We discuss how to implement an " environmentally friendly " renormalization in the context of finite temperature field theory. Environmentally friendly renormalization provides a method for interpolating between the different effective field theories which characterize different asymptotic regimes. We give explicit two loop Padé resummed results for λφ 4 theory for T > T c. We examine the impli...

This study investigates phonetic factors – vocalic/consonantal context, duration, stress favouring rhotic perception of the lateral approximant in Greek. Nonsense words containing the lateral in different lengths in both intervocalic and internal coda position, alongside similar words containing a rhotic, were presented to Greek listeners for categorisation as /l/ or /r/. Results showed that la...

A two point Padé approximation of the current and quantity of penetrant at the material transport boundary problems in finite membranes is derived from infinite series expansion. These are shown to be in excellent agreement with previous studies

Combinatorial identities that were needed in [24] are proved, mostly with C. Schneider’s computer algebra package Sigma. The form of the Padé approximation of the logarithm of arbitrary order is stated as a conjecture.

Based on the Padé approximation method, in this paper we determine the coefficients [Formula: see text] and [Formula: see text] such that [Formula: see text] where [Formula: see text] is any given integer. Based on the obtained result, we establish a more accurate formula for approximating π, which refines some known results.