of neurons that represent elements of a given object, and that this correlated firing labels the neuronal activity associated with one object. Different frequencies or Seeing is deceptively simple. We perceive objects, sym-phases of modulation could be used to simultaneously bols, movements, and other aspects of the visual scene label different objects. With this approach, neurons dis-without e...

OBJECT Parietal lobe epilepsy (PLE) accounts for a small percentage of extratemporal epilepsies, and only a few and mostly smaller series have been reported. Preoperative findings, surgical strategies, pathological bases, and postoperative outcomes for PLE remain to be elucidated. METHODS Patients with PLE were identified by screening a prospective epilepsy surgery database established in 198...

In a recent study of Engel Lie rings, Serena Cicalò and Willem de Graaf have given a practical set of conditions for an additively finitely generated Lie ring L to satisfy an Engel condition. We present a simpler and more direct proof of this fact. Then we generalize it to a result in the language of tensor algebra, which can be applied to other contexts.

We have proved that 4-Engel groups are locally nilpotent. The proof is based upon detailed computations by both hand and machine. Here we elaborate on explicit computer calculations which provided some of the motivation behind the proof. In particular we give details on the hardest coset enumerations now required to show in a direct proof that 4-Engel p-groups are locally finite for 5 ≤ p ≤ 31....

5936 words 36634 signs 1. Epistemic normativity 2. Norms of rationality 3. Epistemic norms and concepts 4. The Ur-Norm of truth 5. Epistemic norms and epistemic values 1. Epistemic normativity When we evaluate our beliefs and our reasonings as justified or unjustified, good or bad, rational or irrational, we make, in a broad sense of the term, normative judgements about them. It is often said t...

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 .

For a nonempty set X, let T(X) be the total transformation semigroup on X. In this paper, we consider subsemigroups of which are defined by T(X,Y) ={α∈T(X):Xα⊆Y}andS(X,Y)={α∈T(X):Yα⊆Y} where Y is non-empty subset We characterize left regular and right elements both S(X,Y). Moreover, necessary sufficient conditions for S(X,Y) to given. These results then applied determine numbers in finite