mathematics, the Fabius function is an example of an infinitely differentiable function that is nowhere analytic, found by Jaap Fabius (1966). It was also...
4 KB (474 words) - 15:34, 26 March 2023
Taylor series; the Fabius function provides an example of a function that is infinitely differentiable but not analytic. Formally, a function f {\displaystyle...
15 KB (2,178 words) - 19:48, 25 October 2024
Smoothness (redirect from Smooth function)
the Fabius function. Although it might seem that such functions are the exception rather than the rule, it turns out that the analytic functions are scattered...
25 KB (3,916 words) - 19:48, 25 October 2024
infinitely many times in every neighbourhood of the origin. Bump function Fabius function Flat function Mollifier Exercise 12 on page 418 in Walter Rudin, Real...
14 KB (2,056 words) - 11:01, 3 August 2024
Pathological (mathematics) (redirect from Pathological function)
dense but has positive measure. The Fabius function is everywhere smooth but nowhere analytic. Volterra's function is differentiable with bounded derivative...
19 KB (2,386 words) - 14:04, 2 November 2024
\quad |t|\geq 1\end{cases}}} with F ( t ) {\displaystyle F(t)} the Fabius function. Dynamics of diabetes Epidemiology Population dynamics Classical electrodynamics...
15 KB (2,426 words) - 16:00, 26 August 2024
1986. Fabius was 37 years old when he was appointed and is, after Gabriel Attal, the second youngest prime minister of the Fifth Republic. Fabius was also...
45 KB (4,769 words) - 18:22, 21 September 2024
Quintilian (redirect from Marcus Fabius Quintilianus)
Marcus Fabius Quintilianus (Latin: [kᶣiːn.tɪ.li.ˈaː.nʊs]; c. 35 – c. 100 AD) was a Roman educator and rhetorician born in Hispania, widely referred to...
25 KB (3,199 words) - 15:41, 16 September 2024
Thue–Morse sequence (section Riemann zeta function)
the consecutive criterion can be evaded forever. Dejean's theorem Fabius function First difference of the Thue–Morse sequence Gray code Komornik–Loreti...
31 KB (3,864 words) - 15:56, 25 September 2024
confirms the hypothesis of seafloor spreading at mid-ocean ridges. The Fabius function is published. Chen Jingrun publishes Chen's theorem: every sufficiently...
12 KB (1,292 words) - 17:05, 16 June 2024