Breaking a big integer into two factors is a famous problem in the field of Mathematics and Cryptography for years. Many crypto-systems use such a big number as their key or part of a key with the assumption it is too big that the fastest factorisation algorithms running on the fastest computers would take impractically long period of time to factorise. Hence, many efforts have been provided to...

Let p be an odd prime such that p ≡ 3 mod 4 and n be an odd integer. In this paper, two new families of p-ary sequences of period N = p −1 2 are constructed by two decimated p-ary m-sequences m(2t) and m(dt), where d = 4 and d = (p +1)/2 = N +1. The upper bound on the magnitude of correlation values of two sequences in the family is derived using Weil bound. Their upper bound is derived as 3 √ ...

With the initiation of cardiopulmonary bypass (CPB), using a membrane oxygenator, the drop in circulating fentanyl concentration is greater than can be attributed to dilution alone. This study examined the Scimed brand (2A-800) membrane oxygenator as a site of fentanyl binding. Initial experiments used an assembled CPB circuit. Subsequent dissection and analysis of the oxygenator revealed that ...

in order to study the effects of on-farm seed priming and sowing date on germination percentage, germination speed, and some growth indices of three soybean cultivars, a field experiment was carried out in three replications using a split plot factorial in a randomized complete block design. main plots were representative of two sowing date (5th and 21th of may), while subplots included combina...

in this work, by employing the krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime...

sufficient measurements of effective parameters with suitable temporal and spatial distributions for all phenomena are needed. however, providing the data and informations are difficult and costly. so, temporal and/or spatial downscaling is of prime importance. by downscaling, one can generate data from available ones. there are diffent downscaling methods in literature but they are not compare...