The Kac-Moody correction factor, first studied by Macdonald in the affine case, corrects failure of an identity found finite-dimensional root systems 1972. Subsequntly this factor appeared several formulas or analogue p-adic spherical theory for reductive groups. In article we view inverse as a function, prove convergency and holomorphy function on complexified Tits cone.

by using the trigonometric uniform splines of order 3 with a real tension factor, a numericalmethod is developed for solving a linear second order boundary value problems (2vbp) withdirichlet, neumann and cauchy types boundary conditions. the moment at the knots isapproximated by central finite-difference method. the order of convergence of the methodand the theory is illustrated by solving tes...

The study investigates collaborative learning of small groups via text-based computer-mediated communication. We analyzed how two approaches to pre-structure communication influence participation, individual knowledge transfer, the convergence of participation and the convergence of knowledge among peers. We varied the factor scripted cooperation and the factor scaffolding in a 2x2-design. 105 ...

This study investigates collaborative learning of small groups via text-based computer-mediated communication. We analyzed how two approaches to pre-structure communication influence participation, individual knowledge transfer, the convergence of participation and the convergence of knowledge among learning partners. We varied the factor "scripted cooperation" and the factor "scaffolding" in a...

in this paper‎, ‎following a very recent‎ ‎and new approach‎, ‎we further generalize recently introduced‎ ‎summability methods‎, ‎namely‎, ‎$i$-statistical convergence and‎ ‎$i$-lacunary statistical convergence (which extend the important‎ ‎summability methods‎, ‎statistical convergence and lacunary‎ ‎statistical convergence using ideals of $mathbb{n}$) and‎ ‎introduce the notions of $i$-statis...