The topological classification of critical points black holes in 4D Einstein-Gauss-Bonnet gravity coupled to Born-Infeld theory is investigated. Considered independently, Born-infeld corrections the Einstein action alter charge charged AdS hole system, whereas Gauss-Bonnet do not. For combined system though, total unaltered presence coupling.

Recently Laurie presented a new algorithm for the computation of (2n+1)-point Gauss-Kronrod quadrature rules with real nodes and positive weights. This algorithm first determines a symmetric tridiagonal matrix of order 2n+ 1 from certain mixed moments, and then computes a partial spectral factorization. We describe a new algorithm that does not require the entries of the tridiagonal matrix to b...

A general principle, dating back to Gauss, that is widely used in estimating the number of integer lattice points in nice sets S in R is that this number equals the volume of S with a small error term [4,5,13]. This approach is very useful, and can be proved to be rigorous, for example, if one considers the number of lattice points in sets rT, where the dimension n is fixed, T is a given nice s...

We show that the weights of extended Gauss-Legendre quadrature rules are all positive.

We propose two approaches to obtain an isometric embedding of the poloidal Kerr sub-manifold. The first one relies on convex integration process using corrugation from a primitive embedding. This allows us parameter family embeddings reaching limits second consists in consecutive numerical resolutions Gauss-Codazzi-Mainardi and frame equations. method requires geometric assumptions near equator...

It is shown that the Kronrod extension to the «-point Gauss integration rule, with respect to the weight function (1 x2)V~"2, 0 < M < 2, ju i= 1, is of exact precision 3n + 1 for n even and 3n + 2 for n odd. Similarly, for the (n-t-l)-point Lobatto rule, with — V¡ < M < 1, u ^ 0, the exact precision is 3n for n odd and 3n + 1 for n even.