This is a continuation of Mirror Principle III [14].

We define the fundamental strict categorical group P2(M, ∗) of a based smooth manifold (M, ∗) and construct categorical holonomies, being smooth morphisms P2(M, ∗) → C(G), where C(G) is a Lie categorical group, by using a notion of categorical connections, which we define. As a result, we are able to define Wilson spheres in this context.

a viscosity model, based on eyring’s absolute rate theory combined with a cubic pr equation of state and wong-sandler mixing rule, has been proposed in order to correlate viscosities of aqueous solutions of alkanolamine mixtures at atmospheric pressure and different temperatures. in the proposed method, the energy and size parameters in studied equation of state (eos) have been obtained using t...

Text and context are two essential elements in human communication. Text can not exist in a vacuum. Its production and comprehension are influenced and restricted by context. This paper aims to analyze the relations between context and text with the framework of both traditional context and cognitive context by Sperber & Wilson.

How are body representations updated when we perform joint rhythmic actions, such as when a jazz player synchronizes with other musicians in the ensemble? We investigated this question using a continuous tapping task where musicians and non-musicians were instructed to imitate bimanual hand movements presented in the egocentric and the mirror orientation. The observed movements increased in tem...

We explore algorithms for generating random spanning trees. We first study an algorithm that was developed independently by David Alduous [1] and Andrei Broder [2]. The algorithm uses a a simple random walk in which edges that correspond to the first visit to vertices are added to the spanning tree. Analysis was inspired by Andrei Broder’s paper. Additionally, we study an algorithm by David Wil...

Edith Cowan Unive r s i t y I n c re a s i n g l y, telecommunications and information technology are being used in distance education to p rovide education to students in ru r a l and remote schools. This paper re p o rts on the insights and re s p o n s e s of a group of students who accessed the gifted and talented program via telematics during 1996-1997, using audiographic conferencing. For...

The Wilson-Cowan model describes the evolution of excitatory and inhibitory activity in a synaptically coupled neuronal network. As opposed to being a detailed biophysical model, the system is a coarse-grained description of the overall activity of a large-scale neuronal network, employing just two differential equations. Key parameters in the model are the strength of connectivity between each...