3,668 research outputs found
Vacuum polarization in a cosmic string spacetime induced by flat boundary
In this paper we analyze the vacuum expectation values of the field squared
and the energy-momentum tensor associated to a massive scalar field in a higher
dimensional cosmic string spacetime, obeying Dirichlet or Neumann boundary
conditions on the surface orthogonal to the string.Comment: 12 pages, 5 figures, talk presented at the 8th Alexander Friedmann
International Seminar on Gravitation and Cosmology, in Rio de Janeiro, Brazi
Neural Distributed Autoassociative Memories: A Survey
Introduction. Neural network models of autoassociative, distributed memory
allow storage and retrieval of many items (vectors) where the number of stored
items can exceed the vector dimension (the number of neurons in the network).
This opens the possibility of a sublinear time search (in the number of stored
items) for approximate nearest neighbors among vectors of high dimension. The
purpose of this paper is to review models of autoassociative, distributed
memory that can be naturally implemented by neural networks (mainly with local
learning rules and iterative dynamics based on information locally available to
neurons). Scope. The survey is focused mainly on the networks of Hopfield,
Willshaw and Potts, that have connections between pairs of neurons and operate
on sparse binary vectors. We discuss not only autoassociative memory, but also
the generalization properties of these networks. We also consider neural
networks with higher-order connections and networks with a bipartite graph
structure for non-binary data with linear constraints. Conclusions. In
conclusion we discuss the relations to similarity search, advantages and
drawbacks of these techniques, and topics for further research. An interesting
and still not completely resolved question is whether neural autoassociative
memories can search for approximate nearest neighbors faster than other index
structures for similarity search, in particular for the case of very high
dimensional vectors.Comment: 31 page
Covalently Binding the Photosystem I to Carbon Nanotubes
We present a chemical route to covalently couple the photosystem I (PS I) to
carbon nanotubes (CNTs). Small linker molecules are used to connect the PS I to
the CNTs. Hybrid systems, consisting of CNTs and the PS I, promise new
photo-induced transport phenomena due to the outstanding optoelectronic
properties of the robust cyanobacteria membrane protein PS I
Time machines: the Principle of Self-Consistency as a consequence of the Principle of Minimal Action
We consider the action principle to derive the classical, non-relativistic
motion of a self-interacting particle in a 4-D Lorentzian spacetime containing
a wormhole and which allows the existence of closed time-like curves. For the
case of a `hard-sphere' self-interaction potential we show that the only
possible trajectories (for a particle with fixed initial and final positions
and which traverses the wormhole once) minimizing the classical action are
those which are globally self-consistent, and that the `Principle of
self-consistency' (originally introduced by Novikov) is thus a natural
consequence of the `Principle of minimal action.'Comment: 26 pages, plain latex; modified version includes extra constraint for
collinear collision case and other minor misprints correction
- …