In this paper, we give a numerical approach for approximating the solution of second kind Volterra integral equation with Logarithmic kernel using Block Pulse Functions (BPFs) and Taylor series expansion. Also, error analysis shows efficiency and applicability of the presented method. Finally, some numerical examples with exact solution are given.

Under very mild conditions, we prove that the number of components in a decomposable logarithmic combinatorial structure has a distribution which is close to Poisson in total variation. The conditions are satisfied for all assemblies, multisets and selections in the logarithmic class.The error in the Poisson approximation is shown under marginally more restrictive conditions to be of exact orde...

Transformations are a common technique used to linearize data so that simple linear regression can be applied. A common transformation used is the logarithmic transformation. This transforms data that follows an exponential pattern so that a straight line can be fit to it. In this study human chorionic gonadotropin (hCG) levels in women with gestational trophoblastic disease (GTD), which are kn...