The newest, and asymptotically the fastest known integer factorisation algorithm is the number eld sieve. The area in which the number eld sieve has the greatest capacity for improvement is polynomial selection. The best known polynomial selection method nds quadratic polynomials. In this paper we examine the smoothness properties of integer values taken by these polynomials. Given a quadratic ...

This document specifies an Internet standards track protocol for the Internet community, and requests discussion and suggestions for improvements. Please refer to the current edition of the "Internet Official Protocol Standards" (STD 1) for the standardization state and status of this protocol. Distribution of this memo is unlimited. Abstract The Sieve email filtering language "spamtest", "spam...

We introduce a new framework for unsupervised learning of representations based on a novel hierarchical decomposition of information. Intuitively, data is passed through a series of progressively fine-grained sieves. Each layer of the sieve recovers a single latent factor that is maximally informative about multivariate dependence in the data. The data is transformed after each pass so that the...

Sieve [SIEVE] is a language for filtering e-mail messages at the time of final delivery. It is designed to be implementable on either a mail client or mail server. It is meant to be extensible, simple, and independent of access protocol, mail architecture, and operating system. It is suitable for running on a mail server where users may not be allowed to execute arbitrary programs, such as on b...

Sieve trays are widely used in the gas- liquid contactors such as distillation and absorption towers. In this article, a three-dimensional, two phase CFD model using Euler-Euler framework was developed to simulate a distillation tower with two sieve trays. Hydrodynamic simulation of air and water system in different rates of gas phase was carried out and velocity distribution parameters, clear ...

spinel-type of mno2 nanoparticles which successfully synthesized by a hydrothermal process, have a required capacity for lithium uptake from liquid resources. themost lithium adsorption capacity of 6.6 mmol/g of up to now was found to be an important limiting parameter for industrial applications. therefore, increasing uptake capacity of these ion sieves by studding the effect of six effective ...

In this paper we report on an implementation of the algorithm of Aldeman, De Marrais and Huang for the solution of the discrete logarithm problem on jacobians of hyperelliptic curves. The method of Aldeman, De Marrais and Huang is closely related to the Number Field Sieve factoring method which leads us to consider a \lattice sieve" version of the original method. The supposed intractability of...

This article presents a new distributed approach for generating all prime numbers up to a given limit. From Eratosthenes, who elaborated the first prime sieve (more than 2000 years ago), to the advances of the parallel computers (which have permitted to reach large limits or to obtain the previous results in a shorter time), prime numbers generation still represents an attractive domain of rese...

Autoradiography was used to determine the distribution of labeled sugar in conducting elements of the blade and petiole of sugar beet leaves at intervals ranging from 5 sec to 24 hr. The processes of assimilation by the green cells, collection of sugar in the minor veins and export in phloem elements were demonstrated visually. It appears that in minor veins sugar is translocated in companion c...