Browsing by Author "Kadyrov Sh."

Now showing 1 - 3 of 3
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    CORRELATION BETWEEN OIL PRICES AND CURRENCY EXCHANGE RATES.
    (СДУ хабаршысы - 2018, 2018) Abdimanapov D. ; Kadyrov Sh. ; Rozakhunova E.
    Abstract. In this article, we study how oil prices affect the USD vs. KZT exchange rates. Our methods base on elementary statistical data analysis. For this purpose, we collect Brent oil prices and US dollar exchange rates in Kazakh tenge for entire year of 2016, in a weekly basis. Our findings suggest that there is a strong correlation between two variables. Besides, we use simple linear regression analysis to provide a formula that predicts the USD rate given the oil price. To make the paper accessible to High school students, we keep most of the analysis as elementary as possible and self-contained.
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    LAGRANGE’S THEOREM AND 2- CONTINUED FRACTION EXPANSION
    (СДУ хабаршысы - 2019, 2019) Kadyrov Sh. ; Mashurov F.
    Abstract. The simple continued fraction theory is a sub-branch of number theory that is well developed. One of the classical results is due to Lagrange which states that the simple continued fraction expansion of a real number has eventually periodic expansion if and only if it is quadratic irrational. Similar results are not available when one considers N-continued fraction expansion which is not so well developed theory. In this article, authors aim to provide computational evidence when a quadratic irrational may not necessarily have eventually periodic 2-continued fraction expansion. Moreover, a proof is provided for a special type of real numbers for which Lagrange’s theorem does hold.
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    PRINCIPAL COMPONENT ANALYSIS AND A MULTILINGUAL CONSTRUCT TO DETERMINE THE UNDERGRADUATE MAJOR SELECTION FACTORS
    (СДУ хабаршысы - 2020, 2020) Assanbayeva G. ; Kadyrov Sh.
    Abstract. In this article, we review mathematics behind well-known Principal Component Analysis from Linear Algebra implemented in various applied fields. As an application, we develop a construct to measure factors that affect college students in their major selection. This is a multilingual construct given in three languages, namely Kazakh, Russian, and English. To this end, we prepare a survey consisting of 27 Likert scale items in three languages and it is conducted among 314 undergraduate students in Kazakhstan. For dimensionality reduction, Principal Component Analysis is carried in python programming language which resulted in 9 major scales with only 22 elements. The overall reliability of the test is calculated to be 0,856. The nine scales are the effect of Uniform National Testing, state grant affect, personal interest affect, skills affect, occupation salary affect, teacher affect, external affect, university cost affect, parent’s affect.