Development of an automated device for testing the external ground loop of power lines

The article refers to the need for periodic tests of grounding of power lines, in connection with which there is a need to develop domestic devices for conducting such tests, and a prototype of such a device has been developed

Classification of social and medical services to the population of the region

Taking into account the individual needs of recipients of social and medical services, they are provided with specific medical services in the form of inpatient, semi-stationary and in the form of social services at home. The article examines the classification of social and medical services in all forms of public service.

Geometry on plane and optimal linear prognosis

In the article we consider a new scalar production in the linear subspace of n vectors (by analogy with the geometry of Lobachevsky, all two vectors are orthogonal as projections of the third vector). With help of the production we obtain a new form of linear projection of the additional vector to the subspace. The rapid algorithm of finding of optimum linear estimation of additional vector on the known vectors ensues from the projection.