In this short and self contained paper we are proposing a simple penalty, which is a modification on the constraint set. We show that duality gap is eliminated under certain conditions.

1 Introduction (1) We consider Schrr odinger operators with a spectral gap, perturbed by either a decreasing electric potential or a decreasing magnetic eld. The strength of these perturbations depends on a coupling parameter. With growing, eigenvalues may move into the gap or out of the gap. Most of our results concern (lower) bounds for the number of eigenvalues that cross a xed energy level ...

The objective of this research was to establish if Zimbabwe has the potential and Information Communication Technology (ICT) capacity implement e-voting methods in country's often discredited electoral process. study adopted qualitative secondary data collected from relevant reports, questionnaires randomly distributed general populace as well interviews with Electoral Commission (ZEC) Postal T...

Purpose This paper investigates the logistics management in e-grocery sector. It contrasts key issues faced by practitioners and topics addressed academic literature, to identify potential misalignments between research practice propose avenues for future efforts. Design/methodology/approach work adopts a twofold methodological approach. From an perspective, systematic literature review (SLR) i...

A statistical procedure has been tried as a method of investigating the structure of language with the aid of data processing machines. The frequency of gaps of various lengths between occurrences of two specified words is counted. The results are compared with what would be expected if the occurrences of the two words were statistically independent. Deviations from the expected number give clu...

This document reviews the existing mechanisms for site renumbering for both IPv4 and IPv6, and it identifies operational issues with those mechanisms. It also summarises current technical proposals for additional mechanisms. Finally, there is a gap analysis identifying possible areas for future work.