Selection of Functions of the First Degree for Forecasting the Aggregate Bituminous Coal Size Characteristics

DOI

10.2991/coal-18.2018.66How to use a DOI?

Keywords

cumulative size characteristics, approximation, the Cramer method, the Gauss method, approximating functions

Abstract

The study considers sixteen functions of the first degree that were used for the analytical presentation of the aggregate size characteristics by "plus" of the Kuznetsk basin coal in the size range from 0 to 300 mm. The computational experiment was carried out for 500 aggregate coal size characteristics. The parameters of the functions were determined by the known method of least squares. When required, the formulas were reduced to a linear form. To solve systems of linear algebraic equations, the Cramer method was used in Excel (using the built-in function MDETERM () for calculating matrix determinants), Gauss method in the TurboPascal (reduction of matrices to a triangular form). The quality of the approximations was estimated by the value of the standard deviation between experimental and calculated values

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Vladimir Udovitsky
AU  - Vladimir Kandinsky
PY  - 2018/10
DA  - 2018/10
TI  - Selection of Functions of the First Degree for Forecasting the Aggregate Bituminous Coal Size Characteristics
BT  - Proceedings of the 9th China-Russia Symposium "Coal in the 21st Century: Mining, Intelligent Equipment and Environment Protection" (COAL 2018)
PB  - Atlantis Press
SP  - 355
EP  - 358
SN  - 2352-5401
UR  - https://doi.org/10.2991/coal-18.2018.66
DO  - 10.2991/coal-18.2018.66
ID  - Udovitsky2018/10
ER  -