Similarity relations, i.e., compatibility relations on words induced by relations on letters were introduced as a generalization of partial words in [9](i). There and in [10, 11] the main focus was on the effect of these relations on coding properties and on the defect theorem of words. In the article [8] we started the study of the interaction properties of periods with respect to similarity r...

In this paper we study age-varying plasticities across different components in an artificial neural network performing a reinforcement learning task. An evolutionary algorithm is given the task of mapping the age of agents to the plasticity levels of different network components. The results show that patterns of plasticity resembling biological sensitive periods appear, and that these periods ...

Anderson & Schubert (2007, Science, 317, 1384) proposed that Saturn’s rotation period can be ascertained by minimizing the dynamic heights of the 100 mbar isosurface with respect to the geoid; they derived a rotation period of 10h 32m 35s. We investigate the same approach for Jupiter to see if the Jovian rotation period is predicted by minimizing the dynamical heights of its isobaric (1 bar pre...

We construct two new families of basis for finite field extensions. Bases in the first family, the so-called elliptic bases, are not quite normal bases, but they allow very fast Frobenius exponentiation while preserving sparse multiplication formulas. Bases in the second family, the so-called normal elliptic bases are normal bases and allow fast (quasi-linear) arithmetic. We prove that all exte...

With some amazement I read the recent article of Wolfson et al. [1] on the comparison of the latent periods of multiple sclerosis (MS) in different populations. In MS only the age at the onset of the disease is known, albeit often with considerable uncertainty. The authors compare two samples of MS patients, from France and from Canada, for which the ages at the onset of the disease are virtual...

This paper establishes a theoretical framework to characterise the optimal behaviour of individuals who receive income periodically but make consumption decisions on a more frequent basis. The model incorporates price uncertainty and imperfect credit markets. The simulated numerical solution to this model shows that weekly consumption functions are ordered such that the functions within the pay...

— A period of a rational integral is the result of integrating, with respect to one or several variables, a rational function over a closed path. This work focuses particularly on periods depending on a parameter: in this case the period under consideration satisfies a linear differential equation, the Picard-Fuchs equation. I give a reduction algorithm that extends the Griffiths-Dwork reductio...

We obtain a lower bound on the multiplicative order of Gauss periods which generate normal bases over finite fields. This bound improves the previous bound of J. von zur Gathen and I. E. Shparlinski.

We prove various characterizations of the period torsor of abelian varieties, and we correct some errors in the literature. A shortened version of this paper will be submitted for publication.