In this video we will study the problem that arises when trying to add up all the natural numbers and how mathematicians use regularisation to find a finite value for this sum. We will look at various regularisation methods, including the Riemann zeta function.
And find the sum of all natural numbers.
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References:
Article: habr.com/ru/companies/wolfram...
playlist: • Решаем задачки
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00:00 Convergence of series
01:20 Types of regularisation
03:12 Abel regularisation
06:29 Dirichlet regularisation
14:00 Conclusion
Write your questions in the comments and send interesting problems!
Translated with DeepL.com (free version)
Негізгі бет The sum of all natural numbers. Regularisation of divergent series.
Пікірлер: 21