By combining and improving recent techniques results, we provide explicit estimates for the error terms |π(x)−li(x)|, |θ(x)−x| |ψ(x)−x| appearing in prime number theorem. For example, show all x≥2 that |ψ(x)−x|≤9.39x(log⁡x)1.515exp⁡(−0.8274log⁡x). Our rely heavily on zero-free regions zero-density Riemann zeta-function, improve existing bounds prime-counting functions large values of x.

PURPOSE To evaluate the cytotoxicity of temporary luting cements on bovine dental pulp-derived cells (bDPCs). MATERIALS AND METHODS Four different temporary cements were tested: Rely X Temp E (3M ESPE), Ultratemp (Ultradent), GC Fuji Temp (GC), and Rely X Temp NE (3M ESPE). The materials were prepared as discs and incubated in Dulbecco's modified eagle's culture medium (DMEM) for 72 hours acc...

Many organisms face a dilemma rooted in the unequal numbers of X chromosomes carried by the two sexes and the need to maintain equivalent expression of X-linked genes. Several strategies have arisen to cope with this problem. All rely on accurately targeting epigenetic modifications to entire chromosomes. Targeting results from the action of recognition elements that attract modification and ma...

We are motivated by the fact that fixed Increase rates and Decrease ratios for AIMD cannot adjust TCP’s performance to the Internet’s diverse networking conditions. Indeed, we find that fixed values for the increase/decrease factors of AIMD restrain flexibility, which is a fundamental property of transport protocols in order to guarantee utilisation and fairness in Modern and Future Internetwor...

It is important for any data language that it enables many people to derive correct information from a databases in a simple, effective way with predictable performance. In an analysis is shown that SQL cannot fulfill these essential preconditions. It is caused by insufficient structural semantics of the relational model and the related operations in SQL. This follows from a comparison with res...