★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★Open research. Global perspectives.
Applied Sciences OPEN ACCESS

EQUATIONS INVOLVING THE INTEGER PART OF A REAL NUMBER

Tilagova Buvgilos Saidkulovna
JSPU Academic Lyceum, High-class mathematics teachers, Uzbekistan
Ganiyeva Dilrabo Aliyevna
JSPU Academic Lyceum, High-class mathematics teachers, Uzbekistan
tajas 2024
VOL. 6 / NO. 10 OCTOBER
VOLUME 6
ISSUE 10
YEAR 2024
PAGES 18-22

Abstract

This study explores the role and implications of the integer part of real numbers, represented by the floor function (⌊x⌋), in various mathematical fields. The research examines its applications in number theory, approximation theory, algorithm design, and more. By analyzing existing literature and theoretical frameworks, this paper aims to illuminate the significance of the floor function in solving equations and understanding mathematical phenomena.

Keywords

Integer part floor function real numbers

Downloads

Download data is not yet available.

References

  1. Abdullaeva, S. (2021). The role of integer partitions in number theory. Tashkent: Uzbekistan Academy of Sciences Press.
  2. Isakov, M. (2020). Algorithmic efficiency in computational mathematics: A study of sorting algorithms. Samarkand: Samarkand State University.
  3. Karimov, R. (2022). The applications of approximation theory in real-world problems. Tashkent: University of Tashkent.
  4. Murodov, D., & Yusupov, B. (2023). Discrete mathematics and its applications in computer science. Tashkent: National University of Uzbekistan.
  5. Rahmonov, A. (2019). The influence of floor functions on dynamic systems. Journal of Mathematical Sciences, 45(3), 233-245.
  6. Tashkent, L. (2020). Continued fractions and their applications in numerical analysis. Journal of Pure Mathematics, 28(1), 12-19.
  7. Sharipov, J. (2021). Modeling periodic systems with discrete state changes. Tashkent: Institute of Mathematical Research.
  8. Nurmurodov, T. (2022). Research on Diophantine equations and their solutions. Journal of Algebra and Number Theory, 15(2), 98-107.
  9. Hoshimov, E., & Gafurov, R. (2023). The use of mathematical functions in cryptography. Proceedings of the International Conference on Mathematics and Computer Science, 2023, 85-92.
  10. Mirzayev, A. (2021). Mathematics in modern technology: Algorithms and their efficiency. Tashkent: Uzbekistan Research Institute of Mathematics.
CONTINUE EXPLORING

Most read articles by the same author(s)

Explore other published research by the authors of this article.