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11  Articles
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We determine the possible intersection sizes of a Hermitian surface H{\mathcal H} with an irreducible quadric of PG(3,q2)PG(3,q^2) sharing at least a tangent plane at a common non-singular point when qq is even.

To any homogeneous polynomial h we naturally associate a variety Oh which maps birationally onto the graph Gh of the gradient map ?h and which agrees with the space of complete quadrics when h is the determinant of the generic symmetric matrix. We gi... see more

We examine quadratic surfaces in 3-space that are tangent to nine given figures. These figures can be points, lines, planes or quadrics. The numbers of tangent quadrics were determined by Hermann Schubert in 1879. We study the associated systems of polyno... see more

The research focuses on solving the problems, related to modeling the second-order surfaces (quadrics), the determinant of which includes tangent cones. All research was performed by the paradigm of using constructive methods of creation of algorithms. Th... see more

The Zariski closure of the central path which interior point algorithms track in convex optimization problems such as linear, quadratic, and semidefinite programs is an algebraic curve. The degree of this curve has been studied in relation to the complexi... see more

Two-dimensional linear spaces of symmetric matrices are classified by Segre symbols. After reviewing known facts from linear algebra and projective geometry, we address new questions motivated by algebraic statistics and optimization. We compute the recip... see more

The aim of this volume is to advance the understanding of linear spaces of symmetric matrices. These seemingly simple objects play many different roles across several fields of mathematics.For instance, in algebraic statistics these spaces appear as linea... see more

This paper aims to track the construction of maqa?id al-shari‘ah reasoning and reading patterns of maqa?id al-shari‘ah according to Ibn Taymiyah perspective. The study of the philosophy of Islamic Law in the perspective of Ibn Taymiyah in Islamic thought ... see more

O presente trabalho é o resultado de uma experiência didática realizada com estudantes do curso de Licenciatura em Matemática do Instituto Federal do Rio Grande do Sul – Campus Caxias do Sul, em 2013, na disciplina de Geometria Analítica II. Através de um... see more

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