We give a precise statement for KAM theorem in a neighbourhood of an elliptic equilib rium point of a Hamiltonian system If the frequencies of the elliptic point are nonresonant up to a certain order K and a nondegeneracy condition is ful lled we get an estimate for the measure of the complement of the KAM tori in a neighbourhood of given radius Moreover if the frequencies satisfy a Diophantine...

Complement coercion (begin a book →reading) involves a type clash between an event-selecting verb and an entity-denoting object, triggering a covert event (reading). Two main factors involved in complement coercion have been investigated: the semantic type of the object (event vs. entity), and the typicality of the covert event (the author began a book →writing). In previous research, reading t...

Background: There is an ongoing trend amongst management within engineering and construction business to adopt Key Performance Indicators (KPI). Since this line of business requires timely information in order to take the adequate decisions and actions to ensure that no delays occur. Kockums AB operates within the defence industry with development, design and production of naval vessels. This c...

Suppose A = {a(i, j)}, for i ≥ 0 and j ≥ 0, is the dispersion of a strictly increasing sequence r = (r(0), r(1), r(2), . . .) of integers, where r(0) = 1 and infinitely many postive integers are not terms of r. Let R be the set of such sequences, and define t on R by tr(n) = a(0, n) for n ≥ 0. Let F be the subset of R consisting of sequences r satisfying ttr = r. The set F is characterized in t...

In the fi rst article in this series, we examined the reductionist approach that pervades medicine and explained how a systems approach (as advocated by systems biology) may complement it [1]. In order for a systems perspective to have any practical clinical signifi cance, we must understand when a systems perspective is or is not helpful, and conversely when a reductionist approach is helpful....

We calculate the ΛΛ → Y N transition rate of 6 ΛΛHe by the hybrid picture, the π and K exchanges plus the direct quark processes. It is found that the hyperon-induced decay is weaker than the nucleon-induced decay, but the former may reveal the short-range mechanism of the weak transition and also give a clear signal of the strong ∆I = 3/2 transition. The ΛΛ → YN transition in double-Λ hypernuc...

In [6] Wu shows that if a link or a knot L in S3 in thin position has thin spheres, then the thin sphere of lowest width is an essential surface in the link complement. In this paper we show that if we further assume that L ⊂ S3 is prime, then the thin sphere of lowest width also does not have any vertical cut-disks. We also prove the result for a specific kind of tangles in

In a setting where heterogeneous agents interact to accomplish a given set of goals, cooperation is of utmost importance, especially when agents cannot achieve their individual goals by exclusive use of their own efforts [1]. Even when we consider friendly environments and benevolent agents, cooperation involves several issues: with whom to cooperate, reciprocation, how to address credit assign...