Browsing by Author "Tlepova M."

Now showing 1 - 2 of 2
  • Thumbnail Image
    ItemOpen Access
    Distribution of periods of the continued fractions for quadratic irrationals
    (Faculty of Engineering and Natural Sciences, 2023) Tlepova M.
    This dissertation thesis focuses on the distribution patterns of the periods of continued fractions for quadratic irrational numbers. The main objective of this thesis is to investigate and examine the patterns and distribution of the periods of continued fractions associated with quadratic irrational numbers of the form a = nVd, where n is a positive integer and d is a square-free integer. We denote the length of the period of the continued fraction as D(a). We establish a relationship between the length of the periodic part of the continued fraction D(a) and the quadratic irrational number a = nvd by introducing an exact and explicit formula for the irrational number a for specific cases when D(a) = 2 and D(a) = 3. By utilizing the equation a = n d and considering cases where the length of the periodic part is 2, we have successfully demonstrated that when n 2 1 is the solution of the Pell’s equation in the form of n? — dz* = 1, the corresponding quadratic irrational a = nvd will indeed have a periodic part of length 2. Through the proof of this theorem, we have established that for any valuc of d greatcr than or equal to 1, there exists an infinite set of positive integers n for which the length of the period D(nv 4) is precisely 2.
  • Thumbnail Image
    ItemOpen Access
    SENTIMENT ANALYSIS ON TWEETS ABOUT THE ELECTION CANDIDATES ISING TEXTBLOB
    (СДУ хабаршысы - 2023, 2023) Tlepova M.
    Abstract. Sentiment analysis is the categorization of the speaker’s, writer’s, or other subject’s perspective on a certain issue. Since Kazakhstan's presidential election in 2022 is one of the most discussed events we distinguish people’s perspectives on the election and each candidate. The possible leader of the country will be influenced by the public’s perception of a candidate. A diverse data set illustrating the current public perceptions of the candidates are gathered from the Twitter platform. The collected tweets are examined using a lexicon- based methodology TextBlob to ascertain the public’s sentiments. In this study, we analyze the collected tweets to identify the polarity and subjectivity measures that provide light on the user perception of a certain candidate.