the membrane separation technology by relying on microfiltration ultrafiltration, and reverse osmosis methods are becoming more important among consulting engineers, designers of environmental pollution control system, and industrial factories. the advantages of this technology together with its emphasis on recycling the fluid to the system and reusing the membranes have caused the membranes to...

To Paulo Ribenboim and his friends, the primes. 1. INTRODUCTION. It has long been known that there are infinitely many primes, and that there are infinitely many primes in any arithmetic progression a, a + d, a + 2d,. .. provided gcd(a, d) = 1 and d ≥ 1. If we ask slightly more involved questions, such as whether there exist infinitely many primes of the form n

We propose and analyze a heterogeneous, multigroup, susceptible-infectivesusceptible (SIS) sexually transmitted disease (STD) model where the desirability and acceptability in partnership formations are functions of the infected individuals. We derive explicit formulas for the epidemic thresholds, prove the existence and uniqueness of the equilibrium states for the two-group model and provide a...

We review the arguments in favor of using so called strong primes in the RSA public key cryptosystem There are two types of such arguments those that say that strong primes are needed to protect against factoring attacks and those that say that strong primes are needed to protect against cycling attacks based on repeated encryption We argue that contrary to common belief it is unnecessary to us...

People have a tendency to unconsciously mimic other's actions. This mimicry has been regarded as a prosocial response which increases social affiliation. Previous research on social priming of mimicry demonstrated an assimilative relationship between mimicry and prosociality of the primed construct: prosocial primes elicit stronger mimicry whereas antisocial primes decrease mimicry. The present...

There are a number of subsets of primes with a conjectured density of a constant times x/ log x. These include the primes separated by a fixed even integer, Sophie Germain primes and the so-called “thin primes”, i.e. primes of the form 2q − 1 where q is prime [3]. In order to gain some familiarity with sequences of this density we undertook an investigation of the set of primes of prime order, ...

Let pn denote the nth prime. Goldston, Pintz, and Yıldırım recently proved that lim inf n→∞ (pn+1 − pn) log pn = 0. We give an alternative proof of this result. We also prove some corresponding results for numbers with two prime factors. Let qn denote the nth number that is a product of exactly two distinct primes. We prove that lim inf n→∞ (qn+1 − qn) ≤ 26. If an appropriate generalization of ...

Huber, Shriffrin, Lyle, and Ruys (2001) measured short-term repetition priming effects in perceptual identification with two-alternative forced-choice testing. There was a preference to choose repeated words following passive viewing of primes and a preference against choosing repeated words following active responding to primes. In this present study, we explored conditions of prime processing...