In this note we consider a collection C of one parameter families of unimodal maps of [0, 1]. Each family in the collection has the form {μf} where μ ∈ [0, 1]. Denoting the kneading sequence of μf by K(μf), we will prove that for each member of C, the map μ 7→ K(μf) is monotone. It then follows that for each member of C the map μ 7→ h(μf) is monotone, where h(μf) is the topological entropy of μ...

paracetamol is a sparingly soluble bitter tasting drug. it is widely used as an analgesic and antipyretic. complexation of drug with different cyclodextrins (?, ? and hp-?-cd) was attempted to improve solubility of paracetamol. during the drug excipient interaction studies, ?, ? cyclodextrins elicited analytical interference and showed considerable absorbance at ?max (243.5 nm) of paracetamol w...

In this paper we initiate the study of the arithmetical properties of a set numbers which encode the dynamics of unimodal maps in a universal way along with that of the corresponding topological zeta function. Here we are concerned in particular with the Feigenbaum bifurcation. 1 Preliminaries. We start by reviewing some basic ideas of (a version of) the kneading theory for unimodal maps. For r...