Two cases of chromosomal translocations involving the long arm of chromosome 1 were investigated for 5S ribosomal gene localisation using in situ hybridisation. In the first family, there was an interstitial translocation of 1q25-32 to chromosome 5; the 5S genes remained on chromosome 1. In the second family, there was a translocation of 1q42-44 to chromosome 21q12; the 5S gene locus in this ca...

* Correspondence: [email protected] Abdus Salam School of Mathematical Sciences, GC University, 68-b, New Muslim Town, Lahore 54600, Pakistan Full list of author information is available at the end of the article Abstract In this paper, we extend some old and give some new refinements of the JensenSteffensen inequality. Further, we investigate the log-convexity and the exponential conve...

We provide suucient conditions for the convergence of Steeensen's method to a locally unique solution of a nonlinear operator equation on a Banach space. We use a xed point theorem and a special choice of divided diierences. Some applications of our results are also provided.

F R O M the results of experiments involving autoradiography of stretched H3 thymidine-labelled salivary gland chromosomes of Drosophila melanogaster, and a consideration of previously published evidence, STEFFENSEN (1963) has concluded that DNA (deoxyribonucleic acid) is absent from the interband regions of these chromosomes. In opposition to this conclusion are the results presented in this r...

The vascular system in fish is divided into two components, the blood circulation and a secondary circulatory system, which is a vessel system referred to by earlier authors as ‘lymphatics’. Also, Wardle (1971) used the latter term for his description of the secondary system. However, true lymphatics are defined solely anatomically (and not functionally) as a system of vessels without direct va...

We present a local convergence analysis for a family of Steffensen-type fourth-order methods in order to approximate a solution of a nonlinear equation. We use hypotheses up to the first derivative in contrast to earlier studies such as [1], [5]-[28] using hypotheses up to the fifth derivative. This way the applicability of these methods is extended under weaker hypotheses. Moreover the radius ...