Abstract The existing recommendations for the structure-based nomenclature of regular single-strand organic polymers are extrapolated to complex polymers. key proposal is that polymeric moieties may be named substituents. types covered include linear and branched containing more than one block a single type constitutional repeating unit (CRU) main chain from which or side chains emanate.

where skm are real numbers, pk0(t) ∈ C2[a,b], p00(t)p20(t) = 0, p00(t)/p20(t) > 0 for t ∈ [a,b]. Let s2m < s0m + 2, s2m ≤ s1m + 2, m = 0,1, that is, we consider the case of so-called regular singularities. Operators with irregular singularities possess different qualitative properties and require different investigations. Since the solutions of (1.1) may have singularities at the endpoints of t...

This note contains a short review of the notion of linearization of regular matrix polynomials. The objective is clarification of this notion when the polynomial has an “eigenvalue at infinity”. The theory is extended to admit reduction by locally unimodular analytic matrix functions.

A large part of the modern theory of differential equations in the complex domain is concerned with regular singularities and holonomic systems. However the theory of differential equations with irregular singularities has a long history and has become very active in recent years. Substantial links of this theory to the theory of algebraic groups, commutative algebra, resurgent functions, and G...

Research of protein is pivotal to the drug discovery, since most of the drugs act upon proteins inside human body. Drugs act when they are close to the concave portions, so called “pockets”, of protein surfaces. Therefore, detection and analysis of the pockets are also important for the drug discovery. This paper presents a fast pocket extraction and evaluation technique for protein surfaces. S...