In this paper we investigate the possible states of knowledge among a group of individuals and their relations to decision making. A travelling salesman found himself spending the night at home with his wife when one of his trips was accidentally cancelled. The two of them were sound asleep, when in the middle of the night there was a loud knock at the front door. The wife woke up with a start ...

We characterize the extremal structures for certain random walks on trees. Let G = (V,E) be a tree with stationary distribution π. For a vertex i ∈ V , let H(π, i) and H(i, π) denote the expected lengths of optimal stopping rules from π to i and from i to π, respectively. We show that among all trees with |V | = n, the quantities mini∈V H(π, i), maxi∈V H(π, i), maxi∈V H(i, π) and ∑ i∈V πiH(i, π...

K channels in the cell membrane of the insulin-secreting RINm5F cell line were studied using the patch-clamp technique in cell-attached patch mode. With 140 mM K in the pipette, two channels displaying different conductive and kinetics properties were observed. A voltage-independent, inward-rectifying, 55-pS channel was active at rest (no glucose, -70 mV), but was almost completely inhibited by...

Noxiustoxin (NxTX) displays an extraordinary ability to discriminate between large conductance, calcium-activated potassium (maxi-K) channels and voltage-gated potassium (Kv1.3) channels. To identify features that contribute to this specificity, we constructed several NxTX mutants and examined their effects on whole cell current through Kv1.3 channels and on current through single maxi-K channe...

This paper studies an instantiation of Dung-style argumentation system with classical propositional logic. Our goal is to explore the link between the result obtained by using argumentation to deal with an inconsistent knowledge base and the result obtained by using maximal consistent subsets of the same knowledge base. Namely, for a given attack relation and semantics, we study the question: d...

The question whether Dung’s abstract argumentation theory can be instantiated with classical propositional logic has drawn a considerable amount of attention among scientists in recent years. It was shown by Cayrol in 1995 that if direct undercut is used, then stable extensions of an argumentation system correspond exactly to maximal (for set inclusion) consistent subsets of the knowledge base ...

Let finite source and reproduction alphabets X and Y and a distortion measure d : X ×Y → [0,∞) be given. We study the minimum asymptotic rate required to describe a source distributed over X within a (given) distortion threshold D at every sample. The problem is hence a min-max problem, and the distortion measure is extended to vectors as follows: for x ∈ X, y ∈ Y, d(x, y) = maxi d(xi, yi). In ...