Abstract: The problem of constructing a general continuous piecewise-linear neural network is considered in this paper. It is shown that every projection domain of an arbitrary continuous ...

Abstract: In this paper theorem of an algebraic identity that rewrites a product of n variables as additions of n th power functions is introduced. Theorem of a representation of continuous functions ...

This is a preview. Log in through your library . Abstract We define two functions f and g on the unit interval [0, 1] to be strongly conjugate $\operatorname{iff}$ there is an order-preserving ...

Sufficient conditions are found for the existence of nontrivial invariant subspaces for Toeplitz operators with piecewise continuous symbols. The results are obtained by estimating the norm of the ...