We define an invariant of a multi-valued logic gate by considering the number of certain threshold functions associated with the gate. We call this invariant the continuous sensitivity of the gate. We discuss a method for analysing continuous sensitivity of a multi-valued logic gate by using experimental data about the gate. In particular, we will show that this invariant provides a lower bound...

The result was that, when guys at MIT or Princeton had trouble doing a certain integral, it was because they couldn’t do it with the standard methods they had learned in school. If it was contour integration, they would have found it; if it was a simple series expansion, they would have found it. Then I come along and try differentiating under the integral sign, and often it worked. So I got a ...

The massless one-loop three-point integral is obtained in terms of associated Clausen functions. The expression is manifestly symmetric in the three external variables. The main 'features of associated Clausen functions and their series expansions are presented. We also introduce the L-functions as analytical extensions of the associated Clausen functions.

In this paper, we present an estimation procedure which uses both option prices and highfrequency spot price feeds to estimate jointly the objective and risk-neutral parameters of stochastic volatility models. The procedure is based on a method of moments that uses analytical expressions for the moments of the integrated volatility and series expansions of option prices and implied volatilities...

Power series expansions for the even and odd angular Mathieu functions Sem(h, cos θ) and Som(h, cos θ), with small argument h, are derived for general integer values of m. The expansion coefficients that we evaluate are also useful for the calculation of the corresponding radial functions of any kind.

This paper describes our participation in the Medical Retrieval task at ImageCLEF 2008. We present the joint work of two teams belonging to the TEXT-MESS project using a new system that combines the 2 individual systems of these teams. The aim of the experiments performed is to figure out if there are techniques used in one of the two systems which can complement the other system in order to im...

The appearance of microblogging services has led to many short documents being issued by crowds of people. To retrieve useful information from among such a huge quantity of messages, query expansion (QE) is usually used to enrich a user query. Some QE methods for microblog search utilize temporal properties (e.g., recency and temporal variation) derived from the real-time characteristic that ma...

We propose a new query expansion method in the extended Boolean model that improves precision without degrading recall. For improving precision, our method promotes the ranks of documents having more query terms since users typically prefer such documents. The proposed method consists of the following three steps: (1) expanding the query by adding new terms related to each term of the query, (2...