The state of balanced development the tourism industry potential in Dnipropetrovsk and Zaporizhzhia regions, latest publications scientists specialists concerning this problem are investigated; social subsystem Zaporizhia regions for identification balance impact indicators on country’s such as dynamics labor market Ukraine, (employment rate; unemployment average number full-time employees; lev...

Universities have a magnificent role in the sustainable development of their country and international scientific production of their country. Purpose of this paper is expansion of using balance scorecard in universities In order to improve performance of universities in learning and educating. The Balanced Scorecard (BSC) is an extensively adopted performance management framework in a lot of o...

A balanced pair in an ordered set P = (V,6) is a pair (x, y) of elements of V such that the proportion of linear extensions of P that put x before y is in the real interval [1/3, 2/3]. We prove that every finite N -free ordered set which is not totally ordered has a balanced pair.

Let B and R be point sets (of blue and red points, respectively) in the plane, such that P := B ∪R is in general position, and |P | is even. A line l is balanced if it spans one blue and one red point, and on each open halfplane of l, the number of blue points minus the number of red points is the same. We prove that P has at least min{|B|, |R|} balanced lines. This refines a result by Pach and...