Abstract We consider a singular holomorphic vector field in neighborhood of 0∈ C3and suppose that there is foliation codimension one (outside its set, given by decomposition this into complex surfaces, called leaves) to which it tangent. This means that, when both objects are non-singular, the orbits contained leaves foliation. First we desingularizations objects, trying relate their final mode...

In a geographically distributed population, assortative clustering plays an important role in evolution by modifying local environments. To examine its effects linear habitat, we consider one-dimensional grid of cells, where each cell is either empty or occupied organism whose replication strategy genetically inherited to offspring. The determines whether have offspring surrounding as function ...

Political decisions, constellations, and behaviors exert a large influence of the dynamics severe acute respiratory syndrome coronavirus 2 (Sars-CoV-2) pandemic. Politics influences choice containment policies compliance with these policies—and therefore ultimately epidemiological situation in each country, state, district, or even neighborhood. This introduction puts articles collected this sp...

In 1995 Magnus [15] posed a conjecture about the asymptotics of the recurrence coefficients of orthogonal polynomials with respect to the weights on [−1, 1] of the form (1− x) (1 + x) |x0 − x| × { B, for x ∈ [−1, x0) , A, for x ∈ [x0, 1] , with A,B > 0, α, β, γ > −1, and x0 ∈ (−1, 1). We show rigorously that Magnus’ conjecture is correct even in a more general situation, when the weight above h...

Disasters create extremely dynamic situations which have to be handled by emergency operations centers. For fulfilling their task they rely on up-to-date information from on-site units and passer-bys. Every individual has its own mental image of the situation which is recorded for situation evaluation as free-form text messages. In order to enable further automatic reasoning processes, this men...

in this paper, the concept of {sl local base with  stratifiedstructure} in $i$-topological vector spaces is introduced. weprove that every $i$-topological vector space has a balanced localbase with stratified structure. furthermore, a newcharacterization of $i$-topological vector spaces by means of thelocal base with stratified structure is given.

ion in Situation Calculus Action Theories Bita Banihashemi York University Toronto, Canada [email protected] Giuseppe De Giacomo Sapienza Università di Roma Roma, Italy [email protected] Yves Lespérance York University Toronto, Canada [email protected]

This article presents a situation calculus formalism featuring events as primary and the usual actions as a special case. Events that are not actions are called internal events and actions are called external events. The effects of both kinds of events are given by effect axioms of the usual kind. The actions are assumed to be performed by an agent as is usual in situation calculus. An internal...

Imposing a markovian condition on the situation calculus enables the embedding of situation calculus theories into the DEVS (discrete event system speciication) modelling and simulation framework. DEVS has an algebraic formalism relying on classical systems theory, and has been used to good eeect in practical domains. The demonstrated correspondence between the situation calculus and DEVS is ba...

We present a formal model of argumentation based on situation calculus which captures both the logical and the procedural aspects of argumentation processes. The logic is used to determine what is accepted by each agent participating in the discussion and by the group as a whole, on the basis of the speech acts performed during argumentation. Argumentation protocols, also called rules of order,...