Numerical research of the set of solutions of the equation with infinite stairs of degrees
Research Article
DOI: 10.21661/r-117454
Open Access
- Published in:
- International academic journal «Science in figures»
- Authors:
- Grigoriev A.T. 1 , Kazakova A.O. 1
- Work direction:
- [01.00.00] Физико-математические науки
- Rating:
- Article accesses:
- 3154
- Published in:
- doaj
- eLibrary.ru
- КиберЛенинка
1 FSBEI of HE “I.N. Ulianov Chuvash State University”
- APA
For citation:
Grigoriev A. T., & Kazakova A. O. (2017). Numerical research of the set of solutions of the equation with infinite stairs of degrees. Science in figures, 16-18. https://doi.org/10.21661/r-117454
- Full text
- Metrics
UDC 519.6
DOI: 10.21661/r-117454
Abstract
The article researches the equation with infinite degrees of stairs (tetration). Tetration is not an elementary function, so the application to the solution of the arguments, that are suitable for algebraic and transcendental functions, leads to erroneous and paradoxical conclusion. The work presents the numerical analysis of the set of solutions of the equation with titration and makes some conclusions of the solvability of the problem for different values of the right-hand side of the equation.
References
- 1. Шипачев В.С. Высшая математика: Учебник и практикум для бакалавров / Под ред. А.Н. Тихонова. – М.: Юрайт, 2014. – 447 с.
- 2. Построение графиков функций онлайн [Электронный ресурс]. – Режим доступа: http://yotx.ru
- 3. Тетрация [Электронный ресурс]. – Режим доступа: https://ru.wikipedia.org/wiki/тетрация
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