系列 
Series on number theory and its applications ; vol. 9 
附註 
1. Series on number theory and its applications  2. Caianiello's equations  3. Rotation numbers  4. Classification of [symbol]  5. Farey series  6. Further investigation of [symbols]  7. Limit sets [symbol] and [symbol]  8. Piecewise linear maps  9. Orbital and itinerary functions  10. Farey structure  11. [symbol] and [symbol]leaves  12. Approximations to HeckeMahler series 

This unique volume presents a fruitful and beautiful mathematical world hidden in Caianiello's neuronic equations, which describe the instantaneous behavior of a model of a brain or thinking machine. The detailed analysis from a viewpoint of "dynamical systems", even in a single neuron case, enables us to obtain amazingly good rational approximations to the HeckeMahler series with two variables. Some interesting numerical applications of our rational approximations are also discussed. This book is fundamentally selfcontained and many topics required in it are explained from the beginning. Each chapter contains a number of instructive and mostly original exercises at various levels 
主題 
Neural networks (Computer science)  Mathematics

