mathematical processing
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2022 ◽  
pp. 34-40
Author(s):  
A. V. Solomennikov ◽  
A. I. Tyukavin ◽  
N. A. Arseniev

The presented work reflects the author’s algorithm of mathematical processing and possible interpretations of the results obtained when creating expert analytical systems using computer technology. As initial parameters for the construction of neural networks of the second level, it is proposed to use individual results of calculations of the ratios of a number of laboratory indicators capable of forming a single functional cluster (leukogram, indicators of water-electrolyte balance, protein fractions, etc.). Further, using the proposed calculation algorithm and the archive database, structural features in the ′deformation′ of the ratio panel were compared against the background of the growth of each indicator, a matrix table was built reflecting the degree (correlation coefficients, KCr) of the coincidence of the features of the formation of the structure of the obtained panels of the parameters determined in individual observations. At high values of KCr, a conclusion is made about their (determined parameters) unified participation in the mechanism of emerging disorders. Thus, the system allows you to establish a leading complex of associated relationships by changes in the structure of ratios in the selected panel, corresponding to the dynamics of deviation of the target (analyzed) indicator, thereby differentiating the different mechanisms of formation of pathological deviations in this patient, the manifestation and balance of their values in the system-wide response, to evaluate the specific value of the absolute indicator as the final result of such interaction at the time of examination of the patient. The approach used, proposed by the authors, allows us to evaluate not only quantitative relationships, but also the features of the manifestation of the functional properties of the evaluated indicators. All of the above significantly expands the informativeness of the obtained laboratory data, allowing us to build a reasonable paradigm of the connections of the emerging complex of pathological disorders in each individual case. In the list of references, the authors cite publications as concrete examples of the use of the proposed approach in assessing a complex of disorders with different pathological processes using different panels in calculations.


2022 ◽  
Vol 12 (2) ◽  
pp. 580
Author(s):  
Boris A. Dzeboev ◽  
Anastasia A. Odintsova ◽  
Alena I. Rybkina ◽  
Boris V. Dzeranov

The introduction of modern methods for the mathematical processing of geological data is one of the promising areas of study and development in the field of geosciences. For example, today mathematical geology makes it possible to reliably identify astronomical cycles by measuring the scalar magnetic parameters of rocks (magnetic susceptibility). The main aim of this study is to develop a mathematical tool for identifying stable oscillation cycles (periods) in the dataset of the magnetic susceptibility of rocks in a geological section. The author’s method (algorithm) is based on the concept of discrete mathematical analysis—an innovative mathematical approach to the analysis of discrete geological and geophysical data. Its reliability is also demonstrated, by comparison with the results obtained by classical methods: Fourier analysis, Lomb periodogram, and REDFIT. The proposed algorithm was applied by the authors to analyze the material of field geological studies of the Zhelezny Rog section (Taman Peninsula). As a result, stable cycles were determined for the Pontian and Lower Maeotian sedimentary strata of the Black Sea Basin (Paratethys).


Micromachines ◽  
2021 ◽  
Vol 13 (1) ◽  
pp. 29
Author(s):  
Gheorghe Nagîț ◽  
Laurențiu Slătineanu ◽  
Oana Dodun ◽  
Andrei Marius Mihalache ◽  
Marius Ionuț Rîpanu ◽  
...  

Different processing methods can change the physical–mechanical properties and the microgeometry of the surfaces made by such processes. In turn, such microchanges may affect the tribological characteristics of the surface layer. The purpose of this research was to study the tribological behavior of a test piece surfaces analyzing the changes on the values of the coefficient of friction and loss of mass that appear in time. The surfaces subjected to experimental research were previously obtained by turning, grinding, ball burnishing, and vibroburnishing. The experimental research was performed using a device adaptable to a universal lathe. Mathematical processing of the experimental results led to the establishment of power-type function empirical models that highlight the intensity of the influence exerted by the pressure and duration of the test on the values of the output parameters. It was found that the best results were obtained in the case of applying ball vibroburnishing as the final process.


2021 ◽  
Vol 6 (6) ◽  
pp. 326-330
Author(s):  
O. S. Slavityak ◽  
◽  
N. V. Kovaleva ◽  
A. Yu. Bychkov ◽  
M. G. Semerzhyan ◽  
...  

The purpose of the study was a comparative analysis of training programs in bodybuilding and an assessment of their influence on the frequency of traumatization of the musculoskeletal system of athletes. Materials and methods. Theoretical analysis of scientific and methodological literature was conducted. For a practical assessment of the primary data on the types of injuries, a survey of medical staff was conducted. We analyzed 54 journals with records of athletes' appeals to medical personnel. Mathematical processing of research results was carried out using the software packages IBM SPSS Statistics 2.0. The study, which was conducted during 4 months – from March to the end of June 2021, involved 60 bodybuilders aged 18-19 years old. Three research groups of 20 athletes each were formed. They were divided according to age, qualifications and anthropometric characteristics. The created groups did not have significant differences in these characteristics; the intergroup difference applied only to the proposed training programs. Results and discussion. In the course of the study, it was found that among the athletes of the control group who used the generally accepted program of training sessions with a certain sequence of using exercises of a basic and formative nature, the number of calls with certain pain sensations during four mesocycles of training decreased by 30.7% (p <0.05) compared to a similar period before the start of the study. At the same time, the results obtained show that among the athletes of the first main group, who used the combined program of training sessions in bodybuilding during the study, the controlled indicator of the number of calls decreased significantly – by 33.4% (p <0.05). Conclusion. In the process of studying the peculiarities of the influence of various programs of training sessions on the dynamics of morpho-functional indicators of the athletes’ organisms during four mesocycles of training sessions, a certain regularity was established regarding the ratio of the manifestations of types of injuries when performing strength exercises, depending on the sequence of their use. In the process of applying the methodical procedure "premature fatigue" on the dynamics of morphometric indicators of body weight of athletes it is shown that it is the third version of the program that contributes to a significant decrease in the number of calls (by 75%, p <0.05), compared with the results obtained over the period of the previous four mesocycles of intensive bodybuilding at the stage of specialized basic training of athletes


2021 ◽  
Vol 67 ◽  
pp. 89-97
Author(s):  
A. I. Lokhova ◽  
O. E. Merezhko

The article presents data on the study of the effect of foliar treatment with the mineral fertilizer «Idrofloral brand 14-11-22+8CaO» and the growth regulator «Stimoros» on the biometric parameters of pear seedlings with a closed root system in protected soil conditions. The research was conducted in 2018-2020 in the Orenburg branch of the Federal Horticultural Research Center for Breeding, Agrotechnology and Nursery. The objects of research were pear varieties of the summer ripening period Lada and Chizhovskaya. The seedlings were obtained by winter inoculation in the third decade of December. The drugs were used three times: 1st processing in the phase of the 5th present sheet, then 2 times with an interval of 10 days. The studied concentrations of non-root top dressing were determined according to the instructions for them. Biometric observations of seedlings were carried out according to the following parameters: seedling height (cm), number (pcs.) and leaf area (cm2 ). Mathematical processing of experimental data was carried out using the dispersion analysis according to B. A. Dospekhov. As a result of the conducted studies, the positive effect of these drugs on the growth and development of pear plants, different depending on the variety, was revealed. The greatest effectiveness on the Chizhovskaya variety was shown by the use of the mineral fertilizer «Idrofloral brand 14-11-22+8CaO» with a rate of application of 3.75 g/l, which contributed to an increase in the length of vegetative growth by an average of 45.6 %, the number of leaves — by 33.7 %, the foliage of seedlings-by 40.0 % compared to the control, thereby having a positive effect on the processes of formation and development of the leaf apparatus. In the Lada variety, the best results were noted when using the drug «Stimoros» at a dosage of 0.94 ml/l: the growth parameters of seedlings increased by 18.4 %, the number of leaves — by 12.1 %.


Author(s):  
A. V. Krokhalev ◽  
V. O. Kharlamov ◽  
D. R. Chernikov ◽  
O. O. Tuzhikov ◽  
S. V. Kuz’min ◽  
...  

The kinetics of the processes of primary hydrogenation of material based on TiFe obtained by explosive pressing of titanium and iron powders with subsequent heat treatment has been investigated. Using the results obtained and mathematical processing of the curves using the Avraami-Erofeev equation, it was revealed that the mechanism of their saturation with hydrogen corresponds to the classical concepts of reaction diffusion. The process begins with the formation of a layer of solid solutions of hydrogen on the surface of the material in the initial phases of the material and after the latent period continues with the formation of a layer of hydride phases. t is shown that the hydrogen storage material TiFe + TiFe has a significantly higher hydrogen capacity than single-phase TiFe.


2021 ◽  
pp. 93-112
Author(s):  
Irina Vladimirovna Lapshina ◽  
Sergei Viktorovich Istomin

The study presents the result of a pedagogical experiment conducted on the basis of a school and the analysis of empirical data obtained during its implementation. During the pedagogical experiment, the testing method was used – this is a psychological verbal-communicative method in which a specially designed list of questions test is used as a means to collect information from the respondent. The paper presents the result of mathematical processing of empirical data obtained during the pedagogical experiment using the Mann-Whitney U-test. Separately, it is noted that the relevance of information socialization of youth is determined by the complexity of the modern Russian social situation.


Mathematics ◽  
2021 ◽  
Vol 9 (23) ◽  
pp. 3055
Author(s):  
Aleksey I. Shinkevich ◽  
Irina G. Ershova ◽  
Farida F. Galimulina ◽  
Alla A. Yarlychenko

Globally, assessing sustainable development methodology is kept in sustainable society index (SSI) format, but at the level of meso- and microsystems it remains undeveloped. The aim of the study is to typologize innovative mesosystems in Russian industry in the context of sustainable development based on the CART algorithm and to develop an algorithm for identifying priority areas of sustainable development. The research methods applied included formalization, a systematic approach, and the CART algorithm (calculation of the Gini index, training sample segmentation, the use of a recursive function and regression assessment). As a result of the study, the algorithm for the differentiated identification of innovative mesosystems sustainable development priority directions in industry based on the unique author’s methodology (ISDI) is proposed. The predominance of mesosystems with weak level of sustainable development requiring state support in favor of such mesosystems restructure is revealed. The novelty of the research lies in the development of new science-based solutions to ensure an accelerated transition of industry to the path of sustainable development. The difference of the author’s approach from the provisions known in science is the inclusion of environmental innovations in the mechanism for managing the sustainable development of innovative mesosystems and subsequent accounting in the process of mathematical processing of an array of data, which determines the uniqueness of the constructed decision trees.


2021 ◽  
Vol 88 (6) ◽  
pp. 907-913
Author(s):  
G. N. Konygin ◽  
O. M. Nemtsova

An algorithm for mathematical processing of the Mössbauer spectra of supersaturated disordered solid solutions by the Tikhonov regularization method using a double convolution of the Lorentz function and two Gaussians is proposed. By the examples of spectra of supersaturated disordered solid solutions Fe100–xGex (x = 10—25 at.%) and Fe75Si15Al10, it is shown that the algorithm allows more correct processing, which provides a reliable distribution function of the hyperfine magnetic field. It is shown that to take into account the statistical ensemble of nonequivalent local atomic configurations of Fe atoms in disordered supersaturated solid solutions, it is necessary to use not only the convolution of two Gaussian functions, but also the projection scaling factor of the hyperfine magnetic field onto the velocity scale.


Author(s):  
Д.В. Журавлёв ◽  
А.А. Проводников

Проведена апробация изготовленного по материалам открытого проекта шестнадцатиканального мобильного комплекса регистрации электроэнцефалограммы (ЭЭГ). Аппаратно-программный комплекс регистрации ЭЭГ позволяет проводить регистрацию неинвазивным способом 16-ти монополярных ЭЭГ каналов, содержащих биоэлектрические сигналы головного мозга человека. Все составные элементы комплекса регистрации конструктивно расположены на шлеме-основе из твердого пластика. Шлем надевается на голову и удерживает на себе до 32-х вкручивающихся штырьковых электродов, платы электронного устройства регистрации и обработки сигналов, радиопередатчики, аккумуляторные батареи. Регистрируемые сигналы ЭЭГ в режиме реального времени передаются по радиоканалу (стандарт Wi-Fi) на ЭВМ для последующей обработки. Сигналы ЭЭГ, полученные в ЭВМ, подаются в пакет прикладных программ MATLAB для последующей обработки. Сигналы ЭЭГ в ЭВМ формируются в виде стандартных цифровых отсчетов и, соответственно, могут быть переданы в любую программу обработки данных. Сигналы ЭЭГ должны быть подвергнуты математической обработке для выявления определенных состояний головного мозга и формирования паттернов ЭЭГ, служащих ориентирами при подготовке управляющих сигналов на внешние исполнительные устройства. При математической обработке полученных сигналов был проведен анализ частотного состава ЭЭГ, проведены специальные преобразования сигналов и вспомогательные операции для идентификации необходимых паттернов ЭЭГ сигналов. В первую очередь была проведена фильтрация полученных сигналов полосовым фильтром и алгебраической функцией вейвлета Добеши 8-го уровня. Затем были собраны контрольные образцы мозговой деятельности при выполнении трех типов активностей. Обнаружена корреляция между экспериментами и контрольными образцами. Сделанные наработки могут быть использованы для упрощения установки входных параметров искусственных нейронных сетей, применяемых для обработки и анализа сигналов ЭЭГ We carried out the approbation of a sixteen-channel mobile EEG registration complex made based on the materials of an open project. The hardware and software complex for EEG registration allows for non-invasive registration of 16 monopolar EEG channels containing bioelectric signals of the human brain. All the components of the registration complex are structurally located on a helmet-based made of hard plastic. The helmet is put on the head and holds up to 32 screw-in pin electrodes, boards of an electronic device for recording and processing signals, radio transmitters, and batteries. The recorded EEG signals are transmitted in real time via a radio channel (Wi-Fi standard) on a computer for subsequent processing. The EEG signals received in the computer are fed into the MATLAB application software package for subsequent processing. The EEG signals in the computer are formed in the form of standard digital samples and, accordingly, can be transmitted to any data processing program. EEG signals should be subjected to mathematical processing to identify certain states of the brain and form EEG patterns that serve as guidelines for the preparation of control signals to external actuators. During the mathematical processing of the received signals, we analyzed the frequency composition of the EEG, special signal transformations and performed auxiliary operations to identify the necessary EEG signal patterns. First of all, we filtered the received signals by a bandpass filter and an algebraic function of the Daubechy wavelet of the 8th level. Then, we collected control samples of brain activity when performing three types of activities. We found a correlation between the experiments and the control samples. It can be developed to be used to simplify the installation of input parameters of artificial neural networks used for processing and analyzing EEG signals


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