We apologize the readers for the mistake made in equation (53) on page 531, which was found by us in paper [1] after its publication in the Robotica Journal. Namely, values of function s defined in equation (53) are always greater or equal to unity: s(t) ≥ 1 for all t ≥ 0. On the other hand, the inverse 1/s(t), which was used in the left-hand side of (53), belongs to the set (0, 1] (function s ...

This paper introduces a new method in the study of representations of groups into affine algebraic groups. In this work we focus on the study of SLnrepresentations and postpone the consideration of the theory in full to future papers. Let G be a group and let R be a commutative ring with unity. There is a commutative R-algebra Repn(G), called the universal representation algebra, and the univer...

In this paper, we studied and formulated the relapsed SIR model of a constant size population with standard incidence rate. Also, the optimal control problem with treatment and vaccination as controls, subject to the model is formulated. The analysis carried out on the model, clearly showed that the infection free steady state is globally asymptotically stable if the bas...

The results of the implementation scientific project “The Semantics Unity and Animosity in Russian Lexis Phraseology: Language System Discourse” supported by Science Foundation are presented. It is based on thesis that language acts as a way indexing referents — realities ideas about reality. semantic-motivational approach to study vocabulary phraseology unity enmity confirms ways conceptualizi...

Various studies on the National Policy on Education (NPE) have concentrated on the cognitive value of pedagogy and learning of the language aspect but few have viewed its importance on the togetherness of the nation - Nigeria. This paper deals with how the language policy can influence and ensure the co-existence of Nigeria in achieving self-actualisation, national unity, social, cultural, econ...