A well known method for convergence acceleration of a continued fraction K(an/bn) is based on the use of modified approximants Sn(ωn) in place of the classical ones Sn(0), where ωn are close to tails f (n) of the continued fraction. Recently (Numer. Algorithms 41 (2006), 297–317), the author proposed an iterative method producing tail approximations whose asymptotic expansion’s accuracy is impr...

Ibuprofen (I) is the most widely used non-steroidal anti-inflammatory drugs (NSAIDs) has been synthesized in recent years. NSAIDs are the first choice of drugs that are normally used for the treatment of pain and inflammation. There are many methods for synthesizing of I but each one has some difficulties as raw materials preparation, reaction conditions and etc. In an effort to establish modif...

Image segmentation is used to recognizing some objects or something that is more meaningful and easier to analyze In this paper we are focus on the the K means clustering for segmentation of the image. K-means clustering is the most widely used clustering algorithm to position the radial basis function (RBF) centres. Its simplicity and ability to perform on-line clustering may inspire this choi...

Transfer RNA (tRNA) contains a number of complex 'hypermodified' nucleosides that are essential for a number of genetic processes. Intermediate forms of these nucleosides are rarely found in tRNA despite the fact that modification is not generally a complete process. We propose that the modification machinery is tuned into an efficient 'assembly line' that performs the modification steps at sim...

This paper describes the application of two direct and one indirect methods for the extraction of microbial community DNA from soils polluted with heavy metals. DNA was extracted directly from soil using a gentle method based on soil incubation at 37°C with proteinase K and SDS, or the method was modified by the addition of a bead beating step. The indirect approach was based on the RNA/DNA ext...

High order splitting schemes with complex timesteps are applied to Kolmogorov backward equations stemming from stochastic differential equations in Stratonovich form. In the setting of weighted spaces, the necessary analyticity of the split semigroups can be easily proved. A numerical example from interest rate theory, the CIR2 model, is considered. The numerical results are robust for drift-do...

1 Department of Mathematics, Govt. College Kamoke, Gujranwala, Pakistan 2 Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan 3 Division of Science and Technology, University of Education, Lahore, Pakistan E-mail: [email protected], [email protected], [email protected] , [email protected]. ABSTRACT: In this paper, we present a new modified two-ste...