scholarly journals ԷՅԼԵՐԻ ՄԵԹՈԴՈՎ ՈՐՈՇ ՏԵՔՍՏԱՅԻՆ ԽՆԴԻՐՆԵՐԻ ԼՈՒԾՈՒՄԸ ՈՐՊԵՍ ՍՈՎՈՐՈՂՆԵՐԻ ՏԵՍՈՂԱԿԱՆ ՄՏԱԾՈՂՈՒԹՅԱՆ ԶԱՐԳԱՑՄԱՆ ԱՌԱՆՁՆԱՀԱՏՈՒԿ ՄԱԹԵՄԱՏԻԿԱԿԱՆ ՄԻՋՈՑ / SOLUTION OF SOME TEXT PROBLEMS BY EULER'S METHOD AS A UNIQUE MATHEMATICAL TOOL FOR DEVELOPING VISUAL THINKING OF STUDENTS

2021 ◽  
pp. 228-244
Author(s):  
J. Srapionyan ◽  
A. Tadevosyan

Հոդվածում դիտարկված է Էյլերի տրամագրերի (դիագրամների) միջոցով մաթեմատիկայի դասընթացից բազմություններին առնչվող որոշ խնդիրների լուծման նոր մեթոդական հնար, որը հնարավորություն է տալիս առավել դյուրացնել և ակնառու դարձնել տեքստային խնդիրների լուծումը՝ զարգացնելով սովորողների տեսողական մտածողությունըֈ:/ The article touches upon a new methodological approach to solving some textual mathematical tasks associated with sets using Euler diagrams, which facilitates the solution of mathematical tasks, developing the visual thinking of students.

Author(s):  
V. A. Sednin ◽  
A. A. Abrazovskii

On the basis of the gas compressor units of compressor plants of a main gas pipeline mathematical models of the macro-level were generated for analysis and parametric optimization of combined energy-and-technology units. In continuation of the study these models was applied to obtain the regression dependencies. For this purpose, a numerical experiment was used which had been designed with the use of regression analysis mathematical tool, which assumes that the test results should represent independent, normally distributed, random variables with approximately equal variance. Herewith we study the dependence of the optimization criterion on the value of control parameters (factors). Planning, conducting and processing of results of the experiment was conducted in the following sequence: choice of the optimization criteria, selection of control parameters (factors), encoding factors, the matrix of experiment compiling, assessing significance of regression coefficients, testing the adequacy of the model and reproducibility of the experiments. As the optimization criteria the electricity capacity and efficiency of combined energy-technology units were adopted. As control parameters for the installation with a gas-expansion-and-generator machine the temperature of the fuel gas before the expander, the pressure of the fuel gas after the expander and the temperature of the air supplied to the compressor of the engine were adopted, while for the steam turbine the adopted optimization criteria were compression in the compressor of the engine, the steam consumption for the technology and the temperature of the air supplied to the compressor of the engine. The application of the outlined methodological approach makes it possible to obtain a simple polynomial dependence, which significantly simplify the procedures of analysis, parametric optimization and evaluation of efficiency in the feasibility studies of the options of construction of the energy facilities.


2020 ◽  
Vol 35 ◽  
pp. 03009
Author(s):  
Yury I. Dimitrienko ◽  
Kirill M. Zubarev ◽  
Elena A. Gubareva ◽  
Tatyana L. Ivanova ◽  
Raisa K. Alesina ◽  
...  

The paper examines the features of visual thinking, the authors note the importance of visual examples in modern engineering education. The article describes a methodological approach to presenting the course, based on visual theorem proofs. An example is considered the course “Theory of multivariable function” Visual examples were created at the Department of Computational Mathematics and Mathematical Physics of the Bauman Moscow State Technical University. The proposed methodological approach to the development of the course “Theory of multivariable function” allows you to use the elements of the created course in various variations for disciplines using the concept of functions of many variables, depending on the direction of training (specialty).


2006 ◽  
Vol 18 (4) ◽  
pp. 160-173 ◽  
Author(s):  
Maria Senokozlieva ◽  
Oliver Fischer ◽  
Gary Bente ◽  
Nicole Krämer

Abstract. TV news are essentially cultural phenomena. Previous research suggests that the often-overlooked formal and implicit characteristics of newscasts may be systematically related to culture-specific characteristics. Investigating these characteristics by means of a frame-by-frame content analysis is identified as a particularly promising methodological approach. To examine the relationship between culture and selected formal characteristics of newscasts, we present an explorative study that compares material from the USA, the Arab world, and Germany. Results indicate that there are many significant differences, some of which are in line with expectations derived from cultural specifics. Specifically, we argue that the number of persons presented as well as the context in which they are presented can be interpreted as indicators of Individualism/Collectivism. The conclusions underline the validity of the chosen methodological approach, but also demonstrate the need for more comprehensive and theory-driven category schemes.


2008 ◽  
Vol 29 (4) ◽  
pp. 181-188 ◽  
Author(s):  
John Allbutt ◽  
Jonathan Ling ◽  
Thomas M. Heffernan ◽  
Mohammed Shafiullah

Allbutt, Ling, and Shafiullah (2006) and Allbutt, Shafiullah, and Ling (2006) found that scores on self-report measures of visual imagery experience correlate primarily with the egoistic form of social-desirable responding. Here, three studies are reported which investigated whether this pattern of findings generalized to the ratings of imagery vividness in the auditory modality, a new version of the Vividness of Visual Imagery Questionnaire ( Marks, 1995 ), and reports of visual thinking style. The measure of social-desirable responding used was the Balanced Inventory of Desirable Responding (BIDR; Paulhus, 2002 ). Correlational analysis replicated the pattern seen in our earlier work and of the correlations with the egoistic bias, the correlation with vividness of visual imagery was largest and significant, the correlation with visual thinking style next largest and approached significance, and the correlation with vividness of auditory imagery was the smallest and not significant. The size of these correlations mirrored the extent to which the three aspects of imagery were valued by participants.


2010 ◽  
Vol 72 (08/09) ◽  
Author(s):  
A Ahmad ◽  
R Krumkamp ◽  
S Mounier-Jack ◽  
R Reintjes ◽  
R Coker

2020 ◽  
Vol 39 (5) ◽  
pp. 6419-6430
Author(s):  
Dusan Marcek

To forecast time series data, two methodological frameworks of statistical and computational intelligence modelling are considered. The statistical methodological approach is based on the theory of invertible ARIMA (Auto-Regressive Integrated Moving Average) models with Maximum Likelihood (ML) estimating method. As a competitive tool to statistical forecasting models, we use the popular classic neural network (NN) of perceptron type. To train NN, the Back-Propagation (BP) algorithm and heuristics like genetic and micro-genetic algorithm (GA and MGA) are implemented on the large data set. A comparative analysis of selected learning methods is performed and evaluated. From performed experiments we find that the optimal population size will likely be 20 with the lowest training time from all NN trained by the evolutionary algorithms, while the prediction accuracy level is lesser, but still acceptable by managers.


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