Kautz series allow orthogonal series expansion of finiteenergy signals defined on a semi-infinite axis. The Kautz series consists of orthogonalized exponential functions or sequences. This series has as free parameters an ordered set of poles, each pole associated with an exponential function or sequence. For reasons of approximation and compact representation (coding), an appropriate set of or...

significance and objectives. A practical problem when integrating systems of linear ordinary differential equations, is that if we wish to sample the solution for a different value of an inherent parameter, then we must re-integrate. This is particularly inefficient when we want to accurately sample the solution over a continuous widespread set of parameter values. Though continuity methods res...

We propose a simple but effective method for enriching dictionary definitions with images based on image searches. Various query expansion methods using synonyms/hypernyms (or related words) are evaluated. We demonstrate that our method is effective in obtaining highprecision images that complement dictionary entries, even for words with abstract or multiple meanings.

The technique of relaxed power series expansion provides an efficient way to solve equations of the form F =Φ(F ), where the unknown F is a vector of power series, and where the solution can be obtained as the limit of the sequence 0,Φ(0),Φ(Φ(0)), . With respect to other techniques, such as Newton’s method, two major advantages are its generality and the fact that it takes advantage of possible...