Scientific Views of Ways to Improve Dental Care for Children in Primary Health Care (Review Literature)

Consider the health care system of Uzbekistan from the point of view of the development of innovative transformations in it, which relate to all areas of activity and are able to raise it to a new level of development. The innovative potential of an organization is its ability to fulfill an innovative goal, that is, a measure of readiness to implement a program (project) of innovative strategic changes. An audit of the innovative potential of a medical organization is a prerequisite for the formation of a competent economic policy, i.e., a strategy for economic activity, priority investments. The special nature of innovations in medicine should be noted: on the one hand, they help to increase the competitiveness of the industry, on the other hand, to preserve the human (including able-bodied) potential of the population of the region, which is especially important in the context of a reduction in its share in the short term. At the level of the region's economy, innovations in medicine contribute to strengthening socio-demographic and economic security

Heat equation for Sturm-Liouville operator with singular propagation and potential

This article considers the initial boundary value problem for the heat equation with the time-dependent Sturm-Liouville operator with singular potentials. To obtain a solution by the method of separation of variables, the problem is reduced to the problem of eigenvalues of the Sturm-Liouville operator. Further on, the solution to the initial boundary value problem is constructed in the form of a Fourier series expansion. A heterogeneous case is also considered. Finally, we establish the well-posedness of the equation in the case when the potential and initial data are distributions, also for singular time-dependent coefficients.Comment: 24 pages. arXiv admin note: text overlap with arXiv:2209.08278, arXiv:2210.0278

Remote Sensing using Signals of Opportunity

Today, there are more than eight thousand satellites in space. Therefore, Radio Frequency (RF) signals broadcast from satellites can be accessed from almost every point on the earth. There will be number of satellites available at most points on earth with different frequency bands. These satellite signals can be used for remote sensing, therefore software that visualizes footprints of satellites and shows characteristics of every satellite available at any point would be useful in determining which signals are available for reflectometry, method where direct satellite signals and reflected satellite signals are received and compared for analysis of certain area. There is a need for a tool which can tell what satellites are available in a given area. International Telecommunication Union (ITU) has database with all the information about satellites which they store in DVDs and partially can be accessed online. Using the ITU database it is possible to create a program with C++ and MATLAB which perform these functions. DVD contains thousands of contours of satellite footprints stored as a binary; therefore, to extract them for formatting the data from that database into a graphical plot needs to be done through C++. In summary, software that can display the information of satellites at any given point is needed in remote sensing

Wave equation for Sturm-Liouville operator with singular potentials

The paper is denoted to the initial-boundary value problem for the wave equation with the Sturm-Liouville operator with irregular (distributive) potentials. To obtain a solution to the equation, the separation method and asymptotics of the eigenvalues and eigenfunctions of the Sturm-Liouville operator are used. Homogeneous and inhomogeneous cases of the equation are considered. Next, existence, uniqueness, and consistency theorems for a very weak solution of the wave equation with singular coefficients are proved.Comment: 25 page

A note on the degree structure of primitive recursive m-reducibility

Let $C^{pr}_m$ be the upper semilattice of degrees of computable sets with respect to primitive recursive $m$-reducibility. We prove that the first-order theory of $C^{pr}_m$ is hereditarily undecidable.Comment: 13 page