Bounds for the zeros of polynomials

Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem.     

Functionalized Polyphosphoester via Living Ring-opening Polymerization and Photochemical Thiol-ene Click Reaction

Poly(ethylene phosphonate)was synthesized via the living ring-opening polymerization of cyclic phos-phonate monomer catalyzed by organocatalyst.The pendant vinyl ftmctionalities were employed to perform the pho-tochemical click reactions wi&tMols.We demonstrated that both small thiol molecules and macromolecular thiols could be efficiently coupled into the PPE side chains,enabling the rapid and efficient functionalization of polyphos-phoesters(PPE).     

Identification of regeneration-associated genes after central and peripheral nerve injury in the adult rat

Background  

It is well known that neurons of the peripheral nervous system have the capacity to regenerate a severed axon leading to functional recovery, whereas neurons of the central nervous system do not regenerate successfully after injury. The underlying molecular programs initiated by axotomized peripheral and central nervous system neurons are not yet fully understood.     

Structure-specific DNA cleavage on surfaces

The structure-specific invasive cleavage reaction is a useful means for sensitive and specific detection of single nucleotide polymorphisms, or SNPs, directly from genomic DNA without a need for prior target amplification. A new approach integrating this invasive cleavage assay and surface DNA array technology has been developed for potentially large-scale SNP scoring in a parallel format. Two surface invasive cleavage reaction strategies were designed and implemented for a model SNP system in codon 158 of the human ApoE gene. The upstream oligonucleotide, which is required for the invasive cleavage reaction, is either co-immobilized on the surface along with the probe oligonucleotide or alternatively added in solution. The ability of this approach to unambiguously discriminate a single base difference was demonstrated using PCR-amplified human genomic DNA. A theoretical model relating the surface fluorescence intensity to the progress of the invasive cleavage reaction was developed and agreed well with experimental results.     

锂皂石修饰碳糊电极测定痕量铜的研究

报道了锂皂石修饰碳糊电极测定痕量铜，在含０．００１ｍｏｌ／Ｌ ＫＣｌ Ｃｕ＾＋２的试液中，开路富集后介质交换到０．０５ｍｏｌ／Ｌ ＫＣｌ中，用微分脉冲伏安法测定，检测限为７．０ｎｇ／ｍＬ。常见阳离子基本不干扰，可不经预先分离直接测定精金矿中铜的含量，结果良好。还探讨了Ｃｕ＾＋２在锂皂石修饰碳糊电极上的反应机理。     

Common due window size and location determination in a single machine scheduling problem

We consider a single machine static and deterministic scheduling problem in which jobs have a common due window. Jobs completed within the window incur no penalties, other jobs incur either earliness or tardiness penalties. The objective is to find the optimal size and location of the window as well as an optimal sequence to minimise a cost function based on earliness, tardiness, window size, and window location. We propose an O(n log n) algorithm to solve the problem.     

On infinite groups whose noncyclic norm has a finite index

We study groups in which the intersection of normalizers of all noncyclic subgroups (noncyclic norm) has a finite index. We prove that if the noncyclic norm of an infinite noncyclic group is locally graded and has a finite index in the group, then this group is central-by-finite and its noncyclic norm is a Dedekind group. Sumy Pedagogical Institute, Sumy. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 5, pp. 678–684, May, 1997.     

On groups all of whose noncyclic pd-subgroups are normal

We consider groups in which for some prime p all noncyclic abelian pd-subgroups are normal, assuming that such subgroups exist ( ). We obtain necessary and sufficient conditions for a group to be a . We make connections between the class of and the class of groups in which all noncyclic abelian subgroups are normal and with the class of groups in which all pd-subgroups are normal.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, Nos. 7 and 8, pp. 974–980, July–August, 1991.