Abstract
The statistical nature of the real solutions of a set of ±N random nonlinear equations constructed from N variables is examined, using analytical methods developed for neural networks. The nonlinearity of the equations is characterized by powers of the variables. The maximal ± under which the equations have a real solution is found for various cases. The application of the results to physical systems is also discussed.
Original language | English |
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Pages (from-to) | 520-523 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 65 |
Issue number | 4 |
DOIs | |
State | Published - 1990 |