The Chebyshev orthogonal collocation is a powerful and accurate numerical technique, which is also relatively easy to implement using modern mathematical software (e.g., MATHEMATICA and MATLAB). This technique allows the elucidation of engineering problems involving partial differentials equations or boundary value problems. Six chemical engineering problems concerning the transfer of momentum,...

introduction: electroporation is a practical technique used to transport the molecules across the cell membrane. the utilization of fluorescent molecules is the method widely used to evaluate the electropermeability of cell membrane as a result of pulse application. it is also possible to use mathematical methods to predict the changes caused in cell electropermeability as a result of the chang...

Some personal thoughts and opinions on what “good quality mathematics” is and whether one should try to define this term rigorously. As a case study, the story of Szemerédi’s theorem is presented. 1. The many aspects of mathematical quality We all agree that mathematicians should strive to produce good mathematics. But how does one define “good mathematics”, and should one even dare to try at a...

Automatic processing of mathematical information on the web imposes some difficulties. This paper presents a novel technique for automatic generation of mathematical equations semantic and Arabic translation on the web. The proposed system facilitates unambiguous representation of mathematical equations by correlating equations to their known names. The ability to extract the equation meaning f...

Dark image enhancement is an essential requirement in image processing domain. As images are captured in different illumination conditions, it is important to enhance dark images or color images suffering from lack of contrast. The present algorithmsfor contrast enhancement sometimes result in artifacts andunnecessary changes. Recently Rivera et al. proposed a content aware algorithm for dark i...

Taking Mathematica and xThink as representatives of the state of the art in interactive mathematics, we argue conventional mathematical user interfaces leave much to be desired, because they separate the mathematics from the context of the user interface, which remains as unmathematical as ever. We put the usability of such systems into mathematical perspective, and compare the conventional app...

In this paper, the authors present and discuss a model for Cu-Se nano resonant tunneling diodes (RTDs) fabricated by negative template assisted electrodeposition technique and formulate the mathematical equations for it. The model successfully explains the experimental findings.

We give a self-contained presentation of our macroelement technique for verifying the stability of finite element discretizations of Navier-Stokes equations in the velocity-pressure formulation. The results are also presented in form suitable for the non-mathematical reader.