An algorithm due to Bengalloun that continuously enumerates the primes is adapted to give the rst prime number sieve that is simultaneously sublinear, additive, and smoothly incremental: { it employs only (n= log log n) additions of numbers of size O(n) to enumerate the primes up to n, equalling the performance of the fastest known algorithms for xed n; { the transition from n to n + 1 takes on...

I t is the best of times for the game of factoring large numbers into their prime factors. In 1970 it was barely possible to factor “hard” 20-digit numbers. In 1980, in the heyday of the Brillhart-Morrison continued fraction factoring algorithm, factoring of 50-digit numbers was becoming commonplace. In 1990 my own quadratic sieve factoring algorithm had doubled the length of the numbers that c...

We construct two families of deterministic sensing matrices where the columns are obtained by exponentiating codewords in the quaternary Delsarte-Goethals code DG(m, r). This method of construction results in sensing matrices with low coherence and spectral norm. The first family, which we call Delsarte-Goethals frames, are 2 dimensional tight frames with redundancy 2. The second family, which ...

Abstract Cinnamic acid is a phenolic compound that has the potential to act as natural antioxidant. esterification can be performed by adding alcohol an alkyl group donor. This carried out increase antioxidant capacity of cinnamic acid. Esterification with butanol donor was best condition modify In this study, synthesis butyl cinnamate using enzymatic membrane reactor (EMR) continuously Lipozym...

The infinite dimensional parameter estimation for stochastic heat diffusion equations is considered using the method of sieves. The consistency property is also studied for the long run data. Ah4S 1980 Subject Classifications: 93C29, 93E12.

The rate of hatching of Heterodera schachtii larvae was greatly increased by placing cysts in sieves enclosed by small disposable cups. An apparatus that permitted rapid storage of second-stage larvae at 10 C prolonged the viability of the larvae.

Manganese oxide octahedral molecular sieves (OMS-2) could act as an efficient, reusable heterogeneous catalyst for transformation of various primary amines to the corresponding primary amides through the sequence of oxidative dehydrogenation and successive hydration.