In the paper, the author presents explicit and unified expressions for a sequence of improper integrals in terms of the beta functions and the Wallis ratios. Hereafter, the author derives integral representations for the Catalan numbers originating from combinatorics.

This study aims to develop an accurate dynamic cutting force model in the milling process. In proposed model, estimated tackles effect of self-excited vibration that causes machining instability during particular, square root residual between prediction and actual is considered as objective function for optimizing coefficients using equilibrium optimizer (EO) approach instead trial-and-error ap...

This paper presents a hybrid fuzzy-PID controller for air flow supply on a Proton Exchange Membrane fuel cell (PEMFC) system. The control objective is to adjust the oxygen excess ratio at a given setpoint in order to prevent oxygen starvation and damage of the fuel-cell stack. The proposed control scheme combines a fuzzy logic controller (FLC) and classical PID controller with a view to benefit...

The study was conducted to evaluate the differences in results obtained for assays of ionized calcium (iCa) by plain and heparinised blood sample and observe for any errors in values done by ion selective electrode (ISE) method and to determine which of the collection methods could be ideal and reliable. 49 samples of heparinised and 31 plain blood samples were analyzed at lab services, Apollo ...

In this paper, quadratic and sextic B-splines are used to construct an approximating function based on the integral values instead of the function values at the knots. This process due to the type of used B-splines (fourth order or sixth order), called integro quadratic or sextic spline interpolation. After introducing the integro quartic and sextic B-spline interpolation, their convergence is ...