SOFT MEASUREMENTS IN THE MACROECONOMIC EVENTS RECONSTRUCTION

2020 ◽  
Vol 1 (12) ◽  
pp. 63-71
Author(s):  
G. A. Shcherbakov ◽  
Keyword(s):  
Mathematical Method ◽  
Qualitative Information ◽  
Economic Crises ◽  
Mathematical Methods ◽  
Historical Process ◽  
Traditional Mathematics

In the context of the limitations of traditional mathematical methods in the study of nonstationary economic objects, which in their dynamics constantly experience external disturbing influences, it becomes very important to search for methods that can compensate for this lack of traditional mathematics. In this regard, the potential of soft mathematical measurements that can take into account both quantitative and qualitative information about the object during the study is of particular importance. The description of the results of economic and mathematical verification of the hypothesis of the existence of complex and nonstandard economic phenomena in the historical process – systemic economic crises – is a clear illustration of the effectiveness of the new economic and mathematical method.

Mathematical Method to Unfolding Couplings

2019 ◽  
Vol 17 (17) ◽  
pp. 63-64
Author(s):  
Carmen Popa ◽  
Ivona Petre ◽  
Ruxandra-Elena Bratu
Keyword(s):  
Mathematical Method ◽  
Mathematical Methods ◽  
Intersection Curves ◽  
Four Cylinders

AbstractThe purpose of this paper is to establish the intersection curves between cylinders, using Mathematica program. The equations curves which are inferred by mathematical methods are introduced in this program. This paper takes into discussion the case of four cylinders.

scholarly journals Development of quality functionals of kinetic processes for the synthesis of composite materials with specified parameters of structure and properties

2020 ◽  
Vol 224 ◽  
pp. 02019
Author(s):  
A Bormotov
Keyword(s):  
Mathematical Method ◽  
Composite Materials ◽  
Polymer Composites ◽  
Structure Formation ◽  
High Viscosity ◽  
Transient Processes ◽  
Structure And Properties ◽  
Mathematical Methods ◽  
Kinetic Processes ◽  
Necessary And Sufficient

The processes of structure formation and features of polymer composites with special properties are investigated, the main kinetic processes that have a decisive influence on the structure formation and properties of polymer composites are identified. The expediency of considering kinetic (transient) processes as a necessary and sufficient sign of the structure formation of a thermosetting is substantiated. A mathematical method for the synthesis of polymer composite materials of increased density using the quality functionals of kinetic (transient) processes is proposed. The proposed mathematical methods and models allow to effectively solve the problem of plasticization and modification of high-viscosity polymers, as well as to carry out multi-criteria synthesis of composite materials with strictly specified parameters of structure and properties using the quality functionals of kinetic (transient) processes.

scholarly journals Persistent homology: a tool to universally measure plant morphologies across organs and scales

2017 ◽  
Author(s):  
Mao Li ◽  
Margaret H. Frank ◽  
Viktoriya Coneva ◽  
Washington Mio ◽  
Christopher N. Topp ◽  
...  
Keyword(s):  
Mathematical Method ◽  
Root Architecture ◽  
Natural Variation ◽  
Persistent Homology ◽  
Plant Morphology ◽  
Introgression Line ◽  
Mathematical Methods ◽  
Solanum Pennellii ◽  
Genetic Contributions ◽  
Robust To Noise

AbstractGenetic contributions to plant morphology are not partitioned between shoots and roots. Yet, shoot and root architectures are rarely measured in the same plants. Even if shoot and root architectures are both studied, the application of mathematical methods flexible enough to accommodate the disparate topologies and shapes within a plant, and across scales, are lacking. Here, we advocate the use of persistent homology, a mathematical method robust to noise, invariant with respect to orientation, capable of application across diverse scales, and importantly, compatible with diverse functions to quantify disparate plant morphologies, architectures, and textures. To demonstrate the usefulness of this method, we apply persistent homology approaches to the shape of leaves, serrations, and root architecture as measured in the same plants of a domesticated tomato Solanum pennellii near-isogenic introgression line population under field conditions. We find that genetic contributions to morphology affect the plant in a concerted fashion, affecting both the shoot and root, revealing a pleiotropic basis to natural variation in tomato.

A Method for the Approximate Calculation of the Progress of Introduced Parasites of Insect Pests

1927 ◽  
Vol 17 (3) ◽  
pp. 273-277 ◽  
Author(s):  
W. R. Thompson
Keyword(s):  
Mathematical Method ◽  
Approximate Calculation ◽  
Insect Pests ◽  
Quantitative Aspect ◽  
Mathematical Methods

In a series of notes and papers published in the last few years, the writer has attempted to apply simple mathematical methods to the study of the numerical increase of entomophagous parasites at the expense of their hosts. This work was undertaken mainly in the hope of bringing to light the general laws underlying parasitic interrelations, considered simply in their quantitative aspect. But since the publication of these papers the writer has frequently been questioned by entomologists as to the utility of the mathematical method in parasitological operations of the practical order.

MATHEMATICAL METHODS AS COGNITIVE PROBLEM‐SOLVERS

Kybernetes ◽  
1980 ◽  
Vol 9 (3) ◽  
pp. 197-205 ◽  
Author(s):  
M.K. CHYTIL
Keyword(s):  
Artificial Intelligence ◽  
Mathematical Method ◽  
Intelligent Agents ◽  
Problem Solver ◽  
Mathematical Methods ◽  
Cognitive Problem ◽  
Problem Solvers ◽  
Cognitive Problems ◽  
The Given ◽  
Initial Knowledge

The applications of mathematics to the solving of factual problems should run in a certain prescribed form called a mathematical method. Whereas a mathematical method is an only scheme that is a set of mathematical means, rules, hints, procedures, etc. how to solve a factual problem on some body of data, it becomes a Cognitive Problem‐Solver after its implementation on an appropriate computer which is able to solve, if need be, by the help of man, a class of special cognitive problems corresponding to the method arising out of their background and initial knowledge. Computer and man can act here in a symbiotic manner as intelligent agents, realizing each alternately the sequence of conceptual operations prescribed by the given method. The incidental difference between the routine and creative actions of the single agents is discussed, as well as the advantages of natural and artificial intelligence in automatic problem‐solving and automatic cognition.

DAVID CRIGHTON 1942–2000

2001 ◽  
Vol 437 ◽  
pp. 1-11 ◽  
Author(s):  
JOHN E. FFOWCS WILLIAMS
Keyword(s):  
Mathematical Method ◽  
Practical Importance ◽  
Wave Theory ◽  
Professional Life ◽  
Mathematical Methods ◽  
Technical Developments ◽  
Full Power ◽  
The Subject ◽  
Looking Back ◽  
The Way

David Crighton was struck down by cancer in his fifty-eighth year. He was then at the height of his career and was one of the most admired personalities in fluid mechanics. He had specialized in wave theory, helping to understand and solve problems of practical importance using the full power of mathematical method. Efforts to control the sound and vibration caused by unsteady flow were never far from his thinking, and Crighton's contribution to those efforts has changed significantly the way the subject is viewed. Having first attracted him into the field and never losing my interest in the way he was influencing it, it is natural that I should comment on the technical developments while looking back on Crighton's professional life. The subject has changed a great deal and there are now many more researchers involved in its study, many of whom rely on techniques that Crighton pioneered – really powerful mathematical methods. But the basic problems remain: powerful flows are noisy.

scholarly journals MATHEMATICAL METHODS OF SEARCH FOR DIAMOND-BEARING AREAS AND KIMBERLITE FIELDS IN CLOSED TERRITORIES

2018 ◽  
pp. 49-51
Author(s):  
Sh. K. Magazov
Keyword(s):  
Mathematical Method ◽  
Mathematical Methods ◽  
The World

Based on the analysis of the interrelationships between real kimberlite fields and the location of kimberlite tubes of the world, a structural and mathematical method for the search for diamond-bearing regions and kimberlite fields is proposed. The purpose of this method is to localize the use of geological and geophysical works on mathematically correct areas, which can significantly reduce the time and cost of discovering indigenous diamond sources. It can be used in carrying out the projected regional works on the roots of diamonds.

scholarly journals Tingkat Hen Day Production (HDP) dan Break Event Point (BEP) Usaha Ayam Ras Petelur (Gallus sp)

2018 ◽  
Vol 3 (2) ◽  
pp. 64
Author(s):  
Dewi Hastuti ◽  
Rossi Prabowo ◽  
Ahmad Anwar Syihabudin
Keyword(s):  
Mathematical Method ◽  
Data Collection ◽  
Egg Production ◽  
Laying Hens ◽  
Descriptive Analysis ◽  
Secondary Data ◽  
Production Level ◽  
Analysis Model ◽  
Mathematical Methods ◽  
Maintenance System

This study aims to determine the daily egg production level (HDP) and Break Event Point (BEP). The research location and respondents were determined intentionally (purposive sampling) with a total of 4 farmers consisting of 1,000 tail respondents, 1,350 heads, 4,500 heads and 6,000 heads. The data used are primary and secondary data. Data collection techniques are carried out by interviewing, recording and observing. The analysis model used is a descriptive analysis model with verbal and mathematical methods. The verbal method is a way of using words to explain a thing, while a mathematical method uses break event point (BEP) analysis. Based on the results of the study it was found that the production level of 51-day Hen Day production (HDP) of laying hens aged 85 weeks between 85.1% -85.3% . Break Event Point (BEP) production obtained from a scale of 1,000 head was 30,379.5 kg, 1,350 tails of 36,282.5 kg, 4,500 tails of 124,180 kg, and 6,000 tails of 159,231.5 kg. Break Event Point (BEP) prices on a 1,000-tail scale of Rp. 16,893, 1,350 scale of Rp. 14,965, a 4,500 scale of Rp. 15,349 and the scale of 6,000 is Rp. 14,698. The conclusion of this study is that the HDP level is still below standard because the maintenance system for laying hens has not been maximized while the yield of the product and the rupiah is above the BEP value so that the laying hens business produces profits

scholarly journals Mathematical and cartographic methods of atmospheric processes’ analysis

2018 ◽  
Keyword(s):  
Mathematical Method ◽  
Functional Dependence ◽  
Temporal Structure ◽  
Mathematical Statistics ◽  
Economic Damage ◽  
Agricultural Crops ◽  
Natural Phenomena ◽  
Mathematical Methods ◽  
Atmospheric Processes ◽  
Quantitative Characteristics

Formulation of the problem. The urgency of the problem posed is the need to take into account the degree of intensity and quantitative study of dangerous atmospheric processes that cover large areas and cause significant economic damage to agriculture. When solving these questions it is necessary to have an objective estimation of different factors impact including weather and climate on the level of agricultural production. This will allow to assess various indicators of agro-meteorological conditions more reasonably in the estimation of the cereal harvest. Analysis of recent research and publications. The study of atmospheric processes and their effect on agricultural crops are devoted to in the works of V.V. Dokuchaev, P.I. Brоunоv, P.І. Kоlоskоv, G.Т. Sеlyaninov А.M. Аlpаtev S.А. Sаpоzhnikоvа, I.E. Buchinsky, N.B. Bova, V.A. Volevaha, V. Romushevich, Yu.І. Chirkоv, М.І. Budykо, А.R. Коnstаntіnоv, G.P. Dubinskiy. Formation of the purpose of the article. The article considers the questions of scientific research application and cartographical and mathematical methods. The following tasks are defined: to study the initial preconditions and methodological support in the study of this problem; to analyze the data of hydrometeorological service; to determine the empirical relationships of the spatial-temporal structure in the development of arid phenomena on the territory of Kharkiv region. Presentation of the main research material. In this paper, an attempt is made to use quantitative characteristics of environmentally hazardous atmospheric phenomena development for the analysis of their formation and influence on human economic activity. To do this, we used a cartographic and mathematical method of research. It consists in the fact that natural phenomena and, in particular, environmentally dangerous ones are placed on a map in the system of conditional signs and then are analyzed by methods of mathematical statistics, quantitative characteristics of the investigated phenomenon. The apparatus of mathematical statistics helps to solve probabilistic tasks of cartographic representation of natural phenomena, as well as to study various connections between natural phenomena reflected on maps, to measure and assess them. Involvement of the mathematical apparatus in the study of the cartographic image stems from the need for in-depth knowledge of the phenomena essence depicted in the maps. The study of natural phenomena without application of the map-mathematical method is considered to be one-sided since this does not take into account one of the important aspects of any study - quantitative relations and regularities. The result of the research is an analysis of statistical indicators of agricultural crops harvest and hydrometeorological conditions in Kharkiv region. Having analyzed these indicators, we determined that quantitative dependence of the crop on the number of dry days has a complex nonlinear multi-parameter appearance. At the same time, close connection between the harvest of corn and sugar beets with weather conditions was very significant, as indicated by the large correlation coefficient between them, equal to 0.87-0.90. We worked out a hypothesis about the form of functional dependence between these components. Using the mathematical modeling method to analyze the spatio-temporal structure of natural-anthropogenic phenomenon development allows us to unify the hydrometeorological characteristics. It can be used in different fields of science, in particular, in recreational geography. The apparatus of mathematical statistics helps to reliably solve the cartographic representation tasks of natural phenomena, as well as to study the versatile links between natural and anthropogenic objects, which are reflected on the maps, measure and estimate them. Conclusions. Cartographic and mathematical research method is an important component in the study of natural phenomena and processes and helps to solve probabilistic tasks of cartographic representation of natural phenomena, as well as to study the versatile relationships between natural phenomena reflected on maps, measure and quantitatively assess them.

scholarly journals Forbidden Zones for the Expectations of Data: New Mathematical Methods and Models for Behavioral Economics

2021 ◽  
pp. 12-26
Author(s):  
Alexander Harin
Keyword(s):  
Social Sciences ◽  
Mathematical Method ◽  
Probability Theory ◽  
Behavioral Economics ◽  
Present Article ◽  
Mathematical Description ◽  
Mathematical Methods ◽  
The Social

A forbidden zone theorem, hypothesis, and applied mathematical method and model are introduced in the present article. The method and model are based on the forbidden zones and hypothesis. The article is initiated by the well-known generic problems concerned with the mathematical description of the behavior of a man. The essence of the problems consists in biases of preferences and decisions of a man in comparison with predictions of the probability theory. The model is uniformly and successfully applied for different domains. The ultimate goal of the research is to solve some generic problems of behavioral economics, decision theories, and the social sciences.

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