THE ROLE OF LOGARITHMS IN MODERN INFORMATION TECHNOLOGIES AND ARTIFICIAL INTELLIGENCE
DOI:
https://doi.org/10.5281/Keywords:
logarithm, artificial intelligence, information technology, machine learning, algorithms, data science, information theory, neural networks.Abstract
The rapid development of information technologies and artificial intelligence (AI) has transformed nearly every aspect of modern society. Mathematical concepts play a fundamental role in these technological advancements, and logarithms are among the most significant tools used in computational sciences. Logarithms simplify complex calculations, improve algorithm efficiency, and support data processing, machine learning, information theory, and cybersecurity. They provide mathematical foundations for analyzing large datasets, optimizing search algorithms, measuring information content, and training artificial neural networks. This article examines the theoretical basis of logarithms and explores their applications in modern information technologies and artificial intelligence.
References
1.Shannon, C. E. (1948). A Mathematical Theory of Communication. Bell System Technical Journal.
2.Cormen, T. H., Leiserson, C. E., Rivest, R. L., & Stein, C. (2022). Introduction to Algorithms. MIT Press.
3.Goodfellow, I., Bengio, Y., & Courville, A. (2016). Deep Learning. MIT Press.
4.Russell, S., & Norvig, P. (2021). Artificial Intelligence: A Modern Approach. Pearson.
5.Knuth, D. E. (2011). The Art of Computer Programming. Addison-Wesley.
6.Bishop, C. M. (2006). Pattern Recognition and Machine Learning. Springer.
7.Cover, T. M., & Thomas, J. A. (2012). Elements of Information Theory. Wiley.
8.Tanenbaum, A. S., & Wetherall, D. (2021). Computer Networks. Pearson.
9.Stallings, W. (2023). Cryptography and Network Security. Pearson.
10.Mitchell, T. M. (2017). Machine Learning. McGraw-Hill Education.
