The “carries” when n random numbers are added base b form a Markov chain with an “amazing” transition matrix determined by Holte [24]. This same Markov chain occurs in following the number of descents or rising sequences when n cards are repeatedly riffle shuffled. We give generating and symmetric function proofs and determine the rate of convergence of this Markov chain to stationarity. Simila...