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Schönhage-Strassen's algorithm is one of the best known algorithms for multiplying large integers. Implementing it ef?ciently is of utmost importance, since many other algorithms rely on it as a subroutine. We present here an improved implementation, based on the one distributed within the GMP library. The following ideas and techniques were used or(More)
The role of several natural and synthetic carotenoids as scavengers of free radicals was studied in homogeneous solutions. A set of free radicals: *OH, *OOH, and *CH(3) were generated by using the Fenton reaction in dimethyl sulfoxide. It was shown that the spin trapping technique is more informative than optical methods for the experimental conditions(More)
1. Wade TR, Ackerman AB. Cornoid lamellation. A histologic reaction pattern. Am J Dermatopathol 1980; 2: 5 ± 15. 2. Schamroth JM, Zlotogorski A, Gilead L. Porokeratosis of MibelliÐoverview and review of the literature. Acta Derm Venerol 1997; 77: 207 ± 213. 3. Fields LL, White CR Jr, Maziarz RT. Rapid development of disseminated super®cial porokeratosis(More)
The Elliptic Curve Method (ECM) of factorization can be used in the relation collection phase of the Number Field Sieve (NFS) to help identify smooth integers. This requires rapidly nding small prime factors for a large number of composites, each of a few machine words in size. We present a software implementation of ECM that is optimized for high(More)
1H NMR and CIDNP methods were used to demonstrate that triterpene glycoside (glycyrrhizic acid, GA) can substantially change the efficiency and direction of phototransformation of alkaloid lappaconitine (LA) due to both its solubilization in GA micelles and protonation of LA amine nitrogen in water-alcohol solutions. The LA solubilization in the GA micelle(More)
X-irradiation of alkane solutions of N,N-dimethylaniline with various organic luminophores produces characteristic emission bands ascribed to the corresponding exciplexes. In contrast to optical generation, which requires diffusion-controlled quenching of excited states, an additional channel of exciplex formation via irreversible recombination of radical(More)