Abstract Remote sensing techniques are currently used in different fields including irrigation and water management fields. One of the important is calculation consumption (WC). can be to estimate actual evapotranspiration it also crop coefficients based on spectral reflectance vegetation indices (VIs), from a relation with normalized difference index (NDVI), which an indicator for absorption r...

Consider a zero-dimensional ideal I in K[X1, . . . ,Xn]. Inspired by Faugère and Mou’s Sparse FGLM algorithm, we use Krylov sequences based on multiplication matrices of I in order to compute a description of its zero set by means of univariate polynomials. Steel recently showed how to use Coppersmith’s block-Wiedemann algorithm in this context; he describes an algorithm that can be easily para...

Gessel walks are lattice paths confined to the quarter plane that start at the origin and consist of unit steps going either West, East, South-West or North-East. In 2001, Ira Gessel conjectured a nice closed-form expression for the number of Gessel walks ending at the origin. In 2008, Kauers, Koutschan and Zeilberger gave a computer-aided proof of this conjecture. The same year, Bostan and Kau...

An isogeny between elliptic curves is an algebraic morphism which is a group homomorphism. Many applications in cryptography require evaluating large degree isogenies between elliptic curves efficiently. For ordinary curves of the same endomorphism ring, the previous best known algorithm has a worst case running time which is exponential in the length of the input. In this paper we show this pr...

V. Grosu, I. Bostan, “Stefan cel Mare”University, Faculty of Economics, Suceava, Romania. In light of the eff ects of the economic-fi nancial crisis and of the numerous changes occurring both on a European and a global level and altering the environment of the metalworking sector, the aim of the present paper is to focus on the specifi c alterations performed in the audit of the economic and fi...