Gaudry present a variation of index calculus attack for solving the DLP in the Jacobian of hyperelliptic curves. Harley and Thérialut improve these kind of algorithm. Here, we will present a variation of these kind of algorithm, which is faster than previous ones.

This article is the result of a research project that aimed to characterize communication skills developed by students who solved problems seven workshops related notions variation and change within framework pre-calculus laboratory course mediated interactive mathematical software at Colombian public university. Data analysis was performed considering characterization interpretation, explanati...

Abstract A scheme for the analytical stochastization of ordinary differential equations (ODEs) is presented in this article. Using Itô calculus, an ODE transformed into a stochastic equation (SDE) such way that solutions obtained can be constructed. Furthermore, constructed trajectories remain bounded same interval as deterministic solutions. The proposed approach stark contrast to methods base...

Multiplicative linear logic (MLL) was introduced in Gi87] as a one-sided sequent calculus: linear negation is a notion that is deened, via De Morgan identities. One obtains proof nets for MLL by identifying derivations in the one-sided calculus that are equal up to a permutation of inference rules. In this paper we consider a similar quotient for the formulation of MLL as a two-sided sequent ca...

Different pattern calculi integrate the functional mechanisms from the λ-calculus and the matching capabilities from rewriting. Several approaches are used to obtain the confluence but in practice the proof methods share the same structure and each variation on the way patternabstractions are applied needs another proof of confluence. We propose here a generic confluence proof where the way pat...

fractional calculus has been used to model physical and engineering processes that are found to be best described by fractional differential equations. therefore, a reliable and efficient technique as a solution is regarded.this paper develops approximate solutions for boundary value problems ofdifferential equations with non-integer order by using the shannon waveletbases. wavelet bases have d...

We propose a new model for image decomposition which separates an image into a cartoon, consisting only of geometric objects, and an oscillatory component, consisting of textures and noise. The model is given in a variational formulation with adaptive regularization norms for both the cartoon and texture part. The energy for the cartoon interpolates between total variation regularization and is...

A variational problem for three fluids in which gravitational and surface tension forces are in equilibrium is studied using sets of finite perimeter and functions of bounded variation. Existence theorems are proven which imply the existence of an axisymmetric floating drop. This problem has been studied previously as a free boundary problem for axisymmetric capillary surfaces by Elcrat, Neel a...