The discovery of mirror neurons has been hailed as one of the most 1 exciting developments in neuroscience in the past few decades. These neurons dis2 charge in response to the observation of others’ actions. But how are we to understand 3 the function of these neurons? In this paper I defend the idea that mirror neurons are 4 best conceived as components of a sensory system that has the functi...

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

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.

Using the subspace identification technique, we identify a finite dimensional, dynamical model of a recently developed prototype of a thermally actuated deformable mirror (TADM). The main advantage of the identified model over the models described by partial differential equations is its low complexity and low dimensionality. Consequently, the identified model can be easily used for high-perfor...