Recently Havas and Vaughan-Lee proved that 4-Engel groups are locally nilpotent. Their proof relies on the fact that a certain 4-Engel group T is nilpotent and this they prove using a computer and the Knuth-Bendix algorithm. In this paper we give a short hand-proof of the nilpotency of T .

Nonmonotonic causal logic is a knowledge representation language designed for describing domains that involve actions and change. The process of literal completion, similar to program completion familiar from the theory of logic programming, can be used to translate some nonmonotonic causal theories into classical logic. Its applicability is restricted, however, to theories that deal with truth...

The purpose of this sequel to [5] is to construct and characterize completions of G-spaces, where G is a compact Lie group. We assume the notations and results of [5]. It is a pleasure to thank Pete Bousfield for the proof of Lemma 12. Since completions are less generally familiar than localizations, a quick summary of the relevant part of the nonequivariant theory is in order. We are intereste...

A fundamental component of modern trackers is an online learned tracking model, which is typically modeled either globally or locally. The two kinds of models perform differently in terms of effectiveness and robustness under different challenging situations. This work exploits the advantages of both models. A subspace model, from a global perspective, is learned from previously obtained target...

this paper reports on the findings of a study designed to investigate the cultural and social complexities governing the compliment responses among the persian native speakers. 200 persian respondents took a 24-item discourse completion task (dct) while 15 native field workers were also set responsible for collecting the examples of complimenting exchanges they either observed or participated i...

We show by elementary means that every Kan fibration in simplicial sets can be embedded in a univalent Kan fibration. Mathematics Subject Classification 55R15 · 55R35 · 55U10 · 18C50