In this paper we present some formulae for topological invariants of projective complete intersection curves with isolated singularities in terms of the Milnor number, the Euler characteristic and the topological genus. ...

We present a simple proof of Königsberg's Criterion, [K] p.69 and also present families of irreducible polynomials over some fields. In particular, if (n, h) = 1, ao….., an-1 ϵ Z = ring of integers and p is a primer not ...

Let $\mathbb {F}_{q} $ be a finite field with $ q $ elements. In this thesis, we focus on two types of problems about irreducible polynomials. The first one is the construction of irreducible polynomials from the composition ...

© 2017 Elsevier B.V. Given a vector bundle E, on an irreducible projective variety X, we give a necessary and sufficient criterion for E to be a direct image of a line bundle under a surjective étale morphism. The criterion ...

In this study I propose an epistemological discussion of multiple spatio-temporal scales in neuroscience. Are such scales merely convenient levels of description of structure and function, or do they correspond to irreducible ...

In this study I propose an epistemological discussion of multiple spatio-temporal scales in neuroscience. Are such scales merely convenient levels of description of structure and function, or do they correspond to irreducible ...

The main goal of this paper is to establish some equivalence results on stability, recurrence, and ergodicity between a piecewise deterministic Markov process ( PDMP) {X( t)} and an embedded discrete-time Markov chain ...

Nowadays toleration is often understood as a pragmatic principle leading social coexistence. In this way, it becomes something extremely fragile. Instead, the authentic toleration has a strong hermeneutical justification: ...