Mathematical Model of Polyharmonic Signal Processing to Study the State of the Tympanic Membrane

2016 ◽  
Author(s):  
Sergey P. Dragan ◽  
Alexey V. Bogomolov ◽  
Ekaterina A. Kondrat'eva
Keyword(s):  
Mathematical Model ◽  
Signal Processing ◽  
Tympanic Membrane ◽  
The State ◽  
Polyharmonic Signal

scholarly journals Modelling the impact of delaying vaccination against SARS-CoV-2 assuming unlimited vaccine supply

2021 ◽  
Vol 18 (1) ◽  
Author(s):  
Marcos Amaku ◽  
Dimas Tadeu Covas ◽  
Francisco Antonio Bezerra Coutinho ◽  
Raymundo Soares Azevedo ◽  
Eduardo Massad
Keyword(s):  
Mathematical Model ◽  
Vaccination Campaign ◽  
Vaccination Rate ◽  
Sao Paulo ◽  
The State ◽  
São Paulo ◽  
Health Authorities ◽  
The World ◽  
The Moment ◽  
The Impact

Abstract Background At the moment we have more than 177 million cases and 3.8 million deaths (as of June 2021) around the world and vaccination represents the only hope to control the pandemic. Imperfections in planning vaccine acquisition and difficulties in implementing distribution among the population, however, have hampered the control of the virus so far. Methods We propose a new mathematical model to estimate the impact of vaccination delay against the 2019 coronavirus disease (COVID-19) on the number of cases and deaths due to the disease in Brazil. We apply the model to Brazil as a whole and to the State of Sao Paulo, the most affected by COVID-19 in Brazil. We simulated the model for the populations of the State of Sao Paulo and Brazil as a whole, varying the scenarios related to vaccine efficacy and compliance from the populations. Results The model projects that, in the absence of vaccination, almost 170 thousand deaths and more than 350 thousand deaths will occur by the end of 2021 for Sao Paulo and Brazil, respectively. If in contrast, Sao Paulo and Brazil had enough vaccine supply and so started a vaccination campaign in January with the maximum vaccination rate, compliance and efficacy, they could have averted more than 112 thousand deaths and 127 thousand deaths, respectively. In addition, for each month of delay the number of deaths increases monotonically in a logarithmic fashion, for both the State of Sao Paulo and Brazil as a whole. Conclusions Our model shows that the current delay in the vaccination schedules that is observed in many countries has serious consequences in terms of mortality by the disease and should serve as an alert to health authorities to speed the process up such that the highest number of people to be immunized is reached in the shortest period of time.

Masking Models and Watermarking

2011 ◽  
pp. 93-116
Author(s):  
Mirko Luca Lobina ◽  
Luigi Atzori ◽  
Davide Mula
Keyword(s):  
Signal Processing ◽  
Intellectual Property ◽  
State Of The Art ◽  
The State ◽  
Audio Watermarking ◽  
Digital Right Management ◽  
The Future ◽  
Psychological Models ◽  
High Level ◽  
The Relationship

Many audio watermarking techniques presented in the last years make use of masking and psychological models derived from signal processing. Such a basic idea is winning because it guarantees a high level of robustness and bandwidth of the watermark as well as fidelity of the watermarked signal. This chapter first describes the relationship between digital right management, intellectual property, and use of watermarking techniques. Then, the crossing use of watermarking and masking models is detailed, providing schemes, examples, and references. Finally, the authors present two strategies that make use of a masking model, applied to a classic watermarking technique. The joint use of classic frameworks and masking models seems to be one of the trends for the future of research in watermarking. Several tests on the proposed strategies with the state of the art are also offered to give an idea of how to assess the effectiveness of a watermarking technique.

Mathematical model for predicting the state of health of transformers and service methodology for enhancing their life

2012 ◽  
Vol 43 (1) ◽  
pp. 1487-1494 ◽  
Author(s):  
Anjali Chatterjee ◽  
Partha Bhattacharjee ◽  
Nirmal Kumar Roy
Keyword(s):  
Mathematical Model ◽  
The State ◽  
State Of Health

ALGORITHMIC SUPPORT FOR SELECTING OPTIMAL TRAFFIC ROUTE OF MOTOR CONVOY OF RAPID REACTION BORDER COMMAND POST

2019 ◽  
pp. 25-35
Author(s):  
O. Borovyk ◽  
V. Kupelskiy
Keyword(s):  
Mathematical Model ◽  
Traffic Safety ◽  
The State ◽  
Optimal Route ◽  
The Road ◽  
Starting Point ◽  
Branching Points ◽  
The Matrix ◽  
The Status ◽  
Speed Function

The rapid response border commandant's office is a structural unit of the border detachment, designed to protect and strengthen the protection of a certain section of the state border, and must quickly redeploy its forces and assets. The success of the tasks assigned to the unit depends largely on the timeliness of arrival at the destination. Operational transportation of a significant amount of weapons, personnel and dissimilar cargoes on land is carried out using equipment. At the preparatory stage of the organization of transportation, the problem of forming the optimal composition of the convoy of equipment is solved. The existing road network provides a sufficiently large number of traffic routes between the starting and ending points. Moreover, this takes place even for insignificant distances between points of departure and destination. The specified conditions for multivariance in the selection. In addition, the choice of the route of movement depends on many auxiliary conditions: driver training, technical characteristics and reliability of vehicles, traffic safety, road and environmental conditions, distance and timing of transportation, and the like. Poor accounting of these factors in the aggregate may lead to the choice of an irrational route of movement, will not ensure the timely arrival of the unit at the destination, and may lead to the failure to fulfill certain tasks. Therefore, the task of choosing the optimal route of movement of the column of equipment is relevant. At the substantive level, the task looks like the justification of the mathematical model for choosing the optimal route for the column of equipment, if the criterion of optimality is minimizing the time it takes to move from the starting point to the destination. The authors formed a mathematical model of the given problem, proposed an algorithm for its solution for three cases: discrete-stochastic, discretely-determined and continuously-indefinite, and the corresponding software was developed. The choice of routes is carried out for three options, taking into account the fact that the change in the weights of the ribs can be carried out: at times when the column is at a certain vertex of the graph, and the update of the matrix of weights is carried out precisely at these moments. This is the case when a decision on the further route of movement is formed at the road branching points, taking into account the situation, the status of individual sections changes dynamically and data for which appears periodically; at times when the column is at a certain vertex of the graph, and for these moments, the matrix of weights that will occur when the column hits the vertex are known in advance. This is the case when a decision on the route of movement can be formed at the beginning of the movement, taking into account the known situation on the state of the roads, dynamically change, but data on which can be taken into account in advance; randomly depending on the speed of the column at a fixed point in time for which the column speed function is known.

POPILLIA JAPONICA (COLEOPTERA: SCARABAEIDAE): A MATHEMATICAL MODEL OF OVIPOSITION IN HETEROGENEOUS AGROECOSYSTEMS

1979 ◽  
Vol 111 (11) ◽  
pp. 1271-1280 ◽  
Author(s):  
Jacques Régnière ◽  
Robert L. Rabb ◽  
R. E. Stinner
Keyword(s):  
Mathematical Model ◽  
Pest Management ◽  
Field Data ◽  
Food Source ◽  
The State ◽  
Soil Conditions ◽  
Popillia Japonica ◽  
Japanese Beetle ◽  
Potential Applications

AbstractA mathematical model is developed which simulates the effect of the number of eggs in females, food source, and soil conditions, on ovogenesis and oviposition of Japanese beetle populations. The number of eggs in females is used as the state indicator, and simulated trends are compared to field data. Potential applications in pest management are discussed.

scholarly journals Ecological and economic management of innovation activity of enterprises

2020 ◽  
pp. 118-124
Author(s):  
A Dankevych ◽  
O Sosnovska ◽  
N Dobrianska ◽  
L Nikolenko ◽  
Yu Mazur ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Analytical Study ◽  
Systematic Approach ◽  
Management Strategies ◽  
The State ◽  
Information Support ◽  
Innovation Activity ◽  
Economic Management ◽  
Basic Algorithm ◽  
Qualitative Comparison

Purpose. To analyze the current state of innovation and environmental projects, to develop management strategies and algorithms for project environmental and economic management in subsoil use, to propose a mathematical model of the system of perception and support of solutions for effective environmental and economic management. Methodology. Different methods of cognition were used for scientific research both general and special. Analytical study on the state and realities of innovation in Ukraine in general and in particular in the mining industry, identification of trends in world practice were conducted based on using the methods of content analysis, quantitative and qualitative comparison. Methods of scientific abstraction and systematization were used to develop strategies and basic algorithm of project environmental and economic management in subsoil use. Mathematical methods were used to develop a mathematical model and coordinate it with the developed algorithm of project environmental and economic management for subsequent use in the system of perception and support of decisions. Findings. A systematic approach to the definition of management strategies and an algorithm of project environmental and economic management for the implementation of effective economic and environmental management of mining enterprises is proposed. A mathematical model designed for use in the system of perception and support of decisions for effective environmental and economic management has been developed. An analytical study on the state of innovation in Ukraine in general and in particular in the extractive industry has been conducted. This provided an opportunity to identify trends in the dynamics of change regarding the introduction of innovations and identify the causes of existing trends. Originality. The study identified threatening trends in the practice of introducing innovation. To solve production and scientific problems in the presence of significant challenges, new tools for finding optimal solutions in the environmental and economic management of subsoil use were proposed. Using a systematic approach, a mechanism for selecting strategies, an algorithm of project environmental and economic management and an original mathematical model have been proposed. Practical value. The results of the study can be used both to create new tools for information support of environmental and economic management, and by scientists and practitioners to develop effective solutions for the management and implementation of innovative projects in subsoil use.

scholarly journals Methodology for substantiating the choice of the optimal aerial and ground reconnaissance-strike complexes according to the integral criterion “efficiency-cost-time”

2021 ◽  
Vol 13 (S) ◽  
pp. 217-232
Author(s):  
Oleh SEMENENKO ◽  
Artem REMEZ ◽  
Valerii KLEPIKOV ◽  
Vasyl CHEREP ◽  
Konstantin KHARITONOV
Keyword(s):  
Mathematical Model ◽  
Current Issue ◽  
Armed Forces ◽  
The State ◽  
Integral Criterion ◽  
State Economy ◽  
Efficiency Cost ◽  
Development Plans ◽  
Reasonable Choice ◽  
Combat Readiness

In the modern realities of the development of the Armed Forces of Ukraine, the current issue is the search for ways to create new aerial and ground integrated reconnaissance-strike complexes that are capable of quick reconnaissance and attack of an enemy. However, a reasonable choice of such a system should not create an excessive burden for the state economy in terms of its development, maintenance, and application, and must also have the prospect of timely bringing it to combat readiness. Therefore, this study considers a methodology for substantiating the choice of an optimal option of the reconnaissance-strike complex or system for its use in operations when developing programmes and development plans of the AF of Ukraine. The proposed methodology has an integral criterion for choosing a rational option of a reconnaissance-strike complex, which combines indicators for assessing the efficiency of the combat use of these systems under various conditions, the sufficiency of the state economic capabilities for its creation, maintenance, and use, and assessing the timeliness of its creation and bringing it to combat readiness. The method is based on a mathematical model of game theory. The decision to choose a particular option of the reconnaissance-strike complex occurs in conditions of uncertainty of the combat situation and the volume of tasks that would rely on these systems when performing combat tasks.

scholarly journals Avaliação de modelos matemáticos para estimativa da erosividade da chuva na região de São Mateus-ES

2016 ◽  
Vol 11 (3) ◽  
pp. 98
Author(s):  
Dione Pereira Cardoso ◽  
Fábio Ribeiro Pires ◽  
Robson Bonomo
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Holy Spirit ◽  
Climatic Conditions ◽  
The State ◽  
Rainfall Erosivity ◽  
Climatological Station ◽  
Average Rainfall ◽  
The Holy Spirit ◽  
The Mathematical Model

<p>Objetivou-se estimar a erosividade da chuva, mediante seis modelos matemáticos, de regressão linear avaliando entre estes, qual é mais indicado para as condições climáticas da região de São Mateus-ES. Os dados pluviométricos foram obtidos junto à Agência Nacional das Águas-ANA, sendo de 1947 a 2014 para Itauninhas, de 1971 a 2014 para Barra Nova, de 1981 a 2014 para São João da Cachoeira Grande e de 1993 a 2014 para Boca da Vala. Para estimar a erosividade da chuva, a partir da precipitação anual e do coeficiente de chuva, foram utilizadas diferentes equações utilizadas em outros estados com aplicação ao estado do Espírito Santo ou ajustadas para o próprio estado. Para os modelos matemáticos (II) e (I), os valores médios foram de 6.541,2 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> a 936,357 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> (Itauninhas), de 6.995,855 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> a 1.420,296 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> (Barra Nova), de 6.297,272 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> a 1.014,815 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> (São João da Cachoeira Grande) e de 5.427,659 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> a 1.626,489 MJ ha<sup>-1</sup> mm h<sup>-1</sup> ano<sup>-1</sup> (Boca da Vala). Para os municípios de Barra Nova e Boca da Vala a erosividade da chuva foi estimada pela equação EI<sub>30</sub> = 6,4492*pi – 391,63 com distribuição leptocúrtica. Para as outras duas localidades, a distribuição foi platicúrtica. A estação climatológica com o maior valor de erosividade média da chuva foi Barra Nova, enquanto Boca da Vala apresentou a menor erosividade, considerando apenas a estimativa da erosividade da chuva pelo modelo matemático II. Os maiores e menores valores de erosividade da chuva foram obtidos com os modelos matemáticos I e II. Para estimar a erosividade da chuva, nas condições climáticos da região de São Mateus-ES, o modelo matemático mais adequado é o II.</p><p align="center"><strong><em>Evaluation of mathematical models to estimate rainfall erosivity in the region of São Mateus-ES</em></strong></p><p><strong>Abstract</strong><strong>: </strong>This study aimed to estimate the rainfall erosivity by six mathematical models, linear regression, and evaluate these, which is more suitable for the climatic conditions of São Mateus-ES region. The rainfall data were obtained from the National Water Agency-ANA, and 1947-2014 for Itauninhas, 1971-2014 to Barra Nova, 1981-2014 for São João da Cachoeira Grande and 1993-2014 for Boca da Vala. To estimate the rainfall erosivity, from the annual precipitation and rainfall coefficient were used different equations used in other states with application to the state of the Holy Spirit or adjusted to the state itself. For mathematical models (II) and (I), the average values were 6541.2 MJ ha<sup>-1</sup> mm h<sup>-1</sup> year<sup>-1</sup> to 936.357 MJ ha<sup>-1</sup> mm h<sup>-1</sup> year<sup>-1</sup> (Itauninhas) of 6995.855 MJ mm ha<sup>-1</sup> h<sup>-1</sup> year<sup>-1</sup> to 1420.296 MJ ha<sup>-1</sup> mm h<sup>-1</sup> year<sup>-1</sup> (Barra nova), to 6297.272 MJ ha<sup>-1</sup> mm h<sup>-1</sup> year<sup>-1</sup> and 1014.815 MJ mm ha<sup>-1</sup> h<sup>-1</sup> year<sup>-1</sup> (São João da Cachoeira Grande) and 5427.659 MJ ha<sup>-1</sup> mm h<sup>-1</sup> year<sup>-1</sup> to 1626.489 MJ ha<sup>-1</sup> mm h<sup>-1</sup> year<sup>-1</sup> (Boca da Vala). For the municipalities of Barra Nova and Boca da Vala the rainfall erosivity was estimated by EI<sub>30</sub> = 6.4492*pi - 391.63 with leptokurtic distribution. For the other two locations, the distribution was platykurtic. The climatological station with the highest amount of average rainfall erosivity was Barra Nova, while Boca da Vala had the lowest erosivity, considering only an estimated rainfall erosivity by the mathematical model II. The highest and lowest values erosivity of the rain were obtained with the mathematical models I and II. To estimate the rainfall erosivity in the climatic conditions of São Mateus-ES region, the most suitable mathematical model is II.</p>

scholarly journals Differential equations of the start of motion of elasticly coupled inert bodies on the example of a train with elastic couplings

2021 ◽  
pp. 45-51
Author(s):  
Igor Popov ◽  
Keyword(s):  
Mathematical Model ◽  
Differential Equations ◽  
Friction Force ◽  
Static Friction ◽  
The State ◽  
Structural Elements ◽  
Ground Vehicle ◽  
Inert Mass ◽  
The Moment ◽  
Elastic Couplings

The starting mode for a ground vehicle is the most difficult. An effective way to pull off a train is to select coupling clearances. In this case, the cars are set in motion consequently, and the inert mass, as well as the static friction force immediately at the moment of starting, are minimal. This method, however, has two significant drawbacks – a small fixed value of the gaps in the couplings, which limits the effectiveness of the method and the shock nature of the impulse transmission, which negatively affects the state of the structural elements of the train. These disadvantages can be avoided by using elastically deformable couplings. The aim of this work is to construct a mathematical model of "easy" starting of a train with elastic couplings. The softening of the starting mode of the train is essentially due to the replacement of the simultaneous starting of the sections with alternate ones.

Sign in / Sign up

Export Citation Format

Share Document