The representation dimension was defined by M.Auslander in 1970 and is, due to spectacular recent progress, one of the most interesting homological invariants in representation theory. The precise value is not known in general, and is very hard to compute even for small examples. For group algebras, it is known in the case of cyclic Sylow subgroups, due to Auslander’s fundamental work. For some...

Modulatory projection neurons gate neuronal networks, such as those comprising motor central pattern generators; in turn, they receive feedback from the networks they gate. A recent study has shown that, in the crab stomatogastric ganglion, this feedback is also subject to modulation: the enhanced feedback feeds forward through the projection neurons to modify circuit output.

This has a unique solution v(x, t) = Ttf(x) in the sense of Hille and Phillips [14, p. 622] whenever Tt is a C0–semigroup on X with generator −A; one writes Tt = e−tA [14, p. 321]. In order to ensure that v(x, t) converges μ-almost everywhere to f(x) as t→ 0+, it is often necesary to impose further conditions on f . For any closed linear operator V in X, we recall that the domain of V is the Ba...

The collision test is an important statistical test for rejecting poor random number generators. The test simulates the throwing of balls randomly into urns. A problem in applying this test is to determine the number of urns, m, and the number of balls, n, so that the test is among the most powerful possible on a computer. The problem was tackled empirically. A set of canonical congruential gen...

Memoization is a key ingredient in every partial evaluator. It enables folding by caching previously specialized functions. It is essential to make polyvariant specialization terminate. Its implementation is reasonably straightforward in a standard specializer that represents functions by closures. With the advent of handwritten program-generator generators (PGGs), implementing memoization gets...

We examine multistability of several coexisting bursting patterns in a central pattern generator network composed of three Hodgkin-Huxley type cells coupled reciprocally by inhibitory synapses. We establish that the control of switching between bursting polyrhythms and their bifurcations are determined by the temporal characteristics, such as the duty cycle, of networked interneurons and the co...

Nuclear energy is one of the most important clean energy on earth presently. The steam generator secondary side is the key device of nuclear power station. As an important branch of special robot, nuclear robot is the most convenient and effective mean to inspect the steam generator. This paper describes one robot system which could help users inspecting tubes and locating the robot inside the ...

In this paper we report on a thermoelectric generator (TEG) using thermal isolation provided by a thick porous Si layer locally formed on the Si wafer and thermocouples composed of p-doped polycrystalline Si/Al. The "hot" contacts of the thermocouples lie on the porous Si layer, while the "cold" contacts lie on bulk crystalline Si. A housing was also designed and fabricated in order to transfer...