where T1, . . . , Tn, S1, . . . , Sn : [a, b] → R. (2) Suppose K 6= 0. Then we may consider each of the systems {T1, . . . , Tn}, {S1, . . . , Sn} linearly independent. Indeed, starting from an expression of kind (1), we consequently reduce the number of items while it is needed. Assume that we need to express the functions (2) in terms of K. In order to do it, we find such points (a proof of e...

The aim of this paper is to highlight the issue of managerial competencies and competency model in industrial enterprises. This paper builds upon the theory of knowledge processing and its role as a theoretical basis for knowledge development in the area of managerial competencies. Managerial competencies are becoming one of the key building blocks of success in a company to achieve both the mi...

In one stream of development, one partner in the project had just achieved an interpretation of group cohomology or Lie-algebra cohomology in terms of higher-dimensional central extensions, as developed by Rodelo–Van der Linden [14, 15]. It extends the classical interpretation of the second group cohomology in terms of equivalence classes of short exact sequences with central kernel. This devel...

We give a rigorous proof of existence for solitary waves of a peridynamics model in one space dimension recently investigated by Silling (J. Mech. Phys. Solids 96:121–132, 2016). We adapt the variational framework developed by Friesecke and Wattis (Comm. Math Phys. 161:391–418, 1994) for the FermiPasta-Ulam-Tsingou lattice equations to treat a truncated problem which cuts off short-range intera...