NÓS. QUEM SOMOS?

Quem somos nós: os Wari ́ encontram os Brancos

A New Family of Somos-like Recurrences

We exhibit a three parameter infinite family of quadratic recurrence relations inspired by the well known Somos sequences. For one infinite subfamily we prove that the recurrence generates an infinite sequence of integers by showing that the same sequence is generated by a linear recurrence (with suitable initial conditions). We also give conjectured relations among the three parameters so that...

Recurrence Relations for Elliptic Sequences : Every Somos 4 Is a Somos K

In his ‘Memoir on Elliptic Divisibility Sequences’, Morgan Ward’s definition of the said sequences has the remarkable feature that it does not become at all clear until deep into the paper that there exist nontrivial such sequences. Even then, Ward’s proof of coherence of his definition relies on displaying a sequence of values of quotients of Weierstraß σ -functions. We give a direct proof of ...

Hyperelliptic curves, continued fractions, and Somos sequences

We detail the continued fraction expansion of the square root of a monic polynomials of even degree. We note that each step of the expansion corresponds to addition of the divisor at infinity, and interpret the data yielded by the general expansion. In the quartic and sextic cases we observe explicitly that the parameters appearing in the continued fraction expansion yield integer sequences def...

Novas políticas de divisão de nós para a Slim-tree

This paper presents two new node split policies for the Slim-tree. When compared with the previously proposed policies they result in better distribution of elements on the tree nodes. This impacts positively on the performance of similarity queries such as nearest neighbors. The experimental results show that trees built with the proposed policies outperform those built with the above with reg...