We continue the study of projective module wavelet frames corresponding to diagonal dilation matrices on Rn with integer entries, focusing on the construction of a projective multi-resolution analysis corresponding to dilations whose domains are finitely generated projective modules over continuous complex-valued functions on ntori, n ≥ 3. We are able to generalize some of these results to dila...

INTRODUCTION Team training for procedural sedation for pediatric residents has traditionally consisted of didactic presentations and simulated scenarios using high-fidelity mannequins. We assessed the effectiveness of a virtual reality module in teaching preparation for and management of sedation for procedures. METHODS After developing a virtual reality environment in Second Life® (Linden La...

Let A be a dual Banach algebra with predual A∗ and consider the following assertions: (A) A is Connes-amenable; (B) A has a normal, virtual diagonal; (C) A∗ is an injective A-bimodule. For general A, all that is known is that (B) implies (A) whereas, for von Neumann algebras, (A), (B), and (C) are equivalent. We show that (C) always implies (B) whereas the converse is false for A = M(G) where G...

In this paper we construct a cylindrical module A♮H for an Hcomodule algebra A, where the antipode of the Hopf algebra H is bijective. We show that the cyclic module associated to the diagonal of A♮H is isomorphic with the cyclic module of the crossed product algebra A ⋊H. This enables us to derive a spectral sequence for the cyclic homology of the crossed product algebra. We also construct a c...

—In this paper, we introduce the " Garden Alive " system that allows users to interact with an emotionally intelligent virtual garden by manipulating tangible user interfaces. The Garden Alive aims to provide both entertainment and education. The proposed system is composed of three components. In the first module, tangible user interfaces bridge to the garden in a virtual world. In the second ...

We introduce the cylindrical module A♮H, where H is a Hopf algebra with S2 = idH and A is a Hopf module algebra over H. We show that there exists a cyclic map between the cyclic module of the crossed product algebra A⋊H and ∆(A♮H), the cyclic module related to the diagonal of A♮H. In the cocommutative case, ∆(A♮H) ∼= C•(A ⋊H). Finally we approximate ∆(A♮H) by a spectral sequence and we give an ...

Modern psychological theories of spatial cognition postulate the existence of a geometric module for reorientation. This concept is derived from experimental data showing that in rectangular arenas with distinct landmarks in the corners, disoriented rats often make diagonal errors, suggesting their preference for the geometric (arena shape) over the nongeometric (landmarks) cues. Moreover, sens...

the real environment into the virtual environment: This will simplify the environment for the user. Ignorance of useless objects makes the operation process efficient. In the abstraction process, if we use a predefined virtual environment (Figure 5a), it will be initialised when the application starts running. Otherwise we construct the new virtual environment, which happens when we use ViRAT t...