Multi-layer feedforward neural networks with sigmoidal activation functions have been termed "universal function approximators". Although these types of networks can approximate any continuous function to a desired degree of accuracy, this approximation may require an inordinate number of hidden nodes and is only accurate over a finite interval. These short comings are due to the standard multi...

The joint probability density function, evaluated at the observed data, is commonly used as the likelihood function to compute maximum likelihood estimates. For some models, however, there exist paths in the parameter space along which this densityapproximation likelihood goes to infinity and maximum likelihood estimation breaks down. In applications, all observed data are discrete due to the r...

The main contribution of this paper is the introduction of unbounded nondeterminism into CSP-like languages with specification, which increases the expressive power of the specification language. This is achieved by extending the finite message set of such mixed languages to an infinite one. A denotational semantics and a refinement order are defined for such a language and the CSP constructors...

Kropholler and Mislin conjectured that groups acting admissibly on a finite-dimensional G-CW-complex with finite stabilisers admit a finitedimensional model for EFG, the classifying space for proper actions. This conjecture is known to hold for groups with bounded torsion. In this note we consider a large class of groups U containing the above and many known examples with unbounded torsion. We ...

We show that in multi-sender communication games where senders imperfectly observe the state, if the state space is large enough, then there can exist equilibria arbitrarily close to full revelation of the state as the noise in the senders’observations gets small. In the case of replacement noise, where the senders observe the true state with high probability, we show this under mild assumption...

This paper is concerned with the electromagnetic theory of microstretch elasticity. First, the initial boundary value problem is formulated in the framework of the linear dynamic theory of microstretch magnetoelectroelastic solids. Then, the spatial behavior of solutions is studied in both bounded and unbounded regions. The obtained result gives an exact idea of the domain of influence, in the ...

A "blend" is a two-point Hermite interpolational polynomial, typically of quite high degree. This note shows that implementing them in double Horner evaluation scheme has good backward error, and also the Lebesgue constant for balanced blend or nearly on interval [0,1] bounded by 2, independently grade degree approximation. On [-1,1], which more natural comparison, it course unbounded, but grow...

A rational number $r$ is called a left orderable slope of knot $K \subset S^3$ if the 3-manifold obtained from $S^3$ by $r$-surgery along $K$ has fundamental group. In this paper we consider double twist knots $C(k, l)$ in Conway notation. For any positive integers $m$ and $n$, show that form $C(2m, -2n)$, $C(2m+1, 2n)$ or -2n)$ then there an explicit unbounded interval $I$ such $r \in I$ $K$.