Data Processing with Mathematical Modeling for Research-Oriented Learning

2014 ◽  
Vol 1078 ◽  
pp. 435-438
Author(s):  
Xiu Juan Gao ◽  
Feng Xing

Data processing is applied in many fields. Here the author has also discussed it in mathematical modeling. In addition, innovation is a frequently used word in recent years, and the role of mathematical modeling activities and research-oriented learning in training of students’ innovation ability shouldn’t be overlooked. The author of this paper discusses data processing for the internal relation between them with mathematical modeling case being the carrier. This is a question of optimization. Specifically, the optimal design of a zip-top can should realize the minimum total volume of material used for producing it under the premise that volume of the can is fixed.

Author(s):  
V. V. Nefedev

For the definition and implementation of breakthrough technologies the most important is the role of scientific and technical forecasting. Well-known forecasting methods based on extrapolation, expert assessments and mathematical modeling are not universal and have a number of significant disadvantages. The article proposes an original method of scientific and technical forecasting based on the use of the methodology of artificial neural networks. 


2016 ◽  
Vol 870 ◽  
pp. 191-195
Author(s):  
N.A. Vil'bitskaya ◽  
S.A. Vilbitsky ◽  
A.G. Avakyan

The peculiarities of using mathematical and statistical data processing methods in studying the intensification in the process of sintering a ceramic material with a high content of high-calcium waste, and mineralizing sintering lithium-containing waste were studied. The region of optimal ceramic masses composition, which allows obtaining ceramic tiles with high functional properties, was defined.


2008 ◽  
Vol 45 (3) ◽  
pp. 420-428 ◽  
Author(s):  
Thomas J. Hund ◽  
Keith F. Decker ◽  
Evelyn Kanter ◽  
Peter J. Mohler ◽  
Penelope A. Boyden ◽  
...  

2008 ◽  
Vol 18 (08) ◽  
pp. 1409-1441 ◽  
Author(s):  
AVNER FRIEDMAN ◽  
BEI HU

The cells in a tissue occupying a region Ωt are divided according to their cycling phase. The density pi of cells in phase i depends on the spatial variable x, the time t, and the time si since the cells entered in phase i. The pi(x, t, si) and the oxygen concentration w(x, t) satisfy a system of PDEs in Ωt, and the boundary of Ωt is a free boundary. We denote by [Formula: see text] the oxygen concentration on the free boundary and consider the radially symmetric case, so that Ωt = {r < R(t)}. We prove that R(t) is always bounded; furthermore, if [Formula: see text] is small, then R(t) → 0 as t → ∞, and if [Formula: see text] is large, then R(t) ≥ c > 0 for all t. Finally, we prove the existence and uniqueness of a stationary solution in a special case.


2021 ◽  
Vol 12 (1) ◽  
pp. 193-218
Author(s):  
Eko Yulianto ◽  
Wahyudin Wahyudin ◽  
Ahmad Tafsir ◽  
Sufyani Prabawanto

Ethno-mathematical research trends pioneered by D'Ambrosio are on the rise, especially in Indonesia as a nation with high cultural diversity which has a lot of potential researches to be explored. This paper has two major objectives, first to explore the importance of the role of mathematics in the practice of Dhikr Jahar in Tariqa Qodiriyyah Naqsyabandiyyah and second to contrast the differences between mathematical phenomena and mathematical concepts in ethnomathematics research. Attempts to contrast the mathematical phenomena and mathematical concepts in ethnomathematics was expected to provide a sharper highlight in the writing of ethnomathematics research. This research used qualitative methods with two approaches, namely ethnography and phenomenology. The locations of the research are at Pondok Pesantren Suryalaya-Sirnarasa and Padepokan Talangraga Tasikmalaya with observations for 9 months in the first stage and then 6 months in the second stage. The number of respondents interviewed in this research were 48 people. Data processing was performed using the Nvivo 12 Plus. The results showed that there are many mathematical phenomena in the practice of Dhikr Jahar Ikhwan TQN. In carrying out the practice of dhikr, the Ikhwan used a mathematical concept with two events, fingers and prayer beads aids. The concept of counting in dhikr was used strictly by the Ikhwan. They believe that numbers have an important role in the quantity of dhikr. Contrasting mathematical phenomena and mathematical concepts can be done with an emic and etic approach and is expected to become an alternative style in ethnomathematics research. 


Author(s):  
Liudmyla Sokolova ◽  
Anita Lytvynova

Currently, when the Ukrainian economy is developing in an unstable, uncertain, aggressive, dynamic external environment, there is an urgent need to increase the level of investment attractiveness of each region of the country and, as a consequence, the need to increase attention to scientific and methodological support for assessing the integral indicator of investment attractiveness region. In connection with the decentralization of public administration in Ukraine, the role of local authorities in improving the socio-economic situation of its regions is increasing. In the context of real limited financial resources in the country, the problem of increasing the level of investment attractiveness of each region is becoming urgent as a characteristic that allows active investors to form an idea of the state of potential investment objects, as well as ensuring the reliability of obtaining the expected results. It should be noted that the choice of assessment indicators is subjective and depends on the goal of the investor. Such a format for solving this problem requires an assessment of the investment attractiveness of regions based on economic and mathematical modeling. Although there are many developments in this area, today there is no single effective method for assessing the investment attractiveness of the region. The work reveals the essence of the concept of investment attractiveness of a region, defines the methodological provisions of its assessment, the implementation of which requires the use of certain data from official regional statistics. Based on the basic local statistical indicators of the Kharkov, Kiev and Odessa regions of the country, a comparative assessment of their investment attractiveness was carried out. The methodological approaches and parameters determining the investment attractiveness of the regions of Ukraine have been analyzed. The information on the level of investment attractiveness of Kharkiv, Kiev and Odessa regions in 2019 has been systematised, the integral indicator of its evaluation has been defined. In the future, it is recommended to calculate the integral indicator of investment attractiveness for all regions of the country in dynamics.


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