A variety of techniques have been developed for the approximation non-periodic functions. In particular, there are based on rank-1 lattices and transformed lattices, including methods that use sampling sets consisting Chebyshev- tent-transformed nodes. We compare these with a parameterized Fourier system yields similar $$\ell _2$$ -approximation errors.

Theory of the energy evolution in laser resonators with saturated gain and non-saturated loss is revisited. An explicit analytical expression for the output energy/average power in terms of the gain saturation energy, cavity loss and small signal gain parameters is derived for a ring cavity configuration.

In WLANs, realtime traffic has always been given higher priority than data traffic. This creates an incentive for data users to pretend to be real-time users, which benefits themselves and degrades the performance of the rest. Our report proposes a tradeoff mechanism which benefits both low-rate realtime traffic and greedy data traffic. To understand the interaction between these two types of t...

In this paper we study particular classes of pseudo-BCK algebras, bounded or not bounded, as pseudo-BCK(pP) algebras, pseudo-BCK(pP) lattices, pseudo-Hájek(pP) algebras and pseudo-Wajsberg algebras. We introduce new classes of pseudo-BCK(pP) lattices, we establish hierarchies and we give some examples. We work with left-defined algebras and we work with → and ; as primitive operations, not with...

A mathematical model for conjectures in orthocomplemented lattices is presented. After defining when a conjecture is a consequence or a hypothesis, some operators of conjectures, consequences and hypotheses are introduced and some properties they show are studied. This is the case, for example, of being monotonic or non-monotonic operators. As orthocomplemented lattices contain orthomodular lat...

A set of vectors all of which have a constant (non-zero) norm value in a Euclidean lattice is called a shell of the lattice. Venkov classified strongly perfect lattices of minimum 3 (Rèseuaux et “designs” sphérique, 2001), whose minimal shell is a spherical 5-design. This note considers the classification of integral lattices whose shells of norm 3 are 5-designs.