Article · Applied Mathematical Sciences · January 1, 2014
Comparison of two interval arithmetic
Ш.А. Джомартова, Talgat Zh. Mazakov, Nurgul Karymsakova, A. M. Zhaydarova
Abstract
The article compared the classical interval arithmetic and interval arithmetic introduced by the authors. In scientific research, techniques and mass production often measurements of any quantities have to be done (length, mass, current, etc.). When measurements of the same object is repeated, performed using the same meter with the same care because of the impact of various factors, the same data is never obtained. These factors include random vibrations of parts of the instrument, physiological changes of senses of the performer, various unrecorded changes in the environment (temperature, optical, electrical and magnetic properties, etc.). Although the result of each measurement with random dispersion cannot be predicted in advance, it corresponds to the normal distribution curve. “Classic” interval arithmetic suggests that all interval values are equally likely. Therefore, all the results obtained with it cover all possible values and considered as super sufficient.
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