2011 Issue №10

The concept of the generalized arithmetical progression of the power k  and difference d is given. For k  1,7 formulas of nth member of such progressions and for k  1, 2, 3 formulas for the sum of the first n its members are obtained. Progressions ( ) , k p d M with the first member prime number p and difference being a positive even number d  2m (m  ) are considered. Such progressions define subsets ( )
, , k h p d M of h prime numbers (h  ). For k  20, p  95467, d  108 all subsets (1) h,p,d M with h  15 prime numbers are obtained. Some properties that connect the power k of generalized arithmetical progression and its difference d for 2  k  60, p  1014, h  5 are established.

The short outline of the establishment and development of the graphs’ theory and the general theory of systems is stated. It was shown that graphs are the natural and structural models of systems.

Authors offer technology of virtual devices as a resource for development of a physical practical work.

Results of researches of influence of various forms of cores of external sources of magnetising force of magnetic systems of electric propulsion on azimuthal evenness of magnetic field distribution in an operating interpolar interval are presented.

Availability of information resources and client-side performance issues are reviewed. There is a generic approach to resolve website availability issues related to client side.

The frequency of usage of different instructions and address modes in software for Intel architecture is examined.