Abstract Condorcet-compatible election methods are examined and compared. The Ranked Pairs method proves significantly better than Beatpath; that both clone-free, have other desirable properties, makes them much any alternative.

We read with great interest the article Gentry et al. (1) which explores the impact of expanding kidney paired donation (KPD) through participation by compatible pairs. In their abstract they argue that this is a new paradigm of KPD and in their conclusion they indicate that the inclusion of recipients with compatible donors will greatly increase the number of incompatible pairs matched through...

We describe and interpret computer simulations of the time evolution of a binary alloy on a cubic lattice, with nearest neighbor interactions favoring like pairs of atoms. Initially the atoms are arranged at random; the time evolution proceeds by random interchanges of nearest neighbor pairs, using probabilities compatible with the equilibrium Gibbs distribution at temperature T. For temperatur...

The category k-BFAlg of all k-algebras with a bilinear form, whose objects are pairs (R,b) where R is k-algebra and b:R×R→k mapping, equivalent to the unital A for which canonical homomorphism (k,1)→(A,1A) splitting monomorphism in k-Mod. Call left inverses this “weak augmentations” algebra. There isomorphism between weak augmentation (A,bA) form bA compatible multiplication A, i.e., such that ...

We investigate, if the cosmic ray positron fraction, as reported by the HEAT and AMS collaborations, is compatible with the annihilation of neutralinos in the supergravity inspired Constrained Minimal Supersymmetric Model (CMSSM), thus complementing previous investigations, which did not consider constraints from unification, electroweak symmetry breaking and the present Higgs limits at LEP. We...