We first propose a “geometrical” axiomatization for the theory of closed ordered differential fields (denoted CODF) introduced by M.Singer in 1978 (see [Si]). This axiomatization is the analogue of the Pierce-Pillay axiomatization for the theory of differentially closed fields of characteristic zero (see [PP]). We also remark that a differential lifting principle can be used to prove that CODF ...

Abstract Various systematic modifications of vectorial Boolean functions have been used for finding new previously unknown classes S-boxes with good or even optimal differential uniformity and nonlinearity. In this paper, a general modification method is given that preserves the bijectivity property function in case inverse admits linear structure. A known construction such based on bijective G...

1, Differential equations in one space dimension. The simplest hyperbolic differential equation is given by (1.1) du/dt = cdu/dx, where c is a constant, Its general solution is u(x, t) — F(x + ci), i.e., it is constant along the "characteristic lines" x + ct = const (see Figure 1). Therefore, if we u(l,t) = g(t) u(0,t)*g(t want to determine the solution of (1.1) in the region 0 ^ x ^ 1, t ja 0,...

I ncreasing production efficiency is becoming a major theme for producers in order to maintain or increase their economic return in an increasingly competitive global market. In the case of irrigated agriculture, producers must also address increasing public concern about water conservation, water quality, and environmental protection. Two irrigation management issues require attention in order...

We investigate computing models that are presented as families of finite computing devices with a uniformity condition on the entire family. Examples of such models include Boolean circuits, membrane systems, DNA computers, chemical reaction networks and tile assembly systems, and there are many others. However, in such models there are actually two distinct kinds of uniformity condition. The f...

l’école du réalisme, dont honoré de balzac est le meilleur représentant, se forma au xixe siècle et visa de refléter minutieusement la réalité socio-historique. l’une des techniques établies par les écrivains de cette école, est le retour des personnages, qui par leur évolution dans la vie, mettent en scène l’évolution de la société et du temps. parmi les romanciers contemporains persans, mosta...