In this paper, a new nonlinear conjugate gradient method is proposed for large-scale unconstrained optimization. The sufficient descent property holds without any line searches. We use some steplength technique which ensures the Zoutendijk condition to be held, this method is proved to be globally convergent. Finally, we improve it, and do further analysis.

Although ceramic hydroxyapatite (HAp) chromatography has been used as an alternative method ultracentrifugation for the production of vaccines, the mechanism of virus separation is still obscure. In order to begin to understand the mechanisms of virus separation, HAp surfaces were observed by scanning electron microscopy after chromatography with dengue viruses. When these processes were perfor...

A simple, selective, accurate high performance liquid chromatographic method was developed and validated for an analysis of Halobetasol Propionate and p-Chlorocresol in pharmaceutical formulations. Chromatographic separation achieved by gradient programme on a C18 column (Waters Novapak C-18, 250 x 4.6mm, 4μm column) utilizing a mobile phases of A (pH 2.5 phosphate buffer) and B (mixture of buf...

A novel, reversed-phase ultra-performance liquid chromatographic method was developed and validated for the determination of related substances in Naproxen (NAP) bulk drugs and dosage forms. The related substances included degradation and process-related impurities. The method was developed using the Waters Acquity BEH C18 column using the gradient program with mobile phase A of a pH 7.0 phosph...

Introduction Conclusions References

T study was motivated primarily by the author’s interest in numerical methods at both a teaching and research level. Much has already been written about “standard” Mathcad 6 and the purpose of this article is to focus on, and use, some of the features of Plus 6 which are not available in the standard version. In particular the use of the programming facility, which comes with Plus 6, is illustr...

Stylometry is the study of the computational and mathematical properties of style. The aim of a stylometrist is to derive stylometrics and models based upon those metrics to quantitatively gauge stylistic propensities. This paper presents a method of formulating a stylistic distance function via a weighted ratio of lexical stylometrics, the higher the ratio the more the styles diverge. The coef...

We consider the generalized airfoil equation in the situation where the index of the problem is −1. We periodize the problem, then discretize it by a fully discrete version of the trigonometric collocation method and apply the conjugate gradient method to solve the discretized problem. The approximate solution appears to be of optimal accuracy in a scale of Sobolev norms, and the N parameters o...

The vesicles of the sarcoplasmic membranes synthesize pyrophosphate from inorganic phosphate. Pyrophosphate synthesis proceeds as long as a calcium gradient is maintained across the vesicular membranes. Pyrophosphate synthesis is inhibited by low concentrations of nucleoside triphosphates.

The exact biochemical mechanism by which glucose is absorbed by the intestine against a concentration gradient is yet to be established. In 1933, Wilbrandt and Laszt (1) proposed the phosphorylation-dephosphorylation hypothesis for sugar absorption by the small intestine. In the same year Lundsgaard (2) suggested the same hypothesis for glucose reabsorption by the kidney tubules. Much of the ev...