Minimizing the Boolean circuit implementation of a given cryptographic function is an important issue. A number of papers [12], [13], [11], [5] only consider cancellation-free straight-line programs for producing short circuits over GF(2) while [4] does not. Boyar-Peralta (BP ) heuristic [4] yields a valuable tool for practical applications such as building fast software and low-power circuits ...

Deser et al. proposed a combination of the Einstein and Landau-Lifshitz pseudotensors such that the second derivatives in vacuum are proportional to the Bel-Robinson tensor. Stimulated by their work, the present paper discuss the gravitational energy-momentum expression which has the same desirable Bel-Robinson tensor property. We find modifications of the Einstein and Landau-Lifshitz pseudoten...

In the framework of prediction with expert advice, we consider a recently introduced kind of regret bounds: the bounds that depend on the effective instead of nominal number of experts. In contrast to the NormalHedge bound, which mainly depends on the effective number of experts but also weakly depends on the nominal one, we obtain a bound that does not contain the nominal number of experts at ...

We introduce the Singleton bounds for codes over a finite commutative quasi-Frobenius ring.

We prove Lieb-Robinson bounds for systems defined on infinite dimensional Hilbert spaces and described by unbounded Hamiltonians. In particular, we consider harmonic and certain anharmonic lattice systems.

The Robinson-Foulds (RF) metric is arguably the most widely used measure of phylogenetic tree similarity, despite its well-known shortcomings: For example, moving a single taxon in a tree can result in a tree that has maximum distance to the original one; but the two trees are identical if we remove the single taxon. To this end, we propose a natural extension of the RF metric that does not sim...

In this chapter I follow the evolution of Joan Robinson’s appreciation of Sra¤a’s “critique of economic theory”over the years. My purpose is twofold: …rst, to construct a narrative based also on the archival …ndings; second, to shed some light on certain dividing issues–as we shall see in the …nal section– which impinged on the fortunes of the “Cambridge school”, in search of a clue to explain ...