We present a formalism that sums up both soft-virtual (SV) and next to SV (NSV) contributions all orders in perturbative QCD for the rapidity distribution of any colorless particle produced hadron colliders. have exploited factorization properties renormalisation group (RG) invariance differential cross-section achieve this. Using state-of-the-art multiloop multileg results, we determine comple...

In this paper, we give a new type of compact spaces, and study some their properties, namely #RG- space in topological spaces upon via the # rg-open set with modify theorem spaces.

The notion of soft sets is introduced as a general mathematical tool for dealing with uncertainty. In this work, we consider the concepts of GL-soft perfect sets, GR-soft perfect sets and G -soft perfect sets were introduced in the soft topological space (X, A, τ) with a soft G which are extensions of the concepts soft τG-closed, soft τG-dense in itself and soft τG-perfect, respectively. Also, ...

In this paper, we consider Nearest points" and Farthestpoints" in normed linear spaces. For normed space (X; ∥:∥), the set W subset X,we dene Pg; Fg;Rg where g 2 W. We obtion results about on Pg; Fg;Rg. Wend new results on Chebyshev centers in normed spaces. In nally we deneremotal center in normed spaces.