Symmetric interpolatory dual wavelet frames

For any symmetry group $H$ and any appropriate matrix dilation we give an explicit method for the construction of $H$-symmetric refinable interpolatory refinable masks which satisfy sum rule of arbitrary order $n$. For each such mask we give an explicit technique for the construction of dual wavelet frames such that the corresponding wavelet masks are mutually symmetric and have the vanishing moments up to the order n. For an abelian symmetry group $H$ we modify the technique such that each constructed wavelet mask is $H$-symmetric.Comment: 22 page

Concepts and criteria for assessing the technological independence and security of critical information infrastructure facilities

The article presents an analysis of the concepts and terms used in the Decree of the President of the Russian Federation No. 166 dated 30.03.2022 "On measures to ensure the technological independence and security of the critical information infrastructure of the Russian Federation". Differences in the concepts of technological sovereignty and security of infrastructure facilities are identified, as well as differences between the criteria for assessing the trust of software and hardware complexes and the criteria of Russian origin. Clarifications of the regulatory framework are proposed, which will eliminate discrepancies in concepts and contradictions in requirements

The Organization of the Internal Irradiation Monitoring System in Conditions of Nonstandard Radionuclide Intakes

Scientific knowledge presently available in the area of monitoring the internal radiation due to nonstandard radionuclide intakes gives no way of identifying the location and nature of intakes in a reasonably accurate and expeditious manner. Both theoretical models and practical methods of personnel internal radiation screening exhibit the lack of research. To this end, the present paper deals with the experience gained by the SGChE in the monitoring of the nonstandard radionuclide penetration into internals and tissues of the personnel. It provides recommendations for the organization and implementation of such monitoring procedures, and describes the practical method for the vulnerary intake containment

COMPARATIVE ANALYSIS OF RADIOLOGIC ASPECTS OF FACET JOINTS IN SURGICAL TREATMENT OF PATIENTS WITH DEGENERATIVE DISEASES OF THE LUMBAR SPINE

Objective To study the radiologic characteristics of facet joints at different stages of the degenerative process in the lumbar spine to determine the indications for various methods of fixing the affected segment and to evaluate the results of treatment.Material and Methods To determine the radiologic aspects of facet joints in the affected area and in  adjacent segments of the lumbar spine, two groups were formed, including 136 patients who underwent multispiral computed tomography in two-energy mode before surgery and 12 months after surgery. Group I included patients who underwent rigid fixation of the spine (360°), and group II included patients who underwent dynamic fixation using nitinol rods (180°).Results Based on a comprehensive instrumental study, it was found that the degeneration of the intervertebral disc according to Pfirrmann II and III revealed an increase in the density of the cartilaginous plate in facet joints (HU). These digital indicators confirm the preservation of joint functionality, both in the affected area and in adjacent segments. With severe degrees of disk degeneration in Pfirrmann IV and V and facet joints, deep pathological changes occurred, directed towards the loss of facet joints functionality.Conclusion The obtained digital indicators of dual-energy computed tomography for the state of facet joints  in combination with the results of magnetic resonance imaging can be used as criteria in a complex of patient studies to assess the degree of degeneration of the vertebral motion segment in the affected area and adjacent segments. We recommend using these criteria as a diagnostic component for finding optimal methods of surgical treatment