This paper is concerned with the problem of Boolean approximation in the following sense: given a Boolean function class and an arbitrary Boolean function, what is the function’s best proxy in the class? Specifically, what is its strongest logical consequence (or envelope) in the class of affine Boolean functions. We prove various properties of affine Boolean functions and their representation ...

The purpose of this article is to prove a ``Newton over Hodge'' result for exponential sums on curves. Let $X$ be smooth proper curve finite field $\mathbb{F}_q$ characteristic $p\geq 3$ and let $V \subset X$ an affine curve. For regular function $\overline{f}$ $V$, we may form the $L$-function $L(\overline{f},V,s)$ associated $\overline{f}$. In article, lower estimate Newton polygon $L(\overli...

In this paper we describe how the degrees of the irreducible characters of the affine subgroups of the classical groups under consideration can be found inductively. In [4] Gow obtained certain character degrees for all of the affine subgroups of the classical groups. We apply the method of Fischer to the above groups and, in addition to the character degrees given in [4], we obtain some ne...

Interest point detection is essential process for many computer vision applications, which must provide invariant points to several image variations, such as, rotation, zoom, blur, illumination variation and change of viewpoints. Harris-Affine detector is considered as one of the most effective interest point detectors, although it still presents vulnerability to some image. This paper proposes...

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We prove new Alexandrov-Fenchel type inequalities and new affine isoperimetric inequalities for mixed p-affine surface areas. We introduce a new class of bodies, the illumination surface bodies, and establish some of their properties. We show, for instance, that they are not necessarily convex. We give geometric interpretations of Lp affine surface areas, mixed p-affine surface areas and other ...

results: the mean age of participants in the experimental and control groups were 33.31 ± 7.47 and 34.38 ± 11.29 years, respectively. in the wright tube test for the hiv+ group, 71 individuals (79.8%) did not have an antibody against brucella spp., while 18 patients (20.2%) were positive for the antibody. according to the results of wright tube test for the control group, 63 (12.5%) participant...