This paper presents a comprehensive set of methods for estimating stem volume and carbon content in pine saplings using classical formulas by Guber and Newton-Rikh with the application of 132 models. As a result, multiple linear equations were developed to assess the volume of pine stemwood and carbon productivity in young stands on degraded lands of the Krasnoyarsk Basin. The obtained models demonstrate high statistical significance of coefficients and reliability, enabling their use for estimating timber and carbon stocks in forest plantations.
In this paper, an analytical method is proposed for solving the problem of magnetometer calibration for a model that takes into account the vector of temperature dependence of zero offsets for each of the measuring axes of the magnetometer unit and the matrix of linear temperature dependence of each of the members of the sensitivity matrix, scaling the signal based on the actual sensitivity of each axis and including linear off-axis effects. When solving the problem of determining the calibration parameters of the magnetometer unit, it is taken into account that for measurements with any spatial orientation of the magnetometer unit, the magnitude of the measured magnetic field strength vector is preserved and is a known model value. A penalty function of 24 variables equal to the sum of the squares of the residuals is introduced into consideration. The algorithm for solving the problem of calibrating the measuring axes of the magnetometer unit is reduced to searching by the method of least squares for such values of the variables of this function that, with a given set of vectors of magnetometer measurements, provide it with a minimum. For this purpose, the specified function is examined for an extremum. Based on the necessary condition for the extremum of the penalty function, a system of 24 equations in the 24 variables is formed, which, for convenience, is divided into three systems (each of them is a system of 8 linear algebraic equations in the 8 variables). It is proved that the main matrix of each of these three systems is an invertible, from which it follows that each of them has a solution, and only one. The components of the solutions of these systems (the coordinates of the stationary point of the penalty function) are found using Cramer's rule. It is proved that the second differential of the penalty function at the found stationary point is positive, from which it follows that this point really provides the minimum of the specified function.
Relevance. Ossifying fibroma is a benign fibro-osseous neoplasm most frequently diagnosed in young patients. Conventional surgical techniques such as curettage are associated with a high recurrence rate; therefore, segmental resection of the affected area with a safety margin beyond the tumor border is generally recommended. This approach, however, creates a mandibular continuity defect of variable extent, leading to loss of multiple teeth, facial asymmetry, and malocclusion. Restoring mandibular integrity and the dental arch is therefore a central treatment goal. Objective. To present a comprehensive rehabilitation protocol for a patient with juvenile ossifying fibroma (JOF) of the mandible. Case presentation. A 10-year-old girl presented with a progressive, painless enlargement of the left mandible. Cone-beam computed tomography (CBCT) and biopsy established the diagnosis of juvenile ossifying fibroma, trabecular variant, involving the left mandibular body with an approximate length of 6 cm. The lesion was treated by en bloc (segmental) resection with immediate reconstruction using a free vascularized iliac crest bone graft with microvascular anastomosis. Postoperatively, the patient exhibited distal occlusion (Class II malocclusion), loss of the mandibular segment in the region of teeth 33–38, and reduced interalveolar height on the left. Using a digital workflow, a surgical guide fabricated from domestically produced polymer materials was used for subsequent dental implant placement. Subsequently, orthodontic treatment was performed to restore interalveolar height at the mandibular defect, followed by placement of a temporary implant-supported prosthesis. Conclusion. A multidisciplinary approach to the rehabilitation of growing patients with JOF—including tumor removal by segmental mandibular resection with immediate reconstruction using an autogenous bone graft, placement of dental implants within the grafted area, and orthodontic management—has proven highly effective in restoring the anatomy and function of the dentoalveolar system in young patients.
The experience of using space technologies for the sustainable development of the transport infrastructure of the Arctic territories, based on the use of the Arctic hydrometeorological satellite constellation, is considered in the article. The results and features of the implementation of the Arctic hydrometeorological satellite constellation based on the Arktika-M spacecraft are presented. The conclusion was made that the use of space technologies provides a number of advantages in the organization of transport infrastructure in the Arctic region, which is characterized by extreme climate conditions.
The article presents the research results aimed at improving the information reliability of the hardware- software technology for industrial and environmental monitoring. The paper considers the software implementation of the methodology based on the segmentation of the functional versions and the decision-making algorithm for a heterogeneous/multilevel multiversion system for increasing the fault tolerance of software systems. The implementation's key element of the proposed methodology is the decision-making block realized by the elements of circuit logic.
