Let $K$ be the function field of a curve over finite odd characteristic. We investigate using $L$-functions Galois extensions to effectively recover $K$. When is projective line with four rational points removed, we show how use ray class removed up automorphisms line. plane curve, equation that Artin-Schreier

Outlier detection methods are fundamental to all of data analysis. They are desirably robust, affine invariant, and computationally easy in any dimension. The powerful projection pursuit approach yields the “projection outlyingness”, which is affine invariant and highly robust and does not impose ellipsoidal contours like the Mahalanobis distance approach. However, it is highly computationally ...

Selman and Kautz’s work on knowledge compilation has established how approximation (strengthening and/or weakening) of a propositional knowledgebase can be used to speed up query processing, at the expense of completeness. In the classical approach, the knowledge-base is assumed to be presented as a propositional formula in conjunctive normal form (CNF), and Horn functions are used to overand u...

A b s t r a c t . In this contribution we consider the stability of linearity and differential uniformity of vector Boolean functions under certain constructions and modifications. These include compositions with affine surjections onto the input space and with aitlne surjections from the output space, inversions, adding coordinate functions, forming direct sums and restrictions to affine subsp...