If, in the mid 1980’s, one had asked the average statistician about the difficulties of using Bayesian Statistics, his/her most likely answer would have been “Well, there is this problem of selecting a prior distribution and then, even if one agrees on the prior, the whole Bayesian inference is simply impossible to implement in practice!” The same question asked in the 21th Century does not pro...

polycyclic aromatic hydrocarbons (such as, anthracene, benzo[a]pyrene and so on) are non-polar, hydrophobic compounds, which are not ionized. they are only slightly soluble in water. they are very dangerous compounds in the environment. the single-walled carbon nanotube (swnt) is used for removal and conversion of anthracene to low-risk products. in this study, electron transfer between anthrac...

a systematic way is presented for the construction of multi-step iterative method with frozen jacobian. the inclusion of an auxiliary function is discussed. the presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of newton multi-step method. the auxiliary function provides us the way to overcome the singul...