We discuss intrinsic aspects of Krupka's approach to nite{order variational sequences. We recover in an intrinsic way the second{order varia-tional calculus for aane Lagrangians by means of a natural generalisation of rst{ordertheories. Moreover, we nd an intrinsic expressionfor the Helmholtz morphism using a technique introduced by Koll a r that we have adapted to our context. Introduction The...

Urine from normal and leukemic subjects on controlled low-purine diets was frac tionated by ion-exchange column chromatography, and the various effluent peaks exhibiting absorbance at 260 m/i were subjected to two-dimensional filter paper chromatography for further resolution. It appeared from gross examination of the chromatograms that there were a greater number and concentration of blue fluo...

In the course of a screening program for novel antibiotics showing antitumor activity, a cyclic peptide antibiotic sohbumycin was isolated from the culture broth of Streptomyces sp. No. 82-85, which had been isolated from a soil sample collected in Kanagawa prefecture, Japan. The isolation and physico-chemical properties of sohbumycin and fermentation and taxonomy of the producing organism, Str...

Abstract Based on the recent development of framework Volterra rough paths (Harang and Tindel in Stoch Process Appl 142:34–78, 2021), we consider here probabilistic construction path associated to fractional Brownian motion with $$H&gt;\frac{1}{2}$$ H &gt; 1 <mml:m...

In this paper, we introduce the Fractional Window-w Multibase NonAdjacent Form (Frac-wmbNAF) method to perform the scalar multiplication. This method generalizes the recently developed Window-w mbNAF (wmbNAF) method by allowing an unrestricted number of precomputed points. We then make a comprehensive analysis of the most recent and relevant methods existent in the literature for the ECC scalar...

1. The main aim of this report is to study decay estimates for global solutions of the system of linear crystal elasticity in three space dimensions for cubic crystals in the nearly isotropic case. In order to state the problem, we recall that the system of linear elasticity is of form $\frac{\partial^{2}u_{i}}{\partial t^{2}}=.\sum_{\wedge-}^{3}$. $c_{ijpq^{\frac{\partial^{2}u_{p}}{\partial x_...