Dynamic veriication is a new approach to formal veriication, applicable to generic algorithms such as those found in the Standard Template Library (STL, part of the Draft ANSI/ISO C++ Standard Library). Using behavioral abstraction and symbolic execution techniques, veriications are carried out at a meta-level such that the results can be used in a variety of instances of the generic algorithms...

We present a new system for the estimation of note attributes from a live monophonic music source, within a short time delay and without any previous knowledge of the signal. The labelling is based on the temporal segmentation and the successive estimation of the fundamental frequency of the current note object. The setup, implemented around a small C library, is directed at the robust note seg...

Associative containers are basic generic classes of the C++ standard library. Access to the elements can be done by key or iterator, but not by rank. This paper presents a new implementation of the map class, which extends the Standard with the ability to support efficient direct access by rank without using extra space. This is achieved using LBST trees. This document reports on the algorithmi...

In this paper closed-form sums are given for various slowly-convergent infinite series which arise essentially from the differentiation of Dirichlet L-series. Some associated integrations are also considered. A small number of the results appear in standard tables, but most seem to be new.

Let G be a compact affine definable C group and let r be∞ or ω. We prove that the representative definable C functions on G is dense in the space of continuous functions on G. Moreover we compare the category of compact affine definable C groups D with that of compact real algebraic groups A.

We extend an interesting theorem of Yuan [12] for two quadratic forms to three matrices. Let C1, C2, C3 be three symmetric matrices in <n×n , if max{xT C1x, xT C2x, xT C3x} ≥ 0 for all x ∈ <n , it is proved that there exist ti ≥ 0 (i = 1, 2, 3) such that ∑3 i=1 ti = 1 and ∑3 i=1 ti Ci has at most one negative eigenvalue.

In this paper the Esscher premium calculation principle is applied to the non-compound collective model in a robust Bayesian context. We consider that uncertainty with regard to the prior distribution can be represented by the assumption that the unknown prior distribution belongs to a class of distributions 0 and examine the ranges of the Bayesian premium when the priors belong to such a class...

Consider the following spaces of 2π-periodic functions on the real line: C per([−π, π]) = {u ∈ C(R) : u(x + 2π) = u(x)} , for r ∈ [0,∞]. The case r = 0 is the continuous 2π-periodic functions, while the case r = ∞ is ths smooth 2π-periodic functions. For functions u = u(x1, . . . xn) we define the corresponding spaces C per([−π, π]) of C functions which are 2π-periodic in each coordinate. (All ...