Geometric methods proposed by Stallings [46] for treating finitely generated subgroups of free groups were successfully used to solve a wide collection of decision problems for free groups and their subgroups [3, 19, 29, 30, 36, 41, 49]. In the present paper we employ the generalized Stallings’ methods, developed by the author in [32], to solve various algorithmic problems concerning finitely g...

This research had three basic goals: (a) to identify manipulation tactics used in close relationships; (b) to document empirically the degree of generality and specificity of tactical deployment across relationship types (mates, friends, parents); and (c) to identify links between five major personality dimensions and the usage of manipulation tactics. Twelve manipulation tactics were identifie...

It is the purpose of this short note to indicate in which way certain amalgam spaces, deened in the spirit of N. Wiener, can be used to deal with questions arising in generalized harmonic analysis in several dimensions. In some sense these results are natural extensions of corresponding one-dimensional results due to N. Wiener (e.g. Theorem 29 in his book 33i]). Amalgams are taken with respect ...

Technology transfer has become recognised as a key factor in people’s efforts to implement information technology in diverse spheres of modern life, and particularly at the workplace. However, ‘transfer’ is a unidirectional conceptualisation of the processes of technology design and implementation. It veils the work of interpretation, mediation, and reshaping involved in the processes of ‘techn...

Metric Abstract Elementary Classes (MAECs) correspond to an amalgam of the notions of Abstract Elementary Classes (AECs) and Elementary Class in the Continuous Logic. In this work, we study a proof of uniqueness (up to isomorphism) of Limit Models in MAECs [ViZa10a, Za1x], under superstability-like assumptions. Assuming this uniqueness of Limit Models, it is possible to do a preliminar study of...

We study the local-in-time regularity of the Brownian motion with respect to localized variants of modulation spaces M s and Wiener amalgam spaces W p,q s . We show that the periodic Brownian motion belongs locally in time to M s (T) and W p,q s (T) for (s − 1)q < −1, and the condition on the indices is optimal. Moreover, with the Wiener measure μ on T, we show that (M s (T), μ) and (W p,q s (T...

BACKGROUND Amalgam that is used for dental fillings contains approximately 50% elemental mercury. During dental student training, amalgam is often removed by drilling without the use of water spray and suction, which are protective measures in preventing mercury aerosol. In this study we measured mercury vapor levels in ambient air during amalgam removal as is typically performed in dental trai...

We extend F. Holland’s definition of the space of resonant classes of functions, on the real line, to the space R(#pq) (I p, q ) of resonant classes of measures, on locally compact abelian groups. We characterize this space in terms of transformable measures and establish a realatlonship between R(pq) and the set of positive definite functions for amalgam spaces. As a consequence we answer the ...

We study inverse semigroup amalgams [S1, S2;U ], where S1 and S2 are finitely presented inverse semigroups with decidable word problem and U is an inverse semigroup with decidable membership problem in S1 and S2. We use a modified version of Bennett’s work on the structure of Schützenberger graphs of the R-classes of S1 ∗U S2 to state sufficient conditions for the amalgamated free products S1 ∗...